Q/ If the joint p.d.fof X and Y as f(x,y) = {*y Scx²y ,x²

Q: What values of a and b make the function f continuous everywhere? I -4 if z<2 H-2 az² – bz = 18, if…

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Q: How is linear approximation used to approximate the value of afunction ƒ near a point at which ƒ and…

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Q: 1. Find if the function is continuous in the given points (sin(x+y) x+y 1 D) f(x, y) = x + y = 0…

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Q: Let z be a differentiable function of x and y related by the equation: x z ++* =(√√y+cosh(z))". X 2…

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Q: On what interval(s) is the function y = –2x² + 3x/3 both increasing and concave down?

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Q: Determine the following function is differentiable F (z) = e¯²

A: Cauchy-Riemann Equations: The function fz=ux, y+i vx, y satisfies the Cauchy-Riemann equations if…

Q: Test the function defined by f(x, y) = exp 2x-y x+2y -cos 2x-y x + 2y for its homogeneity. If it is

A: Given: The function is fx,y=exp2x-yx+2y-cos2x-yx+2y. To check: The given function is homogenous or…

Q: froblem 2/ Drive the function below. t-y=Vx-secx+3 2-y=(Secx + tanx)(secx – tanx) 4-4=5+ Cota tan 9…

A: we have to find the derivative of the following.

Q: Find f(1, 3) and f,(1, 3) for the function f(x, y) = 2x'y² + 2y +4x.

A: Given function is f(x,y)=2x3y2+2y+4x find fx1,3 and fy1,3

Q: Find the values of a and b so that f will be differentiable at x = 3.

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Q: Find all the values of r for the given function defined by y = r³ – 12x where the tangent line is…

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Q: 11. Prove from the definition that the following functions are differentiable. ()- (b) f =xy?

A: By the definition, the function f(x,y)=xy^2 is differentiable if fx(x,y) and fy(x,y) both exist.

Q: Type your answer in the following order and format: a=0,b=4. DO NOT include spaces in between…

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Q: Using linear approximation of f(x,y)=*+Y at (3,2), the value of f(2.94,1.94) estimated to be x-y

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Q: State the interval for which the curve y= 3x* –16x +30x? +2021 is concave down.

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Q: Find the length of the curve y = 4 1 between x 1 to x 2. %3D &x2

A: It is length of curve.

Q: Determine all the relative extrema of the following function S(x,y) =-x* +2x'y- 1 - 4y+12 APPLIED…

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Q: Q1)a) Find line that are tangent the curve x + xy = 1 at the point (-1,0)

A: The given equation of the curve is x2+xy=1 and the point is (-1, 0). Evaluate the slope of the…

Q: The slope of the tangent at a point (x0, y0) of x3 + y3−6x2y = 0, is indicated as 4x0y0 −…

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Q: one of the following pairs of functions are orthogonal on interval [-1, 1] Select one: x.cosx b. x,X…

A: Given the interval [-π,π] and the pair of function. a. x2,cosxb. x,x c. sinx,xd. NOTe. sinx,cosx We…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: