Question
a point moves on the parabola y=x^2 so that is abscissa increases at rate of 3 feet per second what rate is the ordinate increasing when x=2
ans;12 ft /sec
ans;12 ft /sec
Answers
oobleck
looks good
Bosnian
y = x²
dy / dx = 2 x
Multiply both sides by dx
dy = 2 x dx
Divide both sides by dt
dy / dt = 2 ∙ x ∙ dx / dt
Abscissa increases at rate of 3 feet per second means: dx / dt = 3 ft / s
dy / dt = 2 ∙ x ∙ dx / dt
for x = 2
dy / dt = 2 ∙ 2 ∙ 3 = 12 ft / s
dy / dx = 2 x
Multiply both sides by dx
dy = 2 x dx
Divide both sides by dt
dy / dt = 2 ∙ x ∙ dx / dt
Abscissa increases at rate of 3 feet per second means: dx / dt = 3 ft / s
dy / dt = 2 ∙ x ∙ dx / dt
for x = 2
dy / dt = 2 ∙ 2 ∙ 3 = 12 ft / s