(a. f(a)) is a relative extrema of a function f. When xa, f'(a)>0. (a,f(a)) is O maximum point neither a minimum point nor a maximum point minimum point point of inflection

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A: Divergence theorem

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Q: Determine the Wronskian of the following functions: f (x)=x, f,(x)=e*, f (x)=xe* 3 00 O 2x -xe c²e²x…

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Q: 11. 7(t) = (cost, e¹, Int)

A: Given rt=cost,et,lnt We know that dcostdt=-sintdetdt=etdlntdt=1t

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A: Given red cars - 6 silver cars - 11 black cars - 5 total cars - 22

Q: 5 Which of the following is the standard equation of the ellipse with vertices at (1, 0) and (27, 0)…

A: To find the standard equation of the ellipse

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Q: 4. If f(x) = 7x - 3+ In x, then f'(1) = (A) 4 (B) 5 (C) 6 (D) 7 (E) 8

A:

Q: If the vector u has magnitude 2 and direction 320° (relative to the positive x-axis), what is the…

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Q: to demand curve for a certain product is given by p(q) = 541-q^2. The supply curve is given by p(q)…

A: NOTE: Refresh your page if you can't see any equations. . the given demand function is  the given…

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Q: Particle X moves along the positive x-axis so that its position at time t≥ 0 is given by x(t) = 5t³…

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Q: A piece of tissue paper is picked up in gusty wind. The table shows the velocity of the paper at 2…

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Q: Given the following vectors, calculate 5u + 3v. |(7, 0), v = (-8, 10)

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Q: Determine which of the following is the particular solution for the differential equation (D² -…

A: The given differential equation is; (D2-2D+2)y=(-8cos3x+24sin3x)e-x

Q: Find a plane containing the point (1,3,-6) and the line of intersection of the planes 8x - 8y- 5z =…

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Q: Use the first Taylor polynomial for √ at z = 4 to estimate √6. Round your answer to four decimal…

A: using first taylor polynomial for function f(x)=x at x =4  then we have to estimate value of 6   now…

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Q: Show that cos (π-x) = sin X 2

A: Prove; Cos(pi/2 -x)=Sinx.

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Q: 24 of 86 (B) lim f(x) exists. x-3 6 5 4 3 2 1 (C) lim f(x) exists. x-4 1 2 3 4 5 Graph of f 5. The…

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Q: uppose f(x) = 2x² + 8x. Find: The slope of the line tangent to f(x) at x = 2. swer: The…

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Q: Find the area of the region between the curves y = x³ and y = x² + 6x. Area between curves =

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Q: launched straight up in the air from a height of 6 feet. Its velocity (feel/second) t seconds after…

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Q: 2 0 √√2x-x² X √3 dydx 2 [x² + y²

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Q: 구 s2+75+16)

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Q: Find the length of the curve F(t) = (3 cos (3t), 3 sin(3t), 2t) for-9 ≤ t ≤ 5 Give your answer to…

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Q: Consider the function f(x) = 8√x + 5 on the interval [1, 8]. Find the average or mean slope of the…

A: Givenf(x)=8x+5We are required to find the average or mean slope of the function on the interval…

Q: Use Green's Theorem to evaluate √x + 4y, 2x + √ÿ) e fF. dr F = √ √√√x + 4 F. dr, where and C…

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Q: Find the particular solution of a differential equation xdx – 4ydy = 0; y = 2 when x = 5.

A:

Q: t OHaganBooks.com, the rate of net sales (sales minus returns) of The Secret Loves of John O, a…

A: Given rate of net sales = n( t ) n( t ) = 198 + t2 − 0.14t5

Q: How many 4 card hands are possible with a 26-ċard deck?

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Q: Given f(x, y) fz(x, y) = fy(x, y) · = fzz(x, y) = | fzy(x, y) = 2x³ 3x²y² + y^, find

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Q: Use l'Hopital's Rule to evaluate commonly known limits. lim 0 x O lim Use l'Hopital's rule to…

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Q: The Maclaurin series for cosx is ...? O a) 1 + +2 +4 +6 2! 4! 6! ○ b) x - - 6 + .... 21 + 21 − 2 +…

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Q: Find the volume of a right circular cone with height 12 and base radius 6 using integration. V =

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Q: D Question 10 Find the derivative. y = Š O 02 √8x+9 dt √√8x+9 (8x +9)3/2 +9 O√√√x+9+√9

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Q: pose that f is an even function, g is odd, both are integrable on [-7, 7], and we know that S 1…

A: Topic:- application of integration

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Q: The temperature of a room, in degrees Fahrenheit, on a certain day is modeled by the function f…

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Q: Find the inverse of the given matrix. ... O A. The inverse of the given matrix is A-1 = A = 6 6 -1 0…

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Q: Match the general solutions to the differential equations. ✓ (D²+2D+5)y=0 ✓ (D²-6D+10)y=0 ✓…

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Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

A: Given   N (t) = 0.5 + 1.1 e 0.01t The relative rate of change RRC = f’ (t)/f (t). (1.1)(0.01)e0.01t…