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:
1.3
Step-by-step explanation:
⅓ put into to decimal form is a repeating decimal
Answer:
Step-by-step explanation:
we know that
The equation of the line into point slope form is equal to
In this problem we have
substitute the given values
y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
Answer:
B
Step-by-step explanation:
Fact: The diagonals of a parallelogram bisect each other. If NL= 15 the NP = 1/2 NL
1/2 NL = 15/2 = 7.5.
NP = 7.5
Answer: NP = 7.5 B
Answer:
6%
Step-by-step explanation:
The percentage is the ratio 15/250 converted to a percent. That conversion can be accomplished by multiplying the ratio by 100%. (You can do this without a calculator.)
15/250 × 100% = (1500/250)% = 6%
