Answer:
Choice C. -17
Step-by-step explanation:
6 to 7 = -13
7 to 8 = -15
8 to 9 = =17
2+3/5x-1-1/4x
2+3x-1/5-1-x/5
2+3/5x-1-x/5
1+3/5x-x/5
1+2/5x
The rate of change of the distance from the particle to the origin at this instant is 3 units per second.
<h3>What is the rate of change?</h3>
The instantaneous rate of change is the rate of change at a particular instant.
A particle is moving along the curve
The rate of change of y is given as:
dy / dx = 2
by differentiating both sides,
From the question, we have:
(x, y) = (5,24)
Substitute 5 for x and dy / dx = 2
Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.
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Answer:
Step-by-step explanation:
Givens
pi = 3.14
d = 10 cm
h = 2*d
Formula
- The top of the cylinder is a solid circle. So the area of the circle is pi r^2
- There is both a top and bottom to the circle so the fomula is 2*pi*r^2
- The surrounding area of the cylinder is the circumference of the circle times the height. The circumference of the circle is 2*pi*r.
- Then you just multiply by the height.
- formula = 2*pi * r * h
The combined formula is given below.
SA = 2*pi*r^2 + 2*pi*r * h
Conversions
d = 10 cm
h = 2*10
h = 20 cm
r = d/2
r = 10 / 2
r = 5cm
Solution
SA = 2*pi*r^2 + 2*pi*r * h
SA = 2*3.14*5^2 + 2*3.14*5*20
SA = 157 + 628
SA = 785 cm^2
Answer: The surface area is 785 cm^2