If c is a positive constant, find the area of the region enclosed by the parabolas:  y=x^2-c^2  y=c^2-x^2 in terms of c

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A: This is question of calculusHere we have to find area using integration Further calculation is given…

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A: The given is  Sum of this can be calculated  as           =                         =…

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A: Given:, where   is in 2nd quadrant.To find:To find the exact value of the following.Note: Since, the…

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A: We will find

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Q: LESSON 15: HOMOGENOUS SECOND ORDER LINEAR DE 1. Given c) Solve the IVP if d) Solve the IVP if y(0) =…

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A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

Q: Current Attempt in Progress Find the total area between y = 9 - x² and the x-axis for 0 ≤ x ≤ 4.…

A: This is question of application of integrationHere is function is given We have to find area between…

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A: In this question, we will find the double integral.

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Q: Evaluate the integral 1 S 2 √xe - √x sec ²³ (5e √x + 1) dx.

A: I=∫1xe−xsec2⁡(5ex+1)dx

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A: Consider the curve

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Q: Find the partial derivatives of the function 뚝뚝층 _w = V2 + 182 + 2t2

A: The Power Rule:The Chain Rule:

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Q: 5. *²2²√25 - 2²³dz

A: The given integral is

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A: D

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A: Here ln(x)+x-9=0Let f(x)=ln(x)+x-9

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Q: f(x) = (x² - 4) (x² +9)

A: f(x)=(x2−4)(x2+9)

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Q: 37. f(x) = 2x +1 on [0, 4]; n = 4 38 f(x) 2.com-1mo TO 17:

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

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A: Consider the graph

Q: Ans. y=10 cost + 2 sint-√√2 sin√√2t 5. 2y+3y"-3y'-2y=e', y(0)=y'(0) = 0, y"(0) = 1 8 1 Ans. y 9 -1/2…

A: 2y'''+3y''-3y'-2y=e-t, y(0)=y'(0)=0, y''(0)=1