au at a²u 28. Solve Əx² U(x, 0) = 3 sin 2+x, U(0, t) = 0, U(1, t) = 0. = where 0 < x < 1, t > 0 together with the condition

Q: 6. Find y' if y = ecotx? A. -2x [csc²(x²)] (ecotx") B. -[ csc (x*)] (ecotx") C. [cot(x²)]…

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Q: 8. Find the function Sthat satisfies the given conditions. )S"(=) = sin r – e-2" with S"(0) = } and…

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Q: 5) Determine the equation of the tangent to the curve y = √3x² - 2x at x=1.

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Q: y = x * (sin 1x)² – 2x + 2v1-x² * (sin-1x), Find dy dx

A: Given that equation of y and we find dy/dx. We know that d(sin-1x)/dx = 1/√1-x2. And d(xn)/dx =…

Q: ) Find y' sin)= 8x+y

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Q: tan(x+1) Find y' of y =

A: y=tanx+1x

Q: Differentiate: y= 5 cot2 (25r) Oy = 750z cot2 (25r) csc(25z) CSC Oy=-750z cot (25r) csc (25z) O…

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Q: x < 3x + 4 and 4x − 1 ≥ 15. Give your answer in interval notation, and sketch a graph of this…

A: Provided that                                       x&lt; 3x+4      and   4x-1 ≥ 15Take…

Q: C- Find f' of the following: 1) √2x³-2² + In ² 2) 3xe³r+1 3) sin ¹(³).

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Q: sin(32 + 2')| y = (6 – 2^)3

A: As we know that: The Power rule:ddxxn=nxn-1The chain rule:fgx'=f'gx·g'xThe Quotient…

Q: y'' + 3y' + 2y = sin ex

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Q: Q3 A) Sketch the function y=sech' x , then write the properties of this function. 30 B) Evaluate Two…

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Q: Solve: y" + y'tanx = (y')²

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Q: 129, given 18) Find y'= A) 2y/(2x - sin y) C) - 2x/(2y - cos y) in terms of x and y for an Implicit…

A: Given; y^2+x^2=siny+4

Q: Js sec¹ (t) tan(t)dt

A: The given integral is .We have to solve this integral.

Q: (1) C) What is y'(x) for a function defined by the equation x sin(ay) = y+ e" as it passes through a…

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Q: (tant)2 dt ? + 1 ,2 -00

A: We have to evaluate the given integration

Q: 3) Find the Frenet (TNB) frame for the function at the point (2, 5n,0). Hint: once you find T and N,…

A: Given that  r(t)=-2cos3t,5t,2sin3t The formula for T is, T=r'r', Take the derivative for r,…

Q: if) = e3² +4j sec²U² + 5j) Find the derivative of these 2 problem. 5s3+4 a(s) = In 3s2+2s.

A: To find the derivative of the given functions.

Q: 3. Suppose that a point moves along a curve y = f(x) y=f(x) in the xy-plane in such a way that at…

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Q: derivative of y = e(sin⁡x) − sin⁡(ex)8

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Q: Find the following using the table below. x 3 4 f(x) 3 5 1 f'(x) -5 2 -4 1 g(x) 1 4 2 3 g'(x) 3 2 -1…

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