Suppose f(x) = In f'(x) = ex4 (x-7) X Find f'(x). (Hint: Apply the laws of logarithms to f(x) before taking its derivative.)

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A: To find the equation of the tangent plane to the surface  at the point .

Q: Determine the convergence or divergence of the series.

A: The given series is convergent.Explanation:For any query at any step please ask.

Q: Calculus I May I please have the solution for the following equation? Thank you

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Q: Completes parts A-E below: A. Find the marginal cost function. C(x) = 160+2.7x-0.06x2…

A: According to the Bartleby guidelines we are supposed to do the first three sub parts of multiple sub…

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Q: For y = f(x) = 4x, find Ax, Ay, and Ay Ax' given x₁ = 3 and x₂ = 5.

A: The given function  and the points  and .The objective is to find the values of .

Q: How many five-letter sequences are possible that use the letters e, p, e, p, k? sequences

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Q: 22. Determine the area of AABC with vertices A(3,-2,4), B(1, 3, 2), and C(-1,2,4).

A: we are given three vertices of a triangle and we need to find its area.

Q: The position function of an object is given by 5(1) - (2² − 1 ) ( ¦ + 3). distance, s, is in metres.…

A: The position function of an object is given by , where time, t, is in seconds and distance, s, is in…

Q: 1. Consider the sequence given by a₁ = 1 and an=1+2an-1 for n ≥ 2. (a) Calculate the first six terms…

A: The objective of this question is to analyze a sequence defined by a recursive formula. We will…

Q: Solve the absolute value fucntion f(x)=|x-2|+|x+1|-4

A: Therefore , the only valid solution for the function f(x)=∣x−2∣+∣x+1∣−4isx=25​  For x<−1, no…

Q: Q/Find the Integral of the following: Inx 1- Not: log₂x In2 log,x X -dx 2- fix dx 1+e dx

A: To evaluate the following integrals.

Q: In this problem, p is in dollars and is the number of units. Suppose that the demand for a product…

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Q: Find the equation of the tangent plane to the surface z = 4y² – 16x² at the point (-4,-2,-240). Z=…

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Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) 5x sin(xy) at…

A: The objective of this question is to find the direction of maximum rate of change of the function…

Q: 3. If |ū| = 4, || = 5 and the angle between these vectors is 70°, determine a) ü xü b) u.

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Q: The length and width of a rectangle are measured as 23 cm and 52 cm, respectively, with an error in…

A: Let length of the rectangle denoted by x Let width of the rectangle denoted by y As we know the area…

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.…

A: The volume of the solid is 1516π​ [Note :  1516π​≈3.35 , if the answer needed in decimal ⁠]…

Q: Find if the series converges or diverges.

A: The answer is given below.Explanation:

Q: Find all functions whose derivative is −11sin (x). Your computer is able to provide a hint that…

A: The given derivative of thenfunction is

Q: Find the converges or diverges.

A: Here I attached the detailed explanation to the questionExplanation:Solution:

Q: Consider the space curve r(t) = (4 sin(5t), 2 cos(5t), 2√3 cos(5t)). a. Find the arc length function…

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Q: Find the limit, if it exists, or type N if it does not exist. (x + 25y)² x² +25²y² lim (x,y) →(0,0)

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Q: Assignment 6 Problem 4 (Please answer it correctly): If r(t)=cos(3t)i+sin(3t)j+8tk

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Q: Let f(x) = 3x²9x+8. (A) Find Ay and dy for the function f at x = -1. (B) Graph the functions Ay and…

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Q: Find the average value of the function f(x) = 22 sin(x) over the interval [0, π]. NOTE: Enter an…

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Q: What are the points where tangent on the graph of f(x) = 3x²+1 line Slope = 1

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Q: velocity (feet/sec) 30 20 10 10 20 30 time (seconds)

A: The given figure

Q: 21. Find a and b such that [-1, a, 6] and [b, 8,12] are collinear. 22. Determine the area of AABC…

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Q: (i) J x-1 x² - 4x +5 dx

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

Q: a. Graph the function f(0) = 6 sin(0). 8+F(0) -Jt/2 * 6 4 2 -2 -4 -6 J/2 -8+ Clear All Draw: MM I…

A: The transformation  can be obtained by stretching the graph of  vertically upward by the factor  if…

Q: Consider the function. Find g'(x). g'(x) = Find g"(x). g'(x) = g"(2) = (+)-1 (²) = g(x) = 2x4 - 4x³…

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Q: Which of the following integrals are improper integrals? answer(s). a) sin(3x) dx b) S (x-2)² c)…

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Q: Differentiate f(x) = f'(x) = 5-x+1 x³ + 27 +5.

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Q: Concentration (in mg/ml) in the bloodstream of a certain drug is related to the time t (in minutes)…

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Q: Evaluate dy and Ay for the function below at the indicated values. 8 y-f(x) = 44(1-2): dy = ; x=2,…

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Q: 3 attempts left Check my work 3 Numerically estimate the derivative of f(x)=x² √√x +4 at x = 4.…

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Q: Suppose that the total cost in dollars of producing x units of a product is given by C(x) = 5,000 +…

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Q: Find an equation for the graph sketched below -5-4-3-2 8+ 7 654 5 4- 3 2 244 1 -3 -4 -6 -7 1-8+ * ď

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Q: give the derivative of y = x^6

A: Solution-

Q: write me an equation for a graph that is defined at x=-2 has a limit at x=-2 but is not continuous…

A: The objective of the question is to find an equation of a function that is defined at x=-2, has a…

Q: Find the indicated partial derivative. 4 f(x, y) = y sin-¹(xy); f2, (², -1/-) =

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Q: Which answer represents the top graph derivative?

A: We are given the graph of the function.When the function is increasing, the derivative of the…

Q: Use the definition to find the Taylor series centered at c = 1 for the function f(x) = Select one: 6…

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Q: (1) | a 1 x3 + bºx dx

A: Given:indefinite integral To find:Evaluate the integral

Q: Find the parametric equations for the tangent line to the curve x = t² − 1, y = t³ + 1, z = t² at…

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Q: Find the indicated quantities for y = f(x) = 4x². f(4+ Ax)-f(4) (A) Simplify Ax (B) What does the…

A: To find the indicated quantities for .(A) To simplify  .(B) To evaluate part (A) as  approaches 0.

Q: Prob(0 ≤x≤ a/4) = Prob(3a/4 ≤ x ≤ a) = Prob(a/4 ≤x≤a/2) = Prob(a/2 ≤ x ≤ 3a/4) = = - {} (-1) ¹ Σπη +…

A: Please refer below pages.If you have any questions feel free to ask.Explanation:Step 1: Step 2: Step…

Q: Find the Maclaurian series for the function f(x) = e Select one: O a. O b. O C. O d. e = + 110 = e…

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Q: Find the limit, if it exists, or type 'DNE' if it does not exist. J lim (x,y)→(0,-4) ev1x²+5y²

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