Choose among the following tests ONLY: integral, comparison, and limit comparison to determine if the series below is convergent or divergent.

Q: dx may be written as Aln secB* + tanB+C cos10* value of where A, B, and C are constants not eq +C• e...

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Q: 6 ]anc Given matrices A = 2 compute 2A + B. -2

A: In matrix addition, the addition of two matrices by adding the corresponding entries together. 

Q: Show that the vector field A (3x?z + y?)a,+ 2xya, + x³a, is conservative. %3D

A: Given problem:- Show that the vector field A = (3x²z+ y²)ax + 2xyay + x³az is conservative. =

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

A: First I have used the substitution and make integral easy and then solved it .Comparing the original...

Q: 7. y = tan e3x + etan3x

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Q: cos2x – sin2.x cos2x - dx = -F(x)+C. What is F(x)? 3 For cosx – sinx 1 (A (sinx – cosx osx) - B sinx...

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Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

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Q: b -x" + -xP +C. What a d heral antiderivative of (3x2 - 4) 2x2 can be written as m m

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Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?, where k is a positi...

A: The given question has been solved in detail. 

Q: Find the area of the region bounded by the curve y2-4x and the lines x = 1 and x = 4. O 21/2 square ...

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

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Q: r cos2r-sin2r cos2r de=F(+)+c• What is Fw For cosr - sinx sinx +-cos'x+ cosr +sin'x 3 3 (sinx - cosr...

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Q: What is the equation of the circle that passes through points (2, 3), (6, 1), (4, –3)? x? – y? – 6x ...

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Q: cos2x – sin2x cos2x F(x) +C. What is F(M)? For dx%3D cosx – sinx 3

A: A detailed solution is given below

Q: dx - = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + Sl- SI- STE SE

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

Q: 4) 98)=(40*– Bu) 5 %3D -

A: Given that      g(u) = (4u7- 8u)-5

Q: dx Evaluate Зх — 12 A 1 00 | C) D + 00

A: Here we have to evaluate the value of       ∫14 dx/(3x-12) 

Q: ·sec-x)" sec'x 23. What should be the value of A for -dx to be integrable using the formula | u" du?...

A: the integration of the integral is (2-sec2x) eln(pi/e)sec3x/Sec(3A-x).

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

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Q: C2- rec2,)e ln (a le) recr

A: We have to find the value of A according to the given information

Q: sin-cos-sine de has the form 4 (0) +c. The resulting integral of +C. What should be the value of A t...

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Q: What type of solution(s) would you get from the equation below? 2x2 + 6x – 1 = 0 O 2 real solutions ...

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Q: Differentiate y = 4sin (x) + 11x and evaluate y (0). Enter the value y (0) in the box and upload you...

A: topic - derivative of a function

Q: For /- (x+x³) (x Tan-lx+1) dx = In[F(x)]+C• What is f(/3) if C = 0? -1 3 -1 + + + -15-15-15

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Q: Find the area of the region bounded by the curve y2 = 4x and the lines x = 1 and x = 4

A: We  re asked to find the area of the region.

Q: Question 8 d'y =6-9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation o...

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Q: dx -= In[F(x)]+ C. What is F(/3) if C = 0? For (x+x3) (x Tan-!x+1) -1 (A 3 3 B (c) + - 6. 1 D + -15

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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: 1. Given: y = 2x - Find: a.) dy/dx b.) y"

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Q: CHAIN RULE DERIVATIVES 5.).968)= (7-6W)" %3D 6. 120° (70 +2)" 7) g(x) = 13 bc 5o+ 4c+ 9 }

A: As per bartleby guidelines we only give first question answers. 

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 integral of (10*/ cos 10*)dx may be written as A In | sec B* + tan B* |+C.Where A, B, and C are ...

A: Topic = Integration

Q: The integral of the function below may be written as men sin(x) + px + qe"* + C. Where m, n, p, q,r ...

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Q: Find the diameter of the of the circle with center at (-5, 3) and tangent to the line 8 – 2x = 2. 2 ...

A: Solution: center (h,k) = (-5,3) tangent to the line x-axis 8-2x=2 so, x= 3 &y=0 (3,0)

Q: If FX) is an antiderivative of x2 +x', then what is the value of F(1) - R-1)3 (A) -2 B) -1 (c) o D) ...

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Q: What is the integrable form of et dr? ex – e -x [(1-u²) ² du O Swi-) - 1) 2 du (1- " (D 2 du

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Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

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Q: 2744 A computer is purchased for $2744. Its value in dollars after t years can be approximated by V(...

A: We will solve the first part of the problem bu putting t=3. And for second part we will derivate the...

Q: In (a le) (2- sec2x)m sec'x sec ( 3A – x) What should be the value of A for dr to be integrable usin...

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Q: S What is the integrable form of / sin-cos-sino do? 2 2 (A) 1-u? du B) sinu du -2 V u2-1 du O 2 cosu...

A: We have given integral  I=∫sinθ2cosθ2sinθdθ Using formula  sinθ=sinθ2cosθ2 I=12∫sinθsinθdθ As, sin2θ...

Q: m m n т +n b. E k i) k - i=0

A: Please see the below picture for detailed solution. 

Q: The antiderivative of f(x), denoted by Ax), exhibits an odd symmetry i.e., it satisfies the property...

A: We will solve this problem in some steps

Q: The antiderivative of ƒ (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies the proper...

A: Given Problem is solved in attachment.

Q: sin-cos-sino do? 2 2 What is the integrable form of

A: Given that,

Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where is a positive...

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

A: We have to choose the correct option according to the given

Q: Which of the following integrals is equal to the integral s(2) dz 7/3 s(2) dz 7/3 I s(:) dz 2 -2

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Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/2 , where k is a po...

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Q: vas y dS

A: Use simple integration formula.

Q: dx Evaluate 3x – 12 O 1 O + 00 8

A: To evaluate the integral.