3. A stone is dropped into a still pond. The radius r of the circular ripples in

Question

3. A stone is dropped into a still pond. The radius r of the circular ripples incre 3. A stone is dropped into a still pond. The radius r of the circular rpp 0.4m/sec. Find the rate of increase of the area A = 2 when (a) r = 0.1 e rate of increase of the ne radius r of the circular ripples increases at a steady (b)T = 5 4. Find the differentials dy for each function. (a) y = cos x (c) y =x tan x (d) y = 2x-1 5. Sketch the parametric curve x = 1-t, y = t by plotting points. Then find the slope when t-1.

Explanation / Answer

3)area A= r2

differentiate with respect to time t on both sides

dA/dt =2r dr/dt

given radius increases at 0.4m/s

=>dr/dt =0.4

a)r =0.1

dA/dt =2*0.1*0.4

dA/dt =0.25

area increasing at 0.25 m2/s

b)r =5

dA/dt =2**5*0.4

dA/dt =12.6

area increasing at 12.6 m2/s

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.