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For f(x,y) = x3 - y3 + xy, Answer the following
a. ∇f(1, -2)
b. Find the directional derivative of the function f at the point (1, -2) in the direction of the vector v→ = (1/2)i→-(1/2)j→.
c. When standing on the graph o f z = f ( x, y ) above the point (1 ,-2), in which direction is the steepest upward grade on the graph.
d. What is the minimum value of the directional derivative of f at the point (1,-2).
e. Find a vector u so that D f ( 1 , - 2 ) = 0.
1.) Find the length of the curve (called a semi parabola) given by: y^2=x^3 from the pint (1,1) to the point (9,27) 2.) find the length of the Curve y= (x^2) - (1/8)ln(x) from 1≤x≤5
An Employee made $388 for the week and sold $103 in product. If the employee gets 20% commission on the products sold and with holding tax is $38 how much is the employees take home pay?
What percentage of days in February has minimum temperatures below freezing left parenthesis 32 degrees Upper F right parenthesis(32°F)
If the graph of a function has three x intercepts, then it must have at least two points at whch its tangent line is horizontal. If f'(x) = 0 for all x in the domain of f, then f is a constant function.
Two investments totalling $56,000 produce an annual income of $2220. One investment yields 9% year, while others yield 3% a year. How much is invested at each rate?
an archaeological sample has only 25 of c-14 as much as in a living sample.knowing that the half-life of c-14 is 5800
A helicopter flies 192 miles against the wind in 2 hours. With the wind, it can fly 288 miles in the same amount of time. Find the speed of the helicopter in still air.
Explain why such data may be misleading if the number of people exposed to the risks is increased by, for example, the expansion of the housing estate.
Find the fundamental matrix and use this to determine the general solution
Find the Net Present Value Rounded to two decimal places
What is your average daily balance at the end of the month on your card?
The drying rate in an industrial process is dependent on many factors and varies according to the following distribution.
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