The antiderivative of fix), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property R-x) = -F(x). If s(x) dr=K, 0

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

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

A: We have to find F(x) 

Q: et What is the integrable form of dx? e

A: Here, the given integral is: I=∫exex-e-xdx=∫exex-1exdx=∫e2xe2x-1dx=∫exdxe2x-1

Q: Solve the given system by elimination method. 5x+2y+4z=0 2x-y-2z=0 5x+3y+6z=0 Is the linear system h...

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Q: Which of the following integrals is equal to (3x-5) dr if u=3x-7? (A (u+2) du 8/3 -2 -1 / (u-2) du 3...

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Q: Find the equation of the curve for which = 6- 9x and which passes through the points (0, –1) and (2,...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the c...

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Q: Which of the following integrals is equal to the integral / f(3x– 5) dr? f(2) dz 3 B dz 7/3 © "(e) d...

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

A: To evaluate the integral ,use the following trigonometric formulas.

Q: 3) Determine the value of k such that when f(x) = x* – 3x+ kx² + 2 is divided by x – 2, the remainde...

A: Solution: As per our guidelines we are supposed to answer only? One question ( if there are multiple...

Q: 5. If F(x) is an antiderivative of x2 +x', then what is the value of F(1) - F(-1)? А. 3 В. О С. -1 D...

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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: If the brakes on a car can give the car a constant negative acceleration of 2k m/62 , where k is a p...

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Q: Find the area of the region bounded by the curve y=1- x? and the x-axis. 9. 8 square units 6 square ...

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Q: Question 6 The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) ...

A: Note that, the slope of the curve y=f(x) is given by: dydx Now, given that the slope is 2x. So, dydx...

Q: cos2x – sin2x cos2x For What is F(x)? -dx=-F 3 +C cosx – sinx (sinx – cosx) 2 2 sinx + -cos'x + cosx...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

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Q: sin-cos-sine de has the form --F(0). 2 The resulting integral of +C. What should be the value of e t...

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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: the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a positive ...

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Q: cos2r – sin2x cos2r For -dr=-F(x)+C_What is F(x)? cosx – sinx 2 sinx + -cosx +cosx+ =sin³x 3 3 O (cs...

A: We know that,  Int(sinx)=cost Int(cosx)=-sinx

Q: d?y - =6-9x dx 2 Find the equation of the curve for which and which passes through the points (0, -1...

A: To find the curve satisfying the conditions

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

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Q: Question 13 b x"+x"+C. What is the value of the sum a +b+d+m+n+p? a The general antiderivative of (3...

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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: dx Evaluate Зх- 12 A - C) 8. B.

A:   The given integral is ∫14dx3x-12.   Compute the integral ∫dx3x-12 as follows. ∫dx3x-12=∫dx3(x-4)  ...

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

A: Given problem is :

Q: [(2- sec?r) sec(3A – x) e In (a le) sec³x -dx to be integrable using the formula ? и"du What should ...

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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...

A: Here is the solution

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

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

A: An improper integral can be termed as a definite integral that has either or both limits infinite or...

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

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

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Q: Given matrices A = =, l, compute 2A + B. and B

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

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Q: a -xP+C. What is the value of The general antiderivative of (3x²-4) 2x2 can be written as -x m the s...

A: We have to find the value a+b+d+m+n+p

Q: d²y =6- 9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation of the curv...

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Q: d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve for...

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Q: If F (x) is an antiderivative of x-2+x-1, then what is the value of F(1) – F (– 1)? 3 -1 -2

A: Given the antiderivative, to find the value of given expression.

Q: dx For - = In[F(x)]+C•What is F(/3) if C = 0? (1+x;_u®_L x)(;x+x) 6. + + -15

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Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/g2 , where k is a p...

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Q: cos2x – sin2x cos2x x=-F(x)+c•What is F(x)? For = - sinr

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Q: 9. cosr - e sinxe sinx +x The integral dr may be written as me"sinx + px + qe™+C, where m, n, P, q, ...

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Q: The general antiderivative of (3x2-4)2x2 can be written as What is the value of the sum of a+b+d+m +...

A: Given :   (3x2-4)2x2

Q: What is the integrable form of dr? 1 -1) du -u?) 2 du 2022-01..

A: Find the integrable form by substitution method

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: Question 2 If F(x) is an antiderivative of x2 +x, then what is the value of F(1) - F(-1)?

A: Here, given that  F(x)=∫(x2+x-1)dx=∫x2dx+∫1xdx=x33+ln |x|

Q: If F(x) is an antiderivative of x2 + x1, then what is the value of F(1) - F(-1)? -2

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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. Ev...

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