hi i was just wondering if u could help me with this math problem. find dy/dx at the indicated point in two different ways (a)solve for y as a function of x and differentiate (b) differentiate implicity.

1. y^2=3x+1 (5, -4)
how do u do this in two ways? im confused. and whats the difference btwn those two ways and B??

You have
y2=3x+1 at p=(5,-4)
You can solve it implicitly by treating y as a function of x as
2y*dy/dx = 3
You can solve it as a function of x explicitly as
y = sqrt(3x + 1)
However, the question wants you to evaluate the negative branch of the function, so you need to use
y = -sqrt(3x + 1)
then differentiate to get
dy/dx = -1/(2sqrt(3x + 1)) * 3
Check that you get the same answer when you evaluate them at p.

jamal wants to by 70$ speakers for his computer. he plans to save 5$ a week for 10 weeks. his dad said he would give jamal 25$. write an equation to show how much jamal will have after 10 week

To write an equation to show how much Jamal will have after 10 weeks, we need to consider his weekly savings and the additional amount his dad will give him.

Let's break it down:

Jamal's weekly savings: $5 per week
Number of weeks: 10
Total savings from his weekly savings: $5 x 10 = $50

Amount his dad will give him: $25

Total savings after 10 weeks: $50 (weekly savings) + $25 (amount from his dad) = $75

Therefore, the equation to show how much Jamal will have after 10 weeks is:
Savings = $50 (weekly savings) + $25 (amount from his dad) = $75