O Use the divergence theorem to evaluate F-dS, where F (x, y, z) = zxi – e"j+ 4zk and S is the surface of the region bounded by the paraboloid z = 4 – x2 - y² and the r- y plane.

Q: sin-cos-sine do has the form –-F(0)+C. What should be the value of e to make F(e) =0? 2 The resultin...

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Q: dx Evaluate Зх — 12 A 00 B 00 (c) D) 8

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Q: b -x" +xP + C. What is the value of the sum a + b+d+m+n+p? a d The general antiderivative of (3x2– 4...

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Q: Graph the given piecewise Function

A: We need to graph the given piecewise function.

Q: dx For -= In(F (x))+C. What is F (/3) if C=0? (x+x³) (xtan-1(x) + 1)

A: Let's find. 

Q: b -"+xP +C. What is the value of the sum a+b+d+m+n+p? a d The general antiderivative of (3,2–4)2,2 c...

A: We know that power rule of integration is given as-  Integration of xn is xn+1/n+1.     Here i attac...

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

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Q: What is partial fraction decomposition

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Q: - 1) ? du

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Q: I Find the second derivative (y") of the following functions and simplify the final results. 2sin x-...

A: topic - double derivative of a function

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 bounded by the curve y? 4x and the lines x=1 and x=4.

A: Area bounded by a curve y=f(x) and the lines x=a and x=b is given by, A=∫abf(x)dx  We know, ∫xndx= x...

Q: Which of the following is an improper integral?

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

A: we have to find the anti derivative .

Q: cos2x – sin2x cos2x For dx = - What is F(x)? cosx - sinx O (cscx - secx)3 1 (sinx - cosx sinx + 3 co...

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Q: 2- sec?x)emsec³x sec (3A – x) eln (x/c) What should be the value of A for dx to be integrable using ...

A: To solve the given indefinite integral. 

Q: (2– sec²x) ln (# /e)scc³x sec(3A – x) What should be the value of A for to be integrable using the f...

A: Let's find. 

Q: dx For -= In(F (x))+C. What is F (/3) if C=0? (x+x³) (xtan-(x)+1) -1 + - 3 1 + -1 + -

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Q: 2 Find the area of the region bounded by the curve y2 =4x and the lines x = 1 and x = 4. A. 24 squar...

A: Given y2=4x X=1 and x=4

Q: 8. . x² = 4y and y %3D x2+4

A: As per the guidelines I can solve only first question 

Q: asap

A: We have to choose the correct option according to the given information

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,...

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

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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...

A: d2xdy2=6-9xor,∫(d2xdy2)dx=∫(6-9x)dxor,dxdy=6x-92x2+c1or,∫dxdydx=∫(6x-92x2+c1)dxor,y=3x2-32x3+c1x+c2....

Q: Question 4 The slope of the tangent line at any point (x, y) on a curve is 2. If the point (9, 3) is...

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Q: dx -= In[F(x)]+C. What is F(/3) For (x+x³) (x Tan-lx+ 1) 3. B.

A: We have to choose the correct option according to the given information

Q: What is the answer for this Verify that the function satisfies the three hypotheses of Rolle's theo...

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Q: Use the equation given below to find

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Q: dx - = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + Sl- SI- STE SE

A: I am attaching image so that you understand each and every step.

Q: What is the integrable form of sin-cos-sine de? 2 2 (A) - - B -2 sinu du (D cosu du

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Q: In (xle)secx (2- sec²x) ha sec(3A – x) Ju"du? What should be the value of A for dr to be integrable ...

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question . If you want more to b...

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

A: Definite integration

Q: What is the integrable form of sin-cos-sin0 do? 2 2 (A) 1- u² du B - 2 sinu du u² – 1 du 2 cosu du

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Q: Question 20 Which of the following is an improper integral? In(x4+1) dx -1 In3e COSX dx xe dx -4 x2-...

A: solution

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

A: The antiderivative of f(x), denoted by F(x)F-x=-F(x)∫abfxdx=K, 0<a<b

Q: cos2x – sin2x cos2x dr%3D 3 For -dx =-F(x) + C- What is F(x)? cosx – sinx (sinx – cosx) 2 2 sinx +-c...

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Q: Question 20 Which of the following is an improper integral? In3e A xe CoSx dr -2 In(x++1) dx В -1 -4...

A: We have to find the improper integral

Q: S What is the integrable form of / sin-cos-sino do? 2 2 (A) 1-u? du B) sinu du -2 V u2-1 du O 2 cosu...

A: We have given integral  I=∫sinθ2cosθ2sinθdθ Using formula  sinθ=sinθ2cosθ2 I=12∫sinθsinθdθ As, sin2θ...

Q: 4 dx Evaluate Зх— 12

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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: e* What is the integrable form of dr? ex - e du du 1) 2 du du

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

A: Solved below

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: ind the area bounded by the curve y²=4x, the lines x=1 and x=4.

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Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?, where k is a positi...

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Q: In (r? – 3) + e?-² at the 1. Find an equation of the tangent line to the graph of y = point (2, 1).

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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. Evalu...

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Q: Which of the following is an improper integrai? In3e re ,COSX dr dr 4x2-x- 2 'In(x+ 1) dr dx 2x + 8 ...

A: Solution is given below:

Q: Cost and Revenue functions C(q)=q3−11q2+55q+5000 and R(q)=−3q2+2500q​, what is the minimum marginal​...

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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 pos...

A: We need to find velocity.