E. Show that the function e sin y equation satisfies Laplace's a²z a²z 0.

Q: - 3 sin( – 5t)). Let r(t) = (2t³ + 4, − 5e¯ - Find f(t)dt (don't include the +C) fr(t)dt = { "

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: For the function f(x, y) = (4 - x² - y²), find a unit tangent vector to the level curve at the point…

A: The given function is   and the point is…

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Q: 1. Let 7(t) = . a. Find the unit tangent vector at t = 4. b. Write an equation for the tangent line…

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Q: Find (cost using Laplace find [[ sint] using Laplace

A: Here we can use following formula of Laplace transform 1. Lcosat=ss2+a22. Lsinat=as2+a23. Lftt=∫s∞Fs…

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A: Given: r→t=-4t,-5t,36-t2 at t=1 We have to find the value of T→1.

Q: 1. Find the unit tangent vector to r(t) = at t = n.

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Q: Write the given expression in an expanded form. Assume that variables represent positive numbers.…

A: Given, lnxx3-7x2+9   We have to write the above expression in expanded form.

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