The function f(x) = 2x³ - 45x² + 300x + 6 has one local minimum and one local maximum.

Q: Consider ry" - 4xy +6y=0. Find all values of r such that y = r satisfies the differential equation…

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Q: Two students measured the height of a building whose actual height is 26.5 meters. Laura reported…

A: Actual height=26.5 meterLaura Reported height = 27.5 meterCarlo Reported height = 26.375 meter

Q: Assume that T is a linear transformation. Find the standard matrix of T. T: R² →R² first reflects…

A: To find the standard matrix of the linear transformation T, we need to determine how the basis  of…

Q: Consider the following function. Step 2 of 2: Find two points on the line to graph the function.…

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Q: "5" 3 2 -6 2 3 The function graphed above is: Increasing on the interval(s) Decreasing on the…

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Q: Determine for which values of m the function (x)=x" is a solution to the given equation. (a) 3,2d…

A: We have to find the value of m.

Q: Rewrite each of the following as a base-ten numeral. a. 3.10° +5.10³ +4 b. 5.104 +4 a. 3-106 +5.10³…

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Q: By means of induction, determine the power series representation of the function f(x) = sin-¹ (dx).

A: To determine the power series representation of the function f(x)=, we can use the Taylor series…

Q: Find the number of items in the following sets. a) {10, 20, 30,..., 110} has { c) {6, 12, 18,. 54}…

A: 1)a) (10,20,30,...,110)b) (10/11, 20/13, 30/17, ....)c) (6,12,18,....,54)Find the number of items in…

Q: The diameter of a circle measures 8 yd. What is the circumstance of the circle?

A: The diameter of a Circle measures 8 yd. What is the circumference of the Circle?

Q: Ans for part iii is not provided, habe to find h(x

A: As per our policy we are allowed to answer only first three sub parts of the question.Now,To…

Q: is it gonna be less, greater than or equal to

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Q: Convert to the unit shown. 2.43 mi/hr = m/min 2.43 mi/hr = m/min (Simplify your answer. Round to the…

A: 2.43mi/hr into m/min.

Q: The percent of female smokers 18 years and older has decreased from 1965 to 2002. Use the table to…

A: The percent of female smokers 18 years and older has decreased from 1965 to 2002. Years since…

Q: Resolve (x-4) (x² + 3) into partial fractions.

A: Solution-

Q: A bacteria culture initially contains 3000 bacteria and doubles every half hour. Find the size of…

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Q: Perform each of the following operations using the bases shown. a. 33 five - 24 five b. 21 five - 13…

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Q: Consider the function in the graph to the right. The function has a local maximum of at x = The…

A: A graph of the function is given.We have to find the relative extremum, intervals of increasing and…

Q: For the function f(x) = -4x² + 5x - 6, evaluate and fully simplify each of the following. f(x + h) =…

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Q: Given A and b to the right, write the augmented matrix for the linear system that corresponds to the…

A: NOTE: Refresh your page if you can't see any equations..The matrix A and…

Q: Solving system of linear inequalities in two unknowns Solve a) x+y= 0 X+0=5, x = 5 0+ y = 5, y = 5…

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Q: The age of a father is the sum of the ages of his two children, while a few years ago (exactly the…

A: As per as our guideline i am supposed to answer only one question please repost second question…

Q: = The doubling period of a bacterial population is 20 minutes. At time t population was 80000. What…

A: where a is the initial population of bacteria, b is the growth factor, t is the number of minutes…

Q: -6. f(x) Z g(x) T 6 x 8

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Q: Find the Eigenvectors the matrix: 12 54

A: Matrix is To get eigenvalues        The eigenvalues of the matrix A are given by

Q: Determine if the columns of the matrix form a linearly independent set. Justify your answer. 0-8 16…

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Q: 16.25 (y-5) units 5

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Q: (X-5)3/5=8

A: This is question of algebra here equation is given we have to solve for xfurther calculation is…

Q: 1. What is the domain of this graph? 2. What is the range? 3. In interval notation, give the range…

A: Graph U.S. regular all formulations retail gasoline Price

Q: -[] and C-[88] C= 3 6 Find a non-zero 2 x 2 matrix B such that AB = C. Let A B: Hint: Let B = b] and…

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Q: the average sale price of new one-family houses in the united states for a recent year was 242,000.…

A: Given that ,Average sale price Standard deviation Find the range of values in which at least of…

Q: Let -0-0-0 Span (x1, x2, 3). Use the Gram-Schmidt process to find and let U = an orthonormal basis…

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Q: Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear…

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Q: A line passes through the point (x,y,z) = (2,4,-8) and is perpendicular to the surface described by…

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Q: At the beginning of an experiment, a scientist has 352 grams of radioactive goo. After 270 minutes,…

A: Initial amount of goo= 352 gramsWhen t= 270 minutes, amount remain=44 gramsWe have to find equation…

Q: The length of a rectangle is 3 inches longer than it is wide. If the area is 108 square inches, what…

A: Let the length of the rectangle is l Let the width of the rectangle is b As we know that the area of…

Q: The table below shows the average temperature in a particular city for the months of March through…

A: Month xyMarch 364April 461May556June 651July 749August 850September 952October 1056

Q: Based on the table below, X 0 f(x) 33 Evaluate f(2): f(2)= Solve f(x) = 4: X = 1 2 25 46 3 4 90 5 47…

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Q: Which of the following are graphs of functions and which are not? Justify your answers. Complete…

A: y=f(x) to be a function it must be  defined as a relation between a set of inputs where each input…

Q: Question 1 Find the characteristic polynomial of A. Use x for the variable in your polynomial. You…

A: Given a matrix and we need to find out the characteristic polynomial.

Q: 2. A = r3 3 2 1 2 1 1 0 4 0 3 -2 L2 -3 -1 5 a.) Using Laplace Expansion b.) Using Chio's Method.

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Q: H Course: MAT 143: Algebra and Trigonometry Instruction: Answer must be handwritten & step by step…

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Q: Use the method of undetermined coefficients to find a particular solution to the given higher-order…

A: By using the method of undetermined coefficients to find a particular solution to the following…

Q: Perform the indicated operation and simplify. Write answer in a+bi form (7-12i) squared

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Q: 2- Verify that the set of vectors (-0.6, 0.8, 0), (0.8, 0.6, 0), (0, 0, 1) form an orthonormal basis…

A: As per our guidelines I am supposed to solve only one question. So kindly upload the other questions…

Q: Let T: R² →R² be a linear transformation such that T (×₁,×₂) = (x₁ + x₂, 2x₁ +6x₂). Find x such that…

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Q: Use the elimination method to find a general solution for the given linear system, where…

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Q: Suppose that you are holding your toy submarine under the water. You release it and it begins to…

A: Here we have given the graph of a function which defines the depth of the toy as a function of time.

Q: Given f(x) = 1 x + 3 Your answer will be an expression involving h. find the average rate of change…

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