Answer:
It would not change
Step-by-step explanation:
Because if you add you get the same thing
Answer:
52,047.96
Step-by-step explanation:
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
Answer:
a.No
b.-7/2, it is at (4,-7/2)
c.-5?4, it is at (2,-5/4)
d.All real numbers except 6
e.3
f.-1/2
Step-by-step explanation:
a. Plug it in! f(5)=((5)+3)/((5)-6)=-8, so no!
b. Plug it in! f(4)=((4)+3)/((4)-6)=-7/2
c. Plug it in! f(2)=((2)+3)/((2)-6)=-5/4
d. If it were to be 6, then it would be 3/0 which would be undefined.
d.f(-3)=((-3)+3)/((-3)-6))=0/8
f.f(0)=((0)+3)/((0)-6)=-1/2
Answer:
1st option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (9, - 1)
m = = = = - , then
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (9, - 1 ) , then
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - x + 5 ← equation of line