Answer:
20.5 , 30.4 , 5.3
Step-by-step explanation:
SOHCAHTOA
sinθ = opposite / hypotenuse
cosθ = adjacent / hypotenuse
tanθ = opposite / adjacent
10. tan64° = 42 / x ; x = 42 / tan64° ; x = 20.48476872
12. sin54° = BD / 20 ; BD = 20 * sin54° ; BD = 16.18033989 ;
tan28° = BD / DC ; DC = BD / tan28° ; DC = 30.43079344
13. tan51° = JL / 14 ; JL = 14 * tan51° ; JL = 17.28856019 ;
cos72° = KL / JL ; KL = JL * cos72° ; KL = 5.342458907
Answer:
To satisfy the hypotheses of the Mean Value Theorem a function must be continuous in the closed interval and differentiable in the open interval.
Step-by-step explanation:
As f(x)=2x3−3x+1 is a polynomial, it is continuous and has continuous derivatives of all orders for all real x, so it certainly satisfies the hypotheses of the theorem.
To find the value of c, calculate the derivative of f(x) and state the equality of the Mean Value Theorem:
dfdx=4x−3
f(b)−f(a)b−a=f'(c)
f(x)x=0=1
f(x)x=2=3
Hence:
3−12=4c−3
and c=1.
Answer:
Step-by-step explanation:
We have to see what happens at each graph at the “end” of x axis This means look both to the left and right of the x axis
1) when x approaches -oo, f(x)approaches -oo. When x approaches +oo, f(x) approaches +oo
2) when x approaches -oo, f(x) approaches +oo. When x approaches +oo, f(x) approaches +oo
3) when x approaches -oo, f(x) approaches -oo. When x approaches +oo, f(x) approaches -oo
4) when x approaches -oo, f(x) approaches -oo. When x approaches +oo, f(x) approaches +oo
Answer:
137 boxes
Step-by-step explanation:
1096 boxes * 0.125(12.5% of boxes weighing less than a pound) = 137 boxes
Answer:
2- the number of degrees between 0°C and -5°C
Step-by-step explanation:
Absolute Value means how far a number is from zero
