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find a rational number between square root of 7 and square root of 11
find an irrational number between square root of 7 and square root of 11
Find the maximum and minimum values of x²+y²+z² subject to the conditions x+y+z=1 and xyz+1=0 by using Lagrange's multiplier method
Question 3

An Italian Ice (snowcone) retailer is examining his profits for the spring season of the previous year. He realizes that his sales are based on the daily weather: sunny, average, or cold. He estimates that this year the probability of it being sunny is 0.2, average 0.5, and cold 0.3. His gross sales on these three types of days average $50, $35, and $10 respectively.

a. Find the expected income in any one day.
b. If the average supplies cost $18, what is the expected daily profit?
Solve these:
F(x)={-1, if x<0. Limit
0 , if x=0. x--->0 f(x)
1 , if x>0
The function F(x,y) = (y+cosx, x-1) is conservative. False or True
Find the maximum possible domain, and the corresponding range of the function f given by
f(x) =1/(1 + cos x)
Find the maximum and minimum values of the curve and distinguish them. y=x^3-6x^2+9x+6
Find the maximum and minimum values of the curve and distinguish them. y=x^3-6x^2+9x+6
(8 Marks)
Find the maximum and minimum values of the curve and distinguish them y=x^3-6x^2+9x+6
Differentiate y=x^2(2x-5)^4 with respect to x
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