I. Evaluate the integral of xy dx from x 0 to x 6 using the parametric equation x = 6 cos 0 and y 2 sin 0 The value of upper limit 0, if the function of 0 is equal to "x" !! 4. A.R В.О C.90 5. The value of lower limit 0, if the function of 0 is equal to "x" in degree form. A.T B.0 C.90 In radian form based on question no. 5. Note: rad = 180° C.90 6. A.n B.O 12 IN D.

Q: (cos) + tan ) d0 (sec® + tan@sec²0) do cos?0 A True B) False

A: Topic = Integration TRUE

Q: 2w²+9w+ 1 - w+4 dw is the same as

A: Here's the solution, please have a look at it: Answer: option c  Approach:

Q: (x +2x+3)(5-x) 10. g(x)= 3x+2

A: We will use u/v formula for derivative to find the required result.

Q: The integral csc(0.5) dx is equal to A 2ln|csc(0.5x) – cot(0.5x)| + C ®2ln/tanh(0.5x)| +C (c) 4tan-l...

A: We have to find the integral

Q: Differentiate. y = eP(p + pVp) y' =

A:

Q: Question 13 The integral csc(0.5) dx is equal to A None of the given choices B2ln|csc(0.5x) + cot(0....

A:

Q: 4. (D² +D-1)² y =0 ,when x= y = 0, y' = y" =1, y" = -1

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

A:

Q: 4. у %3D х6 - Зх4 + 5x2 7 2 4 6 8 5. у %3D (x + 10) (2х - 5) 6. у %3D (x3 + 1) (3x2 - 1) 7. у %3D 5x...

A: We have to find the derivative of the following function

Q: Vx + sinyx Evaluate:

A:

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: Assume that all variables are implicit functions of time t. Find the indicated rate. dx dy x+4y +4y ...

A: The given function,x2+4y2+4y=49; dxdt=2 when x=7 and y=-1

Q: 3x3 -5хе^ + 2хcos(x) Evaluate:

A:

Q: A function F (x) is called an antiderivative of a function f (x), if A F(x) =f (x) BF(x)=f (x) OF(x)...

A: Application of derivative and integration

Q: 2x2 + 2x+1 dx. x+1 Evaluate: e

A: Please see the answer below.

Q: Construct a difference table to predict the next term of the sequence. −1, 3, 21, 58, 119, 209, 333...

A:

Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E) N...

A:

Q: -dx (use 2 decimal places, no space) 5+x Let x = 3.63, and y = 4.58. Determine the value of C when y...

A: we have given∫xx+5dx and also given x=3.63 at y =4.58

Q: 7. x=

A:

Q: sin(t) Find the equation of the tangent line to f(t) = 9 +9 cos(t) at t = 3 (Use symbolic notation a...

A:

Q: S dx 4+e*

A: follow next step

Q: -dx (use 2 decimal places, no space) 5+x Let * = 3.89, and y = 3.07. Determine the value of C when y...

A: We will first evaluate the indefinite integral. Then we will put the value of y = 3.07 when x = 3.89...

Q: If Mesin(2x) dx= eSin(2x) + C_then the M is equal to Blank 1 (use small letter, no spa

A:

Q: | esc2idt = ln|esc21 – cor21| + C csc2tdt (A) True B False

A: We have to find out

Q: x²-x+1 -dx. Evaluate:

A:

Q: 2x2+ 2x+1) In Evaluate: e x+1 dx. 1 + C X+1 (A) X+ (в x2 + In|x + 1| + C None of the given choices ²...

A:

Q: A) None of the given Choices B cost sin(2t) D) sint E sin?t

A: We will solve the integration. 

Q: The curve below is called a serpentine. Find an equation of the tangent line to this curve at the po...

A:

Q: 4. I'e dz 5.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: V. 49+x2 16. F(b) is equal to? 28-7pi A. 7pi-28 B. 4 4. 17. F(a) is equal to? 28-7pi A. 4. 7pi-28 B....

A:

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: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

A: 1) I=∫14-x2dx Let, u=x2, Then, x=2u  and   dx=2du now, the intergal becomes: I=∫14-(2u)22du I=2∫14-4...

Q: (Inºx– 3lnx) +dx A Inx B Inx In'x (D In°x – 3lnx (E) Inºx- 3 (F) None

A:

Q: Vx + sin/x dx. Evaluate: None of the given choices в x- 2cos/x +C 2x+ cos/x + C D x+2cos/x +C 2x- co...

A: Let's find. 

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: A function F (x) is called an antiderivative of a function f (x), if A F (x) =f (x) B F(x) =f '(x) C...

A:

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

A: We have given  y=∫x5+xdx Put 5+x=t dx=dt x=t-5 y=∫t-5tdt y=∫1dt-∫5tdt y=t-5lnt+C Putting value of t ...

Q: 2-x+1 -dx .

A: Please refer attached file for solution below

Q: -1< x< 2 3 Consider the function f(x) = x = 2 4- x 2 < x< 3 |1 x2 3 (a) Sketch f(x). (b) Discuss the...

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Q: Find an equation of the tangent line to the curve at the given point. (Round you y = x3 - 3x, (2, -1...

A: Given query is to find the equation of the tangent line t (2,-1).

Q: Question 4 cose Evaluate the integral: de. V4- sin?e @ sn (ana) -c © -sn* (sin) + c -an (ane) • c No...

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Q: Identify the location and value of any relative maxima or minima of the function. 7) V 2

A:

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

A: Given: dVdt=-500t+1-2 And V=700, t=0 We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And ∫c·fxd...

Q: IX. sin (2x)dx by using walli's formula. a is equal to ? 29. A.0 В.1 C.2 D.pi/2 The definite integra...

A: Let's find. 

Q: Let {an} be a sequence of non-negative numbers. Suppose that the sequence {an} converges to a > 0. S...

A: Let {an} be a sequence of non-negative numbers.

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

A: Explained below 

Q: Which of the following indefinite integrals will result to logarithmic expression? O Stan(sinx)cosx ...

A: topic - integration

Q: Se Ce cos (sin '(x)) COs (sin

A: We need to find the antiderivative of ∫ecossin-1xdv

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

A:

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

A: