Calculus Volume 1
17th Edition
ISBN: 9781938168024
Author: Strang, Gilbert
Publisher: OpenStax College
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Chapter 1.5, Problem 247E
For the following exercises, write the equation in equivalent exponential form.
247.
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Design a Turing Machine recognizing each of the following languages and draw its state diagram.
Note that the transition functions of the Turing Machine must be in the format of “a → b,L/R", namely the machine
reads single symbol a from the tape, writes single symbol b to the cell to replace a, and then goes to either left L or
right R. You will receive 0 point if you do not follow this instruction.
(1) {w|w=a²b³, n ≥ 0}
(2) {w|w=a'b³,i0}
(3) {w|w a'bick,i
Design a PDA recognizing each of the following languages and draw its state diagram.
Note that the transition function must be in the format of “a, b →c", namely we can only push/pop one symbol
into/from the stack one time upon one input symbol. You will receive 0 point if you push/pop multiple symbols
into/from the stack one time upon one input symbol.
(1) {w|wa"b", n is odd}
=
(2) {w|w=w², length of w is odd and Σ = {a,b} }
(3) {w|w= = a²b²n, n ≥1 }
(4) {w|w=
=a^bn+mcm, n≥0, m ≥ 1 }
(5) {w|w=a²b³n, n≥0}
(6) {w|w= = a¹³, n ≥ 1, m≥ 1 and n‡m }
Hint: two cases: n > m and n
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DETAILS
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LARLINALG8 7.4.013.
Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.)
Y1' = -4Y1
Y2' =
-12
(y1(t), Y2(t)) = (
3
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5. [-/3 Points]
DETAILS
MY NOTES
LARLINALG8 7.4.019.
Solve the system of first-order linear differential equations. (Use C1, C2, C3, and C4 as constants.)
Y1' = 6y1
Y2' =
2y2
Y3' = -643
Y4' = -2y4
=
(y1(t), y2(t), y3(t), Y4(t)) =
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G Use the Principal Axes The X G cot(0) - Google Search
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DETAILS
MY NOTES
LARLINALG8 7.4.023.
Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.)
ASK YOUR TEACHER
Y1' = Y1 + 5y2
Y2'…
Chapter 1 Solutions
Calculus Volume 1
Ch. 1.1 - For the following exercises, (a) determine the...Ch. 1.1 - For the following exercises, (a) determine the...Ch. 1.1 - For the following exercises, (a) determine the...Ch. 1.1 - For the following exercises, (a) determine the...Ch. 1.1 - For the following exercises, (a) determine the...Ch. 1.1 - For the following exercises, (a) determine the...Ch. 1.1 - For the following exercises, find the values for...Ch. 1.1 - For the following exercises, find the values for...Ch. 1.1 - For the following exercises, find the values for...Ch. 1.1 - For the following exercises, find the values for...
Ch. 1.1 - For the following exercises, find the values for...Ch. 1.1 - For the following exercises, find the values for...Ch. 1.1 - For the following exercises, find the values for...Ch. 1.1 - For the following exercises, find the domain,...Ch. 1.1 - For the following exercises, find the domain,...Ch. 1.1 - For the following exercises, find the domain,...Ch. 1.1 - For the following exercises, find the domain,...Ch. 1.1 - For the following exercises, find the domain,...Ch. 1.1 - For the following exercises, find the domain,...Ch. 1.1 - For the following exercises, find the domain,...Ch. 1.1 - For the following exercises, find the domain,...Ch. 1.1 - For the following exercises, set up a table to...Ch. 1.1 - For the following exercises, set up a table to...Ch. 1.1 - For the following exercises, set up a table to...Ch. 1.1 - For the following exercises, set up a table to...Ch. 1.1 - For the following exercises, set up a table to...Ch. 1.1 - For the following exercises, set up a table to...Ch. 1.1 - For the following exercises, use the vertical line...Ch. 1.1 - For the following exercises, use the vertical line...Ch. 1.1 - For the following exercises, use the vertical line...Ch. 1.1 - For the following exercises, use the vertical line...Ch. 1.1 - For the following exercises, use the vertical line...Ch. 1.1 - For the following exercises, use the vertical line...Ch. 1.1 - For the following exercises, use the vertical line...Ch. 1.1 - For the following exercises, use the vertical line...Ch. 1.1 - For the following exercises, for each pair of...Ch. 1.1 - For the following exercises, for each pair of...Ch. 1.1 - For the following exercises, for each pair of...Ch. 1.1 - For the following exercises, for each pair of...Ch. 1.1 - For the following exercises, for each pair of...Ch. 1.1 - For the following exercises, for each pair of...Ch. 1.1 - For the following exercises, for each pair of...Ch. 1.1 - For the following exercises, for each pair of...Ch. 1.1 - For the following exercises, for each pair of...Ch. 1.1 - For the following exercises, for each pair of...Ch. 1.1 - For the following exercises, for each pair of...Ch. 1.1 - For the following exercises, for each pair of...Ch. 1.1 - For the following exercises, for each pair of...Ch. 1.1 - The table below lists the NBA championship winners...Ch. 1.1 - The area A of a square depends on the length of...Ch. 1.1 - [T] The volume of a cube depends on the length of...Ch. 1.1 - [T] A rental car company rents cars for a flat fee...Ch. 1.1 - [T] A vehicle has a 20-gal tank and gets 15 mpg....Ch. 1.1 - [T] The volume V of a sphere depends on the length...Ch. 1.1 - [T] A certain bacterium grows in culture in a...Ch. 1.1 - [T] An American tourist visits Paris and must...Ch. 1.1 - [T] The manager at a skateboard shop pays his...Ch. 1.1 - Use a graphing calculator to graph the half-circle...Ch. 1.2 - For the following exercises, for each pair of...Ch. 1.2 - For the following exercises, for each pair of...Ch. 1.2 - For the following exercises, for each pair of...Ch. 1.2 - For the following exercises, for each pair of...Ch. 1.2 - For the following exercises, for each pair of...Ch. 1.2 - For the following exercises, for each pair of...Ch. 1.2 - For the following exercises, for each pair of...Ch. 1.2 - For the following exercises, for each pair of...Ch. 1.2 - For the following exercises, write the equation of...Ch. 1.2 - For the following exercises, write the equation of...Ch. 1.2 - For the following exercises, write the equation of...Ch. 1.2 - For the following exercises, write the equation of...Ch. 1.2 - For the following exercises, write the equation of...Ch. 1.2 - For the following exercises, write the equation of...Ch. 1.2 - For the following exercises, write the equation of...Ch. 1.2 - For the following exercises, write the equation of...Ch. 1.2 - For the following exercises, for each linear...Ch. 1.2 - For the following exercises, for each linear...Ch. 1.2 - For the following exercises, for each linear...Ch. 1.2 - For the following exercises, for each linear...Ch. 1.2 - For the following exercises, for each linear...Ch. 1.2 - For the following exercises, for each linear...Ch. 1.2 - For the following exercises, for each linear...Ch. 1.2 - For the following exercises, for each linear...Ch. 1.2 - For the following exercises, for each polynomial,...Ch. 1.2 - For the following exercises, for each polynomial,...Ch. 1.2 - For the following exercises, for each polynomial,...Ch. 1.2 - For the following exercises, for each polynomial,...Ch. 1.2 - For the following exercises, for each polynomial,...Ch. 1.2 - For the following exercises, use the graph of...Ch. 1.2 - For the following exercises, use the graph of...Ch. 1.2 - For the following exercises, use the graph of...Ch. 1.2 - For the following exercises, use the graph of...Ch. 1.2 - For the following exercises, use the graph of...Ch. 1.2 - For the following exercises, use the graph of...Ch. 1.2 - For the following exercises, for each of the...Ch. 1.2 - For the following exercises, for each of the...Ch. 1.2 - For the following exercises, for each of the...Ch. 1.2 - For the following exercises, for each of the...Ch. 1.2 - For the following exercises, determine whether the...Ch. 1.2 - For the following exercises, determine whether the...Ch. 1.2 - For the following exercises, determine whether the...Ch. 1.2 - For the following exercises, determine whether the...Ch. 1.2 - For the following exercises, determine whether the...Ch. 1.2 - [T] A company purchases some computer equipment...Ch. 1.2 - [T] Total online shopping during the Christmas...Ch. 1.2 - [T] A family bakery makes cupcakes and sells them...Ch. 1.2 - [T] A house purchased for $250,000 is expected to...Ch. 1.2 - [T] A car was purchased for $26,000. The value of...Ch. 1.2 - [T] A condominium in an upscale part of the city...Ch. 1.2 - [T] The total cost C (in thousands of dollars) to...Ch. 1.2 - [T] A professor asks her class to report the...Ch. 1.2 - [T] The output (as a percent of total capacity) of...Ch. 1.2 - [T] The admissions office at a public university...Ch. 1.3 - For the following exercises, convert each angle in...Ch. 1.3 - For the following exercises, convert each angle in...Ch. 1.3 - For the following exercises, convert each angle in...Ch. 1.3 - For the following exercises, convert each angle in...Ch. 1.3 - For the following exercises, convert each angle in...Ch. 1.3 - For the following exercises, convert each angle in...Ch. 1.3 - For the following exercises, convert each angle in...Ch. 1.3 - For the following exercises, convert each angle in...Ch. 1.3 - For the following exercises, convert each angle in...Ch. 1.3 - For the following exercises, convert each angle in...Ch. 1.3 - Evaluate the following functional values. 123....Ch. 1.3 - Evaluate the following functional values. 124....Ch. 1.3 - Evaluate the following functional values. 125....Ch. 1.3 - Evaluate the following functional values. 126....Ch. 1.3 - Evaluate the following functional values. 127....Ch. 1.3 - Evaluate the following functional values. 128....Ch. 1.3 - For the following exercises, consider triangle...Ch. 1.3 - For the following exercises, consider triangle...Ch. 1.3 - For the following exercises, consider triangle...Ch. 1.3 - For the following exercises, consider triangle...Ch. 1.3 - For the following exercises, consider triangle...Ch. 1.3 - For the following exercises, consider triangle...Ch. 1.3 - For the following exercises, P is a point on the...Ch. 1.3 - For the following exercises, P is a point on the...Ch. 1.3 - For the following exercises, P is a point on the...Ch. 1.3 - For the following exercises, P is a point on the...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, simplify each...Ch. 1.3 - For the following exercises, verify that each...Ch. 1.3 - For the following exercises, verify that each...Ch. 1.3 - For the following exercises, verify that each...Ch. 1.3 - For the following exercises, verify that each...Ch. 1.3 - For the following exercises, verify that each...Ch. 1.3 - For the following exercises, verify that each...Ch. 1.3 - For the following exercises, verify that each...Ch. 1.3 - For the following exercises, verify that each...Ch. 1.3 - For the following exercises, solve the...Ch. 1.3 - For the following exercises, solve the...Ch. 1.3 - For the following exercises, solve the...Ch. 1.3 - For the following exercises, solve the...Ch. 1.3 - For the following exercises, solve the...Ch. 1.3 - For the following exercises, solve the...Ch. 1.3 - For the following exercises, solve the...Ch. 1.3 - For the following exercises, solve the...Ch. 1.3 - For the following exercises, each graph is of the...Ch. 1.3 - For the following exercises, each graph is of the...Ch. 1.3 - For the following exercises, each graph is of the...Ch. 1.3 - For the following exercises, each graph is of the...Ch. 1.3 - For the following exercises, find a. the...Ch. 1.3 - For the following exercises, find a. the...Ch. 1.3 - For the following exercises, find a. the...Ch. 1.3 - For the following exercises, find a. the...Ch. 1.3 - For the following exercises, find a. the...Ch. 1.3 - For the following exercises, find a. the...Ch. 1.3 - [T] The diameter of a wheel rolling on the ground...Ch. 1.3 - [T] Find the length of the arc intercepted by...Ch. 1.3 - [T] As a point P moves around a circle, the...Ch. 1.3 - [T] A total of 250,000 m2 of land is needed to...Ch. 1.3 - [T] The area of an isosceles triangle with equal...Ch. 1.3 - [T] A panicle travels in a circular path at a...Ch. 1.3 - [T] An alternating current for outlets in a home...Ch. 1.3 - [T] The number of hours of daylight in a northeast...Ch. 1.3 - [T] Suppose that T=50+10sin[12(t8)] is a...Ch. 1.3 - [T] The function H(t)=8sin(6t) models the height H...Ch. 1.4 - Consider the graph in Figure 1.42 of the function...Ch. 1.4 - Now consider other graphs of the form...Ch. 1.4 - Repeat for A = 1, B = 2. Is there any relationship...Ch. 1.4 - Complete the following table, adding a few choices...Ch. 1.4 - 5. Try to figure out the formula for the y-values.Ch. 1.4 - 6. The formula for the x-values is a little...Ch. 1.4 - 7. If you found formulas for parts (5) and (6),...Ch. 1.4 - For the following exercises, use the horizontal...Ch. 1.4 - For the following exercises, use the horizontal...Ch. 1.4 - For the following exercises, use the horizontal...Ch. 1.4 - For the following exercises, use the horizontal...Ch. 1.4 - For the following exercises, use the horizontal...Ch. 1.4 - For the following exercises, use the horizontal...Ch. 1.4 - For the following exercises, a. find the inverse...Ch. 1.4 - For the following exercises, a. find the inverse...Ch. 1.4 - For the following exercises, a. find the inverse...Ch. 1.4 - For the following exercises, a. find the inverse...Ch. 1.4 - For the following exercises, a. find the inverse...Ch. 1.4 - For the following exercises, a. find the inverse...Ch. 1.4 - For the following exercises, use the graph of f...Ch. 1.4 - For the following exercises, use the graph of f...Ch. 1.4 - For the following exercises, use the graph of f...Ch. 1.4 - For the following exercises, use the graph of f to...Ch. 1.4 - For the following exercises, use composition to...Ch. 1.4 - For the following exercises, use composition to...Ch. 1.4 - For the following exercises, use composition to...Ch. 1.4 - For the following exercises, use composition to...Ch. 1.4 - For the following exercises, use composition to...Ch. 1.4 - For the following exercises, use composition to...Ch. 1.4 - For the following exercises, use composition to...Ch. 1.4 - For the following exercises, use composition to...Ch. 1.4 - For the following exercises, evaluate the...Ch. 1.4 - For the following exercises, evaluate the...Ch. 1.4 - For the following exercises, evaluate the...Ch. 1.4 - For the following exercises, evaluate the...Ch. 1.4 - For the following exercises, evaluate the...Ch. 1.4 - For the following exercises, evaluate the...Ch. 1.4 - For the following exercises, evaluate the...Ch. 1.4 - For the following exercises, evaluate the...Ch. 1.4 - For the following exercises, evaluate the...Ch. 1.4 - The function C=T(F)=(5/9)(F32) converts degrees...Ch. 1.4 - [T] The velocity V (in centimeters per second) of...Ch. 1.4 - A function that converts dress sizes in the United...Ch. 1.4 - [T] The cost to remove a toxin from a lake is...Ch. 1.4 - [T] A race car is accelerating at a velocity given...Ch. 1.4 - [T] An airplane’s Mach number M is the ratio of...Ch. 1.4 - [T] Using =2sin1(1M) , find the Mach number M for...Ch. 1.4 - [T] The temperature (in degrees Celsius) of a city...Ch. 1.4 - [T] The depth (in feet) of water at a dock changes...Ch. 1.4 - [T] All object moving in simple harmonic motion is...Ch. 1.4 - A local art gallery has a portrait 3 ft in height...Ch. 1.4 - [T] Use a calculator to evaluate...Ch. 1.4 - [T] Use a calculator to evaluate...Ch. 1.5 - For the following exercises, evaluate the given...Ch. 1.5 - For the following exercises, evaluate the given...Ch. 1.5 - For the following exercises, evaluate the given...Ch. 1.5 - For the following exercises, evaluate the given...Ch. 1.5 - For the following exercises, match the exponential...Ch. 1.5 - For the following exercises, match the exponential...Ch. 1.5 - For the following exercises, match the exponential...Ch. 1.5 - For the following exercises, match the exponential...Ch. 1.5 - For the following exercises, match the exponential...Ch. 1.5 - For the following exercises, match the exponential...Ch. 1.5 - For the following exercises, sketch the graph of...Ch. 1.5 - For the following exercises, sketch the graph of...Ch. 1.5 - For the following exercises, sketch the graph of...Ch. 1.5 - For the following exercises, sketch the graph of...Ch. 1.5 - For the following exercises, sketch the graph of...Ch. 1.5 - For the following exercises, sketch the graph of...Ch. 1.5 - For the following exercises, sketch the graph of...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, write the equation in...Ch. 1.5 - For the following exercises, sketch the graph of...Ch. 1.5 - For the following exercises, sketch the graph of...Ch. 1.5 - For the following exercises, sketch the graph of...Ch. 1.5 - For the following exercises, sketch the graph of...Ch. 1.5 - For the following exercises, sketch the graph of...Ch. 1.5 - For the following exercises, sketch the graph of...Ch. 1.5 - For the following exercises, use properties of...Ch. 1.5 - For the following exercises, use properties of...Ch. 1.5 - For the following exercises, use properties of...Ch. 1.5 - For the following exercises, use properties of...Ch. 1.5 - For the following exercises, use properties of...Ch. 1.5 - For the following exercises, use properties of...Ch. 1.5 - For the following exercises, solve the exponential...Ch. 1.5 - For the following exercises, solve the exponential...Ch. 1.5 - For the following exercises, solve the exponential...Ch. 1.5 - For the following exercises, solve the exponential...Ch. 1.5 - For the following exercises, solve the exponential...Ch. 1.5 - For the following exercises, solve the exponential...Ch. 1.5 - For the following exercises, solve the exponential...Ch. 1.5 - For the following exercises, solve the exponential...Ch. 1.5 - For the following exercises, solve the logarithmic...Ch. 1.5 - For the following exercises, solve the logarithmic...Ch. 1.5 - For the following exercises, solve the logarithmic...Ch. 1.5 - For the following exercises, solve the logarithmic...Ch. 1.5 - For the following exercises, solve the logarithmic...Ch. 1.5 - For the following exercises, solve the logarithmic...Ch. 1.5 - For the following exercises, solve the logarithmic...Ch. 1.5 - For the following exercises, solve the logarithmic...Ch. 1.5 - For the following exercises, rise the...Ch. 1.5 - For the following exercises, rise the...Ch. 1.5 - For the following exercises, rise the...Ch. 1.5 - For the following exercises, rise the...Ch. 1.5 - For the following exercises, rise the...Ch. 1.5 - For the following exercises, rise the...Ch. 1.5 - Rewrite the following expressions in terms of...Ch. 1.5 - [T] The number of bacteria N in a culture after t...Ch. 1.5 - [T] The demand D (in millions of barrels) for oil...Ch. 1.5 - [T] The amount A of a $100,000 investment paying...Ch. 1.5 - [T] An investment is compounded monthly,...Ch. 1.5 - [T] The concentration of hydrogen ions in a...Ch. 1.5 - [T] Iodine-131 is a radioactive substance that...Ch. 1.5 - [T] According to the World Bank, at the end of...Ch. 1.5 - [T] The amount A accumulated after 1000 dollar’s...Ch. 1.5 - [T] A bacterial colony grown in a lab is known to...Ch. 1.5 - [T] The rabbit population on a game reserve...Ch. 1.5 - [T] The 1906 earthquake in Sail Francisco had a...Ch. 1 - True or False? Justify your answer with a proof or...Ch. 1 - True or False? Justify your answer with a proof or...Ch. 1 - True or False? Justify your answer with a proof or...Ch. 1 - True or False? Justify your answer with a proof or...Ch. 1 - For the following problems, state the domain and...Ch. 1 - For the following problems, state the domain and...Ch. 1 - For the following problems, state the domain and...Ch. 1 - For the following problems, state the domain and...Ch. 1 - Find the degree, y-intercept, and zeros for the...Ch. 1 - Find the degree, y-intercept, and zeros for the...Ch. 1 - Simplify the following trigonometric expressions....Ch. 1 - Simplify the following trigonometric expressions....Ch. 1 - Solve the following trigonometric equations on the...Ch. 1 - Solve the following trigonometric equations on the...Ch. 1 - Solve the following logarithmic equations. 324....Ch. 1 - wSolve the following logarithmic equations. 325....Ch. 1 - Are the following functions one-to-one over their...Ch. 1 - Are the following functions one-to-one over their...Ch. 1 - For the following problems, determine the largest...Ch. 1 - For the following problems, determine the largest...Ch. 1 - A car is racing along a circular track with...Ch. 1 - For the following problems, consider a restaurant...Ch. 1 - For the following problems, consider a restaurant...Ch. 1 - For the following problems, consider a restaurant...Ch. 1 - For the following problems, consider a restaurant...Ch. 1 - For the following problems, consider radioactive...Ch. 1 - For the following problems, consider radioactive...
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- (a) (b) (c) (d) de unique? Answer the following questions related to the linear system x + y + z = 2 x-y+z=0 2x + y 2 3 rewrite the linear system into the matrix-vector form A = 5 Fuse elementary row operation to solve this linear system. Is the solution use elementary row operation to find the inverse of A and then solve the linear system. Verify the solution is the same as (b). give the null space of matrix A and find the dimension of null space. give the column space of matrix A and find the dimension of the column space of A (Hint: use Rank-Nullity Theorem).arrow_forwardplease explain in a clear wayarrow_forward[) Hwk 29 SUBMIT ANSWEK Hwk 30 - (MA 244-03) (SP25) || X - Mind Tap Cengage Learning ☑ MA244-03_Syllabus_Spring, 20 × b Answered: [) 90% Hwk 29 Hwk X Rotation of Axes Example - Elimi X + https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606609 B שי 90% 2. [-/3 Points] DETAILS MY NOTES LARLINALG8 7.4.003. Use the age transition matrix L and age distribution vector X1 to find the age distribution vectors X2 and x3. 0 34 x2 = X3 = L = ↓ ↑ 1 0 0 x1 = 1 0 0 2 20 20 20 Then find a stable age distribution vector. x = t ↓ 1 Need Help? Read It SUBMIT ANSWER 3. [-/3 Points] DETAILS MY NOTES LARLINALG8 7.4.004. Use the age transition matrix L and age distribution vector X1 to find the age distribution vectors x2 and ×3. ill { ASK YOUR TEACHER PRACTICE ANOTHER ASK YOUR TEACHER PRACTICE ANOTHERarrow_forward
- Here is data with as the response variable. x y54.4 19.124.9 99.334.5 9.476.6 0.359.4 4.554.4 0.139.2 56.354 15.773.8 9-156.1 319.2Make a scatter plot of this data. Which point is an outlier? Enter as an ordered pair, e.g., (x,y). (x,y)= Find the regression equation for the data set without the outlier. Enter the equation of the form mx+b rounded to three decimal places. y_wo= Find the regression equation for the data set with the outlier. Enter the equation of the form mx+b rounded to three decimal places. y_w=arrow_forwardPoints z1 and z2 are shown on the graph.z1 is at (4 real,6 imaginary), z2 is at (-5 real, 2 imaginary)Part A: Identify the points in standard form and find the distance between them.Part B: Give the complex conjugate of z2 and explain how to find it geometrically.Part C: Find z2 − z1 geometrically and explain your steps.arrow_forward[) Hwk 29 SUBMIT ANSWER Hwk 29 - (MA 244-03) (SP25) || X - Mind Tap Cengage Learning ☑ MA244-03_Syllabus_Spring, 20 × b Answered: ( Homework#8 | ba X + https://www.webassign.net/web/Student/Assignment-Responses/submit?dep=36606608&tags=autosave#question3706218_2 2. [-/2.85 Points] DETAILS MY NOTES LARLINALG8 7.3.003. Prove that the symmetric matrix is diagonalizable. (Assume that a is real.) 0 0 a A = a 0 a 0 0 Find the eigenvalues of A. (Enter your answers as a comma-separated list. Do not list the same eigenvalue multiple times.) λ= Find an invertible matrix P such that P-1AP is diagonal. P = Which of the following statements is true? (Select all that apply.) ☐ A is diagonalizable because it is a square matrix. A is diagonalizable because it has a determinant of 0. A is diagonalizable because it is an anti-diagonal matrix. A is diagonalizable because it has 3 distinct eigenvalues. A is diagonalizable because it has a nonzero determinant. A is diagonalizable because it is a symmetric…arrow_forward
- A polar curve is represented by the equation r1 = 7 + 4cos θ.Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation.Part B: Is the curve symmetrical to the polar axis or the line θ = pi/2 Justify your answer algebraically.Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?arrow_forwardA curve, described by x2 + y2 + 8x = 0, has a point A at (−4, 4) on the curve.Part A: What are the polar coordinates of A? Give an exact answer.Part B: What is the polar form of the equation? What type of polar curve is this?Part C: What is the directed distance when Ø = 5pi/6 Give an exact answer.arrow_forwardNew folder 10. Find the area enclosed by the loop of the curve (1- t², t-t³)arrow_forward
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