+oo 2" Use an appropriate test to determine if the series converges or diverges. n+en n=1

Q: 2 + x², -2 <x< 0 1. f(x)dx; f(x) = -x + 2, 0<x<4 -2 2

A: Given query is to find the value of the integral.

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Q: f(x)dx if V3 Find 3 | f(x)dx = -2 and f(x)dx = 4 f(x)dx = 3

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Q: /(2- sec?r) eln)gsec'x (2– What should be the value of A for -dx to be integrable using the formula ...

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Q: Find the vector component of v = (4,–1, 7) along b = (1, 4, -8) and the vector component of v orthog...

A: Given: v=4,-1,7 &amp; b=1,4,-8   We know that; The expression for the vector projection v onto b is:...

Q: dx Vx

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Q: cos2x – sin2x cos2x dx3D -C. What is F(x)? For cosx – sinx

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Q: dx - = In[F(x)]+C•What is f(/3) For if C = 0? (x+x³) (x Tan-!x+ 1)

A: A detailed solution is given below

Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* | + C. Where A, B, and C a...

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Q: 17. A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 9...

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Q: Obtain the particular solution satisfying the initial conditions indicated.

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Q: 1. Sketch the graph of the following Quadratic function f(x) = (x- 1)2 -4 and find the following (a)...

A: Given Quadratic Eqaution :  y= (x-1)2-4 Graph : 

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Q: Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mi...

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Q: Question 16 In (ale) (2-sec2x)emlesec'x sec( 3A – x) What should be the value of A for dx to be inte...

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Q: 4) Factor fully. a) x3 + 4x² + x – 6 b) 2x3 – 9x² + 7x + 6

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Q: The integral Cosr -e SInx sinx +x +e dr may be written as „nsinx me' + px+ ge* + C, where m, n, p, q...

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Q: 7. Find all solutions to the equation sin r = –0.7 with -1 <I < 10. 8. Find the equation of one of t...

A: Topic:- derivatives and equation of line 

Q: 10* -dx may be written as Aln secB*+ tanB*|+ C, where A, B, and C are constants not equal to zero. E...

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Q: 2sim x-1 -y = COST+2

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Q: What is the integrable form of sin-cos-sin0 de? 2 2

A: A detailed solution is given below.

Q: Solve the following. 1. Consider the curve of the function f (x) = 2x2 a. Find an expression for the...

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

Q: Solve simultaneous equation dx/dt=x+y , dy/dt=4x+y , t=0 , x=2 , y=5

A: First I have written the differential equation into operator form and then reduce it into linear dif...

Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9.

A: We will find the area of the region. 

Q: The expression below is an evaluation of which integral? * 6x + 3 ln|æ – 2| – 18 ln|æ + 4| +c 2x2 – ...

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Q: 1dx

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Q: 4. y=x

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Q: Consider the function f(x) = 4x - 8r on the interval (0, 4]. Find the absolute extrema for the funct...

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Q: (1 point) Evaluate the iterated integral by converting to polar coordinates. NOTE: When typing your ...

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Q: 2. An object is dropped from a stationary balloon at 500m. (a--9.8m/s²)( a. Express the object's hei...

A: This is a problem related to newton's law of motion. By using general formula of motion's we will ca...

Q: has

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: Integral of tan^5(x) dx Show Complete solution

A: This is a problem of differentiation. By general formula we will solve the question. Assume, secx = ...

Q: Given a curve Determine the unit tangent vector, T, the principal unit normal vector, N and the bino...

A: A

Q: A. Use the tabular method to evaluate the following limits. Set three values of x from each side. Ro...

A: To evaluate the given limit using the tabular method. limx→091+x-91-x31+x-31-x

Q: d²x dx + k?x = 0,k is real number; when t = 0,x = 0, = vo. dt dt2 vo sin(kt) ANSWER: X k

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Q: ( (cos (2x) – sin(2x) cos( 2x)) cos (x) – sin(x) For (x) +C. What is F (x)?

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Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​ ...

A: Basic application of derivative problem

Q: he given series converges or diverges. use the following as proof: rison Test, Integral Test, Series...

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Q: dx For (x+x³)(x Tan-!x +1) = In[F(x)]+ C• What is f(/3) if C = 0? 3 V3 6 + 3 +

A: Given:     ∫dxx+x3xTan-1x+1=lnFx+C    =∫1x+x3xTan-1x+1dx substitute u=tan-1x →du=1x2+1dx     =∫cot2u...

Q: cos2x- sin2x cos2x For dr=-F(x)+C What is F(x)? COSX sinx 1. (sinx COSX O (cscx x – secx) ³ CSC) cos...

A: We have to find F(x) by indefinite integral

Q: I Find the second derivatively") of the following functions and simplity the final results. 1. y=x-x...

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Q: 6. How do you know if a system has a unique solution? (A) The associated, reduced augmented matrix h...

A: To determine the form of reduced augmented matrix when the system has a unique solution.

Q: sin-cos-sino de has the form 2 The resulting integral of -C. What should be the 4 value of 0 to make...

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Q: 1. y= x - x'cosx + 2xsinx + 2cosx

A: solution:-(1)y=x3-x2cosx+2xsinx+2cosxy'=ddxx3-x2ddxcosx+cosxddxx2+2xddxsinx+sinxddxx+2ddxcosx=3x2-x2...

Q: 5. y = xArctanx - In VI+x

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Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) -1 + - -1

A: Solved below

Q: Which of the following is an improper integral? In(x++1) dr -1 dx -4 x2-x- 2 dx 2x + 8 In3e COsx xe ...

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Q: cos2x- sin2x cos2x dx =-F(x)+C: What is F(x)? For cosx-sinx 1 A (sinx- cosx -3 sinx + -cosx+ cosx+ -...

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Q: 5. y = XArctanx - In Vi+x

A: