Using double integrals, find the area of the region bounded by the curves x = y² = 1 and y = 2x x=y²-1 y = 2x

Q: please shed some light on how you got the critical numbe

A: So, f'(x)=0 gives us

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A: The definite integral  can be written in the limit form on the interval [a,b] as

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A: Since you have asked multiple questions, as per company guidelines we will be answering only first…

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A: To solve the following integration.

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A: The given function is

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Q: cos(x) dx 2) Calculate the integral sinc √sin(x)

A: To calculate the following integral.

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A: Here, We need to find the graph of the given equation f(x)=2x+4 in Interval [0,4]

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A: The given tablet(h)0246810r(t) (L/h)8.67.66.86.25.75.1

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A: To write the

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Q: Question 7 Given: x = 1+ t², y= t-t³ a) Find the values of t that corresponds to horizontal and…

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Q: In the following exercise, given that 1 1-x = ∞ Σa x" for x < 1, n=0 use term-by-term…

A: Power series.

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Q: Solve the following integration :- پیمرا Sin 2 x dx - Cos³x 2

A: The given integral is sin2x/(1-cos2x)

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Q: d). 1 0 0 0 1 6 -6 » e). 10 11 017 f). 10-5 01 1 0 1 000

A: Row echelon formA matrix is said to be in row echelon form ifi) All rows have zero at the bottom ii)…

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A: Consider the series

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Q: Express the limit as a definite integral on the given interval. 72 Part 1 of 2 lim Σviln(2 + x) Δ.,…

A: The definite integral  can be written in a limited form on the interval [a,b] as

Q: Question 4.21) Evaluate the following limits. sin² (1)-1 A) lim 1->8/2 1-4 B) lim x-0 1-cos(2x) x²…

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A: given function

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A: f(x)=xcos⁡πx

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Q: Find a vector-valued The ellipsoid r(u, v) = function whose graph is the indicated surface. x2 1/2²…

A: To find a vector-valued function whose graph is the indicated surface. The ellipsoid

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Q: * Find the general solution of: dy dx XsinX = -

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A: f(x)=−x3+27x−58Using the power Ruleddxxn=nxn−1

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A: The given function is The linear approximation at  is The quadratic approximation at  is

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Q: If what does the following integral equal? 17 |_ * = [9f(x) + 3g(x) − h(x)]dx · - 50 - 17 - 50 - 17…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

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Q: a) The rectangles in the graph below illustrate a The value of this Riemann sum is left endpoint…

A: given function f(x)=

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Q: 1. Region D of the (x, y)-plane is the locus of points satisfying the conditions 2y > e-* > y and y…

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Q: Stanxsecxdx

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A: tan x = 15/8x in first quadrant Find sim 2x , cos 2x , tan 2x

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A: If 6400 cm2 of material is available to make a box with a square base and an open top,then to find…

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Q: (2) Let f(x, y, z) = x²y + y²z. Find the directional derivative of f at the point (1,2,3) in the…

A: The given function is To find :- The directional derivative of f at a point  in the direction

Q: 16 [FIX, F(x, f(x, y, z) ds. S Evaluate f(x, y) = 7y - x S: r(u, v) = cos(u)i + sin(u)j + vk π us T,…

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A: given data about the velocity of the object

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Q: Find the radius of convergence, R, and the interval, I, of the convergence of the series. n=1 (x -…

A: The given series is; Summation of (x-2) n sqrt(n)]

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A: given function To find: the intervals of increase and decrease.