Let f(x)=2x²-2x and g(x) = -4x-1. Find f[g(3)]. f[g(3)] =

Q: Suppose the SECOND DERIVATIVE of a function is given by x2 (x2 _ 5 +6) 4+x² A) Find the…

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Q: Please answer the question in the attachment.

A: The objective of this question is to find the value of the function f(x) at x = 6, given the…

Q: Find the following using the table below. x 1234 f(x) 13 4 2 f'(x) 1234 g(x) 3 12 4 g'(x) 1 2 4 3…

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Q: 12

A: The volume of the solid generated is 7,776π unit3 or 24,429.02 unit3.Explanation:Step 1: Rewrite the…

Q: 3. Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

Q: f'(0) = Let f(x)=7e+2 + e¹.

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Q: Find the first four nonzero terms of the Taylor series for the given function about x = : 0. f(x) =…

A: The answers have been provided.Explanation:

Q: Determine if the sequence converges of diverges, if it converges, find the limit. an = √1+4n2 /…

A: To determine if the sequence converges or diverges, we need to find the limit as n approaches…

Q: 1. Circumference of a circle: Consider the polar equation r = 2Rsine. Sketch the graph, identify the…

A: 1. Circumference of a circle.

Q: s supposed to be the degr

A: To verify the identity.

Q: pls solve

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Q: Suppose f" (x) > 0 on some interval (a, b). Check all of the following statements that must be true.…

A: The objective of the question is to determine which of the given statements are true given that the…

Q: Calculate the average rate of change of the given function over the given interval. Where…

A: The objective of this question is to calculate the average rate of change of a function over a given…

Q: Find the critical numbers of the function f(x)=12x^5+75x^4-80x^3+2 and classify them using a graph.

A: The objective of this question is to find the critical numbers of the given function and classify…

Q: [[ cos(x² + y²)dA R:{(x,y): x²+y² ≤1, y≥0}.

A: To find:- where

Q: Precalc

A: +−31​,+−32​,+−35​,+−310​+1,−1,+2,−2,+5,−5,+10,−10Explanation:If you have any problem let me know…

Q: 3. Pulling Gasoline Up (Work on Fluids) A cylindrical tank with a length of 10 m and a radius of 5 m…

A: Step 1: Formulate the cross-sectional area of the gasoline layer The cross-sectional area of the…

Q: If f'(x) exists on both sides of a critical number c, the sign of f'(x) can be used to determine…

A: We check local maximum or minimum using first derivative test.

Q: We want to use properties of limits and algebraic methods to find x²-25 lim x--5x+5 Note that the…

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Q: 3. Verify sin(x) + cos(x) cot(x) = csc(x)

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Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 25 in² The smallest…

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Q: The unemployment rates in a certain region for the years 1994-2014 are shown in the graph. Find the…

A: We are given the graph and we need to find out the average change for the given years.

Q: I amnneeding assitance with the equation in the attached image, 4.10.

A: Step 1:Step 2:Step 3:Now to check which plot is correct let us see the function y=cos(3x) graph.As…

Q: I am needing assitance with the problem in the attached image, 3.3.

A: The derivative of f(x) is f′(x)=2x+1.Explanation:Steps and explanations are as follows:In case of…

Q: I am needing assitance with the problem in the attached image, 3.4.

A: The equation of the line that is tangent to the graph of f(x)=2x2 and parallel to the line 6x−y+4=0…

Q: 8) Suppose you are at the point (2, 1, 82) on the hill given by f(x,y) = 100-4x²-2y (where the z…

A: The objective of the question is to determine the direction and rate of change of the elevation of a…

Q: show all steps please! thank you!

A: Given position function with respect to time for particle 1s1​=4t−t2 -----(1)The position function…

Q: A curve with polar equation r = 42 6 sin(0) + 31 cos(0) y = has Cartesian equation:

A: cartesian equation is y=7−631x​Explanation:Step 1:given that r=6sinθ+31cosθ42​using cross…

Q: Write an equation of the form y=a sinbx or y=a cosbx to describe the graph below. 2+ 1+ M 4 6

A: To write an equation of the form  to describe the graph below.

Q: 1. Evaluate the following definite integrals: 2 b) 3x3 (3x4 - 2)5 dx re-(z2−1)/2 dx

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Q: Use the graph to find the following limits. a. lim f(x) X-➡-1 b. lim f(x) x-1 a. Find lim f(x) or…

A: By using the graph to find the following.

Q: For which of the following limit expressions does L'Hospital's Rule not apply lim x-1 x 1 - lim…

A: The L'Hospital's Rule applies when the limit in the form of To check the following limits…

Q: on 1. Solve the systems of linear equations that have been reduced to the following matrices:…

A:

Q: 7π Convert the point (p, 0, 0): 6. to Cartesian coordinates. Give answers either as expressions, 6 3…

A: The objective of the question is to convert a point from spherical coordinates to Cartesian…

Q: Complete the given table. (Enter the logarithm function in the form log(b).) Exponential Form 45 =…

A:

Q: 7

A: The value of m = 2 so that the given matrix C is not invertible.Explanation:

Q: Convert the Cartesian coordinate (-6,-1) to polar coordinates, 0 0 r = 0 = 0

A: r=37​Θ=3.31Explanation:If you have any questions let me know in comment box thankyou for yours…

Q: Find the derivative of the function. g(x)= 3 X-8 (4x+17)(3x-7) g'(x) = ☐

A: To find the derivative of the following function.

Q: A cylindral drill with radius 3 cm is used to bore a hole through the center of a sphere with radius…

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Q: A clothing manufacturer offers a discount on the unit price P, in euros (€), off its shirts based on…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: - 2x2. If sales are increasing at A company's revenue from selling a units of an item is given as R…

A:

Q: R 2) Evaluate the double integral ff (x² + y²) dA over the region bound by 9 ≤ x² + y² ≤ 25 by…

A: The objective of this question is to evaluate the double integral of the function (x² + y²) over a…

Q: Find the slope of the tangent line to the polar curve r = 4-5 cos(0) at 0 7T 3

A: The objective of this question is to find the slope of the tangent line to the given polar curve r =…

Q: Let a and b be positive numbers with a>b. Let a1 be their arithmetic mean and b1 their geometric…

A: Answerhamdwritten  an+2 nt1 n+2 on,we pm">

Q: The tangent line to the graph of f(x) at x = 1 is shown. On the tangent line, P is the point of…

A: The tangent line to the graph of  is shown below.(a) To find the coordinates of the the points P and…

Q: I am needing assitance with the problem in the attached image, 3.8.

A: Answers.. f'(x) =  (x3 - 6)/x3  Or  1 - (6/x3)Explanation:Step 1: Step 2: Step 3: Step 4:  Thanks…

Q: (If an answer does not exist, enter DNE.) (2,30) 20- 20 |(2,5) (9,9)

A: graph of f(x) is given

Q: 1.

A: The final answer is:x=−2,y=−9,z=1Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 4.

A: The answers are as follows: a.   A=[−23​−21​​−1−21​​]. b.…

Q: Let f(x) = ln(x² + 18x+87) f'(x) =

A: x2+18x+872x+18​Explanation: