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Production The rate of change of the output of a small sawmill is modeled by
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Chapter 5 Solutions
Bundle: Calculus: An Applied Approach, Loose-Leaf Version, 10th + WebAssign Printed Access Card for Larson's Calculus: An Applied Approach, 10th Edition, Single-Term
- Dialysis A model that estimates the concentration of urea in the body for a particular dialysis patient, following a dialysis session is given by C(t,g)=0.6(0.96)(210t/1500)1+gt126t900[1(0.96)(210t/1500)1]. Where t represents the number of minutes of the dialysis session and g represents the rate at which the body generates urea in mg per minute. Source: Clinical Dialysis. a. Find C(180,8). b. Using the total differential, estimate the urea concentration if the dialysis session of part was cut short by 10 minutes and the urea generation rate was 9 mg per minute. Compare this with the actual concentration. Hint: First, replace the variable g with the number 8, this reducing the function to one variable. Then use your graphing calculator to calculate the partial derivatives Ct(180,8). A similar procedure can be done for Cg(180,8).) c. d.arrow_forwardA Skydiver When a skydiver jumps from an airplane, his downward velocity, in feet per second, before he opens his parachute, is given by v=1761-0.834t, where t is the number of seconds that have elapsed since he jumped from the airplane. What is the velocity after 5 seconds?arrow_forward
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