Recall that f is the function that accepts values of h, the drop height in yards, and g is the function that accepts value of d, the drop height in feet. Both functions return the time it takes for a rock to hit the ground when dropped from th given height. j. Which function (f or g) requires a larger magnitude input value to represent the same number of seconds for th rock to hit the ground? function g k. Complete each of the following statements. Think carefully about what each expression represents and how to represent the same quantity value with the other function.

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Chapter2: Second-order Linear Odes
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Recall that f is the function that accepts values of h, the drop height in yards, and g is the function that accepts values
of d, the drop height in feet. Both functions return the time it takes for a rock to hit the ground when dropped from the
given height.
j. Which function (f or g) requires a larger magnitude input value to represent the same number of seconds for the
rock to hit the ground?
function g
k. Complete cach of the following statements. 7hink carefully about what each expression represents and how to
represent the same quantity value with the other function.
i. g(
) f(60)
ii. g(33) f(66
%3!
iii. f(L
)= 9(66)
Box 1: Select the best answer
Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2 3, S+4)
Enter DNE for Does Not Exist, oo for Infinity
Box 3: Enter your answer as a number (like 5,-3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Box 4: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Transcribed Image Text:Question with last attempt is displayed for your review only Recall that f is the function that accepts values of h, the drop height in yards, and g is the function that accepts values of d, the drop height in feet. Both functions return the time it takes for a rock to hit the ground when dropped from the given height. j. Which function (f or g) requires a larger magnitude input value to represent the same number of seconds for the rock to hit the ground? function g k. Complete cach of the following statements. 7hink carefully about what each expression represents and how to represent the same quantity value with the other function. i. g( ) f(60) ii. g(33) f(66 %3! iii. f(L )= 9(66) Box 1: Select the best answer Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2 3, S+4) Enter DNE for Does Not Exist, oo for Infinity Box 3: Enter your answer as a number (like 5,-3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 4: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Expert Solution
Step 1

GIVEN :

Function f accepts the input in yards.

Function g accepts the input in feet.

We know that :

1 yard = 3 feet.

PART j

Function g will require a larger magnitude input value because the input in feet is 3 times the input in yards.

CONCLUSION :

Function g is the answer.

 

Step 2

PART k

FIRST PART

Given that g(  )=f(60)

Here 60 is in yards. Therefore in g it will be 60×3=180 feet

Therefore, g(180) = f(60)

SECOND PART

Given that g(33)=f( )

Here 33 is in feet. Therefore in f it will be 33÷3=11 yards

Therefore, g(33) = f(11)

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