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Use the washer method to find the volume of the solid of revolution formed by revolving the region bounded by f (x)= 3x^2 and g (x)=2x+1 about the x-axis. (Round the answer to 4 decimal places.)
The input consists of two arrays each representing a set of integers (in each array, each value appears only once). The output is an array representing the union of the two sets - again, each value appears only once.
A committee of four is to be randomly selected from a group of seven teachers and eight students. Find the probability that the committee will consist of four students.
Find the average rate of change from x=2 to x=5. Find the derivative f'(x) from first principles, by setting up the difference quotient, (f(x+h)-f(x))/(h) and finding lim h->0 (f(x+h)-f(x))/(h)
The problem states: Find dw/dt (a) using the appropriate chain rule and (b) by converting w to a function of t before differentiating.
Find the probability of having no more than three boys
An electrician charges a fee of $60 plus $45 per hour. Let C(x) be the cost in dollars of using the electrician for x hours. Find the linear cost function.
The percentage of households with a television tuned in to ad-supported cable increased linearly from 24.6% in 1995 to 42.5% in 2009. The percentage of households with a TV tuned into a major network decreased linearly from 47% in 1995 to 32% in 2..
Simplify the logarithmic expressions by using logarithmic properties - Simplify the provided logarithmic expressions
Let a be the permutation (1 2 3) in A_4. What is the order of the element (3, 7, a) in the group U(10) direct product Z_42 direct product A_4.
Modify the Euclidean algorithm to find the greatest common divisor of 2x^3 + x^2 - 2x - 1 and x^2 + 3x + 2. This requires long division with polynomials.
A body at temperature of 55 degree F is placed outdoors where the temperature is 110 degree F. After 5 minutes the temperature of the body is 65 degree F.
Find the gradient of the function and the maximum value of the directional derivative at the indicated point:
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