Answer:
The highest altitude that the object reaches is 576 feet.
Step-by-step explanation:
The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be 
, the first and second derivatives are, respectively:
First Derivative
Second Derivative
Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:
(Critical value)
The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:
The highest altitude that the object reaches is 576 feet.
The first one is (1,10)
The second one is (1,5)
The third one is (0.5,10)
I hope this helps
Answer:
for the triangle on top on side is 8 one side is 4 so if we use the theorem
64+16=80
a=9
so
Side a = 19.8242
Side b = 17.66349
Side c = 9
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 63° = 1.09956 rad = 7/20π
Angle ∠C = 27° = 0.47124 rad = 3/20π
Area = 79.48573
Perimeter p = 46.4877
Semiperimeter s = 23.24385
Answer:
A) The cost of playing n games of bowling is C(n) = $7.50 + (n - 1) . $2.50
Step-by-step explanation:
The cost of first game of bowling for each person = $7.50
Cost after first game per person = $2.50
Total number of games played = n
According to the question:
Total cost of playing n games = Cost of first game + {(n-1) x Cost after first game}
or, C(n) = $7.50 + (n-1)$2.50
Hence, the cost of playing n games of bowling is
C(n) = $7.50 + (n - 1) . $2.50
