Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)

a. y=3sinx
b. y=3xsinx-5xcosx
c. y=-3/2xcosx
d. y=3cosx
e. y=3/2xsinx

C

Step-by-step explanation:

We must compute the derivatives and check if the equation is satisfied.

A. . Differentiate again to get , then so this choice of y doesn't solve the equation.

B. and , then so y is not a solution

C. hence . Then so y is a solution.

D. and , then thus y isn't a solution

E. hence . Then then y is not a solution.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew