Questions & Answers
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- Solve the differential equation by variation of parameters. y” + y = sin x.
- Find a basis for the space of 2×2 lower triangular matrices.
- Compute the following binomial probabilities directly from the formula for b(x, n, p).
- If f is continuous and integral 0 to 4 f(x)dx = 10 , find integral 0 to 2 f(2x)dx.
- find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 3, 0), (-2, 0, 2),(-1, 3, -1).
- The next number in the series 38, 36, 30, 28, 22 is?
- Find the domain and range of these functions.
- Let f be a fixed 3×2 matrix, and H be the set of matrices A belonging to a 2×4 matrix. If we assume that the property FA = O holds true, show that H is a subspace of M2×4. Here O represents a zero matrix of order 3×4.
- A system consisting of one original unit plus a spare can function for a random amount of time X. If the density of X is given (in units of months) by the following function. What is the probability that the system functions for at least 5 months?
- Find a basis for the eigenspace corresponding to each listed eigenvalue of A given below:
- In how many different orders can five runners finish a race if no ties are allowed?
- Identify the surface whose equation is given. ρ=sinθsinØ