Answer:
the function is continuous from the left at x=1 and continuous from the right at x=0
Step-by-step explanation:
a function is continuous from the right , when
when x→a⁺ lim f(x)=f(a)
and from the left when
when x→a⁻ lim f(x)=f(a)
then since the functions presented are continuous , we have to look for discontinuities only when the functions change
for x=0
when x→0⁺ lim f(x)=lim e^x = e^0 = 1
when x→0⁻ lim f(x)=lim (x+4) = (0+4) = 4
then since f(0) = e^0=1 , the function is continuous from the right at x=0
for x=1
when x→1⁺ lim f(x)=lim (8-x) = (8-0) = 8
when x→1⁻ lim f(x)=lim e^x = e^1 = e
then since f(1) = e^1=e , the function is continuous from the left at x=1
<u>Answer:</u>
<u>Step-by-step explanation:</u>
- Surface area: 2(4 x 0.5) + 2(4 x 1.5) + 2(0.5 x 1.5)
- => 2(2) + 2(6) + 2(0.75)
- => 4 + 12 + 1.5
- => 17.5 ft.²
<u>Conclusion: </u>
Therefore, the surface area is 17.5 ft.².
Hoped this helped.
Answer:
51/56
Step-by-step explanation:
Keep/Change/Flip
keepthe first fraction the same
change the division sign into a multiplication sign
flip the seond fraction upside down (in this case it would become 3/2)
Answer:
21.3662 $
Step-by-step explanation:
100% - 6% = 94%
22.73 × 94/100 = 21.3662$
