Find the inverse transform of the given function of s. F (s)- -4s2 - 6 (s+ 4Xs +6Xs-7)

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Q: Consider the following. 7x²y³ = 8 (a) Find y' by implicit differentiation. 14x 3y y' = (b) Solve the…

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Q: b) Is the integral f x(In x) P sina de convergent? Explain why! a

A: To determine  whether the integral ∫01sin xx dx is convergent. To explain why.

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Q: 10 S3 X (xy+8) + dydx Now try the integral $10 S3 order of integration is important. = X (xy+8)¹…

A: Consider:…

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Q: 2) Solve 2y" +5y' = 10, where y(0) = 1, y'(0) = 0. (hint: use integrating factor)

A: Given :solve 2y" + 5y' = 10 , where y(0) =1, y'(0) = 0

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Q: (a) Write the integration (b) Evaluate the indefin i. ii. iii.

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Q: Find the transform of the given function by use of a table. f(t) = 4t³e²t 24 (s+2)4 (B) There is no…

A: We have to find the transform of the function  ft = 4t3e2t.

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Q: eai coefficio 3. Find all the roots of the polynomial f(x) = 2x¹ + x³ +7x² + 4x - 4.

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Q: Determine if the improper integral is convergent or divergent, and calculate its value if it is…

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Q: me differential equation as a solution y=- nen: = || || I I I -5te4t y"""' + ay"" +by" + cy' + dy +…

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Q: Which of the following is not equal to logu? log, e 74 In(a) 74 1. 11. u.In a Il only III only OII…

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Q: Find dy/dx by implicit differentiation. (5x^3)(y^2)−(7x^2)(y)=2

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Q: Evaluate the definite integral. π/2 x² sin x [12²232² -π/2 1 + x8 - dx

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Q: Given the following differential equation: (y³+ kxy4 - 2x)dx + (3xy² + 20x² y³ - ky)dy = 0 a) Solve…

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Q: Consider the following integral. Sketch its region of integration in the xy-plane. 0 LL 9-x² 6xy dy…

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Q: Suppose R is the triangle with vertices (−1,0), (0, 1), and (1,0). (a) As an iterated integral, ff…

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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: At what point on the y-axis will the normal line at x = 1 of the function f(x)=√x intersect?

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Q: tanh(lnx) = x² - 1 x² + 1 22

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

Q: What term(s) should appear in the partial fraction decomposition of a proper rational function with…

A: Topic - Partial fraction decomposition We are given, a.) A factor of x-3 in the denominatorb.) A…

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Q: i. S 6x ln(3x² + 5) dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Find the indefinite integral. (6x + 1)-9dx

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Q: Evaluate Set 7x cos (6x) dx. Sex cos (6x) dx =

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Q: Question 3 Find the transform of the given function by use of a table. f(t) = e4t 1 (A) F(s)= S + 4…

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Q: simplify the expression:  tan^2theta/sec^2theta+cot^2theta/csc^2theta

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Q: Evaluate the following integral using integration by parts. f10te' dt OA. 10te¹ + (10te¹) dt OB.…

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Q: 4. Find an equation of the tangent plane to the surface xy + yz+zx = 3 at the point (1,1,1).

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Q: 66. 1 - 1 2 + 2 4 68. + 5 25 1 4 + T 8 125 +

A: Question no. 66 &amp; 68 solved

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Q: @fő)= 5. Find the hypercritical values of the function. f(x) = + x ²² 36x² - 12x² hev's @concup=…

A: Hyper critical values:- those points where the function second derivative is either zero or…

Q: Step 3 Now write the derivative in terms of x by recalling that u = -3x + 7 and v = x + 7. du 1 +=…

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Q: Evaluate the following integral. 2x + 5 2 x + 25 X 2x + 5 2 x + 25 dx dx =

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Q: 2. Find d [ex (x4+1)×] dx J X

A: See this solution in below.

Q: 3. Find the value of x for which the slope of the tangent line to the curve y = 100e is - 500. -5x…

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