A in space X -1,3) in E¹ 1. А A' 2. Int(A) 3.

Q: Is g = {(x, y) ∈ [−5, 5] × R : x^2 + y^2 = 25} a function from [−5, 5] to R.

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Q: 12. integrate (10x+6x +2x-6)dx

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Q: 31+x*) = e" ( +x²)* + 2xy dx %3D

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Q: (v) er-y de +e**"dy = o

A: We will solve the differential equation by the method of separation of variables.

Q: ไ1,) จงพิจารณาว่าอินทิกรัลไม่ตรงแบบต่อไปนี้ลู่เข้าหรือลู่ออก 1. dx 5. (๕๔) ห 7. dx

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Q: 2 15 32. [(x + V1+ x? 5 32. f(*+ dx is equal to V1+x? 2.

A: Introduction :

Q: ГЕ 29. /x +4y dx dy

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Q: If h(X) =n) 3+3F(X) where FC1) =7 and f'(1) what is h'LI) ?

A: If h(x) = 3+3f(x)   where f(1) = 7 , f'(1) = 2 differentiate h(x) with respect to x.   then put x=1

Q: Verify the homogeneity of the differential dy _ y²-2xy x2 - 2xy dx

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Q: 4. SxIn(x) dx

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Q: 1 is 1 H.W Find y' for y = ecosx * tan-1(5x) * (5x² + 1) ?

A: for y , y'=?

Q: xe*dx 4. S (1+x)?

A: Given data: The given integral is ∫xex1+x2dx. The given integral can be written as,…

Q: d(d Which of the following is the same as -台) dx dx dx None d'y (dy d'x dx C ddy D dx4

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Q: y" – y' = 5 – 5e¬*

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Q: There are four questions about this problem in the test shown in random order. Out of 1000 customers…

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Q: Solve the D. E. to the I. V. P. sinx(e-y + 1)x' – cosx = 1, y(0) = 0 %3D %3D (1 – e') (1 + cos.x) =…

A: We will find out the required solution.

Q: Show that so that [*_da'ƒ (a'ſõ(ª − ¶') = ™** ªqÿ(¶')ƒ(q − q'), ƒ®ğ=gof.

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Q: 2. Evaluate aydA, where R = {(x, y) : 4 ≤ a² + y² ≤ 9, a ≤ 0, y ≥ 0}. x R

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Q: 2) x²-9 = y -7 4 -3 -24 -1 -9-8-7 -6 2 3456 8 9 -1 -2 -3 у-int. -4 -5 x-int./s -6- -7 -1 -9 vertex

A: The given equation of the curve is x2 - 9 = y

Q: Find y' in x² + y2 = 9. O O 9 -3 y X

A: To find the second order derivative.

Q: F. h(t) = e*Int (Int A. h' (t) = 2t B. h' (t) = e°(t + Int) C. h'(t) = e* ( + 1) D. h'(t) = e* (;+…

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Q: cot ?/n (1 -x)dx 1-X

A: Integration is a reverse process of differentiation . Thus the integration is a process of finding…

Q: 1. S 5e*dx 2. S(2 – 3e*) dx

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Q: 70. Use the fact that (b*) = (In b) b* to prove that (ek*) = dx dx kekx. ||

A: Differentiation rules help to prove the required. The given fact helps to prove the required. Chain…

Q: (а) уу" %3 Зу"?

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

Q: Let f(x,y) = 4eô In(y) NOTE: Enter the exact answer. (a) Find f(3 ln(y), e“). f(3 In(y), e") (b)…

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Q: Inde pinite integral 2. 1100

A: Let's find.

Q: 29.

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Q: 4y" + 28y' + 49y = 0, y(0) = 7, y' (0) = 7. y =

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Q: Г(п + 1) (т + 1)"+1 I(n).k>0] 1 3. Show that, / (In-)" dx [Hint:/ -kx n-1 e kn

A: Question is solved.

Q: [x, 0][x',o]=[xx', o]

A: claim- to check whether x0x'0=xx'0 is true or false proof let two matrix of order 1×2 A=abB=cd…

Q: True or False

A: Ans : False , because