Find the area of the region enclosed by the curves y=x2−2 and y=2.       Question content area bottom Part 1 The area of the region enclosed by the curves is enter your response here. ​(Round to the nearest thousandth as​ needed.)

Q: Evaluate the integral dx (5x + 9)* by making the appropriate substitution: u = dx (5x + 9)*

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Q: 2. C sin $ 2wcos° 2wcw 3. If f(x) = Vi19+r² dt , find f'(3).

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Q: Find the points on the surface 6x² + y² – 3z² = 4 where the tangent plane to the surface is parallel…

A: Here, the given surface is  6x2+y2-3z2=4⇒f(x,y,z)=6x2+y2-3z2-4 Let, P(x0,y0,z0) be the point of…

Q: Question 8 Evaluate the given double integral by changing it to an iterated integral. JJ xy dA; S is…

A: Note: Graph the triangular region and find the limits

Q: Use Newton's method with the specified initial approximation x, to find x3, the third approximation…

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Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. So xe…

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not…

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Q: 1) What are the equations (4 of them) that show the relationship between polar and rectangular…

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Q: Find the equation of the plane perpendicular to the line x 2t, y = 6 - t, z = 4+t and containing the…

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Q: Given the function graphed below, evaluate the definite integrals. 4+ 3 2 3. -1 -1 4 5 -2 -3 -4 |…

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Q: The velocity of a ball thrown upward from an initial height of 80m is given by v(t) = -32t + 64 What…

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Q: teger n is odd if and only if 3n + 1 is even.

A: Here I am providing my handwritten solution

Q: 162 + 1 Compute the given integral. 1 +C 16x2 + 1

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Q: Use the summation properties and rules to evaluate the series. 5 E (312 - 21 + 6) i= 1 5 E (31? - 21…

A: Use the summation properties and rules to evaluate the series.

Q: Evaluate the double integral.

A: Given

Q: 4. , kr+2{cd= -3

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Q: If the profit function for a product is P(x) = 6400x + 80x² – x³ – 190,000 dollars, selling how many…

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Q: Solve the initial value problem. 4 y(x) = 4 sec(3.x) tan(3.x) ; y(7) = %3D 3

A: y'(x) =4 sec(3x) tan(3x)y(x)=∫ 4 sec(3x) tan(3x) dx3x=t,dx=dt3y(x)=43∫ sec(t) tan(t) dt     =43 sect…

Q: Evaluate the definite integral

A: Evaluate the definite integral .

Q: 4. The tens digit of a three-digit number exceeds the hundreds digit by the same amount that the…

A: Given: Let the three digit number be  'xyz'  where x is 100th digit, y is 10th digit and z is units…

Q: Consider a triangle ABC like the one below. Suppose that b= 33, a=48, and B 26°. (The figure is not…

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Q: Evaluate the integral by making the given substitution. (5x)tan(5x)dx, u = 5x + C

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) (x² + lim x + 5…

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Q: (a) rªr- (b) y2 (c) e-4z+3e7z=3 ,71–3 (d) In(ez)

A: we have to simplify

Q: Solve the following differential equations of 03B (1+x* )(dy – dx) = 2xydx,

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Q: Consider the integral cot(0) · In(6 sin(@)) d0: This can be transformed into a basic integral by…

A: We have to find the integral.

Q: Find all the first and second partial derivatives of the function f(x, y) = x²y – 3y“.

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Q: i need the answer quickly

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Q: Write an iterated integral for d. dA over the region R described to the right using R a. vertical…

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Q: H.W: Evaluate the integral 3 0 1 | (x?y – 2xy)dydx | |(x + y + 1)dxdy 1. 2. 0 -2 -1 -1 3 1 4 1 (2х —…

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Q: Solve the following differential equations of 2y – -3d = y* . e" ;

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Q: Solve the initial value problem. 1 u'(x) = – 2; u(0) = 1 x2+1

A: Explanation of the answer is as follows

Q: sin(3x) dx 1+cos²(3x)

A: The given integral is Sin(3x)/[1+cos2(3x)].

Q: Use the divergence theorem to compute sS Fonds, where n is irected ourword, FCX,YZ=-2xi +4yj-7zK.Ź…

A: Here's the solution... please have a look at it...

Q: Evaluate the integral + 3) (x2 + 3x + 10)*dæ by making the substitution u = x + 3x + 10. + C NOTE:…

A: Solution is done in step 2

Q: If f(x) cos-(2x+5) then dom(f) = %3D a+3 (A) (-3, –2) (B) [-3, –2] (C) (-3, –2] | (D) (-1,1) (E)…

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

Q: 13) which of the following Series convenge' 7n Ci) In hzg

A: i)∑n=1∞ 17nThe series diverges by p-series test.(∑n=1∞ 1np converges only when p>1)=17∑n=1∞…

Q: Define Euler's number e. Sketch the graphs of the function f(x) = at are the domains and the ranges…

A: answer is in next step

Q: A forest has a population of cougars and a population of rabbits. Let æ represent the number of…

A: A detailed solution is given below.

Q: Find the sum of the first 28 terms of the arithmetic sequence. 36, 44, 52, 60, .. What is the sum of…

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Q: Find the average value of the function over the indicated interval.   ​(B) Graph the function and…

A: To find the average value of the function,      fA=1b-a∫abf(x)dxWe have, f(x)=500-90x, a=0, b=2

Q: dy x(2lnx+1) dx sin y + y cos y

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Q: Calculate s f(x, y, z) dS for the given surface and function. D(r, 0) = (r cos(0), r sin(0), 0), 0<r…

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Q: 6. Evaluate the indefinite integral as an infinite series. (b) / sin z (a) / r cos(r)dr

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Q: Find the derivative of the function f(x) = 9r( – 5x + 6z). %3D f'(x) =

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Q: 4- if U(x,y) = x2 + 2y and x(r, t) = r sint, y(r,t) = sin?t, au find 1- ar au and 2- at au 1- ar ди…

A: Given that,   U(x,y) = x2+2y   and x(r,t) = rsint,     y(r,t) =sin2t we have to find ∂u∂r,    ∂u∂t…

Q: A business is planning to purchase a piece of equipment that will produce a continuous stream of…

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Q: Calculate xz dS, where S is the cylinder (including the top and bottom) x + y = 16, 0 < z < 5. %3D

A: answer is in next step

Q: 1. If = (1.0.-3) and i = (6,-3,-4) compute ixw.

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Q: dr J z(x+1)² 14.

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