Sx-² csc³ () cot () dx A) csc* (?) + c B) – ; csc° (*) + c c)금 csc* (2) + C D) – csc* () + c - 12 E) - csc* (2) + C

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

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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: 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: cos2x- sin2x cos2x F(x)+C: What is Fx)? For dr = - 3 cosx - sinx

A: A detailed solution is given below

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

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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 ...

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Q: 10* dx may be written as Aln secB+ tanB*+ C. where A, B, and C are constants cos10 not equal to zero...

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

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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: cos-sin0 d0 has the form –-F(0). 2 2 The resulting integral of sin- +C. What should be the value of ...

A:      ∫sinθ2cosθ2sinθdθ=∫12sinθ sinθdθ=∫12sin2θdθ=12·∫1-cos2θ2dθ=12·12·∫ 1-cos2θdθ=12·12∫ 1dθ-∫cos2θd...

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

A: ∫(3x2-4)2x2dx=∫(9x6-24x4+16x2)dx                             =97x7-245x5+163x3+c

Q: Given cost and price​ (demand) functions C(q)=120q+43,000 and p(q)=−1.9q+850​, how many items must b...

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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: 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: (2- sec?x) " sec(3А — х) e In (a le) sec3x -dx to be integrable using What should be the value of A ...

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

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

A: Given,            Fx is an antiderivative of x-2+x-1.To find : The value of F1-F-1.We know that,    ...

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

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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.

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Q: What is the integrable form of sin-cos-sin0 de 2 2 du 2 1– u² du cosu du -2 sinu du

A: To write the integrable form.

Q: Find the dimensions of a rectangular lot with perimeter of 300m and whose area is maximum. Use Opti...

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Q: cos2r – sin2x cos2x For -dr=-F(x)+C What is F(x)? cosx – sinx 3 2 sinx + -cos'x+ cosx+ =sin³x 3 3 2 ...

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Q: 1) Which set of values for x should be tested to determine the possible zeros of the function f (x) ...

A: We need to find possible x values that needs to be checked where function is zero.   NOTE - As per B...

Q: For the given function, find all values of c over the interval (,50) stipulated by Rolle's Theorem s...

A: We have to find the following given conditions according to the given information

Q: (2-sec?x) lnae sec(3A -x) sec'x dr to be integrable using the formula What should be the value of A ...

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

A: SOLUTION-

Q: et What is the integrable form of dx? e* - e -X A) du B) du (c) и?—1) 2 du D [(1-u?) du

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

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Q: Solve the initial value problems. 2. 2y" – 9y' + 9y = e3* y(0) = 0, y'(0) = - 8

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Q: dr = b(cos Odr +r sin Ode) Ans. r = c(1-bcos 0)

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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: The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies the * prop...

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Q: [(2-sec²x) elnate sec³x dr What should be the value of A for to be integrable using the formula 'du ...

A: Let's find. 

Q: Which of the following is an improper integral? In3e A cOSx dx xe (B n(x++1) dx dx 2x + 8 D dx x² - ...

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

A: Using cos(2x) =cos2 (x) - sin2 (x) 

Q: 19 (a) Solve In(2r)-3 In(z) 0 for r. (b) Use the following table to find the value of z from 7a-2- 1...

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Q: Find the equation of the circle with center at (3, -7) and diameter equal to 4 points 8 units. * x? ...

A: standard form of circle

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

A: Given,            The slope of the tangent line at any point x,y on a curve is 2x.            The po...

Q: For S dx -=In(F (x))+C. What is F (/3) if C=0? (*+**) (xtan-(x) +1) A - 6. B 3. D 3.

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Q: cost

A: Please refer to the image below

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

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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: 2x 5х-3 + 3x 12 2. 4x2 – 16 > 0 (-0, 2], [2, c∞0)

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Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

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Q: 2. A pharmaceutical company is testing a new drug. After a person takes Ao mg of the drug, the amoun...

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

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Q: Given revenue and cost functions R(q)=90q−0.3q2 and C(q)=14q+550​, find the marginal profit at a qua...

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