Match the function on the left with its antiderivative on the right side Submitted Answers Prompts Choose a match x²+4 2x Choose a match x²+4 Choose a match x2– 4

Q: Find the equation of the tangent f (x) = 4x – 8a at a = 16.

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Q: E. DIFFERENTIATION Obtain the derivative of the following functions: y = Vx² (2x – a²)

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Q: sin³ydy 1+ cosy (A) 1+ cosy B) 1- cosy с) siny D sin3y E) None

A: To find out the correct u to evaluate the integration. 

Q: C -dx(use 2 decimal places, no 5+x Let * = 2.06, and y = 1.32. Determine the value of when you evalu...

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Q: 1. y' = e-" (2x – 4) y(5) = 0 2. dy = by°r y (1) = dz 1 25

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Q: In²( Ine*) dx (А) Inx A B In2x C) Inx2 D Ine* E) None

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Q: Find the derivative of y with respect to t. y = t(In 1t)2

A: The given function,  y=t ln 1t2

Q: Suppose that fis)-\,P(G)=3,965 ond a'5)=8. Find the fllowing voiure

A: We have to find the derivative

Q: A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric (measure...

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Q: Mesin(2x) dx = esint2M + C then the M is equal to Blank 1 If Blank 1 Add your answer

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Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) d (15 sin (x...

A: Explained below 

Q: Name: Find the Dxy by implicit differentiation of the following 2.) x³ +y3=8XY

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Q: Find the limit of f as (x,y)→(0,0) or show that the limit does not exist. 2x f(x,y) = x? +x+y? ... I...

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Q: +1)*eV¯dr A) B (c)

A: We will find the integral. 

Q: evF dr S. A) 2 +1 В 2 +1 (D

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Q: 2w2+9w+1 -dw is the same as w +4 5 dw w+4 A 2w +1+ 2w – 1- 3 dw B w+4 2w +1– 3 dw w+4 67 dw w+4 (D) ...

A: We have to choose the correct answer from the given options according to the given information

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

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Q: S (sin(Inx?)) 3 -dx? Which of the following is equivalent to the integrand of

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Q: -x+1 dx Evaluate: A в 2 +-x 2 2 2,/½.2,½+22+c D 3 E) none of the given choices

A: Solution: ∫x2-x+1xdx

Q: Vミ-2 lim ミー→4 -4

A: Let, L=limz→ 4z-2z-4Rationalize Numerator L=limz→ 4z-2z-4z+2z+2 L=limz→ 4z-4(z-4)(z+2)L=limz→ 41(z+2...

Q: cose Evaluate the integral: de. 4- sin?e -sn (ane) c B None of the given choices © shi (sn)+c e c si...

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Q: sin³ydy 1+cosy

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Q: Given Cost and Revenue functions C(q)=q3−10q2+56q+5000 and R(q)=−3q2+2400q​, what cost is incurred...

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Q: tan( tan3x)dx Evaluate: cos²3x A 3 -In sec(tan3x)| + C B -n|cos( tan3x)| + C In|cos (tan3x)| +C (D D...

A: the given integral,      ∫tan(tan 3x)dxcos23x

Q: xdx 5+ x

A: We will solve the integration. 

Q: The Cunve boelow is colled a serpentine. Fnd n eauotion of the toragnt line to tho cuve ot the pant ...

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Q: 1. dar (12 + 5)? 2. COS r dz 3. sin 3r cos 5x de

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Q: Find the zeros and their multiplicities for f(x) = 2x°+9x* +7x³ 1(multiplicity 1), 7/2 (multiplicity...

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Q: 8x – 16 dx=2 x-2dx г- 2 (А) True в) False

A: The answer is True.

Q: Find the particular solution to the differential equation y' = (6xy)2 that passes through 1, − 1 ...

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Q: Determine the gradient of f(x, y) *sin(4y) at (x, y) = ( – 2, 3). Round to 2 decimal places. V f( – ...

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Q: value of c in the equation: dV/dt = -500 (t+1)-2, when  V=700and t=0 is

A: follow next step

Q: If two functions F and G are both antiderivative of the function f then F(x) = G(x). A True B) False

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Q: Obtain a differential equation by eliminating the arbitrary constant m of: y=m A (V)² + xy' +y = 0 B...

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Q: オーe-2r 12+e-2r x²+e-2r -2(x-e2) -dx x-+e de -2y, None

A: The given integral is; (x-e-2x)/(x2+e-2x).

Q: sin In 4+tan cos-dx 4+tan-Icos- 2 1+ cos 2sin In4 4+ tan cos- dx A 1+cos 4+ tan-cos- 2sin-In 4+ tan-...

A: To rewrite the given integral so that the integral can be evaluated easily. ∫sin x2ln24+tan-1cosx2dx...

Q: dx 5+ x2 хах 5+ x2 5+ x2

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Q: Question 2 The coefficient of Sec(x) when J (tan(x) – sec(x))-dx was evaluated is Blank 1 (use numbe...

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Q: Find the correct u and du then find the equivalent.

A: All option given is in terms of x only but i correct for variable u and t. 

Q: Question 16 Evaluate: [Vx + sin/ dx. A None of the given choices 2x+ cos/x B + C 2 © x+2cosx + C D x...

A: As we know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And ∫a·fxdx=a·∫fxdx, where a is the constant.   ...

Q: Question 12 2x2 + 2x+1 dx. x+1 Evaluate: e x² +x +1 A x+1 n|x+1| +C e 1 В x+ + C X+1 * + In|x+1| + C...

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Q: x-x+1 dx Evaluate: 2,2_ 2,½-224C A 3 B 2 2 D 5 3 E none of the given choices

A: We have to find solution

Q: S dx 4+e*

A: follow next step

Q: dx In then the integrand is the same as 4e +1 4+e A) True B) False

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Q: Which of the following differential equations can be solved by separation of variables? A (x²y² + x)...

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Q: 3x4– 5xe* +2xcos(x) Evaluate: -dx A x3 - 5e* +2sin(x) + C В х3 - 5e*- 2sin(x) + С 3x4 5ex + 2sin(x) ...

A: The given integral is; [3x4-5xex+2xcos(x)]/x.

Q: Evaluate the integral: - S- de. 4- sin?e cose A None of the given choices ® sin-(ino) +c B Sin-1 © -...

A: The objective is to evaluate the integral.

Q: In the integral, cos?tsin2tdt , the correct u using general power formula is;

A: Here,              We have given a definite integration               now we have to solve this by u...

Q: Let u and v be functions of x. Then J (u-v)dx is equal to ux – vx +C dx

A: Topic-:- integration

Q: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coeffi...

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