The answer to this question is y' = 10x^2 + 6. You have to use the power rule to bring the exponent down as a coefficient and then reduce the exponent by 1. Do it for all the terms using the sum rule for derivatives (derivative of a sum of the sum of its derivatives).
Answer:
gftfyuoppoiu7644wqqettuiopouytrewesdffhjklju
Step-by-step explanation:
gffggghhhjjklliigg
Answer:
3/4 of the area of the circle is of 
squared units.
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
In which the center is 
and r is the radius.
Area of a circle:
The area of a circle of radius r is given by:
Circle (x+2)² + (y-5)² = 64
Comparing with the standard equation, we have that:
Area of the circle:
What is 3/4 of its area?
3/4 of the area of the circle is of squared units.
Answer:
19ft
Step-by-step explanation:
Given the height of a ball above the ground after x seconds given by the quadratic function y = -16x2 + 32x + 3, we can find the maximum height reached by the ball since we are not told what to look for.
The velocity of the ball is zero at maximum height and it is expressed as:
V(x) = dy/dx
V(x) = -32x+32
Since v(x) = 0
0 = -32x+32
32x = 32
x = 32/32
x = 1s
Get the height y
Recall that y = -16x² + 32x + 3.
Substitute x = 1
y = -16(1)²+32(1)+3
y = -16+32+3
y = -16+35
y = 19ft
Hence the maximum height reached by the ball is 19ft
