du at u(0, t) = 0 = u(x, t) 300 u(r, 0): sen(2n + 1)r 2n +1 n=0

Q: Find the maximum and minimum points of the following: 1 1. y = vx- 2. у %3D х3 — Зх2 -

A: Given; 1) y=√x-1/√x 2)y=x3-3x2.

Q: Find the points on the circle x? + y? = 1 in which f(x, y) = 4xy has an absolute maximum and the…

A:

Q: 11) Find each of the two areas bounded by the curves y=x3-4x and y=x² + 2x Points of intersection:…

A:

Q: Show that the function y = x1/2, x > 0, is strictly concave

A:

Q: -2+z) ds over t e point (0, 0, 0)

A:

Q: Find the absolute minimum value to the nearest integer of f(x,y)=2+ 2x + 2y -x² - y² on the…

A:

Q: Graph and shade the domain of f(x, y) = vy + x² – 2.

A:

Q: If f(x,y,z) = x2 + y2, what is the locus of points in space for which grad f is parallel to the…

A:

Q: express the extreme value theorem for functions of two variables . find the absolute maximum and…

A:

Q: The temperature of a metal plate is given by T(x, y) = e" cosx. Find quadratic and cubic…

A: The temperature of a metal plate is given by .We need to find quadratic and cubic approximations of…

Q: 3. Evaluate f 2xdx + (y + 2)dy along the rectangle with vertices (0, 0), (0,3), (3,3) and (0, 3).

A:

Q: find √x² ds along the line of intersection of the two planes X-Y+z = 0 and x+y+ 2z =0, From origin…

A:

Q: . Sketch the level curves of the function f(x, y) = x² + 2x + y² – 6y corresponding to the z-values…

A:

Q: where Dx = X₁-X₂ and Dy = |Y₁ — Y2]. Assume that the two locations are independent and uniformly…

A:

Q: Find minimum perpendecular distance between given paraboles. y = x2 + 1 y = x - x2

A: To find the minimum distance between 2 parabolas

Q: A rectangular plate with an area of 36 cm? is to be produced on a lathe in such a way that the…

A:

Q: 7. What is the maximum value of the function defined by y = sinx + 4? В. 3 A. 2 C. 4 D. 5

A:

Q: Find the minimum distance from the point (2, 1, 9) to the surface x + y + z = 9.

A:

Q: 3. Find all functions from X = {a,b} to Y = {p,r, t}.

A:

Q: Find m such that the function y= Aex satisfies the equation 2y"=y'+y

A: