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
Bank balance after 15 years is $950
Step-by-step explanation:
- Step 1: Find the simple interest on the principal amount using the formula SI = PRT/100 where Principal (P) = $500, Rate of Interest (R) = 6% and Time(T) = 15 years
⇒ SI = 500 × 6 × 15/100 = $450
- Step 2: Find total amount using the formula Amount = P + SI
⇒ Amount = 500 + 450 = $950
Answer:
154,897
Step-by-step explanation:
Labradors were
6997 MORE than 15 TIME Danes
So, first, what is 15 times Danes??
Given 9860 Danes, fifteen times Danes would be:
9860 * 15 = 147,900
Now, 6997 MORE to that, it would be:
147,900 + 6997 = 154,897
Thus,
There were 154,897 registered Labrador Retrievers
Answer:
The second one
210 lbs
Step-by-step explanation:
The difference between 7 and 4 is 3
90/3 = 30
30 times 7 = 210
