integral

Q: Consider the following function. f(x) = x3 - 3x2 – 9x + 5 Find the first and second derivatives.…

A: Since, you have posted question with multi-parts. As per guidelines, we"ll solve only first three…

Q: Integrate

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Q: 1. The angles of a quadrilateral are in the ratio 2:4:5:7. Find all the angles.

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Q: What change of variables is suggested by an integral containing * Vx² – 4? O a cosø O none of the…

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Q: Let A = (1, 0, 2) and B = (6, -2, 3). Find projaB.

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Q: 4. y²tan y

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Q: |(x+3)°(x+b)d dx is In 3x2 +8x– 12 The resulting integral of + C, where a, b, d, and e are integers.…

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Q: In how many ways can the digits in the number 8,400,000 be arranged? ways (Type a whole number.)

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Q: Find the first partial derivatives of the function. x5 - y5 x° + y f(x, у)

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Q: sin- dx 32 cos:주-Scos)+기+ c 35 32 + C COS 7 4 32 32 .coss(수)+C 32 cosS 4 35 Ssin +2 +c

A: The correct option is (3).

Q: If you are going to evaluate the integral f cos x v9 + 25sin-x dx using trigonometric substitution,…

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Q: 2x+11 3. 1 dx, evaluate Consider 3 x² + x – 6 = xp dx X+3 X- 2 X+3 X-2 |(x- 2)° +C In x+3 x-2 In +C…

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Q: _12. What is the maximum directional derivative Daf of the function f(x,y,z) = x – y² + z² at the…

A: Let's find.

Q: usider (x. Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

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Q: 2х — 1 - dx 6х + 18 x² -

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Q: For what values of a and b is the following function continuous at every x? - 10 XS-3 f(x) = < ax-b…

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Q: Consider the following parametric equations. a = t + 5t y = -3t2 + 1 - 2 <t<2 a) Find four unique…

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Q: Using Integration By Parts, x3 x2 +4 dx = uv- - Sv du

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Q: y" + 4y' = cos(t – 3) + 4t, y(3) = 0, y'(3) = 7

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Q: What are the polar coordinates of the point Q shown below? 1 2 3 4 5

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Q: By about how much will g(x,y,z) = x + x cos z -y sin z + y change if the point P(x,y,z) moves from…

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Q: 3x2 + 7x + 28 dx x2 + x3 + 7x Using partial fraction, evaluate

A: We know that integration power rule is  Integration of xn is xn+1/n+1.   Here i attached the…

Q: Find the derivative of the function. 5 + 6x - 4/x y% =

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Q: ind the area and the circumference of a circle with diameter 6 m. Ise the value 3.14 for a, and do…

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Q: Using Trigonometric Substitution  ∫ dx/ (x^2+x+1)^(3/2) find f theta

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Q: Find the tangent to y = x-x+10 at x 3.

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Q: dh _10. A cylindrical piston with fixed radius r = 3 cm is being compressed so that How h =- dt fast…

A: Given

Q: 4. Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {3, 4, 5, 6, 7}, B = {all multiples of 3} and C =…

A: U=1,2,3,4,5,6,7,8,9A=3,4,5,6,7B=all multiples of 3C=all multiples of 2

Q: 4. sin2 -x | dx. Use trigonometric groups. 2 X| cos

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Q: x² + 2x- 10 (2 dx = x² (x² + 4x + 5) (2x + 4) + 1) (2x+ 4) +1) x2 + 4x + 5 x2 2 Consider dx -…

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) =…

A: Given problem:- Does the function satisfy the hypotheses of the Mean Value Theorem on the given…

Q: x² –9 2. dx. Use trigonometric Substitution. .3

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Q: Using Integration By Parts, x sec - x tan x dx = %3D

A: Use integration by parts.

Q: 4. Given [2r + 5], 4- 2x 1² – 2x' if r < -1 f(x) = if –1<x< 2. sin(r – 2) 2 if r 22 a. Discuss the…

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Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = In(x2 + 3x…

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

Q: x² + x +2 Evaluate x2 - 1 x+1 +C (x- 1)2 (x- 1)2 In- + C x+1 x+1 X+ In- +C (x-1)2 (x- 1)2 x + In- X…

A: Given problem:-

Q: 3x2 + 7x + 28 A f(x) Using partial fraction, evaluate x3 + x2 + 7x dX, the decomposed fraction is x2…

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Q: The result of dx IS F(b) – F(a), where Fla) and F(b) are real numbers. What is the value of F(b)?…

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Q: If you are going to evaluate the integral f dx using trigonometric substitution, the answer is 2(tan…

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Q: are

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Q: Suppose that f(x) is a differentiable function satisfying the table below. 0 2 f(x) | 1| 2 | 12 | 7…

A: The objective of the question is showing that there exist at least one x=c for which f'(c)=5.

Q: Tutorial Exercise A population of a particular yeast cell develops with a constant relative growth…

A: Let's find.

Q: Find an equation of the tangent plane to the given parametric surface at the specified point. r(u,…

A: We have to find the equation of tangent plane

Q: AY Deternine the elative maxina and relative Minima, If any.

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Q: If i x w = i- j+ k, and i · w = 4, and 0 is the angle between i and w, 2 - (a) tan 0 = (b) 0 =

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Q: 1 -x dx = u v- Sx sec xtan Svau Using Integration By Parts, Find UV- X sec ec- x dx 1 1. x sec 1.…

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Q: Find the area of this parallelogram. Be sure to include the correct unit in your answer. cm 8 cm 10…

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Q: The part of the sphere x? + y? + z? = 16that lies between the planes z = -2 and z = 2. (Enter your…

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Q: s2x²-x²+ x+2 A dx find A + B+C+D• X +1 Consider dx = x4 + x3 3. 2 4 O O o o

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Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = | f(u) du where g(x) =u, to evaluate the…

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