Answer:
67
Step-by-step explanation:
One A
y = e^x
dy/dx = e^x The f(x) = the differentiated function. Any value that e^x can have, the derivative has the same value. x is contained in all the reals.
One B
y = x*e^x
y' = e^x + xe^x Using the multiplication rule.
You want the slope and the value of the of y to be the same. The slope is y' of the tangent line
xe^x = e^x + xe^x
e^x = 0
This happens only when x is very "small" like x = - 4444444
y = e^x * ln(x) Using the multiplication rule again, we need the slope of the line with is y'
y1 = e^x
y1' = e^x
y2 = ln(x)
y2' = 1/x
y' = e^x*ln(x) + e^x/x So at x = 1 the slope of the line =
y' = e^1*ln(1) + e^1/1
y' = e*0+e = e
y = mx + b
y = ex + b
to find b we use y= e^x ln(x)
e^x ln(x) = e*x + b
e^1 ln(1) = e*1 + b
ln(1) = 0
0 = e + b
b = - e
line equation and answer.
y = e*x - e
Answer & Step-by-step explanation:
37.
Linda walked 3/4 (or 75%) of a track which is 3.5 miles long
Multiply 0.75 by 3.5 to get 2.625 miles (or 2 and 5/8 miles)
38.
We need to multiply the 2 and 3/8 mile track by 2 and a half (2 and 0.5)
1/8 is 0.125
2/8 is 0.25
3/8 is 0.375
The track is 2.375 miles long.
Multiply 2.375 by 2.5
The track will be 5.9375 miles long after 5 years ( or 5 and 15/16 miles)
Answer:
9 to the power 10 or 9^10
Step-by-step explanation:
9^5×2
= 9^10
