Q4) A) Find by using chain rule if f = ( , u=-1, x=-1 dx ++1 B) Evaluate the following integral: V2 + sin 3t cos 3t dt

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Q: 2 an is an infinite series with partial sum Sy = 9 – N2 Suppose that n=1 16 What are the values of а...

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Q: ) Evaluate the following integral: S V2 + sin 3t cos 3t dt

A: We have to find solution of given integral.

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Q: Verify that the indicated function is an explicit solution of the given differential equation. Assum...

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A: Given,           gx=2x2+6x+3To find : The maximum or minimum value of the quadratic function.

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Q: dx (c) x² /4 – x2

A: Please see the below picture for detailed solution. 

Q: 9)6

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A: Question : Calculate the curvature of the cycloid x(theta) = a(theta - sin(theta),       y(theta) =a...

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A: So set C and D are equal. 

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Q: Find the derivative of the function y = tan^-1 x/1-x + sec ^-1 sqrt x+1 %3D

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Q: A ball is launched vertically upward with a velocity of 128 ft/s, so its position function can be mo...

A: Given that - A ball is launched vertically upward with a velocity of 128ft / s so its position funct...

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A: Find your answer below 

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A: nn+19n=1∞  

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Q: Question 3 Find the length of the curve with the given vector equation. r(t) = (8 - 21) i+ (4 + 6t) ...

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A: Given that polar cuve equation θ=π5,r≥0Solution :π5&lt;π4θ&lt;π4r≥0

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A: Given query is to find the the value of the indicated function.

Q: Find the derivative of the function. y = xe¬x/ y' = %3D

A: ddxxe-x7  

Q: f (x) = x6 + 12x 2 at x = 1 %3D

A: Here,            f'(x)=x6+12x-52'        =x6' +12x-52'        =6x5-30x72        =-30+6x172x72 And at...