6) Mr. Ropke needs to bulk up for his cage fight. His trainer has prescribed a rate of energy intake given by the function E'(t) = 350(80 + 0.15t)0.8 – 18t – 9600 calories per day. Find his total energy needs over the first two weeks of training. Solution? 350(80 + 0.15t)08 – 18t – 9600 dt = 350| (80+0.15t)08 dt - 18t + 9600 dt 82.1 1 u = 80 + 0.15t →| (80+0.15t)°8 dt = - .15. u0.8 du 350 r82.1 . 15 . 350 [u18182.1 u0.8 du 18t + 9600 dt =. - (9t? + 9600t]“ .15 1.8 80 80 350 (82.118 – 8018) – (9(14)² + 9600(14)) (. 15)(1.8) z 28700 calories (3SF)

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Identify if there are any errors in the solutions, and state what they are. Thanks

6) Mr. Ropke needs to bulk up for his cage fight. His trainer has prescribed a rate of energy intake given by the
function E'(t) = 350(80 + 0.15t)0.8 – 18t – 9600 calories per day. Find his total energy needs over the first two
weeks of training.
Solution?
14
14
14
350(80 + 0.15t)0.8 – 18t – 9600 dt = 350
(80 + 0.15t)08 dt –
18t + 9600 dt
14
-82.1
u = 80 + 0.15t →
1
(80 + 0.15t)0.8 dt
y0.8
du
15
80
14
350 (82.1
350 (u1.8182.1
u0.8 du -
18t + 9600 dt =
- [9t2 + 9600t]¿*
.15
80
.15 | 1.8
80
350
(82.1.8 – 8018) – (9(14)² + 9600(14))
(. 15)(1.8)
z 28700 calories (3SF)
Transcribed Image Text:6) Mr. Ropke needs to bulk up for his cage fight. His trainer has prescribed a rate of energy intake given by the function E'(t) = 350(80 + 0.15t)0.8 – 18t – 9600 calories per day. Find his total energy needs over the first two weeks of training. Solution? 14 14 14 350(80 + 0.15t)0.8 – 18t – 9600 dt = 350 (80 + 0.15t)08 dt – 18t + 9600 dt 14 -82.1 u = 80 + 0.15t → 1 (80 + 0.15t)0.8 dt y0.8 du 15 80 14 350 (82.1 350 (u1.8182.1 u0.8 du - 18t + 9600 dt = - [9t2 + 9600t]¿* .15 80 .15 | 1.8 80 350 (82.1.8 – 8018) – (9(14)² + 9600(14)) (. 15)(1.8) z 28700 calories (3SF)
Expert Solution
Step 1

The energy intake of is related to time as,

=> E'(t) = 350 X (80 + 0.15t)0.8 - 18 t - 9600

And the total time given is 2 weeks i.e 14 days (because 1 week = 7 days).

 

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