
Use implicit differentiation to find dy dc xy2 + y2 = 5x7
Suppose f(x, y) = x2 + y2. Find the directional derivative of the function f at the point P(1, -1) in the direction of 7 = -31 + 4. That is, find Dif(1,-1). 5 14 O 14 5 O 14 5 O 5 14
question 1-10
x2 + y2 = 25. 1. Given: thecircle 2. Find: Use implicit differentiation and find the derivative, y. You can use your book if need be. Relative to problem W1, put in slope-intercept form (that is, y=mx+b) the equation of the tangent line to the circle at (-4,-3). Find each of the following integrals. Be careful! fx-sax ( 10x ax (Note: 1/(x^2) - **(-2)) Sex - 7 Jax 170 - Jos Sex (10x dx Novo - xp]ox S[e*...
Please help explain the following to me
Find (dy/dx)
y2 + x = cos(xy2)
Find the volume of the region enclosed by the cylinder x2 + y2 = 25 and the planes z = 0 and y + z = 25. The volume is (Type an exact answer, using a as needed.)
= xy2 on the circle Question 5. (15 pts) Find the maximum and minimum of f(x,y) x2 + y2 = 1.
3. (a) Consider the paraboloid z = x2 + y2 Find a unit vector normal to the surface of this paraboloid at the point P = (x, y, z) = (1, 2,5). (b) Consider a vector field ä = (xy2 + z)i + (xy + 2)9 + xk where, as usual, i = Î. Ì = û and k = 2 are the unit vectors. Show that a = Vº for some scalar field o.
x2 Find the x and y intercepts for the equation y2 23.(2 pts.) 4 25 x-intercepts y-intercepts
2. (20 pts) Find the surface area of that part of the sphere x2 + y2 + z2-4 that lies inside the paraboloid z x2 + y2.
2. (20 pts) Find the surface area of that part of the sphere x2 + y2 + z2-4 that lies inside the paraboloid z x2 + y2.
3. Find the volume enclosed by z = 4 - x2 - y2, 2= x2 + y2.