Answer:
Workplace Math. Everyday Math. Collaborative Learning. Class Projects. 1-3. 1-5. 1-6. 1-8 ... show them that math has any practical value – so show them! Then the ... How long will a prescription last if someone needs to take it three times a day? ... milk. ¼ cup flour. 1 ½ cups raisins. 1 ¼ cups oatmeal. 1 2/3 cups salt. ½ tsp.
Step-by-step explanation:
Part A. You have the correct first and second derivative.
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Part B. You'll need to be more specific. What I would do is show how the quantity (-2x+1)^4 is always nonnegative. This is because x^4 = (x^2)^2 is always nonnegative. So (-2x+1)^4 >= 0. The coefficient -10a is either positive or negative depending on the value of 'a'. If a > 0, then -10a is negative. Making h ' (x) negative. So in this case, h(x) is monotonically decreasing always. On the flip side, if a < 0, then h ' (x) is monotonically increasing as h ' (x) is positive.
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Part C. What this is saying is basically "if we change 'a' and/or 'b', then the extrema will NOT change". So is that the case? Let's find out
To find the relative extrema, aka local extrema, we plug in h ' (x) = 0
h ' (x) = -10a(-2x+1)^4
0 = -10a(-2x+1)^4
so either
-10a = 0 or (-2x+1)^4 = 0
The first part is all we care about. Solving for 'a' gets us a = 0.
But there's a problem. It's clearly stated that 'a' is nonzero. So in any other case, the value of 'a' doesn't lead to altering the path in terms of finding the extrema. We'll focus on solving (-2x+1)^4 = 0 for x. Also, the parameter b is nowhere to be found in h ' (x) so that's out as well.
Which one will we start with? I'll explain 21. multiply it out and the clean it up. you should end up with 140=A if I'm correct.
Answer: 15m + 5n
Step-by-step explanation:
so, first off, we take the number outside of the parentheses and multiply it by everything that's inside of the parentheses.
(5)3m + 5(n)
then, we just multiply all of those together.
15m + 5n
I’m not quite sure if I did this right,but 6x+3h
