Find f(g(x)] and g[f(x)] for the given functions. f(x)=10x-8, g(x)=3-4x f(g(x)] = (Simplify your answer.)

Q: use LaPlace transforms find solutions for dx/dt+3x=e^-2t, given that t=0 and x=5.

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Q: 8

A: using washer method Volume=43π​  cubic unit Explanation:Step 1:Step 2: Step 3: Step 4:

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A:

Q: (3) Find all critical points of f(x,y) = -x³+3x+13-31² and classify each as yielding local max.,…

A: Critical points: (-1,0),(-1,2),(1,0),(1,2)Saddle points: (-1,0),(1,2)Relative maximum:(1,0)Relative…

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: 1. Write the polar equation foreach conic. Explain your choices. Ellipse Hyperbola Parabola

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

Q: Use the chain rule to find the derivative of f(x)=5(2x9 - 4x4) 13 You do not need to expand out your…

A: (Note: Please see the explanation portion below to see the answer and detailed solution.…

Q: Determine whether the sequence converges or diverges, if it converges, find the limit.  an= e-1/√n

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Q: Consider the function f(x)=5-3x^2,  -4≤ x ≤2. What is the  absolute maximum value? Where does this…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: Assignment 1: Problem 6 Notice that the curve given by the parametric equations

A: Answera) 27.666666 or 27.667 round to 3 decimalb) t=0c) area= 1666.66666 or 1666.667 round to 3…

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A: To minimize the amount of paper used for a page with a fixed print area, we need to find the…

Q: 4 4 Use the fact that the derivative of the function f(x) == x is f'(x)= to find the equation of the…

A: The equation of the tangent line to the graph of f(x) at the point x=-9 is y=81−4​x−98​Explanation:

Q: Which of the following curves, given by the parametric equations, pass through the point by the…

A: To determine the curves given by the following parametric equations,that pass through the point by…

Q: Precalc Question 2

A: The ratio of the leading terms is 2xIt indicates that the graph of the function will have a slant…

Q: Please be thorough and walk through each part. This wi help so much. Thank you!@

A: (a) dθd​x=0.035898 (b) D=3sin(2θ) (c) dθd​D=3Explanation:

Q: dy e-1 Let y f(x) be the particular solution to the differential equation condition f(1) = 0. What…

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Q: Find all equilibria and determine their local stability properties. (Order equilibria from smallest…

A: Equilibrium 1: Locally unstable.Equilibrium 2: Locally stable.Equilibrium 3: Inconclusive (further…

Q: Use determinants to find the area of the triangle with vertices (0,0), (3, 5) and (2, -1) in R².

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

A: To find:- where

Q: Find the slope of the tangent line to the polar curve r=4-5cos(theta) at theta = pi/3

A: If you have any questions let me know in comment box thankyou for your question.

Q: Find the area enclosed by the curve whose equation is given below: T1 0.3 sin 0

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Q: 0 = || Convert the Cartesian coordinate (2,6) to polar coordinates, 0 0

A: The objective of this question is to convert the given Cartesian coordinates (2,6) into polar…

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Q: se the given transformation to evaluate the integral. [[ 3 cos(5 (y-x)) dA where R is the…

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Q: Please see atrached. Thank you, and please circle your answer.

A: The objective of this question is to find the derivative of the function x^n, where n is a constant.

Q: 3. √9-x2 dx (hint: sin x = S dx (hint: sinx = (sin²x)(sin²x)) x4

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Q: solve it y''+3y'+2y=cos(e

A: The given differential equation is

Q: Find the first four nonzero terms of the Taylor series for the function 7 f(x) = about 4. X

A: Explanation is given below:Explanation:

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: 2. Area of a circle: Consider the polar equation r = 2Rsine. Sketch the graph and note the limits…

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Q: Find the value of the constants a and b for which the function f(x)= x<N (sin x, ax+b, x≥л is…

A: If the function is differentiable at

Q: Find the first four nonzero terms of the Taylor series for the function f(x) = (6+x)² about x = 0.

A: Hence,f(x)=623​+236​​x+46​3​2!x2​−83​(6)2−3​3!x3​Explanation:Step 1: To find the first four nonzero…

Q: Assume a local community has an initial population of 40,293 and is growing at the rate of 2.4% per…

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: Given sin(x) = =- -2√17 O 81 -16/17 о 81 -8√5 O 9 16/17 0 81 2/17 81 89 with 180° <x<270°. Find…

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Q: A ball is thrown into the air and its position is given by ℎ(t)=-6.7t^2+70t+11 where ℎ is the height…

A: Maximum height =6712987​ meters Time =67350​Explanation:Approach to solving the question: Detailed…

Q: Model the curve with a sine function. (Note that the graph may or may not be drawn with the same…

A: Answer:In this problem curve of sinusoidal function is given to us and we have to find out the value…

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: Use the product rule to find the derivative. y = (3x2 + 4)(3x-4) II dx

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Q: This is the curve sketching unit in calculus so show proper work and get correct answer

A: If you have any problem let me know here in comment box for this thankyou.

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: 20. Given that f(0) = 12 and following graph, write the formula for a polynomial func- tion of least…

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Q: == 6. Set up the integral that finds the area enclosed by the curves r = 0.5y2-3 and x = y + 1, then…

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Q: Water is leaking out of an inverted conical tank at a rate of 8900 cubic centimeters per min at the…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the volume of the solid between the following surfaces. Show all the steps

A: using cylindrical shell method volume=27π​  cubic unit Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Suppose a person wants to travel D miles at a constant speed of (60+x) mi/hr, where x could be…

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Q: 1.

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

Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

A: Given that : A trough is 12 feet long, and its ends are in the form of inverted isosceles triangles…

Q: You plan to take out a 30-year fixed rate mortgage for $250,000. Let P(r) be your monthly payment if…

A: D. If the interest rate on the mortgage is 7%, the monthly payment will be $1663.26. The equation…

Q: Use the product rule to find the derivative of the given function. Hint: Write the quantity as a…

A: To find the derivative of the function y = (7x^3 + 3x^2)^2 using the product rule, we first write…