Usual limit of sin is sinX/X--->1, when X--->0
sin3x/5x^3-4x=0/0?, sin3x/3x--->1 when x --->0, so sin3x/5x^3-4x= [3x. sin3x / 3x] /(5x^3-4x)=(sin3x / 3x) . (3x/5x^3-4x)
=(sin3x / 3x) . (3/5x^2- 4)
finally lim sin3x/5x^3-4x=lim (sin3x / 3x) .(3/5x^2- 4)=1x(3/-4)= - 3/4
x----->0 x---->0
700, because 8 is 5 and up so it'll be rounded up.
This means that if the model is 1 in lengh then th ereal car is 20 times of that or 20 in legnth
so to find the answer, just multiply model by 20
8.7 =model
real=8.7 times 20=174
real car is 174 inches
12 inches=1 foot
conversion factor
1 ft/12in=1=convesion
so
174 times 1/12=14 and 6/12
the answer is 14 feet and 6 inches or 14.5 feet
-3; -2 3/10; -2 2/5; -2 1/2
Your welcome!
If f(x)=x^2-8x-20 then
dy/dx=2x-8 and d2y/dx2=2
A) Since acceleration is a constant positive the parabola opens upward.
B) Since acceleration is a constant positive the parabola will have a vertex at an absolute minimum
C) The vertex will occur when dy/dx=0, 2x-8=0, 2x=8, x=4
So the axis of symmetry is the vertical line x=4.
The vertex is y(4)=-36, corresponding to the vertex point (4,-36)
The y-intercept occurs when x=0, y(0)=-20, so the y-intercept is the point (0,-20)
