Find a unit vector normal to the level curve f(x,y) = -4x^2 -2y^2 + 5x +...

Find a unit vector normal to the level curve f(x,y) = -4x^2 -2y^2 + 5x + y at the point (1,-2)

Expert Solution

milcah answered 2 years ago

Find the general solution to the ODE y'' − y'/x − 4x^2y = x^2 sinh(x^2)

dx/dt = -5x + y , dy/dt = 4x - 2y

let f(x,y)=x^2y(2-x+y^2)-4x^2(1+x+y)^7+x^3y^2(1-3x-y)^8 find the coefficient of x^5y^3

Find the average value of f(x,y)= 4x+2y over region bounded by coordinate axis and lines x+y=4...

Find the average value of f(x,y)= 4x+2y over region bounded by coordinate axis and lines x+y=4 and x+y=8

2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3....

2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x). f '(x)= 4. Find the derivative of the function f(x)=√x−5/x^4 f '(x)= 5. Find the derivative of the function f(x)=2x−5/3x−3 f '(x)= 6. Find the derivative of the function g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your answer. g '(x)= 7. Let f(x)=(−x^2+x+3)^5 a. Find the derivative. f '(x)= b. Find f '(3)= 8. Let f(x)=(x^2−x+4)^3 a. Find the...

Let f(x, y) = xy3 − x 2 + 2y − 1. (a) Find the gradient...

Let f(x, y) = xy3 − x 2 + 2y − 1. (a) Find the gradient vector of f(x, y) at the point (2, 1). (b) Find the directional derivative of f(x, y) at the point (2, 1) in the direction of ~u = 1 √ 10 (3i + j). (c) Find the directional derivative of f(x, y) at point (2, 1) in the direction of ~v = 3i + 2j.

Find absolute maximum and minimum values of the function f(x,y)=x^2+2y^2 on the curve ((x^2)/81)+((y^2)/100)=1 where x>=0,...

Find absolute maximum and minimum values of the function f(x,y)=x^2+2y^2 on the curve ((x^2)/81)+((y^2)/100)=1 where x>=0, y>=0

1. For the function P(x) = 4x^2 - 16 / x^2 -5x find the a) List X...

1. For the function P(x) = 4x^2 - 16 / x^2 -5x find the a) List X Intercept(s) if any b) List Y Intercept(s) if any c) List Horizontal Asymptote(s) if any d) List Vertical Asymptote(s) if any e) Domain 2. precalculus

Given f''(x)= 4x-6 and f'(-2)=5 and f(-2)=1 FIND: Find f'(x)= and find f(2)=

Consider the equation f(x,y) = −4x2+4x+y2+2y, the picture shows some of it’s level curves. a. Completing...

Consider the equation f(x,y) = −4x2+4x+y2+2y, the picture shows some of it’s level curves. a. Completing the square, write the equations and identify the traces f(x,y) = k for k = −1,0. .(b) Draw the direction of fastest increase at the point (1, 1) .(c) Find the rate of change of f (x, y) = z at (1, 1) in the direction of 〈−1, −2〉. .(d) Find an equation for the tangent plane to the graph of f at (1,...

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