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Answer:
Step-by-step explanation:
If the engine torque y (in foot-pounds) of one model of car is given by y=−3.75x^2+23.2x+38.8
The engine speed is at maximum if dy/dx = 0
dy/dx = -2(3.75)x+23.2
dy/dx = -7.5x + 23.2
since dy/dx = 0
0 = -7.5x + 23.2
7.5x = 23.2
x = 23.2/7.5
x = 3.093
Hence the maximum torque is 3.09 rev/min
No
Given 3 sides of a triangle, the sum of any 2 sides must be greater than the third side.
Consider the 3 given sides 1, 7 and 11
7 + 11 = 18 > 1
1 + 11 = 12 > 7
1 + 7 < 11 ⇒ not valid
Hence these sides do not form a triangle
SI =[PRT]/100
Interest = $15.62
Principal = $31
Time = 8
15.62 =[31 x R x 8]/100
15.62 x 100 = [31 x 8 x R]
[15.62 x 100] / [31 x 8] = R
1562/248 = R
6.298 = R
To the tenth
6.3 = R
Check
[31 x 6.3 x 8]/100 = 15.62
Hope that helps
Blank equals 2 because 543-2=541
