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

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A: given y''+9y=cos(6t) taking laplace on both sides  L{ y''+9y}=L{cos(6t)} L{y''}+L{9y}=L{cos(6t)}…

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Q: -4 Challenge #3 y = 1·3x 16 Adjust the equation so the exponential function passes through the…

A: Topic- exponential function

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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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A: topic- exponential function

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 1 + est L{f(t)}

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Q: 12. Find the radius and interval of convergence of the power series ∞ n=1 (x-4)" √√3n

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A: NOTE: Refresh your page if you can't see any equations. . the given graph is as we can see the given…

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Q: (a) AB X AC (b) the volume of the parallelepiped determined by AB, AC and AD

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Q: Evaluate the following. √ √x- x - 4y + z ds S: z = 14 - 3x +9y, 0≤x≤ 6,0 ≤ y ≤4 Part 1 of 4 To find…

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Q: 1) . Is the differential equation linear? dy dx = x4y + sin(x) YesNo     PLEASE SHOW STEP BY STEP .

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Q: 1. Using a compound angle formula, demonstrate that sin is equivalent to 2π 3 sin π 3

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Q: 70. If A = (4i-3k) and B= (-i+j-2k). Find the vector product of A and B. a. (6i+8j+k) b. (-6i+8j+7k)…

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Q: Find the derivative of f(x, y) = e- x ln(y² + 1) at the point R(4,0) in the direction of w = (2, 1).

A: NOTE: Refresh your page if you can't see any equations. . the given vector is find the unit vector

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Q: Let E be the solid region which lies above the region in the xy-plane bounded the curves y = √x and…

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Q: 3) . Is the differential equation linear? y' = y + ey YesNo       PLEASE SHOW STEP BY STEP .

A: answer is in next step. please give a like !!

Q: Problem 7. Answer: Find #L if y = 7x45

A: To find dy/dx at point x=1

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Q: Verify the Divergence Theorem by evaluating F.NO N ds as a surface integral and as a triple…

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Q: Evaluate the integral using the following values. 8 ["x³ dx = 960, ["x dx = 24, ["dx-4 = J4 8 [²- x…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: 8) Evaluate the following without the use of a calculator arccsc(-√2)

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. S² (t =…

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