Let exyz = 2. Find zx and zy in 3 ways and check for agreement. a. use result of a previous exercise (i.e. Assume that F(x,y,z(x,y))=0 implicitly defines z as a differentiable...

Let exyz = 2. Find zx and zy in 3 ways and check for agreement. a. use result of a previous exercise (i.e. Assume that F(x,y,z(x,y))=0 implicitly defines z as a differentiable...

f(x, y)= x2+4xy-y2; P(2,1) a. find unit vectors that give direction of steepest ascent and steepest descent at P. b. find a vector that points in a direction of no...

The function F(x,y) is deﬁned by F(x,y) =∫xx/y e-(t^2) dt Find Fx,Fy and verify that (∂Fx)/∂y = (∂Fy)/∂x .

A mountain having an elliptical base can be described by the equation z = 25−x2 −4y2. A climber will try to reach the top starting at the point of coordinates (3,2,0). The climber wants to be always...

f is function of a single variable; assume it is at least twice differentiable. Let z = g(x,y) be a function of x and y and let u = u(z) = f(g(x,y)). Establish the following...

Find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = x2 + 4xy + y2 − 34x − 32y + 38

For f(x, y), find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = 36 x + 6 y + xy

Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 4 ln(x − y)

Consider the initial value problem: dy/dx=y^2 + 5y − 6, y(X0) = (Y0) (a) Verify that the hypotheses of the existence and uniqueness theorem are satisfied. (b) Suppose that...

and i would like steps if possible to help explain how you got the answer

Show that f(z)=[sin(PI/z)]/(z+2) is nowhere analytic for |z|<a , where a is a some positive number. Can you help me to solve this problem?

I do not understand the steps for the Lagrange Multipliers

Evaluate the double integral D of 3/(4 +y^3) where D= {(x,y) | 0 <x <1, x^(1/2) <y <1}

y= lnx Hi, Im having problems with the algebra aspect of solving this. This is where Im at so far : k(x)= l y''(x) l / [ 1+(y'(x))2 ]3/2= (1/x2)...

More specifically, what geometrical properties does a function need to have, in order to satisfy the laplace equations? (other than it being 2nd order differentiable)

Hi, I need to know if Im right. Function is : f(x,y)= (ln(2-x))/(1-x2 -y2 ) so x <2 and x2 +y2 <1 Graphing this, I shaded everything less than...

How do I draw for f(x,y)=ln (x2 +4y2 )

Consider the curve C given by the equation: C · · · √ x + √ y = √ a, where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and (0, y1) are x...

Evaluate the triple integral of x^2 where D is the region inside the cylinder x^2+y^2=9 which is bounded below by the plane z=0 and bounded above by the plane 4x+4y+z=19 I...

Given any Cartesian coordinates, (x,y), there are polar coordinates (r,θ) with (-pie/2) < θ ≤ (pie/2). Find polar coordinates with (-pie/2) < θ ≤ (pie/2) for the following...

Joyce M.

Expert Math Tutor helping students succeed for 25 years!

Greenwich, CT

5.0
(42 ratings)

Alexi H.

Patient Calculus Tutor w/ University Teaching Experience

Washington, DC

5.0
(220 ratings)

Alexander B.

Experienced Math Tutor

Cincinnati, OH

4.9
(542 ratings)