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asambeis [7]
2 years ago
7

Need help with this function problem

Mathematics
1 answer:
kotykmax [81]2 years ago
4 0

Answer:

  see attached

Step-by-step explanation:

To find the inverse function, solve ...

  x = f(y)

  x = (y^7)/7 -4 . . . . . . . use the definition of f(x)

  x +4 = (y^7)/7 . . . . . . add 4

  7(x +4) = y^7 . . . . . . multiply by 7

  (7(x +4))^(1/7) = y . . take the 7th root

The inverse function is the one shown in the attachment.

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NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t
Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

h(t)=-4.9t^2+121t+283

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

h(t)=0\implies-4.9t^2+121t+283=0

Using the quadratic formula, the solution for our problem is

\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have

h^{\prime}(t)=-9.8t+121

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Then, the maximum height is

h(12.347)=1029.99

1029.99 meters above sea level.

6 0
1 year ago
Hurry please! answer for brainly.
vodka [1.7K]

Answer:

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Step-by-step explanation:

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