Quiz 4 to 8

4. [-/10 Points] DETAILS LARCALC11 2.6.006. Assume that i and y are both differentiable functions of ( and find the required values of dyfat and dx/ at. 2+1 = 169 (a) Find dy/at, given x = 5, y = 12, and dx/dt = 5. dyfat= (b) Find adx/at, given x = 12, y = 5, and dy/at = -5. x/dt = Submil Answer 5. [-/10 Points] DETAILS LARCALC11 2.6.007. A point is moving along the graph of the given function at the rate dx/dt. Find dy/at for the given values of x. y = 2x7 + 7; = 3 centimeters per second (2) x =-1 cm/sec (b) X=0 cm/sec X =1 m/sec Submit Answer 6. [-/10 Points] DETAILS LARCALC11 3.7.006. Find two positive numbers satisfying the given requirements. The product is 178 and the sum is a minimur (smaller value) (larger value) Submit Answer 7. [-/10 Points] DETAILS LARCALC11 3.7.009. Find two positive numbers satisfying the given requirements. The sum of the first and twice the second is 400 and the product is a maximum (First number) (second number) Submit Answer 8. [-/10 Points] DETAILS LARCALC11 3.7.020. A rectangular solid (with a square base) has a surface area of 37.5 square centimeters. Find the dimensions that will result in a solid with maximum volume. cm (smallest value) cm cm [largest value)