Pretend y is the angle of depression.
Tan y= opposite/ adjacent
Tan y = 16.2/ 48.3
Y= tan-1( 16.2/ 48.3)
Angle = 18.5416
1.
A graph is formed by plotting all pairs (x,y), such that y is f(x), for a certain function f.
for example:
Take a look at the graph. (x, y)=(3, 5) is on the graph. This means that f(3)=5 (because f(x)=y)
2.
The real solutions of a function f, are those points x, such that f(x)=0.
in the graph we see no point (x, 0), so there are no real solutions.
Answer: <span>No Real Solution</span>
Answer:
x = 7
Step-by-step explanation:
6 - 4x = -22
-6 - 6
-4x = -28
x = -28/-4
x = 7
Answer:
9704.448
Step-by-step explanation:
(4.01)(10)−5
=35.1
(2.56)(108)
=276.48
(276.48)(35.1)
=9704.448
The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
