Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

A particle moves along the curve y = 5x2 - 1 in such a way that the y value is decreasing at the rate of 2 units per second. At what rate is x changing when x = 1.

Sagot :

LammettHash

Given

y = 5x² - 1

differentiating both sides with respect to time t yields

dy/dt = 10x dx/dt

We're told that y decreases at a rate of 2 units/s, which means dy/dt = -2. At the moment x = 1, we have

-2 = 10•1 dx/dt   ⇒   dx/dt = -2/10 = -1/5

which is to say, the x value decreases at a rate of 1/5 units/s.

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.