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Find the volume of the pyramid with a rectangular base. 11 in height, 12 in length, and 10 in width.
Choices of answers:
a. 120 cubic inches
b. 440 cubic inches
c. 528 cubic inches
d. 336 2/3 cubic inches
e. 1320 cubic inches
The drying rate in an industrial process is dependent on many factors and varies according to the following distribution.
Using the definition of a measurable function, show that any constant function is measurable. Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
Heat Equation Problem, Find the solution u(x,t) of the heat equation: with initial data u(x,0) = x
You are the financial manager of a furniture company. It is your job to create supply and demand graphs that show the break-even point for the company.
In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.
If {Phi_0, Phi_1, ..., Phi_n,...} are orthogonal polynomials in which are normalised to be monic (i.e. have leading coefficient equal to 1) show that ||Phi_k||
Starting with a hypothetical population of 14,000 people and an even age distribution [1,000 in each age group from 1-5 to 66-70 years], suppose that the population initially has a total fertility rate of 2.0 and an average life span of 70 years.
Find the area enclosed by the given curve and the y-axis.
Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C.
Let (a_n) evaluated from n=M to infinity be a sequence of real numbers. Then the limit lim as n-->infinity of a_n exists and is equal to zero if and only if the limit lim as n-->infinity of the absolute value of a_n exists and is equal to zero.
What percentage of Americans earn below $20,000? What percenage of Americans earn above $ 43,000?
Evaluate the value of x for which the power series converges - determine whether or not it converges at the endpoints of that interval.
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