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Identify the definite integral that represents the volume of the solid formed by revolving the region bounded by y=x^3, y=1, and x=2 about the line y=10.
Solving probability problems based on combinations
Probability : Selection Without Replacement and Stirling's Formula, A box contains 3n red balls and 3n white balls. 2n balls are selected at random without replacement, express the probability p
A linear transformation L:V->V is said to be idempotent if L dot L = L. If L is idempotent, show that there exists a basis S={a1,a2,...,an} for V such that L(ai)=ai for i= 1,2,...,r
Find the inverse of the matrix.
Find the value of "a" that makes the following function differentiable at x = 2.
A segment has endpoints with coordinates (2,-7) and (5,1). Find the length and midpoint of the segment.
Define f(x) = x if x is rational and f(x)=0 if x is irrational. Compute the integration 1top0bottom f dx and integration 1top0bottom f dx. is f integrable on [0,1]?
How many solutions exist for aquadratic equation? explain. How do we determine whether the solutions are real or complex?
Applications of exponential function: Principal, rate, time - evaluate an exact solution and the check your solution using the estimate of the "law of 72".
How many committees are there? How many committees of 5 can be formed from 8, given that two particular individuals are to be included on the committee?
Question about Elliptic boundary value problem, Uxx means second derivative with respect to x, Uyy means second derivative with respect to y
Find Probability -Length of Machine Produced Metal Strips. Length of metal strips produced by a machine are normally distributed with mean length of 150 cm
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