What is F(x) = [ COS X √sin x dx? O F(x) = 2√sin x + C

Q: Find the absolute extrema of the function on the closed interval. f(x)=8-x, [-2, 2] minimum (x, y) =…

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Q: Tutorial Exercise Find the value of the derivative (If It exists) at the Indicated extremum. (475)…

A: Given that, the function is fx=-3xx+2. Rewrite the given function as follows. fx=-3x·x+2=-3x·x+212

Q: Find the standard form of the equation of the ellipse and give the location of its foci

A: Here we have to find the equation of an ellipse.

Q: Evaluate the following integral: LLC (2x+4y)dydx

A: Evaluate the integral.

Q: VOLUMES OF REVOLUTION 1. Find the volume generated by revolving the area enclosed by the curve 4y² =…

A: Let's find volume of solid.

Q: Consider the function f(x, y) = xe" and the point P(2,0). (a) Find a unit vector that gives the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the work done by the force field F in moving an object from A to B. F(x, y) = 4y³/2 i + 6x√y j…

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Q: Write a recursive formula for an, the nth term of the sequence 28, 14, 7, .... a1 an ||

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Q: 2 3/2 (4-x2) x2dx

A: The given integral is (4-x2)3/2x2, limit from 0 to 2.

Q: Find the volume of the solid that results when the region enclosed by y = e²x, y=0, x=0, x= ln 5, is…

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Q: Find anti derivative of    f(x)= (2x2+1)(3x-2)

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Q: 2. (a) If z = 1+ 3i and v = −2 − i then 1 A. + 2 B. Tin Tin + C. A. 2√6 e-in/6 B. 2√3 e-in/3 D. 2 10…

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Q: Find the area of the region enclosed by the graphs of x + y = 7 and √x + √√y = √7. (Use symbolic…

A: This question is based on application of integration.

Q: 1-Show that the function :defined by the base f(x, y) = x³ 3xy² - harmonic function

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Q: Use spherical coordinates to find the volume of a ball with radius R(in other words, use spherical…

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Q: If the work required to stretch a spring 2 ft beyond its natural length is 12 ft-lb, how much work…

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Q: Evaluate the integral using the following values. 8 ["x³ dx = 960, ["x dx = 24, ["dx-4 = J4 8 [²- x…

A: Gievn , Hint: 4∫8xdx=24   .....(1)

Q: S (x + 7)dx 15x²+x-2 A. In 2 (3x-1)3 (5x+2) +C B. In 3 (3x-1)2 (5x+2)3| +C C. ln (3x-1)³ || (5x+2)3…

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Q: Please answer completely. Step by step. Evaluate. 2 [² (4-x²)³/2x² dx

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Q: Consider the following. f(x) = tan(x), (-1) (a) Find an equation of the tangent line to the graph of…

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Q: ƒ f(x) = 25, find f'(-3).

A: Topic:- derivatives

Q: 5 1 So (125 + 25x + 6) dx 6o S X (1 + x²)3 dx / 1 + x² dx 1

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Q: The Grad Committee at a particular high school is made up 5 of students and 4 teachers. At the…

A: No of teacher = 04 No of students = 05 Total Chair = 9

Q: 3 2 (x+2) dx (x-1)3

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Q: 24. 25. For numbers 24-30, consider f(x) = -x +8x³ - 18x² + 10. Read the following statements…

A: Here we have to use the concept of derivatives

Q: Find the partial fraction decomposition of A. B. 1 3 x+1 (x+1) 1 3 +1 (x+1) + 1 1 -2 1.2 x - 2 9…

A: We have to find the partial fraction decomposition.

Q: Find the area bounded by y= 2x³ and y=x³ + 3x²=4.

A: 2) To find the area bounded by the curve f(x)=2x3  & g(x)=x3+3x2-4. To find the intersection…

Q: Use inscribed and circumscribed rectangles to find the area of the region to the right of the line x…

A: Concept: the area between the region y=f(x) and ==g(x) on the interval [a, b] Let us assume that…

Q: Where is f' = 0 ? at a What are the values in the closed interval [-1.2, 1.5] where f' undefined? at…

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Q: Find the area bounded by the curve and y+ 4 = 0 y=x²-3x 3X

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Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: 4. y = esec²z (A) sec²rtan resec² z (B)-2 secrtanrx sec²z 5. y= Arccos(x²) 2x (A) √1-2¹ 2x √1-x² (B)…

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Q: If a horizontal element is used to find the area bounded by y=√√x, x=4 and the x-axis, the limits of…

A: we have to find limit of function  here function is given y = x x =4 and x axis  x axis means x = 0…

Q: Find the product of (8 + 6i) and its conjugate. product =

A: solution:-the complex number is 8+6i the complex conjugate of 8+6i is 8-6i

Q: For a function f (x, y), (0, 0) and (1, 1) are two critical points. Also, fxx = 2x², fyy = y²2 and…

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Q: Sketch a graph of the following function for one cycle and determine the period, amplitude, phase…

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Q: 8 i) 이름을 . dx ii) f xel+x2 dx

A: This question can be solved using the concept of definite integrals.

Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The velocity of an object is v(t) = 29t²,0 ≤t≤6 where v is measured in meters per second and t is…

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Q: A population of 480 bacteria is introduced into a culture and grows in number according to the…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.)…

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Q: 5) Evaluate the function: f(x+ Ax)-f(x) Ax for f(x) = 3x²

A: I have stated the used formula in the solution

Q: Example 6: Show that a a² 1 b b2 b c c2 Solution: L.H.S a a2 = = - (b - c) (c - a) (a - b) c 1 b b2…

A: Topic = Determinant

Q: Identify the rational function with smallest degree in the numerator and denominator whose graph…

A: To identify the rational function with smallest degree in the numerator and denominator whose graph…

Q: dy (x+1). + y = ln x dx y(1) = 10

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Q: f(x) = 4x³15x² 18x+6

A: Here we have to find domain of function,1st derivative of function and critical point .

Q: A differentiable function f has only one critical number at x = 5. What can we say about this point…

A: If first derivative is negative on left side of critical point and positive on right side, then it…

Q: Find f(x) given    f'(x)=(x2-2x+1)/x f(1)=6

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Q: 2 f(t) = 2t² - 1, [3, 3.1] Compare this average rate of change with the instantaneous rates of…

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Q: Problem #1: Use Euler's method with step size h = 0.2 to approximate the value of y(4.4) where y(x)…

A: This question is related to numerical methods, we will solve it using given information.