Determine whether p(x) = −x^2 + x + 2 is in span{x^2 + x + 1, 2x^2 + x}.
Please explain the steps.
Determine if p(x) = 4x^2 - x is in the following span: W = span{x^2 + x, x^2 - 1, -x + 2} (10 pts.) Determine if p(x) = 4x2 – x is in the following span: W = span {22 + x, x2 – 1, -«+2}.
1. Let S = span{sinạ x, cosa x}. Determine whether (a) 1, (6) sin 22, (c) cos 2x, lie in S.
1. Determine whether C is in span(A,B). O C 1 2 [ 35 ] is in span(A, B). C is not in span(A, B).
Please show work explaining steps, thanks Determine whether or not S = {(x, 2x)|x is a real number} is a vector space or not.
2. (a) Let P, =Span{1, x, x?, x°, x*} be the collection of polynomial with degree at most 4. Con- sider subspace H = Span{1,x, x*}. Prove that H is a subspace of Pg. Find a basis for the subspace H. (b) Now consider the differential operator D : H P, defined by D(1) = 0, D(x) = 1 and D(x3)=3x2. Why this defined linear operator D:H-P? Is the map Donto? Is the map Done-to-one?
span & linear ind. . Determine whether the following sets are linearly independent or dependent: (w){(1,0 G :) ( ) } in Mawa(R). (b) {x3 - 2, 2x2 + 4, -2x3 + 3x² + 2x +6} in P3(R).
Determine whether the function is an exponential function. 1) -2x A) No B) Yes 2) 4-x A) Yes B) No 7 A) Yes B) No
Help me please *12. g(x) = 13x - 13 h(x)= x-1 Determine whether each pair of functions are inverse functions. Write yes or no. X10.5(x) = x+6 X 11.f(x) = -4x+1 g(x) = x-6 g(x) = (1 - x) kits yes X 13.f(x) = 2x * 14.1x) = x g(x) = -2x то 15. g(x) = 2x - 8 h(x)=x+4
Consider the following vectors: 2 2 2 10 -3 For each of the following vectors, determine whether it is in span (a, b, cj. If so, express it as a linear combination using a, b, and c as the names of the vectors above 14 < Select an answer > v2 = 216 Consider the following vectors: 2 2 2 10 -3 For each of the following vectors, determine whether it is in span (a, b, cj. If so, express...
please show all steps 1.) 2.) 3. (a) In each of (1) and (2), determine whether the given equation is linear, separable, Bernoulli, homogeneous, or none of these. (1) y = yenye (2) x²y = 3x cos(2x) + 3xy (b) Find the general solution of (1). Given the one-parameter family y3 = 3 +Cx? (a) Find the differential equation for the family. (b) Find the differential equation for the family of orthogonal trajectories. (e) Find the family of orthogonal trajectories....