Which integral corresponds to the area of the shaded region between the curves y = -x? + 3x and y = 20 – x? – 5x ? See the figure below to help you determine the indicated region.

Q: dy Find for dx 3) y = In(vx2 + 1+x) sin¯1x X.

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Q: dx xV4-x?

A: Explained below

Q: Find the magnitude of vector AB. 1. A = (4, -3) and B 2. A = (-2, 11) and B = (2, 8) = (-8, 2) %3D…

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Q: t cos t?dt can best be evaluated by: A Power Formula B) None (c) Trigonometric Transformation D…

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Q: The differential equation (xy2 + y)dy = (x + 1)dx is separable. Select one: O True OFalse

A: We have to find

Q: 3. Use trigonometric substitution to evaluate Sx V9 – x² dx

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Q: The height h, in meters, of an object at time t is given by 12t + 18t – 6t2 .h(t) What is the height…

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Q: For the given vectors a and b, find the cross product a x b. = (4, 0, –3), b = (2, 3, 0) a x b =

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Q: Evaluate the integral. 9. e dx -6

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Q: 1. By definition, which of the following formula gives the derivative of a function at any value of…

A: A detailed solution is given below

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: We have to solve above algebraically solution

Q: Adjust the domain of the rectangular equation, if necessary. y = x^2-7

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Q: Evaluate the upper and lower sums fo n = 2, 4, 8. Illustrate with diagrams. %3D

A: answer is in next step

Q: dy Find for dx 5) y = sec-(2e3x)

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Q: x++ dx 1.

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Q: Find curl (5z i+ 6x j+ 8y k). curl (5z i+ 6x j+ 8y k) = ( )i + (i Oj + ( i Ok

A: Given that,    curl5z i+6x j+8y k

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: ||r(t) x r"(t)|| ||r'(t)||* Use the formula K(t) to find K(t). r(t) = 4 cos(7t)i+ 4 sin(7t)j + 3tk…

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Q: Let u = x + 7y and v = x - y. Subtracting v= x - y from u = x + 7y, we get y = Adding u =x + 7y and…

A: Given:      Let u=x+7y              v=x-y Subtracting v=x-y from u=x+7y, we get…

Q: At the beginning, an experiment records 1 gram of bacterial culture, and the culture's weight is…

A: we have to find weight at t=10 hr.

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

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Q: Find the exact area under the curve between the indicated values of x. 3 ; between x = 1 and x = 3

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Q: T/3 sin4xdx = 4 T/12 Select one: O True O False

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Q: у" - у'— бу %3D 2, у (0) %3D 0, y'(0) = 0

A: Given that     y" - y' -6y = 2 , y(0)=0 , y'(0) = 0

Q: The equation y? = cx is a general equation of A. y' = 2 B. y = 2x 2x C. y' = y y D. y': 2y O A NONE…

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Q: A = (0, -3) and B = (5,9) A = (3, – 11) and B = (9,-3)

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Q: Determine whether the series converges or diverges. Make sure to clearly state the test that you're…

A: Given,  ∑n=0∞2xnn!

Q: L3a²dx = 65 %3D Select one: O True O False

A: We have to find out integration

Q: . .............. Solve the exponential equation algebraically. Approximate the result to three…

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Q: Using the shell method, determine the integral that represents the volume of the solid formed by…

A: volume rotating about x=pii

Q: (-1)r+1. n=1 と(-1)"+1 n2 2]

A: Topic:- sequence and series

Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If…

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Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the volurne of the solid generated by revolving the region about the given line. The region…

A: Explained below

Q: Find the derivative of y=x^(7sinx). (x>0).

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Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

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Q: Find the partial derivatives of f(x, y) = 5x*y². %3D

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Q: dy (х — 1) — у + 2(х — 1)3 dx

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Q: Let f(x) = y = 4x² In(). Differentiate y = 4x2 In() with respect to x and simplify. + 4x2 )(()이) -A…

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Q: For the given cost function C(x) = 25600 + 500z + x², %3D First, find the average cost function. Use…

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Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

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Q: Find the area of the plane region bounded by y = x3, x = -2 and x = 2.

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Q: Consider the following. RX) = x In x², (-1, 0) (a) Find an equation of the tangent line to the graph…

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Q: Perform the indicated multiplication on the differential operator D. Show your full solution.

A: We have to find out

Q: S. dx 2. x²V4-x2

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Q: 3 dy Зу =-sin -1 +C 4- 9y2 3 A True False B.

A: The given integral is 3/sqrt(4-9y2).

Q: Find the magnitude of the given vector. (-3, 6, 2)

A: Given,            The vector is <-3,6,2>.To find : The magnitude of the given vector.We know…

Q: 3/2 dy The order and degree of the differential equation (). - 4 = 0 dx - dx2

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Q: Find the value of n in the following definite integral. Lo 4x dx = 1 Answer:

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

Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fo. dy dx?

A: Consider  ∂3y∂y∂x2=