Activity 1: Determine the number at which the function 1 is not satisfied. x2+x-6 if x # -3 1. f(x) = %3D x+3 1 if x = -3 x²-3x-4 if x # 4 2. f(x) = x-4 if x = 4 if x 4 3. g(x) = {x-4 if x = 4 2.

Q: If u <0, then -in (-u) +C u (A) True B False

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Q: Consider the following function. f(x) = 2x2 – 6x Find the limit. f (x + Ax) – f (x) lim Ar+0 Ar

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Q: Research five'examples of the use of extreme value theorem in real life. Write your answers on a sep...

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

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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: - ydx + (x++ xy )dy = 0

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Q: Determine the solution of an initial value problem; 2e cos2x dx + (e'sin2x+3y sec?y2) dy=0 y =0 2e's...

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Q: Evaluate: J(3x+ 1)°dx - Blank 1 (use small letter, no space) Blank 1 Add your answer

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

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Q: dx 4+e A 4+e B 4e*+1 E None Question 12 sin'ydy 1+ cosy A 1+cosy B 1- cosy siny sin3y

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Q: xdx 5+ x

A: We will solve the integration. 

Q: The coefficient of sec(x) when (tan(x) – sec(x))²dx was evaluated is Blank 1 (use number, no space)

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Q: Determine whether each of the following functions is (a) continuos (b) differentiable. Show complete...

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Q: tan ( tan3x) dx Evaluate: cos?3x

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Q: 2w2+9w+1 dw is the same as w+4 2w +1+ dw w+4 B w+4 Mp MP 67 2w +17- W+ 4 None

A: We want to find correct answer from the given options. 

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

A: We have to find the derivative

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: (x+2)2 dx (x+2)3 +C (A + 2x+4 In x +C +4x +4 In x + C (x+2)3 D -In x +C 3. B.

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Q: Suppose that over a certain region of space the electrical potential V is given by the following equ...

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Q: If f(x)dx=cot x² +C , then f (x) is equal to A -2cscx? B -2xcsc?x? © In/cscx²| D O In/sinx²|

A: We have to choose correct option for value of f(x)

Q: tan an Evaluate: 1+2512

A: Follow the procedure given below.

Q: In(/5+ x?) +c Match the integral expression on the left with its appropriate value. Prompts Submitte...

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

A: Explained below 

Q: The antiderivative of Cos(3x)

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Q: (3x3 - 5xex + 2xcos(x) te:

A: Given query is to find the value of the integral.

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

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Q: (x² +2x+3)(5-x 10. g(x)= 3x+2

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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: 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: company's profits if marginal profit is​ $0

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Q: 4 x2 + 4

A: We have to find out the antiderivative

Q: | esc2tdt = In|csc2t – cot21| + C A) True B) False

A: To find out that the given integration is true or false.

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: sin- In2| 4+ tan¬'cos- dx 2 2 1+ cos- |4+ tan-'cos= 2 2sin- In2| 4+ tan-'cos- |dx 2 2 A 1+ cos2 |4+t...

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Q: 4 x² + 4

A: Follow the procedure given below.

Q: 1. Evaluate the integral

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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....

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Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), an...

A: Explained below 

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: If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x). %3D %...

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Q: O-26429052 2n (41) +1+(+り

A: We will use log function to evaluate the values of n.

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...

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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: du - = In ( – u) +C If u<0, then u A True B False Question 2 8x – 16dx=2 x– 2 dx A True B) False

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Q: Given f(x, y) = 4e* sin(3y) then V f(0, n) = (0.057 |-19.81

A: Given:- f(x, y) =4e3x sin(3y)  To find:- ∇f(0, π) 

Q: A graphing calculator is recommended. x² - 1 Let f(x) = x2 + 1 (a) Find f'(x) and f"(x). f'(x) = f"(...

A: Here, the given function is: f(x)=x2-1x2+1

Q: The integral csc(0.5) dx is equal to Sco A None of the given choices B 4tan¬le0.5x + C © 21n|csc(0.5...

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: Given that, There are two statement following, 1st : xsiny' = (x2 + 1)(y''')4 is a 4th degree ODE. 2...

Q: メナー Aト 2.

A: Let's find.