dx Find given that dt 6x² + 7y² = 13 x = 1, y = -1, and Give your answer as a simple fraction. dx dt dy dt = 5

Q: dx 5x. J 75V9x² – 1

A:

Q: (2+3x)2 dx

A:

Q: 2x-1 dx

A: Given,

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A: The given integral is  I1=∫dx24x Solving the integral  I1=∫dx24x=∫2-4xdxLet -4x=u⇒-4dx=du⇒I1=-14∫2u…

Q: ve

A:

Q: dx 35. ex/2 +1

A:

Q: dx Vi -x 0.

A: we have to integrate the definite integral  ∫01dx1-x2

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A:

Q: Find dx2 7x y = - - 5x 4

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Q: dx 2. S sec4xcot4х

A:

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A: To find the value of given integration  We use some basic results of integration and substitution

Q: y dx y = 9x+8 Find dx

A: The given function is: y=9x+8   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power Rule:…

Q: •B Find 2xVx- 5 dx, where B > 3.

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Q: 2 x² +1 -dr. VI Calculate

A: ∫xn=xn+1n+1

Q: 2 x + لوا + sech (π) = cot(y) + log2 (tanh(x))

A: Given,            ex2+2y+sechπ=coty+log2tanhxTo find : Find dydx.

Q: Next, simplify. - 3t dt = dx

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Q: dx d. de. f(3x + 2)5 dx f sec²x

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Q: 2 dx 43.

A: Given integral is

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A: Consider the following integral: ∫ex1-exdx Substitute u=ex2→du=12ex2dx in the above equation:…

Q: dx

A: Our Aim is to integrate the following expression given below:-∫ex(2e2x-4ex-1)dx  -(i)

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A:

Q: dx 4. 1- 2cosx

A: The integration of the 1/(1-2cosx).

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Q: 1 dx 4+vx 10.

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Q: Find f''(x). f(x) = (x² + 1) ⁹

A: Here we have to find the double derivative of the given two functionsy=(x2+1)9and y=-7x6+1Here these…

Q: 3 dx 4+x2 00 Find

A: Let I=∫2∞34+x2dx. Simplify the integration I by using the constant multiple rule.…