Find abs. max 8 min f(xeg) = x²-3y² - 2x + 6y | on R: square which vertices Coc0)r (200] (2ィ2),(o/2)

Q: 3tan z sec? x dr 2.

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Q: (b) ruz – 2yuy + u = eª , for x> 0

A: 1.(b) Given partial differential equation xux-2yuy+u=ex, for x>0 This can be written as…

Q: Solve diffesential earuation by the separating the variables dy3= %3D

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Q: from y = ae + be %3D 2.

A: y=ae4x+be-4x ....(1) Differentiate both side w.r.t x dydx=4ae4x-be-4x        ....(2) From (1) and…

Q: Find the convolution between x(t) = 2 rect and h(t) =rect() %3D

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Q: Fird the inversc trons frm of ; F (5) = sz+ 25

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Q: 4.3 Verify that for f(x, y) = 4x°y$ - 9x*y³. дх ду ду дх df

A: Explanation of the answer is as follows

Q: 2- find fxx and fyy for f(x, y) = x²sin?y

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Q: Determine whether X and Y are independent: 2e--2y x, y > 0 a. fxy(x, y) =

A: Hello! As you have posted 2 different questions, we are answering the first question (4-2). In case…

Q: The line that passes through the points (2,0), (0,1) is x+2y = c, where c = 1. O True False

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Q: af Given f(x, y) = In(6x² + 8y²) then %3D

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Q: T: R2 R2 is defined by х + 7х, [3x, – 4x2] X1 %3D and B = {u,,u,} and B' = {v,v,}, where %3D -- --…

A: Given transformation T:R2→R2, defined by Tx1x2=x1+7x23x1-4x2 and B=u1, u2 and B'=v1,v2 Here u1=22,…

Q: Right AXYZ with mZX XY = 12V2 Given: 45° and Find: XZ and YZ

A: Given a right angle triangle ∆XYZ and m∠X=45° and the adjacent length XY=122. To find XZ and YZ.

Q: Show that Plx-1,y) = A(x, y) X+ y-1

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Q: f(x, y) = In(4x + 3y) Calcule

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Q: af Given f(x, y) = In(7x² + 9y²) then

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Q: Find f, and f, for f(x, y) = 12(6x-3y +8)°. %3D 1,(x.y) = %3D

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Q: 2) What is the relationship between 2J andOZK? K Supplementary Adjacent Vertical Complementary…

A: If sum of two angles is 90 degree. Then the angles are called complementary.

Q: Find when r = 2 and s = 0, if: as z = xy² – x – y x = y = ers 1+s

A: Here given that z=xy2-x-y, x=r1+s,y=ers So, ∂z∂s=∂z∂x∂x∂s+∂z∂y∂y∂s        =y2-1-r(1+s)2+2xy-1ersr

Q: af (2,0) ay f(x, y) 3D хетУ + 5у%; af (2, 0) = Əy

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Q: By using false position method find f(x) = e* - 2 u %3D

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Q: Solve Ut = Urx, x > 0, t> 0, u (x, 0) = f (x), u (0, t) = 0.

A: Given partial differential equation isut=uxx,     x>0,     t>0ux, 0=fxu0, t=0

Q: If S(x, y)= x² +y , find f, and f, . %3D Vr

A: Fx is partial differentiation of F with respect to x.

Q: OLetL)%3DXD 3X-/0 when x+2-Fénd a value ff(2)that wall !! X-2 make fis Continueus at X-2

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Q: ) s how that the line af intersection f the Planes X+2y-22%= 5 and 5x-2y-Z=0 is Paraliel to theline…

A: Solution is written in below steps.

Q: IT Evaluate v if y=xsinx at x = 6.

A: Giveny=xsinx

Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

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Q: 3 - If h(x, y) = y – xy – x2, find at the point (2, n) ду

A: The given function is hx, y=y-xy-x2 and the point is 2, π.

Q: II. Verify that ду дх дх ду 3 2 2. f(x, у) %3Dх'у? — ху 'y² – xy ³

A: Given function: Now,

Q: 2- Show that: 2 J1(x) = (-1)m x2m+ (2m + 1)! m=0

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Q: sWhat are the points of discontinuity? (x+1Xx-5) y3D *+4x+3 Ox-3, x--1 Ox--3, x=-1 Ox=5 Ox=5,x=-1

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Q: Use Cramer’s rule to solve for x 2x=3y-4z+11 9x+y=z-1 3x-4y=7

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Q: (c) Show that |(−1,1)| = |R|, where (−1, 1) = {x € R : −1 < x < 1}.

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Q: If A = 2x2'i– yzj +3xz'k and ø=x³yz, find V×(ø4)at the point (1, 0, -1).

A: Given A = 2xz2i - yzj + 3xz3k and  ϕ = x2yzSo, ϕA=  x2yz(2xz2i - yzj + 3xz3k)     =  2x3yz3i…

Q: 3 a AB: 4x + 5y = 13; midpoint (2, 1)

A: The equation of the line is 4x+5y=13. The midpoint of the line is 2, 1.

Q: Lion 1-y If x = Show that 1+y dy V1-y

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Q: 26 + 4z4 – 2z2 +1 dz (z – 2i)6

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Q: Assume that ƒ′(3) = -1, g′(2) = 5, g(2) = 3, and y = ƒ(g(x)). What is y′ at x = 2?

A: Given:

Q: f (x, y) = {* - kx(x — у),0 <x< 2,-х <у<х elsewhere

A: (i) Consider the property for a joint PDF, ∫-∞∞∫-∞∞fx,ydydx=1 Substitute the values,…

Q: find af/ax and ðf/əy +4- 17. f(x, y) = sin² (x – 3y) %3D

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Q: Solve for y when x=o degrees: y=2sinx

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Q: Use Cramer’s Rule to solve:…

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Q: Given f(*, y) = 8a'y - 4cy. Compute:

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Q: Consider f (x, y) = re63ry f-(x, y) = e63ry and fy(x, y) = %3D e63ry

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Q: Find the volue of im x3+2 the Val using 3. X-> hospital cule.

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Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: Q,3 Evaluate [II, xyz dxdydz, 3 < x S-2,0 < y S 1,0 S zs-

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Q: Consider f(x, y) = 57x2 +61ry+ 7y? f-(x, y) = %3D and fy(x, y) = %3D

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Q: 16. Find the points of intersection of x' = 4y and y= 4x. (as:(0,0,(16,64)

A: My Dear student according to the rules of Bartleby we can solve only one question post others as a…