3 T-shirts and 2 hats cost £14 2 T-shirts and 7 hats cost £15
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Answer:
<u>Fred.</u>
Started hang gliding at a height of 700 ft and descends 15 feet every seconds
<u>Gene</u>
Started hang gliding at a height of 575 ft and descends 10 feet every seconds
Step-by-step explanation:
The function that models Fred's hang gliding is
The initial value is 700 feet. This Fred was 700 feet above see level before he starts descending.
The rate of descent is -15 ft/s. This means Fred descends 15 feet in one second.
From the table the initial height is 575 ft. This means Gene was 575 feet above sea-level at the beginning of the hang gliding.
The rate of descent is ft/s.
This means that in every seconds, Gene descends 10 feet.
If you're just integrating a vector-valued function, you just integrate each component:
The first integral is trivial since .
The second can be done by substituting :
The third can be found by integrating by parts:
