Consider the function f (x,y) = x³ – 3xy + y³. Find all critical points of f and determine whether there is relative minimum, relative maximum, or saddle point at each critical point.

Q: 5. If F(x) is an antiderivative of x2 +x', then what is the value of F(1) - F(-1)? А. 3 В. О С. -1 D...

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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: Question 13 d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of t...

A: To find the equation of the curve satisfying the given conditions .

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

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

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A: Given query is to find the value of speed 

Q: and the 24. Find the area of the region bounded by the curve y=1- 9. X-аxis. A. 6 square units В. о ...

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Q: cos2x – sin2x cos2x F(x) +C. What is F(M)? For dx%3D cosx – sinx 3

A: A detailed solution is given below

Q: Given Cost and Revenue functions C(q)=q3−8q2+52q+5000 and R(q)=−3q2+2500q​, what quantity minimizes ...

A: Minimize marginal cost

Q: dx Evaluate 3x – 12 O 1 + 00 8 8

A: Solution is here

Q: If FX) is an antiderivative of x2 +x', then what is the value of F(1) - R-1)3 (A) -2 B) -1 (c) o D) ...

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Q: What is the integrable form of sin-cos- sin0 do?

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: Which of the following is an improper integral? In(x4+1) dx dx x2-x- 2 dx 2x+ 8 2 In3e COSX dx xe -2

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Q: Given matrices A = =, l, compute 2A + B. and B

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Q: What is the integrable form of sin e) de? sin (A du 2 cos(u)du (©) -2 © -2/sin(u) du D) | - u² du

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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

A: We  re asked to find the area of the region.

Q: Which of the following integrals is equal to the integral / s(3x- 5) dr? S' f(2) dz (2) dz 7/3 s(2) ...

A: By method of substitution, we need to evaluate :  

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

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Q: sin-cos-sino d®? 2 2 What is the integrable form of 2- 1 du B 2 | cosu du 1-u² du O -2/- D sinu du A

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Q: Solve the given system by elimination method. 5x+2y+4z=0 2x-y-2z=0 5x+3y+6z=0 Is the linear system h...

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Q: If F (x) is an antiderivative of x-2+x-1, then what is the value of F(1) – F (– 1)? 3 -1 -2

A: Given the antiderivative, to find the value of given expression.

Q: Question 2 If F(x) is an antiderivative of x2 +x, then what is the value of F(1) - F(-1)?

A: Here, given that  F(x)=∫(x2+x-1)dx=∫x2dx+∫1xdx=x33+ln |x|

Q: dx Evaluate Зх — 12

A: Solution:

Q: dx - = In[F(x)]+C. What is F(/3) if C= 0? For (x+x³) (x Tan-'x+ 1) A B 3 c) 6 D) 3 + + -15

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Q: cost

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Q: Consider the following. + 7x y = 2

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Q: 1280 Consider the function f(x) = 5x + on the interval [6, 17]. Find the absolute extrema for the fu...

A: solution is given below...

Q: dx = In[F(x)]+C. What is F( /3) if C = 0? For (x+x³)(x Tan-!x+1) 1 (A 1 (B 6. 1 V3 1 D + -15

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Q: What is the integrable form of sin-cos-sino de? 2 (A -2 | sinu du B / Ju?- 1 du 2 /1-u² du D cosu du

A: To find out the correct integrable form. 

Q: In the city of Los Angeles, California, it is now to be said that it is the city with the most mosqu...

A: The population of mosquitoes in Los Angeles is given by, P(t)=33t3+15t2+6 t is in months and P is in...

Q: 10* -dx may be written as A lnl secR+ tan R+ C, where A, B, and C are constants not equal to zero. E...

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

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Q: Question 5 d?y dr 2 =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation...

A: We have to find the curve

Q: 18. Which of the following integrals is equal to the integral s(3x-5) dr? 3ו7. A. 2 |dz 3 В. -2 f(2)...

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Q: Find the area of the region bounded by the curve y^2 = 4x and the lines x = 1 and x = 4.

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Q: c) 20

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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: 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: Which of the following is an improper integral?

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Q: What is the integrable form of dr? 1 -1) du -u?) 2 du 2022-01..

A: Find the integrable form by substitution method

Q: uestion 13 d +=x² +C. n P a b ze general antiderivative of (3x²-4)²x² can be written as m hat is the...

A: We are asked to find the antiderivative of the general.

Q: Given matrices A = 5 , compute 2A + B. and B %3D

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Q: 4-z4 Find dz where I is a circle z-2=5. (z-4) 4 - 96 Tti - 32 T 32 Ti 96 Ti A Moving to another ques...

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Q: Diberi persamaan parametrik bagi satu lengkuk adalah The parametric equations of a curve are x = In ...

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

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Q: 7. y = tan e3x + etan3x

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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: Follow step 2nd . 

Q: What is the integrable form of dr? ex – e -* e u²) 2 du 2 du du

A: We have to find the integral

Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: To evaluate the integrals using the formulas for area of triangle and circles. 

Q: sias The integral cost -e de may be written as me' +px+ ge" +C• where m, n, p, q. r, and C are const...

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