If tangent to the curve y = √x is parallel to the line y = 8x, then this implies that the tangent to y = <span>√x has the same slope as the line y = 8x. In other words, the derivative (slope) function of y = √x is equal to the slope of the line y = 8x, which is m = 8. Hence y' = 8 once we find y'
y = </span><span>√x = x^(1/2)
Applying the power rule and simplifying, we find that the derivative is
y' = 1/(2</span>√x)
Now remember that y' must equal 8
1/(2<span>√x) = 8
Multiplying both sides by 2</span><span>√x, we obtain
1 = 16</span><span>√x
Dividing both sides by 16, yields
</span><span>√x = 1/16
But wait a minute, √x = y. Thus 1/16 must be the y-coordinate of the point at which the tangent to y = √x is drawn.
Squaring both sides, yields
x = 1/256
This is the x-coordinate of the point on the curve where the tangent is drawn.
</span><span>∴ the required point must be (1/256, 1/16)
GOOD LUCK!!!</span>
Answer:
64π^2 cubic inches
Step-by-step explanation:
The question is not complete, the shapes are not given
Diameter of base= 16π
Radius of base= 8π
Height of cylinder = 8 inches
Let us find the volume of the cylinder
V= πr^2h
V= π* (8π)* 8
V= 64π^2 cubic inches
Hence the volume of the cylinder is 64π^2 cubic inches
Answer: 2.333ft
Step-by-step explanation:
Divide by 12=
28/12= 2.333ft
Please clarify your question
Answer: 60
Step-by-step explanation:
5(14-2) x 2/2
5 x 14 - 5 x 2
70-10 x 2/2
2 diveded by 2
70-10 x 1
60 x 1
60
