Find the equation of the line that is tangent to the graph f(x)= 3x^3-x and perpendicular to the line x+3y=-6=0

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A: Given integral:- ∫02∫2y4ex2+1dxdy

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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

Q: 4. Let g(x) = f(t)dt, where f is the function whose graph is shown. (a) At what values of a do the…

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Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = e-t cosh(t)

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

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A: I am attaching image so that you understand each and every step.

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Q: 29. a) 5) The displacement of a particle is given by the equation s = 1³-152² + 63t, where s is…

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Q: 55. Find the area bounded by r = 4 sin 20 a. a. 4n square units b. 8n square units C d. 4 square…

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Q: 1. Find the volume generated by revolving about x=1, the area bounded by y = (x²-₁)² and the x-axis.…

A: We have to find the volume generated by the given function.

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Q: 45. Which of the following is the Laplace transform of cos(2t)+2tsin(2t)? a. s^2/(s^2+4)^2 b.…

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Q: 4. y = esec²z (A) sec²rtan resec² z (B)-2 secrtanrx sec²z 5. y= Arccos(x²) 2x (A) √1-2¹ 2x √1-x² (B)…

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Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

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Q: solve each of the following nonhomogeneous differential equations. 6. (D²-1)y=2(1-e-²x)-1/2

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . .…

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Q: Consider the following. u = (-2, -7, -5), V = = (-8, 3, -6) (a) Find the projection of u onto v. (b)…

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Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 12…

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Q: Find an equation of a line that is tangent to the graph off and parallel to the given line. Function…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Find the derivative of the following functions. 1. F(x): = ſª √³+8dt

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: 7 The volume of an ellipsoid y + + fixed, show that the ellipsoid of maximum c² 4πabc 3 volume is a…

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Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 2n +4n in (2n) X

A: Follow the procedure given below.

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Q: 3 ne the area bounded by the functionsf (x) = (x+1) ³ andg (x)=x+ 1. one of the given choices 1 -…

A: Please refer to the image below

Q: In Evaluate the integral: Sé e x²+3x-7 x-2 dx

A: Option (b) x22+5x+3ln|x-2|+C

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Q: ) . Solve the differential equation by using integrating factors. xy' = 6y + x2 y(x) =

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Q: Please find all 0 ≤ 0 ≤ 2π, for which ... (a) tan () = √3 (b) 3 sin²(0)+ 4 = 5 (c) 2 cos(ln(x² + e²)…

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Q: A cylindrical tank of radius 10 ft and height 15 ft is two-thirds filled with water. Find the work…

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