Determine the directional derivative
Determine the directional derivative on the surface z=f(x,y)=3(x^2)(y^3) at the point (7,2) in the direction of vector i + j ? Round off to the nearest integer.
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A production procedure produces 90% non-defective parts. A sample of 10 parts from production process is chosen. Determine the probability that the sample will contain 2 to 6 defective parts?
Determine the smallest natural number N such that any amount n>=N can be paid using $2 and $5 bills by using strong induction.
Assume A is a matrix with pivot position in every row. Is it true that the columns of A form a linearly indpendent set? If so, explain why. If false give a counter example.
Which of the following isn't the credit risk faced by a trader who purchases a call option?
In the US Senate, each of 100 Senators has one vote, and vice president of US can vote also if it is necessary to break tie. If simple majority is required to pass a bill, what constitutes a winning coalition, and what constitutes a blocking coal
Determine an example of a family {Un : n is an element of N} of open sets of R for which the intersection from n=1 to infinity Un is not open.
Carry out eulers method twice to approximate to this solution on interval [0, 0.5], first with step size h = 0.25, then with step size h = 0.1. Compare the three decimal-place values of the two approximations at x = 0.5 with the value y(0.5) of th
A copper pipe, employed for plumbing from the water main to a house, is 5 meters long and has a circular cross-section 2.8 cm in diameter. There is a 2 cm diameter hole in the center of the cross-section for the entire length of the rod. What is
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