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Q: A manufacturer has modeled its yearly production function P (the monetary value of its entire produc...

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Q: Show that 1+1/x+1/x2+1/x3+1/x4+…=x/x−1 assuming x>1.

A: Given series is, This a GP series.

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Q: find the domains of ƒ, g, ƒ + g, and ƒ . g ƒ(x) = x, g(x) = √x - 1

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Q: Find a parametric description r(t) for the following curve. The segment of the curve x = sin πy from...

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Q: Approximate 3√2 to 6 decimal places.

A: To Approximate up to 6 decimal places.

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Q: decide if the given statement is true or false,and give a brief justiﬁcation for your answer.If true...

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Q: Find the envelope of the family of ellipses x2/a2+y2/b2=1 having the same area.

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Q: Evaluate the integrals using integration by parts. ∫ tan-1 3x dx

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Q: please explain and show all parts

A: According to Leibniz rule(differentiation under the sign of integration):

Q: Investigate convergence of the series ∞∑n=1/1(n+π)(n+π+1).

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Q: Find the derivatives of the functions y = x2 + 3ex/2ex - x

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Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y ...

A: concept of integral :

Q: please explain and show all parts

A: Given integral is,

Q: Find the value of the summation. 3 %3D k=1

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Q: How are triple integrals defined in cylindrical and spherical coor-dinates? Why might one prefer wor...

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Q: Find and classify all local extrema of g(x) = (x^3) + 12(x^2) + 45x − 20.

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Q: If three resistors with resistances R1, R2, and R3 are connected in parallel, their combined resista...

A: On simplification,

Q: Find all the second partial derivatives. w = sqrroot u9 + v9 wuu = wu...

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Q: Sketch the region bounded by the graphs of the equations and find the area of the region . y = ex, y...

A: The diagrammatic representation of the area is,

Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

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Q: Calculus Question

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Q: Plot and label the center, vertices and foci of the ellipse a. 4x? + 32x + 9y² – 54y = -109

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,...

Q: 86. Find the average value of the function f(r, 0, z) = r over the sol- id ball bounded by the spher...

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Q: Find the volume of the region enclosed by the cylinder x2 + y2 = 4 and the planes z = 0 and y + z = ...

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Q: evaluate the integral.

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Q: determine the radius of convergence of the given power series.

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Q: parametric 2 Determine the slope of the tangent line to the curve x( t )=2 t3 −7 t2 +9 t +3 ...

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Q: Calculus Question

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question s...

Q: Write the following expression as a sum and/or difference of logarithms. Express powers as factors.

A: Given, logb (u5 v9) with u> 0 and v> 0

Q: Find the indicated partial derivatives. f(x, y, z) = y x + y + z ; fy(3, −3, −6) fy(3,...

A: Given function, Now to find fy(3, −3, −6) Differentiating f(x,y,z) with respect to y partially, ...

Q: Calculus Question

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Q: Could you help me with this question? I'm not sure how to solve for the values. I'd appreciate the h...

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Q: Q) Find the sequences generated by the following generating functions:- a) f(x) =2/(1-x^2) b) g(x)=...

A: The generating functions is the limit of the power series generated by it. we call such a power seri...

Q: Replace the polar equations with equivalentCartesian equations. Then describe or identify the graph....

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Q: The Reciprocal Rule a. The Reciprocal Rule says that at any point where the function v(x) is differe...

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Q: Use separation of variables to find the general solution of the differential equation. y- dx 4 cos(T...

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Q: Use integration to find a general solution of the differential equation. (Use C for the constant of ...

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Q: Which of these is the unit vector in the direction of (1, 2, 2) ? A) (1/3, 2/3, 2/3) 2 2 V5' V5 С) (...

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Q: Consider a thin plate of constant density d lying in the regionbounded by the graphs of y = √x and x...

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Q: If cot(r) (in Quadrant-I), find cos(2r): COS (Please enter answer accurate to 4 decimal places.)

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Q: decide if the given statement is true or false,and give a brief justiﬁcation for your answer.If true...

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Q: Find the derivative of the function y=[x2 + (1 -3 x)5]3

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Transcribed Image Text

find the valume 9tntrat ed by y= X? on [0,31 rotating abaut thlina X-5.(shell melthod) rated