4 sin (In t) cos`(1nt) dt 5.

Q: how to convert 27 inches into yards by finding an equivalent rate

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Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = 4 cos(7t)i+4 sin(7t)j+ 3tk K(t)…

A: By using the formula kt=r't×r''tr't3 to find kt.rt=4 cos7t i+4 sin7t j+3t k

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Q: 4. Below is a photograph of the Eiffel Tower in France. On it there is a red parabola and purple…

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A: Given,            xexy-xsin-1y=lnxyTo find : y'

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A: Given f(x)=58-xwe know that the power series11-r=∑n=0∞ rn

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Q: x-1/2 d) -dz e) 5e5x 2x1/2 x-5/2 dx x-3/2 e5x f)

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Q: Example: Find C² sint]? Solution:

A: To solve the following problem

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A: The given equation is: 9x2-8y2+36x+64y=164...(1)

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Q: Evaluate the integral. HINT: [Use a shortcut.] e 8x - 1 dx

A: Using substitution ,

Q: Q11. Suppose z = f(x, y), x = g(t), and y = h(t) satisfy: h(7) = -2 h'(7) = 1 f-(2, –2) = 2 fy(2,…

A: Suppose z=fx, y, x=gt, and y=ht satisfy: g7=2, h7=-2, fx2, -2=2g'7=-3, h'7=1, fy2, -2=0By using the…

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Q: 1. Determine the convergence or divergence of each of the following sequences {a, }. sequence.…

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Q: In Exercises 4-6, solve the given initial-value problem. dy 6. dt 21 e2t, y(1) = 0

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Q: f the limit of the nth term of a series converges to 0, then the series onverges.

A: This is the false statement. So i am providing an example in my handwritten note, so that it'll be…

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Q: dy Suppose ax 3x + 1 ) /(3 x² + 2x) 1) V(3x2 + 2x ) and y(0) = 1. What is y(5)? O 364.327 264.227 O…

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Q: | (2x - y) dx + (x + 9y) dy. Ic Evaluate C: x-axis from (0, 0) to (0, -9) and (0, -9) to (5, -9)

A: We can solve as follows

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A: Explanation of the answer is as follows

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A: Find Maclaurin series.

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A: Given,  dydx=2e-2x and y(1)=4

Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 3 r(t) = 4 cos(7t)i+ 4 sin(7t)j + 3tk…

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A: Simplify and take the suitable value of x such that A , B & C can be calculated easily.

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A: