Consider the function f(x) = 5-7x², -3 ≤ x ≤ 2. The absolute maximum value is and this occurs at x = The absolute minimum value is and this occurs at x =

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [ cos¹…

A: This question is related to indefinite integration, we will solve it using given information.

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A: I have calculated the limits

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Q: Solve the problem. 28) A kitchen remodeling company determines that the marginal cost, in dollars…

A: In this question we have to find the cost of installing an extra 9 feet of countertop.

Q: A) (:: :) Verify that y = c₁cos(3x) + c₂sin(3x) is a solution of y' +9y = 0

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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Q: C'(x) = C'(8) = 1 √√2x + 48

A: It is given that, C(x)=7+2x+48     ,    0≤x≤50 We have to find the value of C'(8).

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A: Please see the below picture for detailed solution.

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Q: Find the derivative. F'(x) if F(x)= (ex² -3) ² F'(x)=

A: ddxex7-32

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A: Given, S(t)=60t2t2+150

Q: Which one is the set of all critical points of the function f(x, y) = x²y + x² - 9y + 2? Select one:…

A: We can find the answer as below.

Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact…

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Q: I. Perform the indicated multiplication on the differential operator D. (D+2x)(D-3x)

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A: topic- application of derivatives

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Q: 27. A function on [0,2] defined by f(x) = -x² |5x – 4 4x³ 3x (3x + 4 - if x ≤ 0 if 0 < x≤ 1 1<x<2 if…

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Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. (9-x2 3 s S - 3…

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Q: x- /= ² + √²-11 de dx dx x-1 x² + x + 1 3

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Q: Evaluate. 34) f' x(x2 + 1)4, 0 dx

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Q: The value of the integral Select one: a. 3 b. None of these d. / [1² 17/12 2y³ dx dy is

A: Evaluating the definite integral

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A: We have to find percentage rate of change

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | sin (2) x²…

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Q: : Find the orthogonal trajectories of the family of curves y4 = kx³. (A) ³ + 3x² = C (B) 2y³ + 2x² =…

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Q: y=x²+2x when x=2 and Ax=0.05

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Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2-2 at the point (3,1).…

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Q: Without using a calculator, for the following, determine the definite integral that represents the…

A: Here, the given curve is r=3-4cos θ. The graph of the curve is: To find the area of the shaded(red)…

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A: Consider the ellipse  Consider the graph

Q: Let →r(t)=⟨2t−3,5e^−2t,−2e^2t⟩ Find the line (L) tangent to →r(t)r→(t) t=-3.

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Q: Find the limit. lim (3x-4)

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Q: h(x) = -√√x+5 domain range

A: We will calculate the domain and range.

Q: Choose the value of the iterated double integral 1=₁6ydxdy. 0 0-2 O -1 0 1 I 02 O None of the others

A: This question is based on double integration.

Q: Evaluate and show all necessary solutions. 1.S cosxsin²x V1+sinx √25-4x² 2. S 3. S 4. fxcosxsinxdx…

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Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

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Q: 2. Which definite integral approximation formula is f(x) dx = Left rectangles Right rectangles…

A: The given formula is;  Integration of f(x) , limit from a to b = (b-a) /n [y0+y1+y2+y3+...+yn-1].

Q: Find the limits. f(x) = x + 4 g(x) = x² (a) (b) (c) lim_ f(x) = X-15 lim g(x) = lim_g(f(x)) =

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Q: Consider the following. 7|x - 21 x-2 Find the x-value (if any) at which f is not continuous. Is the…

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Q: Consider the following. X+6 x²-x-42 Find the x-value (if any) at which is not continuous. Is the…

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Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2 -2 at the point (3,1).…

A: The used formulas are

Q: 3. Evaluate the following: (a) [eve da

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

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Q: The area of the region {(x,y) ER² | -2≤x≤9, -3≤ y ≤ 4} is not equal to the double integral dxdy.…

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