1. Consider the graph of y = f(z) below. State the value of each of the following. You do not need to show any work. 642

Q: Given the function g(x) = 8x³ + 12² – 48x, find the first derivative, g' (x). g'(x) = Notice that…

A: We can solve this as follows:

Q: could you provide an example please?

A: Let us take:  u→=0, 0, 0v→=1, 2, 3w→=4, 5, 6

Q: A region is enclosed by the equations below. y = cos(3z), y = 0, x = 0 6 Find the volume of the…

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Q: (-2æ)" En=1 (5n)! Find the series' radius and interval of convergence

A: The given power series,∑n=1∞-2xn5n!

Q: A graph of y = y = f'(x) over the interval [ - 4, 4]. f(x) is shown. In the same coordinate system,…

A:

Q: 1. A loan charges in BDO Bank 12.5% simple interest for 4 year, 80,000 Pesos? A. Compute for the…

A: We have to find the total interest of the loan and the total amount that must be paid.

Q: Describe the graph of the equation: r = 34 – Sj + (I + 30k. [Choose the correct answer) O The…

A: Given problem:-

Q: Evaluate the definite integral. (Assume a > 0.) 'al/5 x°Va? - x10 dx

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Q: Use a change of variables to find the indefinite integral. Check your work by differentiation. 1…

A: To integrate.

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: Recall:  L=∫abr(θ)2+r'(θ)2dθ We have, r=7sinθ+2cosθ, a=0, b=π

Q: For the cost function below, where C is the cost of producing x units of a product, find the…

A: Given query is to find marginal cost function.

Q: Use series to estimate the lim m X-1

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Q: Using the Alternating Series Remainder Theorem, determine the number of terms N required to appre…

A: The given alternating series is: ∑n=1∞(-1)n+1n! Let, an=1n!

Q: 1.) Evaluate: (x* + 3x³ + 1)dx 2.) Evaluate: (1++) dx 3.) Evaluate: () dt

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Q: 16. How many terms are needed to approximate 2(-1)"+1 (÷) with an error of less than 0.001?

A: The given alternating series is: ∑n=1∞(-1)n1n4 Let, an=1n4

Q: QUESTION 94. dz -22 TRIGONOMETRIC SUBTITUTION a? – u? sub. to u = a sin 0 a² + u? sub. to u = a tan…

A: Solve the following

Q: Solve inital Value Problem

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Q: 2. cos x dx - 67

A:

Q: . limx→1−   F(x)= 2. limx→1+   F(x)= 3. limx→1     F(x)= 4.F(1)=

A: we have to find limit.

Q: PreCalculus E Quiz: Ch. 11 Review Quiz Find the common ratio. 2, 0.2, 0.02,... The common ratio is…

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Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

A: Explained below

Q: Question 8 Evaluate the integral below by interpreting it in terms of areas. In other words, draw a…

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Q: Given that (x + 2) is a factor of the polynomial 2a – 5x2 + ax + a, the - value of the constant a is

A: If (x+2)  is factor of the polynomial 2x3-5x2+ax+a then remainder will be zero when we divide (x+2)…

Q: The linear approximation at z = 0 to sin(8x) is A + Bx where A is: %3D and where Bis:

A: Given : The linear approximation at x=0 to sin(8x) is Ax + B   To Find : Value of A and B

Q: a) Determine the position function, s(t), of an object if the acceleration is a(t) = 3t , v(2) = 0,…

A:

Q: Find the demand function p, given the marginal-revenue function dr/dq below. dr = 269 – 9q - 1.29 dq…

A: Here, the given marginal revenue function is: drdq=269-9q-1.2q2...(1) where r is the revenue…

Q: Find the indefinite integral. Hint: Let u = 5 - Vx. (Remember the constant of integration. Remember…

A: Explanation of the answer is as follows

Q: For the given functions, find (fo g)(x) and (go f)(x) and the domain of each. 1(x) = 9(x) = 1-8x

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Q: Evaluate the following integral. 2x +5 dx - 2 Le 2x+5 dx = (Type an exact answer.) - 2

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Q: Given the following functions: f(x) = cos(x) g(x) = x" + 1 Find f(g(x)) and (f(x)). (Use symbolic…

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Q: Evaluate the following definite integral using the Fundamental Theorem of Calculus. 216 125 216…

A: To find the given definite integral using fundamental theorem of calculus.

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: Let's find.

Q: x+1 2)y = ln Vx-2

A:

Q: Find the function F that satisfies the following differential equations and initial conditions.…

A: To find the function satisfying the given conditions.

Q: 1)2xsin-13x

A: Given     write

Q: 4.) Evaluate: xe* dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 7. Find the derivative of In y + exy? ey sin 2x. %3D -

A: Here, the given implicit function is: ln y+exy2-ey=sin 2x...(1)

Q: 6. Evaluate the iterated integral by first reversing the order of integration. Do not use technology…

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Q: x3 Evaluate f using substitution (3-2x)5

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Q: 18. Find a geometric power series for f (x) 3 centered about x = 2. Write the first four terms. 7-2x

A: Let's find.

Q: d²u A particular solution of the differential equation du - 2u=3e2t – 18e-tis dt? dt Select the…

A: Particular solution

Q: For the given cost function C(x) 22500 + 600x + x², First, find the average cost function. Use it to…

A: For the given cost function Cx=22500+600x+x2, First, to find the average cost function. Then by…

Q: A cable that weighs 4 Ib/ft is used to lift 600 Ib of coal up a mine shaft 650 ft deep. Find the…

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Q: Find all critical points of f(x) = 1 + 8x – x² and use the First Derivative Test to determine…

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Q: Determine whether n+1 converges or diverges. Give reasons for your answer.

A: Given: Here, an=n+1n2n. Notice that an=n+1n2n≈1n32. Now,                  limn→∞n+1n2n1n32=limn→∞…

Q: If y = a + b/x , then the linear form of the following equation is In y = a + b y = a + b x y = a +…

A: Given query is to find the linear firm of the equation.

Q: can you explain the whole process, step-by-step? like in an essay type. how did they find the first…

A: Here the question is to find the first and second derivative of the function f(x) = 12cos2x. To find…

Q: 3. Use the Intermediate Value Theorem to show that the following equation has a solution. sec(x) =…

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Q: 8. Given, h(x) =2 – x and g(x) = -x² + 4 a) Plot the two functions on the same graph for -2 < x <4…

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Q: Calculate Ls for on the interval

A: