show: o f(2) dz f(2)dz (Z-Zo) (C) (2-20)2 (C)

Q: F(s) = (8s + 11)/[(s-4)(s²+9)] %3D

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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: (B) let y = 3sin5x - 2cos5x show that ax y + 25y = 0

A: Given :y=3sin5x-2cos5x

Q: - 5y = 2(x+ c)², dx

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Q: d by f(z) = (x alytic, then C %3D

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Q: The productivity of a country is given by ​f(x,y)=14.41x0.427y0.573​, where x is the amount of…

A:

Q: S(x) = r-6a2 +5r-8 %3D If r a at the inflection point of f(r), what is a =? SUBMIT

A: Calculate the first derivative of the function fx. f'x=3x2-12x+5

Q: Suppose that f(r, y) = 3x y + 8a? + 4y? then find the discriminant of f.

A: f(x,y) = 3x²y² + 8x² + 4y² So, fx = 6xy² + 16x  &, fy = 6x²y + 8y  &, fxx = 6y² + 16 &,…

Q: 4. f(x, y) = 10x²y* – 6xy2 + 10x2; fx(x, y), fy(x, y) %3D -

A: Consider the given function as fx,y=10x2y4-6xy2+10x2

Q: - a°y°, show that fæy = fyx. 85 Problem - 24: Given f(x, y) =

A: Solve the following

Q: If f(x,y)=xe"*/2+135x?y3, then əx²əy³ at (1,1) is equal to

A:

Q: (c) Show that V(3) = o²(X'V-¹X)-¹.

A: 3. c From the given information, y=Xβ+ε Eε=0, Vε=σ2V From the part b, β^=X'V-1X-1X'V-1y

Q: If fe F- di = Scl-5x + 4y) da + (a*y) dy, what is F? F =

A:

Q: b) y =1+ f(z)=2x-2 O 1ks f-(z)=-1 O 2 34s (2)=2x-1

A: Step 1 Replace y with x and x with y  Step 2 Then solve for y in this equation  Step 3 Replace y…

Q: If SeF dr = [c(-5x + 3y² ) dx + (x³y) dy, what is F? %3D F =

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Q: f (x, y) = 169 x² + y² at (-3,2).

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Q: %3D %3D = 7 and y = 7, find z when x = 3 and y = 5. Round your answer to two decimal places if…

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Q: Find fx, fy, fz f(x,y,z) = x – V2y² +z?

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Q: Evaluate f Vx² + 4ax + a² dx :- 2a Vx2 + 4ax + a² 3a? * In x + 2a + Va² + 4ax + a²|+C - z+2a /æ² +…

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Q: Se-2t if 0 3,

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Q: There does not exist r E Q ə r² = 2 ylgn ihi

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Q: f. . Prove false by creating a counterexample: 9(AUB) C P(A) U P(B)

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Q: 10. What is 2ri 2 fo, h (z) dz?

A: curve C3 encloses points of singularity z=-2 and z=0 in clockwise and counterclockwise directions.…

Q: f(z) dz = 4, then 2f(x) – z dz 13 If %3D =

A:

Q: d²y Given that x +y³ = 2, prove that dx2 4.

A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

Q: The R2 from regressing Y on X is the same as the R2 of regressing X on Y. True or false?

A: For a simple bivariate regression, the linear correlation coefficient and R-square will be the same…

Q: If f(x, y) = (2x? + 8y²)í, then f_(0, 0) = %3D A) 0 В) 1 C) 4 D) 2 E) Does not exist

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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: fCX,y) = Xe and gcx,y) = xty? ニ what is f y and fy?

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

Q: Find fr, fu, and f.. -0.5 f(x, y, z) = (4x² + 6y² + 3z²) fz = fy = f: =

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Q: f(x) = (4e2x)3 3(4e2*)2(4e2x) 3D3(16e**)(4e2*) 192(e6x) %3D %3D %3D

A:

Q: Dketch a 3-dhensranal grapn of the equetey 1巻)Z-6-2ーy2 ×Z0 42O 2) 0-

A: 1) given equation to draw the graph is z=16-x2-y2 ,x≥0,y≥0 since x,y are positive the graph will be…

Q: 4. (D3 – 4D² + 4D)y = 0 5. (2D4 – 3D3 – 2D²)y = 0 - -

A: (4). The given differential equation is: D3-4D2+4Dy=0 So, the auxiliary equation is: m3-4m2+4m=0

Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

A:

Q: What is the degree of f (x, y) = 2y + Væ² + y? ? O 1 O 2 O 1/2

A: We can solve as follows

Q: d²y If dx2 -n?sinnx , (y" = 0,y = 0 when x = 0), then: %3D

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Q: Hiw.r provethat D2f +32f= y=o far the functionel xe -2y Coos 2X %3D

A:

Q: %3D18 SK+y%= {x-zy=9 11

A: Given query is to find the solution of the system.

Q: What is the degree of f(x, y) = 2y + √x² + y² ? 01 00 O 1/2

A: what is the degree of f(x,y)=2y+x2+y2 degree: it is the highest power of function

Q: 4) Aşağıdaki fonksiyonlardan hangileri a2 əx² 1 a2 v² ət²! dx2 dalga denklemini sağlar? Neden? a) f…

A: a) Given that f=5x-5vt3 Now, differentiating f with respect to x, we get  ∂f∂x=35x-5vt25=155x-5vt2…

Q: 2.2 nd, from first principles, fa(3, –1) for f(x, y) = 4x²y² + e®. |

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Q: If fF · df = [cl-3x – 4y³ ) dx + (x²y) dy, what is F? F =

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Q: Q3) If f(x, y?) = x² + y2 + Vxy find : af(x²,y) and f(x?,y) ду

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Q: What is the degree of f(r, y) = 2y + Vr2 + y? ?

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Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

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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: Q3) Find fog(x), gof(x), D, D fog' gof x+2e f(x) = » g(x) = vx – 2 %3D 2

A: Solution:-