Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y = 0, and y – x = 1 and - x + y + z = 0. NOTE: Enter the exact answer. 1 V .... ...

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A: The demand function for beer is given below, where p is the retail price and  D(p)  is the demand in...

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A: v(t)=3t2-60t,    t≥0the particle is moving to the right whenv(t)>03t2-60t>03t(t-20)>0

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A: Let's find. 

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A: Given query is to find the value of f(-4.9).

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A: Let us consider a curve y=f(x) x=a is said to be a critical point of this curve iff f'(a)=0 x=a is ...

Q: (-1)" n n! n=1

A: Yes the series is convergent  see below the explanation

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A: topic - application of derivatives

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Q: Question Select your answer. Find the equation of the tangent line of f(x) = x at r = -1 y = -2x + 3...

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Q: 8. Find the positive constant a(> 0) so that the parametric x = at, y = -t? is a solution to y = x()...

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Q: 6. Use the sum and difference identities to simplify the expression. '5T COS 12

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A: Solution is written in below steps.

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A: Comparing with dy/dx+p(x)y=q(x)  Then integrating factor=eintegration p(x) dx

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A: Convergence of series

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A: Area(A)=∫-21x2-2x+3 dx

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Q: Given the function f(x) = x – 15x², find all x-values where f has an inflection point.

A: Solution is written in below steps.

Q: Determine whether the improper integral diverges or converges. 1 dx e6x + e-6x converges O diverges ...

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Q: 1.) The cost C of a product is a function of the quantity x of the product: C(x) = x² – 4000x + 50. ...

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A: Note : " Since you have posted multiple questions, we will solve first question for you. To get rema...

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A: We have to check weather the given series is convergent or divergent.

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A: Rate of change

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A: A rectangle has a length of 6 inches and a width of 4 inches whose sides are changing.The length is ...

Q: 1. Which of the following is correctly matched? O z'y"-y =0: linear, third order O ryy + 4x = 0: lin...

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A: topic - quadratic equations

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A: ϕ(x)=xe2x is a solution to y'+ay-e2x=0

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A: Note that, the Maclaurin series of  ln(1-x) is: ln(1-x)=-x-x22-x33-x44-...                  ...(1) w...

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