12x2 Evaluate the integral: -dx 25 (A) Which trig substitution is correct for this integral? Ox = 5 sec(0) 5 tan(0) 25 sin(0) 25 sec(0) x = 25 tan(0) x = 5 sin(0) (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter 0, type the word theta. de (C) What is the value of the above integral in terms of 0? + C (D) What is the value of the original integral in terms of x? + C

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A: Given:    f(x) = x  Limit: 0 to 6    n = 4

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A: topic- functions and derivatives

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A: Giv:    x2 + y2 = ( 3x2 + 2y2 x )2     Point: ( 0 , 1/2 )

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A: Error bound Simpson's Rule :Suppose that f4x≤M for a≤x≤b . If ES is the error involved in using Simp...

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A: We want to select the correct answer from the given options

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A: Since you have posted multipart questions i can do first three subparts as per our company guideline...

Q: To determine To find: The value of lim ( - →5 12-41-5 6(1-5)

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Q: Use Simpson's Rule with n = 4 steps to estimate the integral. 3 3

A: To estimate the integral ∫025x2dx with n=4. Formula used: ∫abfxdx ≈Δ x3fx0+4fx1+2fx2+4fx3+…+4fxn-2+f...

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A: Solutions

Q: F(s)

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A: Given,            Integration is the reverse process of differentiation.To find : State true or fals...

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Q: Evaluate: 3 +4dy

A: ∫ 3y3y+4dy  

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A: Given

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A: We need to evaluate the following integral I = ∫tantan3xcos23xdx                            ...........

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A: topic - lowest common multiple

Q: How

A: We will use Lagranges Multipliers. 

Q: (a) Find the differential dy. y = V 15 + x² %D

A: y = f(x)dydx = f'(x)dy = f'(x) dxy=15+x2dydx = ddx(15+x2)dydx = 1215+x2 ddx(15+x2) dydx = 2x215+x2dy...

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A: topic - indefinite integral

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A: We can complete the table as below.

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A: Using pythagoras theorem;Right angle triangle ABC, x2 + y2 =252      ....(1)

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A: topic - definite integral

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