12a. Answer: d) x⁶ f'(x) + 6x⁵ f(x)
<u>Step-by-step explanation:</u>
Use the multiplication formula for derivatives:
y = a · b → y' = a'b + ab'
<u>y = x⁶ · f(x) </u>
a = x⁶ b = f(x)
a' = 6x⁵ b' = f'(x)
<u>y' = a'b + ab'</u>
y' = 6x⁵ f(x) + x⁶ f'(x)
***************************************************************
12b. Answer: 
<u>Step-by-step explanation:</u>
Use the division formula for derivatives:
→ 

Note: You can also move the denominator to the top (it will have a negative exponent) and use the multiplication formula for derivatives.
Answer:
The correct representation of data on x-axis and y-axis is:
x-axis: minutes in increments of 5; y-axis: temperature in increments of 5
Step-by-step explanation:
The minutes will be plotted along the x-axis with increment of 5 minutes because the minutes represents here the independent variable
and the temperature will be plotted along the y-axis with the increment of 5 degrees Celsius because the temperature denotes the dependent variable.
Answer:
d = |145 − (−235)|
Step-by-step explanation:
The equations have been computed below
<h3>How to illustrate the information?</h3>
3(x + 2) + 11 = 5(x - 4)
3x + 6 + 11 = 5x - 20
Collect like terms
3x - 5x = -20 - 17
-2x = -37
x = 37/2
x = 18.5
6x + 4 = 3(3 - 2x)
6x + 4 = 9 - 6x
Collect like terms
6x + 6x = 9 - 4
12x = 5.
x = 5/12
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
I would be happy to help with this question!
you would need to use the pythagorean theorem inputting 3.5 for a and 15 for c. after this you will need to solve for b and you should get the answer of 14.6feet