Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the set whose sum is the zero vector. (Use S1, S2, and S3, respectively, for the vectors in the set.) (0, 0) = S={(5, 2), (-1, 1), (4, 0)) Express the vector s₁ in the set as a linear combination of the vectors $2 and $3. 51= Need Help? Read It Watch It Submit Answer

If f'(x) = x5, what is f(x)? (Remember the constant of integration.) f(x) =

put these numbers in T form

Let X be a random variable such that E[X] = μ, V[X] =σ², max[X] = My min(X) = m with 0 Not egual to m < M and consider its normalization: E[Y] =μ M-m Determine whether the following statements are true or false. Perform the corresponding calculations. E[Y] μ V[Y] = M-m 2 σ M-m

Is DDM and CAPM suppose to be the same number?

Please show all work ง 5. Evaluate the vector surface integral JJ (+2², x + 2y + 32², 5x − 2y + 2³) . Ndo. S Here, S is the sphere Sy²+2 1. = Since S is a closed surface, the outside of S is considered as the positive side on S. Hint: use the divergence theorem.

Find the derivative of the function f by using the rules of differentiation. 7 f(x) = -X417 4 f'(x) =

Calculate: In(n) In(1 +r) where n=2, r=0.137, and In is the natural log function.

Which of the following best describes a bijective function? A) It is both injective (one-to-one) and surjective (onto). B) It is only injective (one-to-one). C) It is only surjective (onto). D) It is neither injective nor surjective.

Find at least the first four nonzero terms in a power series expansion about x = 0 for a general solution to the given differential equation. y'' +(x+6)y'+y=0 y(x) = ☐ + ... (Type an expression in terms of a and a₁ that includes all terms up to order 3.)