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10 Points please help with my calculus HW
A point moves along the curve y = squareroot of X , in such a way that the y-component of the position of the point is increasing at a rate of 5 units per second. At what rate is the x-component changing for each of the following values?
(a) x = 1/5
dx/dt = ___?___
(b) x = 1
dx/dt=___?___
(c) x=4
dx/dt = ___?___


Thank you

10 Points please help with my calculus HW A point moves along the curve y squareroot of X in such a way that the ycomponent of the position of the point is incr class=

Respuesta :

The values based on the calculus computed will be 10✓5, 10✓1, and 20.

How to calculate the value?

dy/dt = 5 units.

Differentiate with respect to t.

dx/dt = 1/2✓x dx/dt

dyldt = 5.

dx/dt = 2✓x × 5 = 10✓x

a. When x = 1/5

dx/dt = 10 × ✓1/5 = 10✓5

b. x = 1

Differentiate it

dx/dt = 10✓1

c. x = 4

dx/dt = 10✓4 = 20

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