dy 3-t=8 dt

Q: Name the type of basic curve that the following pair of equations represents: x = 2 cos(3t), y =…

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Q: A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether…

A: See this solution in below

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Q: Ιπ 10. State the exact value of tan- 6

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

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Q: A company that produces cell phones has a cost function of C = 3x² - 46x + 15097, where C' is the…

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Q: 1. Which of the following values would be obtained using 10 circumscribed rectangles of equal width…

A: The integral is  ∫01 x2 dx

Q: The function f(x, y) = 2x³ - 6x + 6xy² has: Select one: O One minimum One maxima and one saddle…

A: Topic:- application of derivatives Note :- as per our guideline if more than one question uploaded…

Q: The gradient vector of the function f(x, y, z) = ln(yz) + x² is: Select one: (2x, /, // ) (2x, -, -…

A: gradf =∇f =i∂∂x+j∂∂y+k∂∂zf .

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).

Q: Find g'(3) given that f(3) = -4 and f'(3) = 2. g(x) = 3x² - 5f(x) g'(3) = i eTextbook and Media 2x +…

A: Given :f3=-4f'3=2gx=3x2-5fxgx=2x+1fx

Q: 2) a) Let f(x) = 2* + 3x7. Find f'(x) and f" (x). b) Find the derivative f'(x) in the following…

A: a.)   Given f(x) = 2x + 3x-1/2 f'(x) , f''(x) are to be calculated. Formulas used here  ** y = ax…

Q: Find a vector-valued function whose graph is the indicated surface. The plane x + y + z = 2 r(u, v)…

A: Given plane    x+y+z = 2                 this gives   z = 2-x-y            Now, let  x=u    and…

Q: Engineers and scientists often use visual or mathematical representations to investigate items that…

A: Given :Engineers and Scientists often use visual or mathematical representations to investigate…

Q: The owner of the Rancho Grande has 2944 yd of fencing with which to enclose a rectangular piece of…

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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: If sin x = sin(2x) cos(2x) tan (2x) 3 7' x in quadrant I, then find (without finding x)

A: NOTE: Refresh your page if you can't see any equations. . here we have  and the angle is in the…

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

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Q: What is the antiderative of xysin((x^2)y)?

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Q: ∞ Σ η=1 7η + 3η gn

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Q: Find the percentage rate of change of f(x) at the indicated value of x. f(x) = 310 + 65x; x = 3 The…

A: We have to find percentage rate of change

Q: 2T Rewrite cos x + 3 in terms of sin(x) and cos(x)

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Q: Solve the initial-value problem 1 3.y"-3y-2y=0; x = 0, y=0, y =9,y' =0

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Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated…

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Q: Determine the value of k for which the direction vectors of the lines x+3 Z = y = -1 are…

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Q: Please

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Q: Solve the exponential equation. Express the solution in terms of natural logarithms or common…

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Q: Let f(x) = (c + 1)x+ In(cos x). For what value of c is f'(/4)=6

A: This question can be solved using the concepts of differentiation.

Q: The function f(x, y) = 2x³ - 6x + 6xy² has: Select one: O One minimum One maxima and one saddle…

A: Topic:- application of derivatives Note :- as per our guideline if more than one question uploaded…

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: please both

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Q: dx Assume that x = x(t) and y = y(t). Let y = x³ +5 and dt Find dy dt dt when x = 3. (Simplify your…

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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: Rewrite sin x - 11 6 -7 in terms of sin(x) and cos(x)

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Q: The shape of a colony of bacteria on a Petri dish is circular. Find the approximate increase in its…

A: topic- application of derivatives

Q: When proving the limit lim(2x + 8) = 14, and e > 0 is given, what is an appropriate choice for 8?…

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Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

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

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: 7η + 3η gn Σ΄ n=1

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Q: ( 3x³ - xy² 2 3xy+y dy 3 dx = 1 |

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 1…

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Q: 2²2 +2²2² = 12 25 (a) Find the vertices, foci, and eccentricity of the ellipse. (x, y) = (-5,0 (x,…

A: The equation is  x225+y29=1

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

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Q: Sketch the system. Identify the type of graph within the system. Find the intersection y = x² + 2x +…

A: Given data÷   y=x2+2x+1 and  x-y=-3   y=x2+2x+1 is a parabola and  x-y=-3 is a straight line

Q: The gradient vector of the function f(x, y, z) = ln(yz) - x² is: Select one: ○ (−2x,, 1) O None of…

A: To find the gradient vector of the functionf(x, y, z) = ln(yx)-x2

Q: Find an equation of the tangent plane to the surface represented by the vector-valued function at…

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Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q Ay 25- 20- 15- 10- 5A…

A: given,

Q: Evaluate 6252 6251 6250 6254 6253 Ads, where C is the right half of the circle x² + y² = 25.

A: To evaluate the given integral.

Q: Reversing the order of integration in the integral SS²ydydx equals: Select one: A. None of them B.…

A: Since you are asking multiple questions. We are answering only the very first question as per ous…

Q: Which one is the set of all critical points of the function f(x, y) = x²y + x² - 9y+1? 2 Select one:…

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