Find the absolute extrema of f on the given interval. (find the absolute maximum value and absolute minimum value) 1. x2+ 4x+2, [-3,0]

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Q: : Evaluate the following integrate: 1- S x²dx √√9-x² 2-[(2 + 5x)e³ dx

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A: Topic = Derivative

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A: The integration of the integral is 1/sqrt(x2-9).

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Q: 100 Ln=1 a. Converge 3 b. C. d. Diverge (-3)2+1 is 23n 318 338 8 b 2 2 0 J d a *

A: The objective is to check the convergence or divergence of the series.

Q: Rewrite the Cartesian equation r(0) = Enter theta for if needed. = 3 as a polar equation.

A: Topic = Geometry

Q: Q1:Discussion a continuity of the function f(x, y) at the point (0,0),where sin x f(x, y) = x (x, y)…

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Q: x² +2 (x-2)(x² - 2x+2) dx S U 2-2x 3 (√(√72²2²2²X + 2 + x ³₂ ) dx

A: ∫ x2+2x-2x2-2x+2dx

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A: Solved below.

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A: Topic :-  trigonometry

Q: dy : Find the for the following functions: dx 1- y = e(x+ln 5x) 2- y = cosh-¹ sin 2x 3- y = xsinh x

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Q: Question E.) 36 Al 2+3^ 3^ +4^

A: Explained below

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Q: Determine the magnitude of the vector sum V-V₁ + V₂ and the angle 8, which V makes with the positive…

A: We have to find the vector and angle.

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A: Evaluate the ff. by integration by parts.

Q: 1. Jổ xdx xdx ull ch 2. √²2² (x²-x)dx 3. f2, xdx

A: We have to solve as per guidelines Solving by fundamental theorem of calculus

Q: Question 38 What integration technique can be used to integrate: (A) Power Formula Integration By…

A: Here we have to determine the integration technique to solve the given integration. =∫5dx3+x2

Q: 15 Ső 0 X √x+1 ах

A: We have to solve the given definite integral

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Q: Plot the following curves in polar coordinates. 50 1. r = 2 + cos (52) 50 2. r = sin 0 + sin³ (5) 3.…

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Q: Use the cylindrical shells method to find the volume of the solid. 2 y = 2x, x= 2y, about the…

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Q: Scanned with CamScanner 10.f cota y sec y dy

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Q: I. Evaluate the following integrals. x² + 2 1. dx (x-2)(x² - 2x + 2) 2-2x 3 x² +2 (x-2)(x²-2x+2) dx…

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Q: t, 15. y' + 3y = { ₁ 0, 0≤1≤2, t> 2 y (0) = 0

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Q: : Evaluate the following integrate: 1- S x²dx √9-x² 2-√(2 + 5x) e dx

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Q: Home work: 1. 3. 5. 7. 9. 11. [xsin / dx [₁² t² cost dt x ln x dx -1 tan y dy x sec² x dx S [xse…

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Q: 200 J + Corxiy_Tanx sinx dy

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Q: Question 36 To integrate x³ ex dx, we apply integration by parts and in the form u dv, dv is set as:…

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Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: We can solve the given question as below.

Q: dx 1. S₁ √x+3 St 2. f2(x+1) dx -1 √√√x²+2x+4 3. f¹₁x²x³ dx 1 dx 4. S Vitsinx 3x 5. S₁ (x²+1)³ dx (a

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Q: Sx√x + 1dx

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Q: - nsider the function f(x) = 2x³ + 3x² – 36x - 54. a. Find the first derivative. f'(x) = b. List any…

A: Topic:- calculus Note :- as per our guideline if more than three subparts posted than only first…

Q: Write the equation of the line. == (0, 2) is on the line. Select one: O a. -3x + 5y = -10 O b. 5x -…

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Q: Q2: A. Determine if p=i-3k and q = 61 - 3j - 4k are parallel, orthogonal or neither.

A: According to Bartleby guidelines I can only answer the first question of the two questions given.…

Q: (e) Find the exact length of the curve. x = e cost, y = et sint, 0 ≤ t ≤n.

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Q: Sketch the graph of f(x)=x² /x²-1

A: Graph

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: Topic = Derivative

Q: Find the slope of the tangent line to r²e³ + y²e² = 2e at (1,1).

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