Find the slope of the tangent line to the graph of the function at the given point. f(x) = -4x + 5 at (-1, 9) m Determine an equation of the tangent line. y = Need Help? Read It Watch It SUBMIT ANSWER

Q: 1 Find a vector parallel to the line defined by the parametric equations (x(t) = -2t y(t) == 1- 9t…

A: The parametric equations for the line are given as:  x(t)=−2t,y(t)=1−9t,z(t)=−1−t  Step 1: Find a…

Q: 21. Determine for which values of m the function (x) = x™ is a solution to the given equation. a.…

A: Note  why x=0 : because when x=0, and m=-3,  x−3 is undefined. So in general this is valid for…

Q: Question 3 and 4

A: 3  4.

Q: g Ske Find the area of the region bounded by the parabola x = 2y- y² + 1 and the line y = x + 1

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 2. Find the function f(x) given that f'(x) = 3cos (x) - 2sin(x) and f(π/6)=√3. Leave your answer in…

A: To find the function f(x), we need to integrate f'(x). f′(x)=3cos(x)−2sin(x) Integrating both sides,…

Q: 2. Suppose the graph below left is the function f(x). In the space below, describe what…

A: Step 1:Step 2: Step 3: Step 4:

Q: #19, #25

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Q: Question Is the function f(x) shown in the graph below continuous at x = -5? f(z) 7 6 5 4 2 1 0 -10…

A: Solution-

Q: 21. First-Order Constant-Coefficient Equations. a. Substituting y = ert, find the auxiliary equation…

A: a. The given first-order linear differential equation is :ay′+by=0where a and b are constants with…

Q: 2. Answer the following questions. (A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²),…

A: Step 1:A. A vector field F is given such that we have to verify the differential identity given…

Q: Find area of the sector show work pls

A: The formula for the area of a sector is:  A=360∘θ​×πr2  where:• θ = 260° (central angle)• r = 11 mi…

Q: 3. Use the graph for problem #35, p175 to answer the questions. The average price (in cents) per…

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Q: Calculate the limit lim X-a x-a 5 using the following factorization formula where n is a positive…

A: Step 1: solution  Step 2: Step 3: Step 4:

Q: #7 Using implicit differentiation, find the equation of the tangent line to the given curve at the…

A: Step 1:Step 2:

Q: 4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute…

A: a) 13 miles.b) 12 miles.c) 24 miles.d) 10 miles

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Q: Simpson’s Rule with n = 4 subintervals to estimate the integral of the squre root of x dx with upper…

A: We can estimate the error made using Simpson's Rule using the error bound formula for Simpson's…

Q: Example 1 Solve the following differential equations: dy dx ex = 3x²-6x+5 dy dx = 4, y(0) = 3 x dy…

A: If you have any questions let me know in the comment box thankyou.

Q: Find the following limit or state that it does not exist. x² +x-20 lim x-4 x-4 Select the correct…

A: Step 1: Select 5 values that should be substituted as the x-value into the equation (the number, 2…

Q: #1, #9

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: temperature in degrees Fahrenheit, n hours since midnight. 5. The temperature was recorded at…

A: Questions 5: Part (a) :- Solution   Step 1:    Describe the overall trend of temperature throughout…

Q: find three soultion independed by lagrang 2x (y + z²)p + y(2y + z²)q = Z³

A: Let's give it a try. To provide precise answer, I believe further reference is necessary, but I will…

Q: find a simple formula fot the nth term of the following sequences 1,3,7,15,31,63,. . .

A: First, we need to identify the pattern in the sequence. By observing the sequence, we can see that…

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A: Step 1:Ship A starts 40 nautical miles west of Ship B and is sailing west at 18 knots (18 nautical…

Q: 4 44 3+ 2+ -4-3 -2 -1 2 3 4 -2 -3. Find the values at X which the graph is discontinuous and…

A: We determine the points of discontinuity and categorize them from the graph:• At x = 3: There is a…

Q: Solve: coshx-1.dx do Sinho + cosho Solve: S Salve dx 4-x2 Solve dx √ex+1 If y = (x² +1). sech (lax),…

A: Step 1:  Step 2: Step 3: Step 4:

Q: Im confused on part d

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Q: Total marks 15 Total marks on paper: 80 6. Let DCR2 be a bounded domain with the boundary ǝD which…

A: Approach to solving the question: Detailed explanation:Green's Theorem:For a region D with a…

Q: By using Laplace transforms, solve the following differential equation subjectto the given initial…

A: Used Laplace Transformation:

Q: 36. Target Weight. The target weight w for an adult man of medium build is w(h) = 0.0728h² - 6.986h…

A: Step 1: Step 2: Step 3: Step 4:

Q: 10. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.1.506.XP. Evaluate the integral. √xy dy Need Help?…

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Q: Determine the following limit. lim 35w² +8w+4 w→∞ √49w+w³ 3 Select the correct choice below, and, if…

A: Step 1:  Given Limit ExpressionWe must assess the following boundaries:…

Q: Suppose the number of people who register to attend the Tucson Festival of Books can be modeled by…

A: The problem is asking us to find the time it will take for the number of people who register to…

Q: Use Simpson's Rule with n= 4 subintervals to estimate the integral of the square root of x  dx  with…

A: Simpson's Rule is a numerical method used to approximate the definite integral of a function. It…

Q: 5 2 3. f(x) = 3x3 - 15x3 Find the intervals of increasing, decreasing 4. If xy+cos y, Find

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Q: 1. Compute Lo F⚫dr, where and C is defined by F(x, y) = (x² + y)i + (y − x)j r(t) = (12t)i + (1 − 4t…

A: Step 1:Determine the numerical value of the given integral.∫C​F⋅drwhere,F(x,y)=(x2+y)i^+(y−x)j^​and…

Q: The OU process studied in the previous problem is a common model for interest rates. Another common…

A: Step-by-Step Manual Calculations: (a) Simulating the CIR Process using the Euler SchemeGiven the CIR…

Q: #11

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Q: 3 4/3 3213 + 8 for 1 ≤x≤8. Find the length of the curve y=x

A: To find the length of the curve  y=43​x4/3−83​x2/3+8 for 1≤x≤8, we need to compute the arc length…

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A: Step 1: The given vector field is, F=−ϵ Let′s verify the relation ∇⋅F(0,0,0) = limϵ→0+​ volume…

Q: IV. Consider the function f(x) = esin 2x 1. Find the second-degree Maclaurin polynomial of f(x). 2.…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: (a) Sketch the graph of a function that is not continuous at 1, but is defined at 1. (b) Sketch the…

A: Step 1: Identify which of the following graphs shows a function that is not continuous at 1, but is…

Q: 3. Differentiate the following functions. Show your work where applicable. a) y = e³x b) f(x)=2…

A: Step 1:Step 2:Step 3:Step 4:

Q: Question Given the following piecewise function, evaluate lim f(x). f(x) = x+1- -2x² - 2x 3x-2 2 x²…

A: Step 1: Step 2: Step 3:The answer is 1.

Q: k. 1. |_ 1/2 S 0 cos(x-2) x3 √1+ e¯x ex dx dx

A: First, we simplify the integrand. The term S is a constant and can be taken out of the integral. The…

Q: Pls help me with the accurate answer and solution asap pls

A: Step 1:Step 2:Step 3:Step 4:

Q: Show that the Laplace equation in Cartesian coordinates: J²u J²u + = 0 მx2 Jy2 can be reduced to the…

A: Approach to solving the question: Detailed explanation:Examples: Key references:

Q: 6. (i) Sketch the trace of the following curve on R², (t) = (sin(t), 3 sin(t)), tЄ [0, π]. [3 Marks]…

A: Step 1: Step 2: Step 3: Step 4:

Q: Calculus1 - area between r=2+sin(2theta) and r=2+cos(2theta) Hi! I'd be so so thankful if you can…

A: Please find the Images below for explanations;