The function f(x) = 2x³-36x² + 210x + 11 has one local minimum and one local maximum. Use a graph of the function to estimate these local extrema. This function has a local minimum at x = with output value and a local maximum at x = with output value

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Q: 22-23. Which of the following is the area. enclosed by y=x²-4 and y = x -4? A) √²(x-x²) dx ²(x² -…

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A: Given:  f(x)=(5x+6)−3To Find: f'(x), and f'(3)

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A: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

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Q: 1. Evaluate the lim [In (x)] using table of values. Table A (for x values that approaches 1 from the…

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Q: 21. Find the solution of the given initial value problem. y’’+y’+1.25y=0,     y(0)=3, y’(0)=1…

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is given by

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Q: The definite integral that will give the area of the region R using VERTICAL strips is +2 ° ³* ((2²…

A: Explanation of the answer is as follows

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Q: 3 2 | z=1 y=1 -2(x + 1)y dy dz بائية

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Q: Check whether the points (0,7,-10), (1,6,-6) and (4,9,-6) are the vertices of an isosceles triangle.

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Q: 9. ytan x² a. 2xsec³² 10. y=sin x + 5 cos x a. posx–5sinx b. 5 cosx+sinx b. 2x sec 2 x² c. xsec²x²…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: 7- Determine the volume of the parallelepiped formed by the vectors u = [ 2,1,3], v = [1,-4,2 ] and…

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Q: find dt' t= Счи) 11/2 (24)

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Q: Consider the following curve. f(x) = (x-2)/(x^2) a. Determine the domain of the curve. (Enter your…

A: given f(x)=(x-2)x2a.Determine the domain of the curve.b.find y'and y''

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A: Given query is to find the derivative of the function.

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Q: 3. Use the method of partial fractions to evaluate 3x²+7x-2 -dx.

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A: We have to determine  limit use continuity

Q: A. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e at y(0)=1 and y (0)=2

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Q: (vii) 5.001 = mpQ (viii) 5.0001 MpQ = (b) Using the results of part (a), guess the value of the…

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Q: Q1: Determine the volumew of revolution obtained by rotating the region bounded by y = √√9-x², 3y +…

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Q: Find the area between the curve y = x(x 3) and the ordinates x = 0 and x = 5. LA B

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Q: df Use integration to find f(4) if- dx O 42.667 O 43.667 O 47.667 O 48.667 = 2x² and f(0) = 5.

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Q: Determine whether the integral is improper. +∞0 (x+3)-1/3 dx -∞0 O Improper O Not improper

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Q: For the vector-valued function r(t) = cos(t)i + sin(t)j + 2tk Find r'(t). r'(t)=-i sint + j cos t +…

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Q: Show that f is continuous on (-00, 00). if x ≤1 f(x) =(1-x² In(x) if x > 1 On the interval (-∞o, 1),…

A: solution:-f(x)=1-x2   if x≤1ln(x)     if  x>1on the  interval -∞, 1 f is quadratic function &…

Q: Evaluate the integral. x² - 81 | V=² x x² - 81 | Vx² x √x². 81 X √x². 81 X x² - 81 X 1² 1² - dx = -…

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Q: Consider the following homogeneous differential equation. xdx + (y-2x) dy = 0 Use the substitution x…

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