Question What is the first derivative of h(x) = = 4(x³) ? Provide your answer below: h'(x)= =

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: f(x)=5x-2, a=1

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: To sketch the region enclosed by the given curves. To decide whetherto integrate with respect to .…

Q: Find the unit tangent vector T and the principal unit normal vector N for the following…

A: The unit tangent vector:The principal unit normal vector:

Q: Find the interval and radius of convergence of the following power series. 1. Σx-1 (−1)” 2″ x” n=1…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: b. y sin x at x = ЗП 4

A: To write the equation of the tangent line.

Q: 22. A light shines from the top of a pole 15 m high. A ball is dropped from the same height from a…

A:

Q: Evaluate the integral ſ Otan ¹() + C O sin ¹() + C O sin ¹()+C None of these 1 (25-x² dx

A:

Q: Find two nonzero positive numbers whose product is 169 and whose sum is a minimum. The numbers are

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

Q: 13. y = 5 x², y=3-x. —

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Q: Find the length of the curve y=x^2 from x=0 to x=2

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Q: A store finds that its sales revenue changes at a rate given by S'(t) = -30t2 + 400t dollars per day…

A:

Q: 12) Consider the following. (If an answer does not exist, enter DNE.) f(x)=2x³-9x² - 24x a) Find the…

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Q: are GmcHSIONS: 24. The figure shows a rectangle inscribed in an isosceles right triangle whose…

A: Point P (x,1-x)

Q: The quantity demanded x (in units of a hundred) of the Mikado miniature cameras per week is related…

A:

Q: Determine h'(x) if h(x) = (4*)⁹. Provide your answer below: h'(x) =

A:

Q: Let R be the region in the first quadrant bounded by the lines y = hyperbolas xy = 1, xy = 2. (a)…

A: Given that let R be the region in the first quadrant bounded by the lines  and  and the hyperbolas

Q: The graph of fis shown on the coordinate plane. Selected values for g are shown in the table. Graph…

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Q: ketch the graphs of the functions f and g. 1 f(x) = g(x) = 2x − 1 O O -10 10 6 4 2 L2 -1086-2 -6 -8…

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Q: 7. Determine critical points for each of the following functions. b. f(x) = x(4- x)³

A: To determine the critical points of the following function.

Q: The 4th degree Taylor polynomial for sin(x) centered at a = is given by the following. sin(x) = 1 +…

A: Rewrite asx=39

Q: Given the three functions below, which expression equals (m o ho d) (x)? d(x) = x² + 6 Answer h(x) =…

A: Given: To Find: To determine .

Q: Suppose k(x) = f(g(h(x))). Given the table of values below, determine k'(-2). f(x) g(x) h(x) f'(x)…

A: xf(x)g(x)h(x)f′(x)g′(x)h′(x)−2−4−1046−7062−11−3820−5−8237

Q: Question Consider the graph of f (x) below. Which of the following is the closest approximation of…

A: The slope of a line passing through the points   .The closest approximation of the slope of the…

Q: 2. Consider the curve y = sinx - on the inteval 0 ≤ x ≤ π/2. (a) Sketch the curve and shade in the…

A: (2)The curve is given as, on

Q: Let f be the function defined as f(x) = { 1 3x-4 for x <3 for x ≥3 Which of the following statements…

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Q: Question Suppose K(x) = f(g(h(x))). Given the table of values below, determine k'(0). x f(x) g(x)…

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Q: Write the following logarithmic equation in its equivalent exponential form. y = ln(7) The equation…

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Q: Please calculate whether this function is also differentiable, as well as continuous. Thanks.

A: Continuity at x=a:Differentiability at x=a:

Q: Use implicit differentiation to find dy/dx. 9. (3xy + 7)² = 6y

A: NOTE: As per our guidelines, I have solved one question (Question number 9). If you want solutions…

Q: What is A’(x) for this picture?

A: We need to find A'(x).

Q: Calculate af ax af Əy = af af af af ax' ay ax (1,-1) ду f(x, y) = e0.9xy = ax (1,-1) af ay (1,-1)…

A: f(x,y)=e0.9xy

Q: The volume of a swimming pool is changing with respect to time, such that the volume is given by…

A: Consider the graph

Q: (4) (5) 3x + 1 = 4y² 7x²+x+7y²- y = 0

A: The given equation are (4) (5)

Q: Use implicit differentiation to find dy/dx and then d²y/dx². Write the solutions in terms of x and y…

A: According to our bartleby expert guidelines only first three subparts are to be answered kindly…

Q: The region bounded by y=x^2−3x+2 and y=0 is rotated about the y-axis. Find the volume of the…

A: Region is bounded by y=x2−3x+2 and y=0Rotating the region about…

Q: Approximate the area under the curve y = x² from x = 3 to 5 using a right-endpoint approximation…

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

Q: 17) Find the most general antiderivatives of the following functions: a) f'(x) = b) f'(0) = sec² (0)…

A: The given functions are,(a) .(b) (c) The aim is to find the antiderivative of the given…

Q: Over which interval of a values is f'> 0? THE FREATES 10000 DE TO PREORDED 1232528287 OSTALBOTER…

A:

Q: Determine if the following function has an inverse function. Answer r(x) = (x+4)³ Or has an inverse…

A: We know that, a function y = r(x) has an inverse function if it is one-to-one i.e. if for each…

Q: Write an equation for the ellipse. Type the left side of the equation in the box below. =1 *** COB 2…

A: The standard equation of an ellipse with a major axis parallel to the x axis and center  is

Q: Find the following limit. lim tan(x) 3x X-

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Q: _g(x) = 4x3 (1 – x4)²

A: The given function .The aim is to find the series representation of the given function.

Q: Let g(x)=x²+ex and let g²¹ be the inverse function a) I 3+e b1 ㅗ 3+3e c) 3+e

A:

Q: A particle starts out from the origin. Its velocity, in miles per hour, after t hours is given by…

A: We have to use the concept of integration

Q: 5. The accompanying figure shows a portion of the graph of a twice differentiable function y = f(x).…

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Q: Sketch the described region of integration. 0sys1, sin ysxs 2 Choose the correct sketch of the…

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Q: A sample of radioactive material with decay constant 0.08 is decaying at a rate R(t) = -2e-0.08t…

A: A sample of radioactive material with a decay constant is decaying at a rate of  grams per year.The…

Q: -7. ( -5- 4 -3- IN W -2- -1. -7-6-5-4-3-2-1 1 2 3 4 5 6 7 -5- A -6- -7. HF

A: From the given graph of f(x) At x=0limx→0−f(x)= Approximate value of f(x) at left neighborhood of…

Q: If g(x)=-4) - 4x, then g '(x) is equal to which of the following? 2 X g'(x) = -x X O g'(x) = 1/2-4…

A:

Q: Find the length of the curve defined by x = et 4t, y = 8et/2 over the interval 0 ≤ t ≤ 4. O e6 +16…

A: x=et