J 4 sin xecos* d.c

Q: Find the indefinite integral. [16 16x arcsin(x) dx

A: Given, ∫16x arcsin(x)dx

Q: 39. An open top rectangular box with a square bottom has a volume of 120 cubic meters. Its bottom…

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Q: QUESTION 13 Is this true or false? The radius of convergence for Σ()" n=0 is R = Show why your…

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Q: (d) A√x X²-2 3z +9 use quotient Rule use quotient Rule

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Q: (a)i Find a vector equation and parametric equations for the line that passes through the point A(5,…

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Q: The area enclosed by the curve y² = x(1-x) is given by .

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Q: h'(x) = cosxcot(sin^3x)+cosxsinx ⠀ h(x) = sin(x) -2 (cos(t³) + t)dt

A: Applying Leibniz's rule

Q: Evaluate lim (x) x-0 f(x) . . . . . . . . . . . F . . y 4 f(x) g(x) X

A: See this solution in below

Q: (a) Find a vector equation and parametric equations for the line that passes through the point A(5,…

A: We have to find solution for given questions.

Q: A cylindrical can is to be made to hold 1 litre of oil. Find the dimensions which will minimize the…

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Q: In the plane R², consider the parametric curve given by the equations Jx(t) = cos(t) + 2 y(t) =…

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Q: An open-top box is to be made from a 18-inch by 42-inch piece of plastic by removing a square from…

A: Diagram of the mentioned box will  be as following

Q: No calculators. Find the exact length of the curve. y=2+2x³/2, 0≤x≤1

A: In this question we have to find the length of the curve.

Q: the open interval(s) on which the curve given by the vector-valued function is smooth. (Enter your…

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Q: 7. Suppose the equation əz ar is a differentiable function of r and y implicitly defined by 2³ = y²…

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Q: 2. Approximate √64.1 by using linearization and use a calculator to compute the percentage error.

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Q: Find axb, a vector orthogonal to both vectors a' and b. a = (-3, 2, 1) and =(4, -2,5)

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Q: The four figures below are graphs of the vector-valued function r(t) = 8 cos ti + 8 sin tj + (t/8)k.…

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Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y = dy…

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Q: Consider a continuous function f(x). The function has critical points at x = 0, x = 2, and x = 3.…

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Q: Assume that x1, x2 and x3 are the zeros of the polynomial p (x) = x3 + ax2 + bx + c. Determine the…

A: Assume that x1, x2 and x3 are the zeros of the polynomial p (x) = x3 + ax2 + bx + c. Determine the…

Q: Find the derivative of y = ln(x + √√√x² + 1

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Q: Find r'(t), r(t0), and r'(t0) for the given value of t0. r(t) = (1 + t)i + t3j, t0 = 1 r'(t0) =

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Q: Evaluate the integral using the indicated trigonometric substitution Select the correct answer. 044…

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Q: Question 20 (5 points) Find the limit. 00 ∞ 5 0 -15 Question 21 (5 points) Find the limit. 0 1 00…

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Q: Matrix A 3 · 12 21₁B = 1₁ -2] · f find AB

A: Since we are given with multiple number of question and our guideline is solve first question only…

Q: Approximate the area under the curve graphed below from x = 2 to x 6 using a Left Endpoint…

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Q: Q3A)Find normal line and parallel plane to the function f(x, y, z)=√xyz - 4 At point (1,2,8).

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Q: of the surfaces z = Which of the following provides the curve of intersection x² + y² and x² + y² +…

A: Solution is given below:

Q: 17. Assume that f'(x) = (x - 1)(x - 2)²(x-3)³. (a) Find the interval(s) on which is increasing. (b)…

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Q: 150 Find the consumers' surplus for a product if the demand function is given by D(x) = 3+x Answer…

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Q: Volume of the function f(x, y)=√√x+y over the triangle region bounded by x+y≤1, x20, y≥0.

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Q: 13. Consider the functions f(x) and g(x) in the tables below. 5 6 7 8 f(x) 1 4 2 3 (A) g(x)= -f(x)+3…

A: topic- functions

Q: As per the trigonometric substitution x = 4 sin 0, the following triangle is obtained. sin 0 = X x²…

A: In this question we are going to fill these blank up.

Q: 3 2 X'+X +2x + 30 - 2 (22-3x+29 2) -dx

A: Let's integrate given integral.

Q: 13. Sketch a graph of a rational function that satisfies the following conditions f(0) = 0, f(-4) =…

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Q: Let g(x) - 1² f(t) dt, where f is the function whose graph is shown. f S

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Q: Is the function has a extreme point? If yes, Locate the extreme point: 1 + 3x V4+5x2 y

A: Find derivative of function and equate to zero to find critical points

Q: Solve the given differential equation by undetermined coefficients. y"+y' + y = x² - 5x -2x Xx) =…

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Q: • Find f' (-1) for f(x) = (3x + 2)² in each of the following ways: • Create a table of secant slopes…

A: Solution is given below:

Q: Find the curvature and radius of curvature of the plane curve at the given value of x. 32 y = 9x, x…

A: Given that Y= 9x - 32/x ; x= 4. And we find curvature and curvature of the plane at give x value.…

Q: The base of a solid is the circle x² + y² = 9. Cross sections of the solid perpendicular to the…

A: Given: x2+y2=9

Q: Use identities to find values of the sine and cosine functions of the function for the angle…

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Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-2, 8) for…

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Q: find f f'' (x) = 2 + cos (x) , f (0) = 7 , f (pi/2) = 2.   f (x) =

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

Q: Find a linear differential equation with constant coefficients satisfied by e2x, e-x, e3x and e6x

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Q: dx 2. √ √x

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Q: 5) Find the slope using y = (=/3² at 2 First Principle (-3,8)

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Q: 4. At which points does the function f have absolute maximum or minimum, or local maximum or…

A: Absolute minimum:- Minimum value of total function Absolute maximum:- Maximum value of total…

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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