Answer:
that comes out as 12x + 6
Step-by-step explanation:
that's because the number before the brackets u time it by the number/s in the brackets and that gives the answer if you want a farther explanation message me
Answer:
1/7
Step-by-step explanation:
You have to multiply across the top then the bottom.
The general solution, y(t), which solves the problem by the method of integrating factors is; y = ¹/₂₁t⁴ + (1/t)c₁t^(⁴/₅)
<h3>How to solve differential equations?</h3>
We want to find the general solution of;
5t(dy/dt) + y = t⁴
We will divide through by 5t to get;
(dy/dt) + y/5t = t³/6
Using Integration factor, we have;
u(t) = e^∫(¹/₅t) dt = t^(¹/₅)
Thus, we now have;
[t^(¹/₅)](dy/dt) + [t^(¹/₅)]y/5t = [t^(¹/₅)]t³/6
Completing this with a differential calculator gives us the general solution as;
y = ¹/₂₁t⁴ + (1/t)c₁t^(⁴/₅)
Read more about differential equations at; brainly.com/question/17201048
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<h2>
At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.</h2>
Step-by-step explanation:
We have equation for volume of a sphere

where r is the radius
Differentiating with respect to time,

Given that
Radius, r = 24 cm

Substituting

At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.