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.
Read more about rates of change at:
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Answer:
4.375cm
Step-by-step explanation:
You have to look at what volume equals Volume= l×w×h so 3/2 × 5/4 × 7/3
Answer:
-7/2 or -3.5
Step-by-step explanation:
h = 20
= h = 35 = h = 70 (2h) (2h)
19h = 35h = 70(2h)(2h)
16h = 70(2h)(2h)
-70 = 20h
-7/2 = h
-3.5 = h
Answer:
Instead of moving the 3x to the opposite side of the equation they moved the 2x. And the correct answer is x=-6 not x=6.
Step-by-step explanation:
Student Work:
2(x + 4) – 8 = 3x+10-4
2x + 8–8 = 3x + 6
2x = 3x + 6
- 3x – 3x
X = 6
My work:
2(x+4)-8=3x+10-4
2x+8-8=3x+6
2x=3x+6
-x=6
x=-6
Area = length x width
area = 2 3/4 x 2/5
area = 1 1/10 feet :)