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Let f(x,y) = x^2 - y^3
a) Find the gradient of f(x,y) at (3,2).
b) compute the directional derivative (triangle u) f(3,2) where u is the unit vector in the direction of v = <4,3>
c) Find the maximum value of the directional derivative of f(x,y) at (3,2) and the direction in which it occurs.
How do you interpret the solution of a system of equations by the corresponding graph? Please provide example. What is the situation when two linear inequalities have no solution?
I have found the number of deaths in the United States due to each medical condition in each of the following years.
Constraints, Decision variables, Objective functions
Find the midpoint and length of the line segment PQ where P=(2,-7) and Q=(5,1). We will also use vectors to find the length of the segment.
Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and evaluating the function at the midpoints of the subintervals.
What is the probability that more than 10 dogs have trait D? B. What is the probability that at most 11 dogs have trait D? Binomial Distribution and Standard Deviation
The strategy that maximizes the campus bookstore earnings.
I wish to find the general nontrivial solution to the fourth order ODE with boundary conditions
Probability of creating a mini license plate with an R. A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be an R, U or N. Each number must be a 2 or 6
Probability. A grab bag contains 10 $1 prizes, 7 $5 prizes, and 5 $20 prizes. Three prizes are chosen at random. Find the following probabilities.
A simple question on the Mean of a Binomial distribution, 80% of the community favored building a police substation in their neighborhood.
Test BMI difference for all twin pairs
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