dæ . (x – 3)væ² – 6x + 5 Evaluate 2.

Q: How. salve the diff. cquh (4y-cosy) dyldx-3X2-0 7. 74/0/=0

A: Given problem:- Solve the Differential equation  (4y-cos(y))dy/dx-3x2 =0 , y(0) =0

Q: - y² + 22 = 169 at (5,0,12). %3D (1) . i+3 3 3 -) i+ k, 6. 12 12 =) i+k, (d) k. i+

A: In this question, the normal to the curve is calculated using the finding gradient of the function.…

Q: What is

A: Rational Numbers: A real number has the shape pq, wherever p and letter of the alphabet area unit…

Q: 2 13 y+y+y%3Dx"+4X+12%

A:

Q: 30.) Show all steps to evaluate by hand: dA where R (rectangle) –1 < x < 1 and 0 < y < 3 y2+1

A:

Q: B) Find real numbers x, y, z for the identity below 2xi + 2yj – 2i + 3j + 2k = 3i – j+ zk

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Q: EX: EXPress i w X.+24+2 where. w and. w in termsfu.amal.V. Z24. o..... ...

A: Chain rule: If w is differentiable function of x, y, z and x, y, z are differentiable functions of…

Q: Find r, y, z and t where 6. + 2t 4 r+y 3 %3D -1 2 +t

A: Given  3 xyzt = x6-12t + 4x+yz+t3 We have to find x, y, z and t.

Q: dxdydz Evaluate 'V1-x? NI-x²-y² V1-x2-y?-z2

A:

Q: Find a linear transformation T:

A: Consider the provided information, T11=23   and T1-1=05 Find a linear transformation T. We can put…

Q: dy 24. Find dr? in terms of x and y. 6-8xy 9x-5y %3D

A:

Q: R V In ORSTV, VT RS = 4(x 3x 1, TS 2х + 1, and %3D 2). Find the value of x.

A: Parallelogram: In a parallelogram opposite sides are equal. In parallelogram RSTV , VT=3x-1, TS=2x+1…

Q: dy If dx and y(2) = 5, then y А. х2 — у? %3D —-21 В. х2 + у? %3D 21 С. у2 — х? %3D11.5 D. x2 — у?…

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Q: f(x, y) %3D (x? — 2у?)5 2y2)5

A: Consider the given function fx,y=x2-2y25   Partial derivative of f with respect to x…

Q: Let y = eka, where k is constant. The values of k .1, –3 that make y" – y – 2y = 0, are %3D :Select…

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Q: Find real numbers r and y suech that 3r+2iy- ir + 5y = 7+5i. O (A) =-1, y=-2. O (B) z=-1, y = 2. O…

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Q: Find Duf at P. f (x, y) = 3(4 +xy)2; P(4,3); u = 1 i+ j NOTE: Enter the exact answer. Duf

A:

Q: ∫(5e5√y/√y)dy That is 5e to the (y to the 1/5)

A: We have to find

Q: -6 Let y = ( 5x + . Then dy - A(5x + )" (5 -)". = A 5x + where %3D B = C = D =

A: To find the derivative of y with respect to x

Q: 6o..prove.thats U. W V.W U.r V.r L

A:

Q: af axdy of f (x, y) = xy(x+y — 1) — x² Find-

A: The given function is: fx,y=xyx+y-1+x2   As we know that; The Power Law: ddxxn=nxn-1 The Product…

Q: EX:- Show that f dw = VE Terfcb) -erf ca] (ntb dw = E [erfcb) -erfca)] (ngby. Sol:- 9. ē" dw 2. Ff…

A:

Q: Find partial derivative.

A: We use product rule to find the partial differentiation.

Q: or the DE y' = xy2, y(0) = -1. Then, y(2)=

A:

Q: B) Find real numbers x, y, z for the identity below 2xi + 2yj- 2i + 3j + 2k = 3i -j+ zk

A: (2x-2)i+(2y+3)j+2k=3i-j+zk On comparing both sides

Q: F. If F = CC) + 32 then 65 °C = %3D %3D

A: We have to find the °F

Q: d) xty"- x'y'-(y') = 0, y(1) = 2, y'(1) = 1 %3D

A:

Q: xy? Find R -dA, R = [0, 2] × [- 1, 1] x2 + 1

A:

Q: Q.1) Evaluate rsec(x) 3cos(x) dydx Q.2) Evaluate -dzdrdy 1+y

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Q: F• dr. Ic Evaluate F(x, у) %3D хуі + 8хyj C: r(t) = t?i + t²j, 0 sts1 %3D

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Q: ii. (x + y)dA Where R = {(z, y)|1 < x² + y? < 4, x < 0}

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Q: Express the following functious by Cartesian equetion r=4 tano seca r= 4 CSCO 2 t=l+2rcosa

A:

Q: B) Find real numbers x, y, z for the identity below 2xi + 2yj – 2i + 3j + 2k = 3i – j + zk

A: To find real numbers x,y,z of2xi+2yj-2i+3j+2k=3i-j+zk

Q: Find Duf at P. f(x, y) = 3(1 + xy) 2; P(5,3); u = 1 i+ NOTE: Enter the eract answer. Duf 62

A:

Q: ||xVx+2y dA, where R = y): 0sxs2, 2sys1-x use x = 2u, y=v-u R

A: Changing variable of integration from x,y to u,v and then integrating using beta function

Q: (b) Find A° fo given that fo = 3, f1 = 12, f2 = 81, f3 = 200, f4 = 100, f; = 8 %3D %3D

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Q: Perform convolution of h(t) and x(t) = (r(t) +r(-t)){u(t + 2) - ust - 2)1 %3D

A: Graph of x(t) is:

Q: 6e? Evaluate dz by residue theorem, 9z4 + 45z3 where C'is the contour z = 2

A:

Q: - 11. х? %3D 8у - 13. у2 3D — 24х 15. у%3D y 3D — x?

A: As per our guideliness, we are supposed to solve only three questions.Please repost the remaining…

Q: Given: Right AXYZ with XZ = YZ and XY XZ and YZ 10 Find:

A: Given: In a right angled triangle XYZ, XZ=YZ and XY=10 .

Q: Jv²esc?(y³)cor²(y³)dy, we let u = cse(y³) A True B) False

A: To solve the following integral by substitution

Q: - (3x + )*. Let y Then - A(Ax + +)" (8 -)", where B dy = Al 8x + xp A = B = C = D = I| || ||

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Q: 37 Го fо7 (xsin(у) — усos(x) dxdy %3D 2 2

A: ∫02π/2∫03π/2(xsiny - ycosx)dxdy in this this is double integration so in first we take y as constant…

Q: Je 03. Find and . If f(x, y) = 2e* + Iny2 ,und x = 21 + r, y =: %3D r+1

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Q: r(1,1) Evaluate Jo0) (3x“ + 4xy + ix )dz along y =x

A: The solution is given by using the parametric equation of the curve

Q: 4. f(r, y) = + y + xy,find fay and fyz

A: Solve the following

Q: COs r dr. (2² + 4)(x² + 1) Evaluate P.V.

A: Consider the given integral which is required to calculate.