Belkis is pulling a toy by exerting a force of 1.5 newtons on a string attached to the toy. the string makes an angle of 52 degrees with the floor. what could be the vertical and horizontal components of the force? a. ≈ 1.18n; ≈ 0.92 eb. ≈ 1.07n; ≈ 0.09 e c. ≈ 1.18n; ≈ 0.09 e d. ≈ 1.07n; ≈ 0.92 e

(A) 1.18 North, 0.92 East

Step-by-step explanation:

The vertical component is sin 52° times the Force of 1.5 newtons

⇒ 1.5 sin 52° = 1.18

The horizontal component is cos 52° times the Force of 1.5 newtons

⇒ 1.5 cos 52° = 0.92

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.