D¹(²)y(x) + Dª(²)y(x − 0.01) + y¨ (x) (39 − y(x) = g(x), x = [0,h], solv using the subjected conditions are shifted Legendere

Q: Please draw and make a short explanation about of this pmf : p(y) = 1/(y+1) for y = 0, 1, ..., 6.

A: Given : Equation : p(y) = 1/(y+1) defined for y = 0,1,2,3,4,5,6 The following graph is obtained

Q: (7) (a) Find the linear approximation L(x, y) to the function f(x, y) = √² + y² + 4 at the point…

A:

Q: 1. Let F(x, y) = 25x³ + 120x²y + 192xy? + 102y³ – 300x – 450y. Find the following: | ƏF (i). OF…

A:

Q: true or false :  There exists a function F of two variables x, y such that dF = (x − y)dx + (x +…

A:

Q: Find the Green's function G" + k²G = 8(x − s), Gʻ(0, s) = 0, G′(0,π) = 0 -

A: To find the Green's function G(x,s) for the given differential equation G′′+k2G=δ(x−s), subject to…

Q: Given z = (2x-y), find 0³ z (a) Əyəxəy 0³ z (b) ex²dy 24 = (c) ôxay

A:

Q: Suppose f(x, y, z)=x+y+z, h(x,y) = (x + y, x³, y) and g(x) = (x,x²). Calculate d =z=of oho g(x). dx

A:

Q: p) Determine | (hVx +r) dx (where h, r are real numbers).

A:

Q: xy If z show that: x- y

A:

Q: Suppose that y is a function of u, u is a function of x, and u = -1 when x = 2. If du/dx|x=2 = 3 and…

A: Solution

Q: show that | | J.(x)dx x² J,(x)dx = x²J¼(x) + x J,(x) – %3D

A: Apply the integration by parts method and use the identity ∫xpJp-1xdx=xpJpx, to evaluate the…

Q: Suppose that f(x, y) = 7, and D = {(x, y) | x² + y² ≤ 1}. S f(x,y) dx dy =

A: Tou have to know the following result to solve this problem

Q: Let U(z, y) (2x +3)(y+5). %3D Select the correct expressions for Uz and Uy: (A). Uz= 2x+3. %3D (B).…

A:

Q: The position of an object at time t is r(t) = (7 + t)i + e'j. Eliminate the parameter 1 to find y as…

A: Given the position of an object at time t is r ( t ) = ( 7 + t ) i + et j . We eliminate the…

Q: Consider f(x, y) = (2x² + xy + 1, xy, x² + y²) and let c = (1,-1). Find Df(c) by definition.

A:

Q: hup lict funcrion F(xig) = x?y -eto =0 P(e, 1) Find y" (e) = ?

A: Here to use implicit diffrentiation method for solving the problem

Q: Find R f(x, y) dA where f(x, y) = 3x + 1 and R = [1, 2] × [−2, 4]. SSR f(x, y) dA = Submit answer…

A:

Q: Write the function f(x,y) = xcosh(x)cos(y) - ysinh(x)sin(y) + i(xsinh(x)sin(y) + ycosh(x)sin(y)) in…

A: f(z)=Re(z)cosh(Re(z))cos(Im(z))−Im(z)sinh(Re(z))sin(Im(z))+i(Re(z)sinh(Re(z))sin(Im(z))+Im(z)cosh(Re…

Q: If z=xtiy where x and y are real, find the real and imaginary parts of:- Z-1 Z+1 ピージ (x+アア 2.xy…

A:

Q: What is the value of x in (2x - jy) + (y - jx) = 1 - j5?

A: We have to find the value of x where 2x-jy+y-jx=1-j5

Q: e-2¤1 + 5x2x% 8. Let y(x1, x2, x3) = #3«3 – 20| and F (x1, #2, T3) = ( n - хо — 2.х1 + sin x3 - (a)…

A: Solution: Given that

Q: (4x² + y²) dx + x(x-2) dy =6 Verify that M(x,y) = 4x² + y² and N(x, y) x (x-2) are homogenous 1-

A:

Q: Find ff f(x, y) dA where f(x, y) = 3x + 1 and R= [0, 3] x [1,3]. R SSR f(x, y) dA =

A:

Q: Find dydx for…

A: the given equation of the curve is: y3+y2-5y-x2+4=0 we have to find the value of dydx

Q: Find all values of x and y such that fx(x, y) f(x, y) = x² + 5xy + y² - 15x - (x, y) = ([ = 0 and f…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find y as a function of a if y" − 3y" − y + 3y = 0, y(0) = −9, y'(0) = −8, y'(0) = 7. y(x) =

A:

Q: Find fy(x,y) if f(x,y)= (x+y4) 5. fxy(x,y) =

A:

Q: (x²ex²+y ) f(x,y) = } 7²+y2 , (x, y) # (0,0) 0, (x, y) = (0,0) Calculate fx (0,0) or show why it…

A:

Q: Classify each of the following equations as to order and degree: a. 3dy + (4xy - secx) dx = 0 b. L…

A: