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Solve the following word problem, you will need to know that a cylinder of radius r and height h has volume V = Pi r^2 h. Also, a circle of radius r has area A = Pi r^2 and circumference C = 2 Pi r.
A closed cylindrical can has a radius t and height h.
a) If the surface area S of the can is a constant, express the volume V of the can in terms of S and r.
b) If the volume V of the can is a constant, express the surface area S in terms of V and r.
Find the nth term of the given sequences - Write out the nth term for the continuation of the sequences
The following second order Differential Equations must be solved with the appropriate Infinite Series Method. You may verify DE with other method only after work is shown step by step using the infinite series methods.
Distributive Laws (I) Prove that A intersection (B union C) = (A intersection B) union (A intersection C)
Evaluate the exact value of the trigonometric functions - Use common trigonometric identities for the functions given to find the indicated trigonometric functions.
The measures of the angles of a triangle are in the ratio of 2:3:4. What is the measure of the smallest angle? Each side of a rhombus measures 10 inches. If one diagonal of the rhombus is 12 inches long, what is the length of the other diagonal?
This assignment has questions related to probabiltiy.
Write the given number in standard notation and write the number in standard notation. 8 × 10 6
Calculation of a Laplace Transform from first principles
What is the probability it would be a student, a faculty member, an admin staff member, a faculty or admin staff member and anyone except an admin staff member?
Find the derivative of f(x)= (3-4x^2)/(x^2-x-6) and then determine intervals of increase/decrease,local max and min values and points of concavity and inflection.
The Chi square test
Suppose that a county ordinance requires a 2 1/5% 'fall' for a sewage pipe from the house to the main pipe at the street. How much vertical drop to nearest foot must there be for a horizontal distance of 55 feet.?
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