If G(x) is an antiderivative of f(x) = 2 + sinx and G(0) = -1-2, what is G(T)? O None of these. -3 3 -1 01

Q: F(s) = 9s² 2s - 3 12s + 20

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Q: 1 1 If g'(4) = 4 and h'(4) = 18, find f'(4) for f(x) = 79(x) + 3h(x).

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Q: Consider the following system. dx dt dy dt = 6x + 5y K = = -2x + 8y Find the eigenvalues of the…

A: As per guidelines of bartleby we solve only one problem

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Q: Question 8 Consider the indefinite integral U= du = x5 (x6 + 4)6 This can be transformed into a…

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Q: Find the length of the spiral r=0², 0≤0≤ √21. The length of the spiral is (Simplify your answer.)

A: Topic = Integration

Q: 3) Solve the differential equaion (D2-4)y=e²-4

A: 3) The given differential equation D2-4y=e2x-4. We have to find the general solution of the…

Q: 4. Find the equation of the plane that is perpendicular to the curve C(t) = at t = π/4.

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Q: 1. Suppose that y is defined implicitly as a function of r by the following equation: 3y² + 2xy + x²…

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Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. rsin 0=6 The…

A: in cartesian  coordinates  x=rcosθ  and  y=rsinθgiven  rsinθ=6

Q: 3 x³e2x dx

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Q: Set up an integral which calculates the total distance traveled by the drone between t=1 and t=2?…

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Q: Let C be the curve f(x) = the length of C, as follows: (1) Calculate f'(x). In(x) 2 - 4 between 1…

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Q: rting to polar coordinates. dy

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Q: Given the ellipse below, determine the coordinates of the two foci. Enter the coordinates as ordered…

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Q: Question 19 Compute the given integral. fre -1² dx = Submit Question > Jump to Answer +C

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Q: If y = esin, then y" is equal to esin (cosa - sin x) A esindsinr O esinz (cos²x - sin x) O esin *…

A: Given that , y=esinx find y''=?

Q: 1 3 2 1 q To find the blue shaded area above, we would calculate: b [* f(x)dx = area Where: a = f(x)…

A: Please see the below picture for detailed solution.

Q: For the function f(x) = 5x - 5x, evaluate and simplify. f(x +h)-f(x) h

A: Given query is to perform indicated operation m

Q: Evaluate the indefinite integral. 4 (t + 12) 4 -dt Question Help: Video Submit Question Jump to + C

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Q: 7s +5 s² + 25 Is true or false? Select one: O True O False Give your reasons } = 7 cos (5t) + sin…

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Q: Vectors are shown in the graph. n Or O q Ou 7 n 60 5 3 2 1 T -2 P XX u S ? 1 2 3 Which of the…

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Q: on using a single vector function (including domain) of the following curves in R

A: we have to find parametrization for the given curve ;--   a linear path along  x - y =9  from (9,0)…

Q: Suppose that f'(x) = e for x < 0, and f'(x) = x + 1 for x ≥ 0. Find fƒ(1) - f(-1). Round your answer…

A: we will find the required.

Q: 2) Consider the function: f(t) = 0, e-kt, 0 ≤ t < 1 1 ≤t. A) Use the definition to find F(s) =…

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Q: 23) Find values for a, b and Y in Y dx to represent the shaded area below. y = f(x)

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Q: Graph the circle given below by moving the key points: To graph the circle, drag the center point to…

A: Solve the following

Q: Given the absolute function graphed below, find the following: a) Domain: -12 Decreasing: 6 5 4 7 2…

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Q: For what values of h are the given vectors linearly dependent? 5 -20 -3 12 5 4 6 52 3 h Vectors are…

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Q: Determine a value for s so that f(x) = sx2− 6x + 2 has a minimum at x=1   s____

A: Given query is to find the value of a.

Q: Find 3 - 2 749 (2x² + 4x5) dx

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Q: ) Inverse Laplace transform of 2S-5 2 + is s²+16 S3 f(t) = 2cos(4t)-5sin(4t)+t² F(s) =

A: NOTE: Refresh your page if you can't see any equations. . take inverse Laplace

Q: 14) y = Tan¹ (3); dy =?

A: 14) y = tan-1( x2 ) dydx = ?

Q: 15

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) (2,4)

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Q: Expand the following logarithmic expression and simplify: 06 + log (y) - log (x) + log (3) O+log (y)…

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Q: You are given a feasible region. Find the maximum and minimum (if they exist) for the given…

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Q: What is the inverse of the function f(x) = (x-6)2 where x ≥ 6, if it exists?

A: Given: f(x)=x-62

Q: Question 2 ( value problem y" +9y = 5 sin 2t, y(0) = 0, y' (0) = 2. , Consider the initial- (a) Use…

A: To find the solution.

Q: Center: Radius:

A: Given query is to find centre and the radius of the circle.

Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function y = k.xpy = 1πx

Q: = Find the area of the region that is completely bounded by the two curves f(x) = g(x) = x² − 7x +…

A: Given query is to find the area of the region.

Q: Find the area of the region bounded by the given curves. (6,12) LY

A: The graph of the function is given  We have to find the area of the region .

Q: 5. Consider the polynomial graphed to the side. Answer the following questions using that function.…

A: We need to interpret the graph.

Q: 44 If 2x=y¹/5 +y=1/5, then express y as an explicit d²y dy = 25 y. dx dx² function of x and prove…

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Q: DIFFERENTIAL EQUATION | Eliminate the arbitrary constants. Show complete solution. y= x² + c₁e²x +…

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Q: Differentiate. y' = y = 3 sec(x) - csc(x)

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Q: Sketch the region enclosed by y = 72 and y = 62. Find the area of the region. Question Help: Video…

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