Find T(t) and N(t) at the given point. r(t) = 4 cos(t)i +4 sin(t)j+tk; t = - 6. T;)- .2 NE) -

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A: Trigonometric

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A: Let's find.

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A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

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A: Part a)Given:

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A: To prove that               u→·v→=u→v→cosθ

Q: For F(t) = (3 cost, 3 sin t, 4t) find T,Ñ, and B

A: Given that : r→(t)=3cost,3sint,4t. Therefore, r'(t)=-3sint,3cost,4. So, r'(t)=9+16=5. Therefore,…

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A: Given, ∫cos3x dx We can write it as by using the trigonometric identity as, cos2x=1-sin2x∫cos3x…

Q: a. f(t) = cos(2t). Find F(s) b. g(t) = e²t sin(3t). Find G(s) c. H(s) = 3s +1 s² - 2s + 5* Find h(t)

A: We have to find the Laplace transform and inverse Laplace transform.

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Q: .  If tan(t)≈2.7, tan(t)≈2.7, and sin(t)≈0.94, sin(t)≈0.94, find cos(t).

A: For right angle triangle containing base, altitude, hypotenuse and angle x. Tan x = altitude / base…

Q: Use the convolution theorem to show that cos T sin (t – T) dr 1 sin t. %3D 2

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A: For the solution follow the next steps.