(9) IfX~F(ri,r2), then оо От OF rix 12 1+1x 12 ~Beta (z, z).

Q: 1. Let T = [-2 1 0 5], 5 1 1 0 A = [¦ ¦] ·--[¦ ¦ ). -- [¦ ¦ ¦]. - -[] [16], B = = [1 2] C = D = 0 3…

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Q: y = 7Rx) O y = f(x - 7) Oy = f(x) + 7 O y = f(x) - 7 fix)

A: To stretch or shrink graph of function by factor of .....

Q: 1) Let f(z,y)- . Compute DS(z,y) where u- (4-9)

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Q: B(1/2, 1/2) = ((L) (4) [1³/1 using Beta function 7. MCD +L(*** AN

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Q: 1 хах 'o V1-x4 V3 xdx

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Q: z = f(st - 3, s2 +t) and fi(-1,9) = 3, f2(-1,9) = 7, fu(-1,9) = f12(-1,9) = f21(-1,9) = f2(-1,9) =…

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Q: • The Doman of f(x) = 4-Vx is 1. (2, co) 2. [-2, c0) 3. [2, 0) 4. [-2,2]

A: The domain is the set of all values of x for which the value of function f(x) exists.   For f(x)=4-x…

Q: The equations ry? + 8zzcos(u) + ye" = 16 and r*yz + xe" – 5u²v² = 15 are solved for u and v as…

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Q: /y=f₂₂//y=f(x) 31 y=f 10 +1 F LFL LI Fr L T+411 L T +41- = 70 77 +1-1-T +4-1-T הוזחוזח חוזה LLJ I I…

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Q: The Doman off(x) = V4 – Vx is

A: Note: The correct option is not in the option.

Q: Find D and e^(tA) = P e^(tD) P^(-1).

A: Step 1:Find Eigenvalues and Eigenvectors: First, find the eigenvalues (λ) and eigenvectors (v) of…

Q: Let f(x, y) = cos(xev*) + cos(x + ey²) , find дхду* O a. -2ye" (sin(xe") – x cos(xev*) + cos(x +…

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Q: - If W = xy + y2+1 azw Show that a2w ey %3D дхду дудх

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Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: A = [-2 3] 1 4

A: Given, A=-2314 AT=-2134

Q: (b) If f (x, y) = y sin2x + x°cosy °cosy 3 then verify dxðy dyðx

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Q: 3. y" = Vx3 4. у" + 16у %3Dsec(4x) — 3

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Q: fCx)=(1+x)* at X=0 is LUX)=1+ KX + "७) %3

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Q: What is general solution of v = ds/dt if v = 2/t^3/2? a.-4/t^1/2 = s^2 + c b.-4/t^1/2 = s + c^2…

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Q: Vr+2+Vx-2 If a = prove that a -ax +1=0 Vx+2-Vx-2

A: To prove , we need to simplify the left hand side of the equation till it becomes 0. To do this…

Q: slove 8a'b 41. (а) (b) 2a b 5xy 42. (а) 2a b)-3 (b) a'b

A: 41. (a) We have to solve 8a3b-42a-5b5 Exponent law states that: (i) am×an=am+n (ii) aman=am-n…

Q: Linearization X = a [4 (b+y)

A: Note: As nothing mentioned about a and b, we will be taking them as constants in general. Further,…

Q: y The function f(x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree 2x

A: Follow the procedure given below.

Q: 6) If y=x² +1+ f dt , prove that y"= 2 - x2

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Q: The function S(x.y)= (2x* + y^ )exp[ y + xy' is homogenous in x and y of degree 2x

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Q: Let a be a real number and f(x, y) = 5ax?y+ 5xy³. Let v = 3i – j and let Vf(x, y) denote the…

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Q: if f(z)=u(x,y)+iv(x,y)=z^2+3z+4 find u & v

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Q: If F(u, v) = u³ ln(2v) and u = x - 2y, v = " y compute 8² F Әхду

A: We need to find derivative of function F with respect to x and y.

Q: +1²y=y² If the function u = ln (2¹+2²4 - v² ) then a Su rou + you is

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Q: Let h(æ, y) = f(x)g(y) + (9(y))² and suppose that f(1) = 5, f'(1) = 3, g(2) = 8, g'(2) = 10. Then…

A: Given function is - h(x,y) = f(x) g(y) + g(y)2             ............................(1)We have to…

Q: Consider f(z, y) = z² + y³ and g(x) = (x, x², z³). .Then D(g(f(x)) %3D O 1× 3 О Зх1 O 2 x1 О 1x2 O 5…

A: consider f(x,y)=x2+y3 anf g(x)=<x,x2,x3>we have to find the dimension of matrix…

Q: Can someone help me explain why my teacher mutiplied the equation by (x^4)' in step 2? I thought I'm…

A: Given,

Q: ( 2x – 3y + 1)dx – (3x + 5y – 6)dy = 0 %3D O 2x² – 5y² = 6xy = 2x + 12y = C O 2x² - 5y² - 6xy – 2x +…

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Q: The equations æy? + 6xzcos(u) + ye" = 12 and æ³yz+ xe® • 24 are solved for u and v as functions of…

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Q: Solve the equation using Reduction of Order y" -y = 2et Oy=c₁e¹ + c₂xet + e* (x + c3e-²x + C4)…

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Q: Let f(z) = r? – 9z + 5 with domain 0 <r < 4, 5. Calculate (f ')(-3). Note: Round to two decimal…

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Q: FIND a-b+c GIVEN THE POWER SFRIES दि जला र (x+3) WITH: A =(0)'r,!-a(0)r ; ROC: Ra and IOC:(b;c)N

A: The given power series is: ∑n=0∞-1n4nx+3n

Q: Given f(x, y, z) = x5yz², find a2f and f₂(1, 1, 1). ахду a2f дуду f₂(1, 1, 1) =

A: Step 1: Given, f(x,y,z)=x5yz2,we have to find: ∂x∂y∂2f​ and fz​(1,1,1):To compute them, first we…