The correct question is;
A particle is moving along the curve
y=√x. As the particle passes through the point (4, 2), its x-coordinate increases at a rate of 4 cm/s. How fast is the distance from the particle to the origin changing at this instant? (Round your answer to three decimal places.)
Answer:
dS/dt ≈ 4.025 cm/s
Step-by-step explanation:
Let the distance from the origin be S and thus, the formula for that is
S = √x² + y²
The given function is y =√x
Let's plug in the S function for y to get;
S = √x² + (√x)²
S = √(x² + x)
Now, let's find the derivative with respect to time;
So;
dS/dt= [(1/2)/√(x² + x)] (2x+1)dx/dt
Let's plug in the value of x = 4 and dX/dt as 4;
dS/dt= [[(1/2)/√(4² + 4)] x [((2(4)+1)]] x 4
dS/dt= [(36/4)/√5]
dS/dt = 9/√5
dS/dt = 4.025 cm/s
First multiply it to get how much the discount is
so 94*.15= 14.25 then subtract
94-14.25= 79.75
so Rob spent $79.75 after using his coupon
P.S- That's probably a gold racket! LOL
Aruthmetic sequene is
an=a1+(n-1)d
where d=common difference between terms
adds 6 every time
d=6
first term is 8
a1=8
8+6(n-1)
distribute
8+6n-6
8-6+6n
2+6n is answer
Answer:
Step-by-step explanation:
(1/7) / (2/5)
when dividing fractions, flip what u r dividing by, then multiply
1/7 * 5/2 = 5/14 <==
Franks plan is proportional because it goes through the orgin and Allie's plan doens't
