Let f(x,y) = In ( x2 + y). If fy(2,a)=fy- 1, 2), what is the value of a? а. 3 O b.7 О с. 8 d. 6 O e. -2

Q: M(3, 5) is the midpoint of PP2, where P has coordinates (0, 1). Find the coordinates of P2.

A: M (3,5) is the mid point of P1P2¯ , where P1 has coordinates (0,1).we have to find the coordinates…

Q: a² f If f(x, у)— 3х'у +9х, then дхду a. 6x? b. 9x? c. 9x²y С. d. бx? +9

A: Evaluate the given differential of the function f(x, y) = 3x3y +9x   Find the d2 f/dxdy

Q: calculate y " and y "'.

A: So, the second and third derivative will be given as

Q: C4

A: Given, Evaluate ∫ex1+e2xdx

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A: We have to find the truth table for given statement.

Q: 6. Evaluate dx

A: Introduction :

Q: Se-Xdx а. - e-X + C b. (-x+1) e-x+1 + C e-X+1 + C In e C. d. None of the above

A: we know that ∫eaxdx =eaxa+C

Q: Evaluate: 1 dx 2(х — 1)? 1 О а. + C 2(х-1) O b. * + C 1 2х + C 1 d. + C 2(х-1)

A: The integration of the integral is 1/[2(x-1)2].

Q: S S( 3x² +x³y)dxdy

A: Evaluate ∫13∫023x2+x3ydxdy=?

Q: dx- 3 (9 — бх — Зх2)2 -

A: Consider the given integral. I=∫x9-6x-3x232dx First, make the complete square of the denominator.…

Q: 2. For x 2 0, which equation is false? 3, 2 (x) = V3 А. X2 %3D B. (x³) = Vx3 c. (x) = Vx3 ( = С. X2…

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Q: If J x° e" dx = e (A) + c, where c is a constant. Then A = Select one: a. x3 – 3x2 + 6x + 6 b. x3…

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Q: Evaluate. (Be sure to check by differentiating!) |(x³ + 1)*x² dx 4.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: dx 14. Evaluate Зх — 12 A.ο В.1 00 D.0

A: Given integral is  ∫14dx3x-12 We also know that ∫1axdx=1alnx+c.

Q: 6y y = +c Y = cx® y = None of the options

A:

Q: Which one is an exact equation? (Зуш? — 1) dar + (2a3 + 3у) dy — 0 2у(а + у + 2)dx + (у? — а? — 4г —…

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Q: X~N(M, 2. 4 =2tX-t ?E(%)

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Q: et Evaluate dx using an appropriate substitution. 1+ e2x a

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Q: k X L n X L n Y d X + dy=o 2 (x²-xy + y²) dx-xydy =o

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

Q: Find dy for x5 + 2y* = 5y dx

A: Derivatives can be defined as rate of change of function with respect to an independent variable.…

Q: 1. Which is the simplified form of 3xy x 5xy? a. 15x'y? b. 15x*y 15xy d. 15x'y Cc.

A: Write in simplified form 3x2y×5xy.

Q: 6x² + 7x – 6 dx (x² – 4)(x +2) 38. Evaluate

A:

Q: x4+8x2+8 dx x3-4x е. f. (*+19x+10 dx 2x4+5x3

A: e)   Given data:   The given integral is ∫x4+8x2+8x3-4xdx.   The given expression can be written as,…

Q: 5. Ifz varies jointly as x and y, and z 60 when x 5 and y=6, which of the following will be the…

A:

Q: [3 5 If A= 6 1 [2 3 y B = 4 -6 7. Determines 1. A+B = 2. AB = 3. -4(B) =

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Q: 2. ydx + (3x – xy + 2)dy = 0

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Q: Find and a and дхду f(x,y) = x2 - y2 + 6xy + 4x – 8y + 2 a. b. f(x, y) = e*y + xy

A:

Q: Find the e v

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Q: 1. Solve for the variable x. F = kx – kxo A. x=F-kxg А. х- O B. x=F-kx, k F- Kxo О с.х3 C. x= D.…

A: The given equation is F=kx-kx0

Q: 3. ſ(4 csc2x cot2x + 2sec² 2x)dx A. 2 tan2x – 4 csc2x + C C. tan2x – 2 csc2x + C B. - tan2x + 4…

A: To evaluate:∫4 csc 2x cot 2x+2sec22xdx

Q: 1. (A×(DxB))x(Ex(A×C)) 2. BxC-(A×B )× D 3. Ric + Rn – Rp. EB 4. E.Ax(D×C)-B 5. D-(4-E)xE +(ВxЕ)xС+4…

A: As per our guidelines, we are allowed to answer only three subparts of a question. Since you have…

Q: af Find and f(x, y) = 4xy – 6x? – y? + 9x – 3y + 3 - af af dy 3 f(x, y) = (4x – 6y)* fe af dy ||

A: Partially differentiate with respect to x and y. Detailed solution is given below.

Q: How does one do 14?

A:

Q: Q = 3x² + 5y² 1 , where x+y=8. Minimize

A: Qx,y=3x2+5y2 and x+y=8

Q: Find the value of y.* 3y E 24 7y – 4 –

A: Our aim is to find the value of y:-

Q: f of If dx + In(7y), what is ? - дхду Select one: 1 7. а. дхду y y b. дхду - y + 7e?y С. дхду 1+e7y…

A: Option E is correct.  Make x constant

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.