Answer: 0.4
Step-by-step explanation:
Divide the 2 by 5 and get 0.4, which is the decimal form.
The error is in <em>Step-4</em>.
A negative exponent does NOT mean that the number turns negative. A negative exponent means the number is in the denominator.
(4)⁻⁴ means (1/4⁴) . That's (1/256) . All positive numbers.
The values 35 and 25 would make the answer to this 0
The answer is <span>Q=(M−2P)/3
</span>
<span>M = 2P + 3Q
Subtract 2P from both sides:
M - 2P = 2P + 3Q - 2P
M - 2P = 3Q
Divide both sides by 3:
(M - 2P)/3 = 3Q/3
(M - 2P)/3 = Q</span>
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.
