divergent. If it is convergent, find its sum. n=0

Q: Given P(x) = x³ + 2x? + 4x + 8. Write P in factored form (as a function with a product of linear fac...

A: Given p(x)=x^3+2x^2+4x+8.

Q: Evaluate the limit (inx)" 10 lim x+5+(In 31x+10+(Inx) ×つ

A:

Q: if f(z) = V3+ 3z, find f'(3), using the definition of derivative f'(3) is the limit as z+ of the exp...

A: Given query is to find the derivative using definition.

Q: a) Find the center of the sphere satisfying the equation, x2 + y2 + z2 - 2x + 4y + 2z = 10. b)Fin...

A: The given equation of sphere,   x2+y2+z2-2x+4y+2z=10

Q: Use implicit differentiation to find y' and then evaluate y' at (-3,1). x2 - 9y = In y ... y' =D y'l...

A: Given: x2-9y4=lny   We know that; The Sum rule: f±g'=f'±g' The Power law: ddxxn=nxn-1

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. E (- 1)nn ...

A:

Q: Determine whether each integral is convergent or divergent. Evaluate those that are converg 1 9. d.x...

A: If limit of improper integral is given and is finite, Then it will converge.

Q: Write the first five terms of the sequence: 17 ln n n Determine whether the sequence converges, and ...

A: We will find the first five term of the sequence and also find the limit if given sequence is conver...

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its ...

A: Follow the procedure given below. 

Q: A doctor prescribes 100 milligrams of a therapeutic drug that has decayed to 40% of its original qua...

A: We use radioactivity decay law 

Q: Discuss the similarities and differences between what it means for a sequence to converge and what i...

A:

Q: dz Use the Chain Rule to find dt for z = x? + y? + xy, x = sin t, y = et.

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

Q: 1. Find the values of x,4 and z that corvespond to the critical point of the funchion Z="f(x,4)= Sx?...

A: We have to find critical points of f(x,y).

Q: The graph of fis given. State the numbers at which f is not differentiable. (Enter your answers as a...

A: If there is a sharp point at x=a on the graph , then function is not differentiable at x=a. If funct...

Q: A particular country's exports of goods are increasing exponentially. The value of the exports, t ye...

A:

Q: 3x -dx x4 + 1 Evaluate the indefinite integral. + C

A:

Q: Given the triangle below, find the angle 0. 15 10

A: Given that:                          

Q: (A) Differentiate the given equation implicitly and then solve for y'. (B) Solve the given equation ...

A:

Q: az and əs az e the Chain Rule to find for z = x²y3, x = s cos t, y = s sin t. at

A: We have to find derivative by chain rule

Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars) ar...

A:

Q: Use substitution to find the Taylor series at x = 0 of the function 22 sin (- x). ...

A:

Q: Sketch the graph and find the area bounded by the curves for y = 2x² and y = x² + 4

A: Given query is to find the area bounded by the curves.

Q: Find the value of (f o g)' at the given value. f(u) = u° + 9, u= g(x) = Vx, x=1 (fo g)'(1) = (Type a...

A:

Q: Use a calculator to solve the following equation for 0 on the interval [–90°, 90°]. 3 sin (0) 4 Roun...

A: We can find the value in the interval as below.

Q: Evaluate the following expression. 1 arccos Report your answer as a simplified fraction. Provide you...

A:

Q: Evaluate the following expression. arctan(- Report your answer as a simplified fraction. Provide you...

A:

Q: f(x) to 2. 2.

A:

Q: 13 Find the Maclaurin series for f(x) = 1+x 13 -? 1+x What is the Maclaurin series of

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Q: Find the absolute maximum and the absolute minimum of f(x,y)= 3xy-3x-6y+1 on the closed triangular r...

A: Given:- The function is, f(x,y)=3xy-3x-6y+1on the closed triangular region whose vertices are (0,0),...

Q: 2. Use the following information to write out the polynomial functions in factored form. Sketch a gr...

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Q: ind all critical points of the function f(x) 4x2 %3D 5x2-2x+4 Jse symbolic notation and fractions wh...

A:

Q: A silver dollar is dropped from the top of a building that is 1317 feet tall. Use the position funct...

A:

Q: Evaluate the integral. (Use C for the constant of integration.) (x^2-25)^1/2/x^3 dx

A: To find:-  ∫ √(x2-25)/x3 dx

Q: If f(x) 3 sin '(2), then f'(x)-

A: Given that: f(x)=3sin-1(x5)

Q: Express the surface area of revolution for: x = (y^4/4) + 1/(8y^2), 1 ≤ y ≤ 2; x@axis ( Express ds= ...

A:

Q: To the nearest tenth, what is f′(k) if f(x)=0.09e^xln(x) and k=8?

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Q: Use y - x(x - 5)2 and its derivative dy - 5x(x - 3)(x - 5) to find each of the following. 18 dx 18 F...

A:

Q: 9. | cos (2r) dt

A:

Q: For the area bounded by the curves y^2 = 2x and y^2 = -x +6 Determine the area enclosed by the curve...

A:

Q: -dx x´ +2x+3

A: The given integral,       ∫xx2+2x+3dx

Q: Calculate the improper integral if it converges, or show that it diverges. 1 dx -

A:

Q: me limit below represents a derivative f'(a) Find f(r) and a lim h-0 (5 + h)² – 25 h. 10

A:

Q: Compare the right-hand and left-hand derivatives to determine whether or not the function is differe...

A: Follow the procedure given below. 

Q: A cylindrical tank with radius 6 m is being filled with water at a rate of 2 m3/min. How fast is the...

A:

Q: The temperature at a point (x,y,z)(x,y,z) is given by T(x,y,z)= 1200e^(−x^(2) − 2y^(2) - z^(2)) whe...

A:

Q: Extension Question 2: What would happen if there was a cubic function inside the logarithm? Explair ...

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Q: dw 12. Let w = xey/z. Find the value of -at x = t?, y = 1-t z=1+ 2t dt

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Q: Draw a contour map of the function f (x,y) = (y – 2x)2 showing several level curves.

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Q: 4. Let f(x) = (x – 2)² (a) Find the average value of the function on interval [1,4] (b) Find c such ...

A: