Find the gradient ∇f of the function f given the differential.
df=(5x4+1) yexdx+x5exdy
∇f=
Find the gradient of the function at the given point.f(x, y)=4 x+5y2+5, (3,4)∇ f(3,4)=
Finding the Gradient of a Function In Exercises 15-20, find the gradient of the function at the given point. i L 15. f(r, y3x 5y2 1, (2, 1)
A table of values of a function f with continuous gradient is given. Find C ∇f · dr, where C has the parametric equations below. x = t3 + 1 y = t5 + t 0 ≤ t ≤ 1 x\y 0 1 2 0 2 8 1 1 2 5 6 2 9 3 8
Use the gradient rules to find the gradient of the given function, f(x,y,z) = x+yz y+xz Choose the correct answer below. 1 O A. Vf(x,y,z) = -((1-z?)z(z2 - 1).y? - x?) (y + xz)? OB. Vf(x,y,z) = (z(1-z?)y(z? - 1),z2 + x2) (x + yz)? O c. Vf(x,y,z) = (y(1+z2),x(z? + 1).y? - z?) (x + yz)? OD. Vf(x,y,z) = -(y (1-2²), x(2² - 1), y² - x²) (y + xz)2
1) Write a differential equation describing this system. This means find the equation of the line in the graph. df ar= 1x-80 2) Find the general solution to this differential equation. Find the function f(x) whose derivative is the equation of the line graphed. The solution is: f(r) -.5x 2-80x 3) Now given that function f(x) includes the point (0, 100) find the exact solution of the differential equation found in 1). In addition to general solution you will have...
The gradient vector field for a function f: R2 -> R is given at the left.
Compute the gradient of the function at the given point. f(x, y) = tan-1 *, (8,9)
Find the gradient of the function at the given point. In(x2 - y) - 1, (2, 3) Vz(2, 3) = Need Help? Read It Watch It Talk to a Tutor
Find a function y=f(x) satisfying the given differential equation and the prescribed initial condition. 1 dy dx y(7) = -5 1x + 2
(1 point) Use the "mixed partials" check to see if the following differential equation is exact. lf It is exact find a function F(xy whose differential, dF(x y is the left hand side of the differential equation. That is, level curves F x,y) = Care solutions to the differential equation First: M, (x, y) = | 3-e^x(cosy) and N(x, y)3-enx(cosy) If the equation is not exact, enter not exact, otherwise enter in F(x,y) here (-e1xsiny+3y)+(3x-excosy) (1 point) Use the "mixed...