/9– x² using Trigonometric Substitution what is dx ? onsider x2 3 sec e de P 3 cos e de O 3 sec e tan e de 3 sec? Ө de

Q: Fird the area lounded by the curve: a) y=X ° and y =2x+3 aJCurve accurately drown with immportant…

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Q: 1. Determine the absolute extrema of f(x) = (sin r – 1) cos r on 2 2 if they exist, and identify the…

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Q: S2x². uv- Svau Using Integration By Parts, dx = uv- uv- Jva Find du

A: Our Aim is to solve the integral given below using integration by parts∫2x2e13x -(i)

Q: Strontiun1-90 nas d nall-lire of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for…

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Q: Evaluate S. F dr where F(x, y, z) = e'i+ (xe + e²) j+ye²k and C is the line segment from (0, 2, 0)…

A: answer is in next step

Q: S(3x2 + 4x – 5) dx

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

Q: O Yes, Rolle's Theorem can be applied. O No, becausef is not continuous on the closed interval (a,…

A: Given query is to find rolle's theorem can be applied or not.

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

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Q: ;dx

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

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim +00\ 5t2 + 6' 6t (?, ?)…

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Q: Given (x + 4)(x – 2) f(x) = x2 —2(х — 8) - f'(x) = x3 4(х — 12) f"(x): - x4 (a) Find the domain of…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

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

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Q: Find the largest open intervals where the function is concave upward. 16) f(x) = x3 - 3x2 – 4x + 5…

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Q: 48. f(x) = (x – 4)(x² + 6x – 1), (0, 4)

A: We need to find the equation of tangent line for fx=x-4x2+6x-1 at point  0, 4

Q: Give the parametric equation of the line that passes through the point (−4, 3, −5) and is…

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Q: Find the absolute extrema of the function on the closed interval. h(s) = [0, 2] %3D s- 3 minimum (s,…

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Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y? - 8x + 16…

A: Follow the procedure given below.

Q: Find the two x-intercepts of the function f and show that f'(x) =0 at some point between the two…

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Q: Using Integration By Parts, x3 V x² +4 dx = u v- -[vdu Find UV-

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Q: Using Integration By Parts, Vx In 2x dx =uv- -Svdu Jv du Find UV- du O 2 늘 xVX In 2x-| Vx dx Xx In…

A: A detailed solution is given below

Q: 1 Sxsec - Svdu- Using Integration By Parts, >x tan x- u v- Find UV-

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Q: Describe the graph of the equation. r = 9cos ti – 19sin t j + k O An ellipse in the plane z = 1,…

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Q: | x(5*)dx x(5*) In 5 + C (In 5)? x(5") In 5 5* + C (In 5)² O A x(5*) In 5 + C In 25 x(5*) In 5 + C…

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Q: dx %3D = 7 in the expression for ap and simplify. Substitute dt dt x + 5sin 5x(cos 5x) dx dD dt Vx +…

A: Here we have to substitute the given derivative.

Q: A Hippogriff is a magical beast that had the front legs, wings, and head of a giant eagle and the…

A: answer is in next step

Q: Evaluate the integral cot5 x csc3x dx O Lesc" x - ese" x + cse" x - c 2 csc' x + 5 글csc3 x + C 1 X +…

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Q: The position of a particle in the xy-plane t time t is r(t) = (e') i+ i. Find an equation in x and y…

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Q: A curve is given implicitly by the following equation .2 (x + y)² + x²y = 11 Find the slope of the…

A: Given the equation of the curve is  x+y2 + x2y = 11

Q: An equation for the level curve is (Type an equation.)

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Q: Given the point (-10, ) in polar coordinates, what are the Cartesian coordinates of the point?…

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Q: *(5t² – 3t=3) dt

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Q: S, 3x²e* dx .2

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Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x + y 12xy -…

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Q: Determine whether the Mean Value Theorem can be applied to f on the dosed interval [a, b). (Select…

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Q: 00 n8" Use the ratio test to determine whether>. converges or diverges. (n + 1)! n=7 (a) Find the…

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Q: Given /V -x²+4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? (A…

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Q: S° g(t) dt

A: From the figure, we know the following. ∫010g(t)dt=Area of the semi circle - Area of the triangle…

Q: Consider J sin'x cos²x dx. If we let "=cos x , the integrand can be transformed to. A 2u2 - - | (u²-…

A: The given integral,     ∫sin5x cos2x dx

Q: Evaluate the definite integral. NOTE: Enter the ecact answer. 13 ti+t°j dt

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Q: Vx2 + 4x - 5 dx = Using Trigonometric Substitution f(e)dA find the new limits of integration. 1. x+2…

A: Let's find.

Q: YA Y= 5X-x² 2. (4,4) Y= x Find the Alea Of the shaded hegion

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Q: 18) From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides…

A: let "x" be the height of square corners which are cut outso, Box has length =40-2x, width =40-2x ,…

Q: 2x3- x² + x + 2 D dx X +1 C Consider find A+B+C+D x4 + x3 y3 4 O 2 O 5

A: We can solve as follows

Q: x2 sin 2x dx 2.1

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Q: dx Using Trigonometric Substitution - f(e) - find (x² + x + 1) 2 4 3 sec e O 3 sec? e 4 4 3 sec? e O…

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Q: 4. Find dy/dx og y = xsinx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: -. Evaluate f. F dr where F(x,y, z) = e²i + xzj+ (x + y)k and C is given by r(t) = t²i + t°j- tk, 0…

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Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y - 8x + 16 =…

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Q: each of the problems, solve the given differential equation. 3. y` + y2 sin x = 0

A: Given query is to find the solution of the differential equation.

Q: Vx² + 4x – 5 ,2 using Trigonometric Substitution find x Consider X+2 O -2 +3 sec 0 O3 sec e O -2+…

A: Here, the given integral is: ∫14x2+4x-5x+2dx=∫14x2+4x+4-9x+2dx=∫14(x+2)2-9x+2dx