Use the Table of Laplace Transform to find the Laplace Transform of the given function. I. d. sin3t cos3t e. -4t3 + 16t + 9

Q: 5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as…

A: Let's find.

Q: Find the equation for the plane through the points Po(0,2, – 5), Qo( - 4,1, – 4), and Ro(5,4, – 3).…

A: plane passing through the points P00,2,-5, Q0-4,1,-4 and R0=5,4,-3

Q: Use implicit differentiation to determine dy/dx given the equation x^5+y^2=−4

A: implicit differentiation to determine dy/dx given the equation    x5+y2=−4

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Q: dz dz Draw a dependency diagram and write a chain rule formula for and given the functions below. ds…

A: 1. D  2. D

Q: 6. Find the intersection of the line I and the plane t. 1:7 = (4,–1,4)+t(5,–2,3) T: 2x+5y+z+2=0

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Q: Solve 7 cos(2w) = 7 cos (w) – 3 for all solutions 0 < w < 2n w = Give your answers accurate to at…

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A: Please see the answer below.

Q: equation for the translated function? A. y+5 Ax + 4) B. y-5 - Ax-4) C. y+5 = (x- 4) D. y-5 (x + 4) |

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Q: Use the linear approximation of the following(Answers are to be expressed in 4 decimal places) f(x)…

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Q: 1. Find the inverse of the matrix 6 12 3 3 A. 10 10 C. 30 30 3. 10 7. 3. 30 10 30 152/5 D.…

A: Solution is done in step 2

Q: Given f(x) = (2x -3) (x+1). Determine (if any)

A: Differentiation

Q: 23. y = 2x, y=x, 0<x< 6

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Q: 1. Given the vector u = (2,0, 1). %3D (a) Solve for the value of a so that u and i = (a, 2, a) form…

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Q: kindly answer immediately, thankyou somuch 1. At the critical point (i.e., maximum or minimum…

A: Critical points of a function y=f(x) is calculated by taking          dy/dx =0 Therefore at critical…

Q: Given the vector i = (2,0, 1). (a) Solve for the value of a so that u and o= (a, 2, a) form a 60°…

A: Given the vector u→=2, 0, 1.a To solve for the value of 'a' so that u→ and v→=a, 2, a form a 60°…

Q: Let f(x) = x - 25. The arc length of the graph of f(x) over the interval [6, 10] is given by the…

A: Topic = Integration

Q: Solve 4 sin(2x) – 5 cos(x) = 0 for all solutions 0 < r < 2n 2.68

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Q: Determine the Laplace transforms of 3, 0 12

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Q: x²+12x+12 dx x3-4x 1.

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Q: sin x ferentiate y = (x² + 1)°

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Q: Question Given F(x) below, find F'(x). F(x) = In (71 – 2) dt Provide your answer below:. F(x) = D…

A: Given query is to find the derivative.

Q: Find the Taylor polynomial of order 3 generated by fat a. f(x) = x2 +x+1, a=2 O A. P3(x) =7+5(x- 2)…

A: f(x)=x2+x+1f(2)=4+2+1 =7f'(x)=2x+1f'(2)=4+1 =5f''(x)=2f''(2)=2f'''(2)=0

Q: a) Using the definition of derivative, calculate the derivative of the function of f(x) = /3x +1 (b)…

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Q: d) Find the inverse : y = (x + 2)2

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Q: Consider the solid of revolution obtained by revolving the region between the curves y=0 and y=x^2…

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Q: dy By using implicit differentiation, find dx x.y)-(1.0) for xy + e*» = sin(x +1). (x.y)-(1,0)

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Q: Find the area of the region described. - 3 The region in the first quadrant bounded by y =x and y= 3…

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Q: Question 5 of 13 On what instance does the Chain Rule of differentiation applicable? Explain…

A: In this question we have to find on which instance does the chain rule of differentiation…

Q: Given the demand function D(p)=150/p Find the Elasticity of Demand at a price of $38

A: Given, Given the demand function Q=150/p At p=38 Q=150/38 Q=75/19 We know that price Elasticity of…

Q: Evaluate 7(t) dt: 4 4t -k; a = 0 and b = 4 t2 +1 †(t) -î + 2e4t cos t ĵ- t2 + 5t +6

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Q: (b) perimeter of AABC ВС perimeter of ADEF EF 2 So perimeter of ADEF = 15cm 7.5 perimeter of ADEF 4

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Q: J.) Frawate 822-27. 922-9 lim Deser mire the domain 6.) F(x) =「メー %3D

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Q: | csc(cot r) + cos? sin? dx

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Q: Given r→(t)=⟨cos⁡2t,−sin2t,4t⟩, find the unit tangent vector

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Q: Consider the following integral. dx Given the substitution u = x° - 4, find du. du dx Rewrite the…

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Q: dx 4е2я — 8ет + 5

A: This question can be solved using the concept of special integrals.

Q: f(e) =. Find the Taylor series, centered at c = 5, for the function f(z) 00 Σ f(x) = n-0 The…

A: Solution is given below:

Q: Use the root test to determine whether the series 7n -n-2\" 3n2 +n+ 4 converges or diverges. Since…

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Q: 6. The following gas stations were cited for irregular dispensation by the Department of Energy.…

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Q: Find the derivative of h(x) = e$ec(x-n)

A: dexdx=ex dsec(x)dx= sec(x) tan(x) d(xn)dx=n.xn-1

Q: Find the Indefinite Integral and check the result by differentlation. dx (5x)- Step 1 To obtain the…

A: topic - indefinite integral

Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. dx

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: Let's find.

Q: Question Ris the region bounded by the functions f(x) = 6. and g(x) = 2x - 6. Find the area of the…

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Q: Find the following antiderivatives. Cosh sinh r - 1 cosh r dr (a)

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: se part one of the fundamental theorem of calculus to find the derivative of the function. g(x) (x)…

A: We have to find derivative

Q: 3. Evaluate: lim x-0 (sinx

A: According to Bartleby guidelines we are supposed to do only one question. If you want more to be…