Find the area of the surface generated by revolving the given curve about the y-axis. x = 2y + 3, 0 < y< 4 NOTE: Enter the exact answer. S ||

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = –4, f'(0) = 13, f"(0) = 14,...

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A: solution given below

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Q: Quotient Rule Differentiation Give 3 examples with a solution and final answer. Make sure it is uni...

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Q: X+イ

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Q: What is the volume generated by revolving the shaded region around the x-axis? Use the Disk Method. ...

A: Here we know that Volume (V)=∫abπr2dxTherefore here,Given function y=4x-1V=∫14π(4x-1)2dx Take the co...

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Q: 4. Given the function f(r) = 3 - 6.r+2, discuss its relative maximum and minimum points, the interva...

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Q: Y zo when X-0 -h sin TRX

A: topic - integration 

Q: x = -1 if y=u° +5u – 4 a

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Q: 1D Learning Task 2: Find the slope of the given two points 1. (5,2); (2,3) 2. (0,3); (-2,5) 3. (3,5)...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1+x 1 F(x) = 1 +x+ :·...

A: Using the binomial series expansion: (1+x)k=1+kx+k(k-1)2!x2+k(k-1)(k-2)3!x3+...                     ...

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 5+ 2" 1....

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Q: The Differentiation to be made must be based on the following topics. - Trigonometric Give 3 example...

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Q: Product Rule Give 3 examples with solution and final answer. Make sure it is unique and not advanced...

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A: This question can be solved using the concept of change of gravitational potential energy.

Q: Fin d y' forsin X +Sin Y =A

A: Given query is to find the derivative of the expression.

Q: f(x) = Use the definition of Taylor series to find the Taylor series (centered at c) for the functio...

A: By using the definition of Taylor series to find the Taylor series centered at c for the given funct...

Q: Determine whether the series is convegent or divergent. If it is Convergent, find its Sum, 8) nニ2

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Q: 12. Simplify the following rational expression for the function f (x) = 5x2 f(x + h) – f(x) h

A: Given f(x)= 5x² So, f(x+h)= 5(x+h)²=5x²+10xh+5h²  

Q: Question 1: Differentiate the functions. a) f(x) = 2 – 5cosx +x4 + 3* b) f(«) = +

A: I am attaching image so that you understand each and every step.

Q: A monopolist produces two goods as follows: p= 11-0.5x, q = 51- 0.5y where p and q are prices per un...

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Q: Integration using Algebraic Substitution x²dx 1) S Vx+2 3

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Q: Question 6 of 9 Find the Taylor polynomials of orders n = 0, 1,2, 3, and 4 about x = x0 and then fi...

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Q: For f(x)=(x^2+x−2)/(x+2) does the Mean Value Theorem apply on the interval [0, 2] and why?

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: The given power series,         ∑n=0∞x2n

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: The given sequence,      17, 179, 1792, 1793,......

Q: 1. Let E be the solid triangle in R³ whose corners are the points (1,0,0), (0, 1, 0) and (0,0, 2). C...

A: We have to compute the integral.

Q: Integrate the following: xdx 1. S x²-x+1 xdx 2. S V9x4-1 dx 3. S XVx-1

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Q: For f(x)=√(x^2+2) find all the values of c on the interval [0, 1] that satisfy the Mean Value Theore...

A: Given query is to apply mean value of theorem and find value of c 

Q: Explain stokes theorem step by step and try to solve a problem using the stokes theorem

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Q: The Differentiation to be made must be based on the following topics. - Quotient Rule Give 3 example...

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Q: Consider the function f(x) whose graph is given below. y= f(x) in Enumerate all discontinuities of f...

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Q: Using the figure shown, find csca (3, - 4) -5/4 -5/3 5/4 5/3

A: Here we will find  cscθ,

Q: Find the radius of convergence and the interval of convergence. k(k + 4) Radius of convergence: Inte...

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Q: 1. Let E be the surface in R3 given by z = e-*-y where x2 + y² < 4, oriented with the upward normal....

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Q: Using appropriate substitution and taking a + 0, 3tan(ax) the integral S dx is equal to: cos² (ax)

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Q: the area between the curves y = x2 - 8 and y = 4

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Q: What are the removable singularities of the functions ?

A: Topic:- function

Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r ...

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Q: Given: C = 10 24° В a = 12 Find the following item (nearest whole number and degree). ZA = 102° 78° ...

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Q: If the entire pizza has a 16 inch diameter and is cut into 8 slices. Find the area of a slice of piz...

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Q: Find the work done (in Joules) in pushing a car a distance of 8 meters while exerting a constant for...

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