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2 answers:
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Answer:
S(t) = 4.725t + 478.25
S(t) = 4.725(42)+478.25
S(t) = 676.7
Step-by-step explanation:
In the question, score is a function of time, that means time is the x-axis, while score is the y-axis.
Order the pairs to get:
(30,620) and (70, 809)
With these values, you use the the equation to get the slope m.
Use this equation and input any ordered pair to get the final function.
y-y1 = m(x-x1)
y-620 = 4.725x-141.75
y = 4.725x + 478.25
Replace x with t and y with S(t) to fit the x & y axis of the question.
Answer:
Step-by-step explanation:
Given the indefinite integral , using the substitute
x = 4 sec(θ)...1
The integral can be calculated as thus;
First let us diffrentiate the substitute function with respect to θ
dx/dθ = 4secθtanθ
dx = 4secθtanθdθ... 2
Substituting equation 1 and 2 into the integral function we will have;
Find the remaining solution in the attachment.
