Answer:
a) DF = 20
b) DF =
Radical Form = sqrt(53)
Decimal Form = 7.28
<span>4000 feet is around 1.2192 km which is more than 1 km. So 4000 feet is longer.</span>
Look at all the choices
we know that at t = 0, the height of the rock is 16
choices H and I do not have a value of 16 at t = 0.
H: h(0) = -5.2(0)² + 24(0) - 12 = -12
I: h(0) = -4.2(0)² + 26(0) - 20 = -20
so we are left with F and G
if we take choice F and plug in t = 1
h(1) = -4.7(1)² - 25(1) + 16 = -13.7
if we take choice G and plug in t = 1
h(1) = -4.7(1)² + 25(1) + 16 = 36.3
only choice G works for us since it has 36.3 at t = 1
you could have also put these points in a graphing calculator and then use the quadratic regression feature to get an equation that will model this data
Answer:
The factors of the given equation are:
Step-by-step explanation:
We have :
Using middle term splitting theorem to factorize the expression :
The factors of the given equation are:
L=Lim tan(x)^2/x x->0
Since both numerator and denominator evaluate to zero, we could apply l'Hôpital rule by taking derivatives.
d(tan^2(x))/dx=2tan(x).d(tan(x))/dx = 2tan(x)sec^2(x)
d(x)/dx = 1
=>
L=2tan(x)sec^2(x)/1 x->0
= (2(0)/1^2)/1
=0/1
=0
Another way using series,
We know that tan(x) = x+x^3/3+2x^5/15+.....
then tan^2(x), using binomial expansion gives
x^2+2*x^4/3+.... (we only need two terms)
and again apply l'Hôpital's rule, we have
L=d(x^2+2x^4/3+...)/d(x) = (2x+8x^3/3+...)/1
=0 as x->0
