The antiderivative of a given function is unique. true or false

Q: 11. A horse breeder plans to construct a corral next to a horse barn that is 50 feet long, using all...

A: Given :- A horse breeder plans to construct a corral next to a horse barn that is 50 feet long, usin...

Q: The function V(x) = x(10 - x)(16 - x), 0 <x< 10, models the volume of a box. (a) Find the extreme va...

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Q: A ceramic mug is removed from a pottery kiln once the mug reaches a temperature of 700 degrees Celsi...

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Q: Solve  (x+1)(dy/dx) +y = ln(x) y(1)=0

A: We will solve the differential equation. 

Q: How do I wvaluate f(x) = −2x2 + 4x for f(a+h)?

A: Topic = Functions

Q: Evaluate / y ds, C: x = t, y = t, - 2 <t < 1

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: y (-1, 1) sin(e) cos(e) ante

A: The coordinate (-1,1) is in second quadrant in the below figure. The perpendicular is 1 unit, base ...

Q: 1. Evaluate the limits lim f(x), lim f(r), lim f(r), lim f(x) and lim f(x) where the graph of y = f(...

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Q: Suppose f (x, y) = 1æ² + 2ry– 3y, P = (1,-3), and u = (, 8). %3D 20 20 A. Compute the gradient of f....

A: function f(x,y)=x2+2xy-3y2

Q: Hello, I don't understand the equation may someone help me out, may you also write the work and answ...

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Q: Find the indicated nth derivative of the following: 1 7. 2nd derivative of y = xArcsinx + v1 – x² an...

A: Find derivative using product rule and composition of functions rule

Q: Find the MacLaurin series of f(x) = sinh(3x) . Express your answer in the form Σan (x - c)^n. The pr...

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Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 8. There is a jump discontinuity at x = ...

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Q: Find the derivative. 1 f(x) =

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Q: 3 2- 1 1 2 3 4 -1- -2- Graph of f graph of the function f is shown abo LO

A: We have to choose the correct answer from the given options according to the given information

Q: xy' = y elwy) – x

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Q: A singular value decomposition of A is as follows: [5 0] 0 5 0 0 -0.5 -0.5 Lo 0 [0.5 0.5 -0.5 -0.5 0...

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Q: c – c² f(c) 1+ c2

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Q: Given the function C - X frx) esinx ind the value of the constant So that Punction RC is Confinueus

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Q: Find the equation of the line tangent to the graph of y = 2x - 8x2 + 2x -6 at x = 2. | %3D

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Q: Use the integral test to determine whether each of the following series converges or diverges. For e...

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Q: Tr(x)dx = xf="(x) x(f=\Y{x)dx.

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Q: e implicit differentiation to find an equation of the tangent line to the devil's curve,defined by y...

A: Follow the procedure given below.

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region...

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Q: -e4 lim x→2 x2-2x

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Q: Find the total area of the shaded region. 1.5- (9.1) 0.5- 4.5 9. 13.5

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Q: dx Assume that x = x(t) and y = y(t). Find using the following information. dt dy x2 + y? = 2.92; - ...

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Q: 18. Sketch a graph of a function that satisfies the following conditions • The domain of f(x) is [–5...

A: We draw the graph step by step . For the graph we use different colours which represents the various...

Q: Find the derivative of the function y = 8t' – 8/t + y (t) =

A: Given that, The function is following, y = 8t7 - 8t + 5t We have to find the drivative of the given ...

Q: r(t) 3 A pump allows water to flow into a tank at the rate of r (t) = 3t liters per minute, where t ...

A: Rate of change, r(t) = d[c(t)]/dt  Where, c(t) is the amount of water at time t.

Q: Aradioactive chemical has a decay rate of approximately 5% per year Suppose that thès chemical is re...

A: The amount of radio active substance remains after t years is given by             A = pk1-e-kt     ...

Q: Use the Integral Test to determine whether the infinite series is convergent. n2 (n³ + 4) 3 n=11 To ...

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Q: Find the intervals where the function y=f(x)y=f(x), whose graph is given below, is increasing and wh...

A: from the given graph

Q: y = 2(1.5)" 6.75 The value of a is . Give answer as a number, not an ordered pair.

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Q: A company produces computers. The demand equation for this computer is given by p(g)= -5q + 6500. If...

A: Given problem:- A company produces computers. The demand equation for this computer is given by p(q)...

Q: 1. A Ferris wheel with diameter 110 metres rotates at a constant speed. The lowest point on the whee...

A: Q1

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2 kilome...

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Q: Used A population is modeled by the differential equation dP = 1. P dt 4200 (a) For what values of P...

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Q: Calculate the integral. (Express numbers in exact form. Use symbolic notation and fractions where ne...

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Q: Calculate the integral. (Use symbolic notation and fractions where needed.) - sinh(9x) dx

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Q: 3rd-Quarter... 4. Focus (3, 0) 5. Focus (-5, 0) 6. Focus (0, 10) 7|Page 1- Given the falowing condit...

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Q: 1 + X = 8 1sys 2 4y2'

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Q: Find x dy + y dx, where C is the arc of the curve y = e² for 0 < x < 1

A: As per guidelines i can solve only first question 

Q: 2 4 6 f (x)| -22 -6 2 f' (x) 10 6 2 -2 Selected values of the twice-differentiable function f and it...

A: To determine:

Q: Ques Let R be the region bounded by the curves y = 4x-8, a = 0, y = 0, and y = 5. Let S be the solid...

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Q: 35x − 6 = 81 Solving for x. Exponential Functions

A: Given: - The exponential function is, 35x-6=81 To solve: - The solution of the given exponential fun...

Q: 1 In x dx x2 0.

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Q: - particle's position for t > 0 is given by s (t) = 2t³ + 2t² – 5t +2. What s the acceleration at t ...

A: Given query is to find the acceleration ate t= 1.

Q: 1 f(x) = V 30

A: Given: - The function is, f(x)=1x30 To find: - The de4rivative of the function.

Q: Estimate the area of the region between the function and the x-axis on the given interval using n = ...

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