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1) Find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1
2) Compute the work done by the force ?eld F(x,y,z) = x^2I + y j +y k in moving a particle along the curve r(t) = (t,sin(t),cos(t)) where t is greater than or equal -pi and less than or equal pi.
Prove that one of every three consecutive integers is divisible by 3. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1, 3q +
The Addition Rule: Mutually Exclusive Events P(A or B or C) = P(A) + P(B) + P(C) This can be represented by the Venn diagram as follows:
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 317317 people over the age of? 55, 7777 dream in black and? whi
objective of linear programming?
limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and 2 to 2x and apply the limit from 0 to 2 answer is 12.
5-4
how do you find the distance between the sun and earth
evaluate limit as x approaches 0 (x squared times sin (1/x)
Kwai made 5 pints of iced tea. How many cups of tea did he make?
Q. Suppose Jessica has 10 pairs of shorts and 5 pairs of jeans in her drawer. How many ways could she pick out something to wear for the day? What is the probability that she pick
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