Answer:
df/dx = e^x(1/x+ ln(x))
Step-by-step explanation:
f(x) = e^x * ln(x)
We can solve this by partial derivatives
df/dx = u dv + v du
let u = e^x and v = ln(x)
df/dx = e^x * 1/x + ln(x) * e^x
Factor out the e^x
df/dx = e^x(1/x+ ln(x))
Answer:
Dimes = 8 and
Quarters = 12
Step-by-step explanation:
Total value = 380 cents
let dimes be x
quarters be 2x - 4
100 pennies = $1
1 dime = 10 pennies
1 quarter = 25 pennies
Therefore;
$ 3.78 = 378 pennies
10x+25(2x-4)=378
10x + 50 x - 100 = 378
60 x = 378 + 100
60 x = 478
x = 478/60
= 7.9667
≈ 8
Therefore;
Dimes = 8 and
Quarters = 12
Answer:
x=15
Step-by-step explanation:
6x+15=7x
15=x
Answer: Option D) 6
Solution:
xy=k
What is the constant of variation: k=?
when x=-3 and y=-2
Replacing the knwon values in the given equation:
xy=k; x=-3, y=-2
(-3)(-2)=k
Multiplying the values:
6=k
k=6
Answer:
Mental Math and Logic
Step-by-step explanation:
You might not have access to a calculator, so when times comes like this when you have to validate a statement if wrong or right, mental math comes in help.
You only need the approximate number to do something like mental math. Both numbers divided by each other, is really close to their whole numbers of 1 and 5, respectively. If you divide 1/5, you get 0.2, which is not what the answer is. 0.02 and 0.2 are very different answers, and you would not get 0.02 no matter how many decimals after that 1.0 and 5.0.
Which means the statement is not true based on logic and mental math.
