Use graphical addition to sketch the graph of f + g. y y f+g 2 f 2 2 f+g g 4 4 4 6 6 6 8 8 X 2 2 f+g f+g g 4 4 6 6 8 8

Q: Find the area under one arch of the cycloid. x = 3a(t - sin t), y = 5a(1- cost)

A: The solution is shown below-

Q: Consider the function f(x)=9x2+(4x−2)(3/2)−1 over the interval [1,7]. Does the extreme value theorem…

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Q: 2. Let a > 0 be a fixed real number. Determine whether dx xl+a [3 converges or diverges. If it…

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

Q: We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside…

A: a.  point on parabola with x = a

Q: Let f(x) = 8x³ + 1. Find the open intervals on which f is increasing (decreasing). Then determine…

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Q: Find the derivative of the function. y = 5 sin(2πX) y'(x) =

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Q: In 1997, researchers at Texas A&M University estimated the operating costs of c sizes. A quadratic…

A: Given: c(q)=0.021q2+26.9q+313

Q: Determine the volume of the region bounded by y=x^(2)-2x and y=x that is rotated about y=4

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Q: 4. Differentiate = ex) in (ex + xe (b) find dy by implicit differentiation 2 ху √x² + y²

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Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if x is the…

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Q: 18 > (a) Find the direction for which the directional derivative of the function f (x, y) = 7xy² +…

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Q: Use the function below to answer the following questions. f(x) = x 12ln(x + 3) on the interval 0 ≤ x…

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Q: Find the derivative of the function. y = x²√√16x² V y' = -

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Q: A warehouse selling cement has to decide how often and in what quantities to reorder. It is cheaper,…

A: The given data is: C=5aq+3bq

Q: Find the following limit. lim V

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Q: The daily cost C (in dollars) for a manufacturer to produce a electronic video components is given…

A: Solution: Given:C(x)=2000ln3x2-5003

Q: Acme finds that its monthly revenue, in dollars, from the sale of x carry-on suitcases is 0.008x³…

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Q: that the cords have been disconnected from the device. "Computer, how do I plug in these cables",…

A: f(x)=ln(3x) f'(x)=313x = 1x f'(c)=1c   it is required Red cord.

Q: The curves F1(t)= (-4t, t², - 2t5) and F2(t) = (sin(3t), sin(2t), t - *) intersect at the origin.…

A: The given curves are:r1→(t)=-4t, t2, -2t5r2→(t)=sin(3t), sin(2t), t-π

Q: 2. We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside…

A: The solution is shown below-

Q: class of fourth graders walks to a park on a field trip. The function y = f(t) graphed below gives…

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: I have done solution step by step in detail ....go through the solution

Q: xzdS where S is the part of the parabolic Compute the surface integral =ylinder z = 2² that lies…

A: We have to compute the surface integral:∫∫S xz dSwhere S is the part of the parabolic cylinder z=x2…

Q: F(x,y) = 1 - e^-(x+y). I need to find the partial derivative defined by this expression, how do I do…

A: The Power Rule: ddxxn=nxn-1 The Chain Rule: fgx'=f'gx·g'x And Use the common derivative. ddxex=ex…

Q: Find the derivative of the function at the given number. f(x) = x² - 9 at 0 f(0) =

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-2,-2)…

A: Solution is given below:

Q: •Evaluate the ff. dx 3x²+12x+15 T.

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Q: 11. What are the local minimum of g(0) = cos² 0 - sin over (0, 2). O 0-1 (at) and (at 7) 3π O-1 (at)…

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Q: Verify that the given differential equation is exact; then solve it. (21x²y³ + 4y) dx + (21x³y² + 4y…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as a…

Q: Suppose g(x) is continuous and concave up everywhere. The equation of the tangent line to g(x) at x…

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Q: 14. Solve the initial value problem du = ² + 1 with y(0) dy = 1. dt Oy(t) = Oy(t) = t³+t-1 Oy(t) =…

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Q: The price-demand equation for hamburgers at a fast food restaurant is given by the equation below.…

A: The solution is shown below-

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Solving the following problem

Q: An explosion sends two shards of metal to the east and to the north. The northward shard travels at…

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Q: The region Rin the first quadrant is enclosed by the lines x=0 and y=5 and the graph of y = x² + 1.…

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Q: 17. Find the local minimum value of A(x) = f(t²- t)dt in [1,2]

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Q: -1) Use the limit definition to find the derivative of f(x) = x² at x = 4.

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Q: I. INTEGRATING FACTORS BY FORMULA 2 1/2 x 2x/x-2

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Q: A particle moves along a coordinate axis. Its position at time t (sec) is s(t) = f f(x) dx cm, 0…

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Q: The derivative graphs for the functions f, g, h, and p over some interval are shown below. Use these…

A: The given data is: The derivative graphs for the function f, g, h, and p over some interval shown…

Q: You are given the graph of the second derivative function, f"(x) shown below. f" (x) G AN. D F H E…

A: Given The graph of f"(x)

Q: A) 77. Shown above is a slope field for which of the following differential equations? dy x-y dx y…

A: The answer is in step2.

Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

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Q: y=x² R y=9

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Q: Part 1 Differentiate f(x) Answer: Part 2 df dx f'(x) = x³ - 4x + 5 x3 If f(x)=√x sinx, find f'(x).

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

Q: If a ball is given a push so that it has an initial velocity of 7 m/s down a certain inclined plane,…

A: We have to slove above question

Q: Consider the region bounded by the graph of f(x)= 3 1 + x² and the x-axis between x = 0 and x = 1.

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Q: y=2x R y=x²

A: To write an iterated integral for ∫R∫dA over the region R described  in the figure below. (a)…

Q: For what value(s) of x does the graph of have a horizontal tangent? x = help (numbers) f(x) = 10x³…

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Q: Evaluate the given expression. Take 0-2 40-0 and C = 1 4A + 0.5C P 1 1 -1

A: We have given A=0-2-2021 and c=1-111-1-1