Determine if p(x) = 4x^2 - x is in the following span: W = span{x^2 + x, x^2 - 1, -x + 2}
Determine if p(x) = 4x^2 - x is in the following span: W = span{x^2 +...
Problem 25 please
-Sesin(2x)-9ecos(2x). 21. W = Span(B), where Br(x2e-4x , xe®, e-4x); f(x)--5x2r" + 2e-4-1e 22. W= Span(B),where B= ({x25, x5*, 5x)); f(x)--4x2 5x+9s5x-2(5x). 3 W Span(B), where B (Exsin(2x), xcos(2x), sin(2x), cos(2x)y): f(x) = 4x sin(2x) + 9x cos(20-5 sin(2x) + 8 cos(2x). 24, In Exercise 21 of Section 3.6, we constructed the matrix [D, of the derivative operator D on W- Span(B), where B e sin(bx), e" cos(bx)): Dls a a. Find [D 1g and [D'lg: Observe...
2 = -4 and x3 = 0, with p = 1 and W = span{x1, X2, X3}. 4) Let x1 = -2, X2 3 (a) W is a subspace of R". What is n? (b) Find a basis for W. (c) Isp EW? (d) Give a geometric description of W.
Consider the subspaces U=span{[4 −2 −2],[10 1− 4]} and W=span{[3 −4 −1],[10 2 −2]}.Find a matrix X∈V such that U∩W=span{W}.
Question 8 2.5/2.5 pts Determine the resulting function when the differential operator, D2- 2D + 4 is applied to the function, f(x) = x2 - 5x+3. Correct! 4x2-24x + 24 4x-22 4x + 16 4x2-22x + 22
Determine whether p(x) = −x^2 + x + 2 is in span{x^2 + x + 1, 2x^2 + x}. Please explain the steps.
7. Let W = Span{x1, x2}, where x1 = [1 2 4]" and X2 – [5 5 5]" a. (4 pts) Construct an orthogonal basis {V1, V2} for W. b. (4 pts) Compute the orthogonal projection of y = [0 1]' onto W. C. (2 pts) Write a vector V3 such that {V1, V2, V3} is an orthogonal basis for R", where vi and v2 are the vectors computed in (a).
Multiple Choice: 1. Simplify "1-2x-x+5x-3x2+15+x3 a) x3-4x2+3x -1 (b) x2-4x2 +3x +1 (c) x3-4x-3x +1 (d)+4x +3x +1 2. Expand "logly' x3 a) 2(Logly)+3logx)) ( (d) 2logl)+3loglv) (b) 3log(x) 2logly) (c) 6log(x)logly) 3. quals 5 (b) 55 (c) 64 (d) 10 a) 62
Let V = M2(R), and let U be the span of
S =
2. (a) Let V = M,(R), and let U be the span of s={(1 1) ($ 3). (3), (1 9). (1) 2.)} Find a basis for U contained in S. (b) Let W be the subspace of P spanned by T = {2} + 22 – 1, -2.3 + 2x +1,23 +22² + 2x – 1, 2x3 + x2 +1 -2, 4.23 + 2x2 - -4}. Find...
Verify that the following function is a probability mass function, and determine the requested probabilities. 4x+2 50' Is the function a probability mass function? Give exact answers in form of fraction (a) P(X 4) (b) P(X s 1)- (c) P(2 s X <4) (d) P(X> -10) Statistical Tables an
Determine the point at which the graph of 2x2 + 4x + 2 F(x) = x2 + 4x + 7 intersects its horizontal asymptote. (x, y) = (