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- Let u(t)=9t³i + (t²-1)j- 4k. Compute the derivative of the following function. u (tª - 2t) Select the correct choice below and fill in the answer box(es) to complete your choice. A. The derivative is the scalar function B. The derivative is the vector-valued function i + + ( )j + (k.Find the domain of the vector function r(t)=⟨ln(19t),sqrt(t+8),1/sqrt(7−t)⟩ using interval notation.Find the domain of the vector-valued function r(t)=ln(t-1)i+Square root 4-tj
- Find the derivative of the vector function r(t) = (200) r(t) = In (15-t²) i+√4+tj-6e² kShow that V. (V x A) = 0.The equation r(t)=(t+2) i+t2−7 j+(2t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t=1 as a product of its speed and direction.
- Find the domain of the vector function r(t)= <e-t , (t-5)1/2 , (7-t)1/2.Let u(t) = 8t³i + (t²-9)j-8k. Compute the derivative of the following function. u (tª - 2t) Select the correct choice below and fill in the answer box(es) to complete your choice. A. The derivative is the vector-valued function B. The derivative is the scalar function. i+ j+ k.Find the derivative, r'(t), of the vector function. r(t) =(√2-7,9,-²) t 8
- Find the domain of the vector-valued function. (Enter your answer using interval notation r(t) = √√√9-²i+t²j - 5tkFind V. (V × F), if F(x, y, z) = 2e®²i+ 2xe"j – 9ev²k. V.(V × F)Let u(t) = 7t³i+ (t² - 9) j - 7k and v(t) = ei + 3e j -e³t k. Compute the derivative of the following function. u(t) • v(t) Select the correct choice below and fill in the answer box(es) to complete your choice. OA. The derivative is the vector-valued function (i+j+k. B. The derivative is the scalar function ...