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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A function assigns the values. The range of the function will be between (-∞,10].
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
The given function f(x)=10-x² is a parabolic function that is negative, therefore, will open downwards. Now, the range of the function can be found as,
f(x)=10-x²
y=10-x²
y-10 = -x²
-y+10 = x²
-y + 10 = 0
y = 10
Thus, the range of the function will be between (-∞,10].
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The answer is B = (-1, -5)
Because -1 to 4 is 5 which is the run from
rise/run
So we would apply 2 - 7
Which would be - 5
Give me brainliest if this helped
Answer:
Step-by-step explanation:
diameter = 8 cm
radius = 8/2 = 4 cm
Area of circle = πr²
= 3.14*4*4 = 50.24 cm²
The question asks per week. So 1.5 cups times 7 days is 10.5 cups.
<span>The pipe leaks </span>10.5 cups<span> every week.</span>
