VA Sec 4.1 Related Rates - MATH 10. x Course Hero * M Inbox (75) - luketry@gmail.com - x C Chegg Search * 60 GeeklyHub + X - C webassign.net/web/Student/Assignment-Responses/last?dep=28194873 DOTATOL 4. [0/1 Points] DETAILS PREVIOUS ANSWERS OSCALC1 4.1.014-015.WA.TUT. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A balloon is at a height of 20 meters, and is rising at the constant rate of 5 m/sec. A bicyclist passes beneath it, traveling in a straight line at the constant speed of 10 m/sec. How fast is the distance between the bicyclist and the balloon increasing 2 seconds later? 351 13 m/sec |>Tutorial X Draw a sketch of a vertically rising balloon labeling its height above the bicycle path y, and a bicyclist that has passed beneath the balloon labeling its distance x. Label the distance between the balloon and the bicyclist D. From this figure, what relationship from geometry gives an equation that relates x, y, and D? Translate the facts given in the problem to mathematical symbols. Using implicit differentiation, solve for the appropriate derivative that answers the "how fast" question. Additional Materials Reading 5. [-/1 Points] DETAILS OSCALC1 4.1.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Draw and label a diagram to help solve the related-rates problem. The side of a cube increases at a rate of - m/'s. Find the rate (in m3/s) at which the volume of the cube increases when the side of the cube is 8 m. Additional Materials Reading Submit Answer 6. [-/1 Points] DETAILS OSCALC1 4.1.020. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Draw and label a diagram to help solve the related-rates problem. The radius of a sphere increases at a rate of 2 m/s. Find the rate (in m]/s) at which the volume increases when the radius is 27 m. Additional Materials Reading 7. [-/1 Points] DETAILS OSCALC1 4.1.025-027A.WA.TUT. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A conical tank has height 3 m and radius 2 m at the top. Water flows in at a rate of 2.1 m /min. How fast is the water level rising when it is 1.1 m from the bottom of the tank? (Round your answer to three decimal places.) m/mir Tutorial Additional Materials Reading 53.F Sunny OLDCEBO E WE 9:37 PM 3/29/2022 23