Solve the following integral by changing to spherical coordinates. •1 IL 1-x2 ·1+√/1-x²-y² √1-x² 1-x²-y² (x² + y² + z²) ¾ dzdydx

Q: Sketch the graph of the function. x + 7, g(x) = 플x-4, 2 x -2

A: The given function,The aim is to sketch the graph of the function.

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A: The given rectangle .Also .To Find:Riemann sums over and under-estimate.

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A: As per the guideline I am supposed to solve only first three sub-part of the given question.

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A: As per bartleby guidelines we solve only first question and rest question can be reposted…

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A: Numbering this brackets,Defined in below...

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A: To Prove:We prove that  are relatively prime for every integer .

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A: The integral A=∫abf(t)dt represent area bounded by y=f(x) from x=a to x=b if y<0 on (a,b) ( below…

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A: Consider the following implication, where n stands for an unknown integer.“If n is divisible by 10,…

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Q: (1). The following series does it converge? (a). Σo(54)". 5i

A: As per the guideline, I am supposed to solve only first question from the given problems.

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A: Our objective is given below:

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A: Let and .We have to determine the number of injective functions from  to .

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Q: Winter temperatures tend to be cold in the city of Johnstown. The table of values represents the…

A: We can solve one part of above question.For remaining subparts you can repost the question again.

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Q: the cylielied 1.15) EXPRESS THE VECTOR K = (x^²√²³y + xy²5₂ coorddicta syster & eveluet it at the…

A: x=ρcos⁡ϕ  ,  y=ρsin⁡ϕ  ,  z=zThe position vector, r→=x ax→+y ay→+z…