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Q: onsider the curve of intersection denoted as C, formed by the cylinder x^2 + y^2 = 4 and the ane x +…

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Q: -3 -2 -1 y (-2.0) and (2.4) 2- 1- O 1 2 3 t X Graph of f' The graph of f', the derivative of the…

A: Consider

Q: Consider the region in the first quadrant under the graph of y = sin(x), 0≤x≤T/2. In each case…

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Q: x-9 lim x-9 √x-3 A. 00⁰ C. 6 B. O D. no limit

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Q: For the following function f, find the antiderivative F that satisfies the given condition. f(x) =…

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 25 + x² 5…

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Q: Find the interval of convergence for the given power series.∞∑n=1n4(x+3)n(10n)(n143)The series is…

A: The objective of this question is to find the interval of convergence for the given power series.…

Q: 1. Which of the following is not the sense of why there is a need for arbitrary constant? (a) to…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Solve the initial value problem y(t) = Submit Question dy Y dt t+1 = + 4t² + 4t, y(1) = 8

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

Q: If y = 8 sin 2x cos 2x, then A 128 sin 2x cos 2x C. 64 sin 4x B. 128 sin 6x D. 8 sin 2x cos 4x

A: If , then to find .

Q: mathematical symbols, and the guests were math enthusiasts. As part of the entertainment, the party…

A: tant=5/7

Q: Write an equation for a sphere centered at the point (6,-7,-2) with radius 4.

A: General equation of sphere -(x-h)2 + (y-k)2 + (z-l)2 = R2where,(h,k,l)= centre R = radius

Q: Sketch the graph of the following functions. State the domain and range. y = 2√√x+3

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Q: Consider the following. y = 8x³/2 + 6 -1 y 100 80 60 40 20 1 2 3 4 5 6 X Find the arc length of the…

A: Consider the following.To find the arc length of the graph of the function over the indicated…

Q: Given: (x is number of items) Demand function: d(x) = 100-0.5x Supply function: s(x) = 0.3x Find the…

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Q: What is lim h→0 A. 3x² (x + h)³ = x³ ? h B. 6xh C. h² D. O

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Q: Given the position function s = 12 +9t-5, what is the instantaneous rate of change at t = 3? A. 2t…

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Q: dy Use implicit differentiation to determine given the equation xy + eª = y³. dx

A: xy+ex=y5ddx(xy+ex)=ddx(y5)Using the power Rule

Q: -2 -9 (8 +7t²) dt

A: I=∫−9−2(8+7t2)dt

Q: Identify the definite integral that computes the volume of the solid generated by revolving the…

A: Region is bounded by y=x3 and the line y=x, between x=0 and x=1Rotating the region about y-axis

Q: -1/ 2 y = sin ¹(x² - 1)

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Q: The functions f and g have the values shown in the table and are differentiable. If A = f g, then…

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Q: Let A(z) = f(t)dt, with f(x) shown in the graph below. 4 3 2 1 m 4 At what x values does A(x) have a…

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Q: 1 1 A = +---- -28 and B= 4 55 55 -15 215 Are A and B inverses? O Yes, A and B are inverses. O No, A…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = 2√√x+1,…

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Q: c) y = sin 53x e) — (In|sin x) d) Find s" (t) for the function. s(t) = 3t² + 5e f) y = sin-¹(x² - 1)

A: To differentiate the following and to simplify.(c) To find .(d) To find  for the function.(e) To…

Q: Find for y=x²³√x+1. dx A. 3x² 2√x+1 C. 3√x+1 B. D. (7x+6) 2√x+1 2√x+1 √26 +1

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Q: 4 2, 2x -10x + 12 X-2

A: Divide the following:

Q: ſ sin(2x) cos(3x) dx - do NOT use the "product to sum" identity for this, even though it is easier.

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Q: Write the following sentence regarding a limit symbolically. 5 (x − 1)² The limit of the function…

A: when x tends to 1 then the function tends to positive infinity.

Q: Find the total mass of two turns of a spring with density p in the shape of the circular helix…

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Q: Write an equation for a sphere centered at the point (8,4,-3) with radius 7.

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Q: Find each derivative. Do not type any spaces. dr [10x²] [7] = d-8a] = [-5x² +14x - 9

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Q: At what value c does the function f(x) = 2x - 2 take on the average value f(c) over the interval [0,…

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Q: The dye dilution method is used to measure cardiac output with 7 mg of dye, using the following…

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Q: 2. Consider the curve C generated from the intersection of the Plane x+y+22=2 2 and the Paraboloid…

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Q: The function f is shown. Which of the following are true for f on the open interval (a, c)? I. a #…

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Q: True or false, and explain why showing all steps. The function f (x, y) = x2 + y2  has a global…

A: f(x,y)=x2+y2Using the power Ruleddxxn=nxn−1

Q: If f (x) = 3x²-2 4x+1 then f'(-1) =

A: Given

Q: Obtain the limited area between the following curves 5x² + 6y² = 84; 4x² - y² = 12

A: The curves are given as,obtain the limited area.

Q: Question 4.2. In each case let R be the region under f over the given interval and let S be the…

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Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 6. Find values for F(1) and F(7) 2 3 2…

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Q: Consider the following limit. lim n→∞ an 'n + 1 = 0 What can you conclude about the convergence or…

A: Ratio test states that for a given series ∑n=1∞ an  , let L = limx→a |an+1an| If L<1, then the…

Q: 27. Use spherical coordinates to find the volume of the solid cardioid of revolution D = {(p, 0,0):…

A: Solid is bounded by D={(ρ,ϕ,θ):0≤ρ≤(1−cos⁡ϕ)/2,0≤ϕ≤π,0≤θ≤2π}Using spherical…

Q: A B D 1 2 9 100 1 100 6- 1 10 5 4+ 3 2 1 이 1 2 3 4 Graph of f 5 The graphs of the functions f and g…

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Q: A company has marginal revenue function MR= -0.4x +35. a) Find the total revenue function. R(x) = b)…

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Q: So Find the EXACT answer, then round it to THREE decimals. Evaluate the improper integral: 1 4+x² dx

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Q: Find the length of the curve Arc length = F(t) = (et cos (), et sin (), ef ) for 0 ≤ t ≤ 3.

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Q: Question 4.2. In each case let R be the region under f over the given interval and let S be the…

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Q: Assume you know that z = 4e In y x = ln(u cos v) y = u sin v Find əz/au At (u, v) = (2, π/4) And…

A: Assume you know that, To Find .