Let f(x, y) = 7x²y + 2x + 2. Evaluate f(5,5). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(5,5) = Evaluate f(x + d, y). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x + d, y) = Evaluate f(x, y + d). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x, y + d) =
Use the Chain Rule to evaluate the partial derivative at the point (r,0) = (2v2, 4), where g(x, y) = x+, x = 32r cos(o), y = 3r sin(0) (Use symbolic notation and fractions where needed.)
Let F be the equation y=e^5x, let G be the equation x= 7, and let H be the equation y=1 . Find the area of the region enclosed by the graph of these equations.(Use symbolic notation and fractions where needed.) area= (b), Let F be the equation y= sin(11 x), and let G be the equation y= cos(11 x). Find the area of the region enclosed by the graphs of these equations if 0 less than equal to x less...
5. Let f(x,y,z) 4x8 y + 3xy5 + 4yz7. Find the requested iterated partials. (Use symbolic notation and fractions where needed.) fxy Jyz zx fxyz 5. Let f(x,y,z) 4x8 y + 3xy5 + 4yz7. Find the requested iterated partials. (Use symbolic notation and fractions where needed.) fxy Jyz zx fxyz
1 Let f (z, y)5) Find the equation for the tangent plane to the graph of f at the point (3, 3) (Use symbolic notation and fractions where needed.) Hint 1 Let f (z, y)5) Find the equation for the tangent plane to the graph of f at the point (3, 3) (Use symbolic notation and fractions where needed.) Hint
Compute the integral of the vector field F(x, y, z) = (2x, 29, 42) over (1) = (cos(i), sin(i),1) for OSISK (Use symbolic notation and fractions where needed.) F. dr =
Express x = 5t-1, y = 2t-2 in the form y = f(x). (Express numbers in exact form. Use symbolic notation and fractions where needed.) y(x) =
- 2 (3) (a) (7 points) Let w = I = + +7, y = cos(2), z = 4t. Use the Chain Rule to express or in terms of t. Then evaluate du at t= . (b) (7 points) Let w = 2+2y-42 es cos(3t), y e28sin(3t) and 2 = = 22 2r-y+3z) Use the Chain Rule to express and in terms of s and t. = 2 = ow os 8 åt
Use the Quotient Rule to calculate the following derivative for f(x) = 1x + x (Use symbolic notation and fractions where needed.)
Use spherical coordinates to calculate the triple integral of f(x, y, z) = y over the region x2 + y2 + z2 < 3, x, y, z < 0. (Use symbolic notation and fractions where needed.) S S lw y DV = help (fractions)