Rectangle ABCD is symmetric with respect to y-axis. Points A and B belong to the parabola y=x2. Points C and D are on the parab
ola y=−3x^2+k. Find k if the area of the rectangle is 66 and length of AB is 6.
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Answer:
Step-by-step explanation:
We have been given that an arrow is shot straight up from a cliff 58.8 meters above the ground with an initial velocity of 49 meters per second. Let up be the positive direction. Because gravity is the force pulling the arrow down, the initial acceleration of the arrow is −9.8 meters per second squared.
We know that equation of an object's height t seconds after the launch is in form , where
g = Force of gravity,
= Initial velocity,
= Initial height.
For our given scenario ,
and
. Upon substituting these values in object's height function, we will get:
Therefore, the function for the height of the arrow would be .
Given:
It is given that surface area must be less than 150 cm².
Solution:
The Maximum Volume With Total Surface Area Less than 150 cm² is shown in the table.
From the table, it can be concluded that for r=3.00 cm and h=4.95 cm the surface area will be less than 150 cm² and the volume will be the maximum.
Calculate the volume.
Hence, the required dimensions are r=3.00 cm and h=4.95 cm.
