Find the unit tangent vector, the principal normal vector, and an equation in x, y,z for the osculating plane at the point on the curve corresponding to the indicated value of t. rtí) = (3cos(2t))i +(3sin(2t))j+2tk t=1/4Pi A) (T=3/10root10i+1/10root10k, N=j, plane(x+1+3z-3Pi)=0)
B) (T=3/10root10i+1/10root10k, N=-j, plane(x+3z-3/2Pi)=0)
C) (T=3/10root10i+1/10root10k, N=-j, plane(2x+2-3z+3/2Pi)=0)
D) (T=3/10root10i+1/10root10k, N=j, plane(-x+3z-6)=0)

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

believe it or not anna is correct good job anna give me a fist bump there u go gal

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step-by-step explanation:

ever thing time 1 is a multiply by 1 it get  

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.