Find the components of the vertical force Bold Upper FFequals=left angle 0 comma negative 10 right angle0,−10 in the directions parallel to and normal to the plane that makes an angle of theta equals tangent Superscript negative 1 Baseline (StartFraction StartRoot 3 EndRoot Over 3 EndFraction )θ=tan−1 3 3 with the positive​ x-axis. Show that the total force is the sum of the two component forces. What is the component of the force parallel to the​ plane? left angle nothing comma nothing right angle , What is the component of the force perpendicular to the​ plane? left angle nothing comma nothing right angle , Find the sum of these two forces. left angle nothing comma nothing right angle

Solution :

Let be the unit vector in the direction parallel to the plane and let be the component of F in the direction of and be the component normal to .

Since,

Therefore,

From figure,

We know that the direction of is opposite of the direction of , so we have

The unit vector in the direction normal to the plane, has components :

Therefore,

From figure,

∴  

Therefore,

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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step-by-step explanation: