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ozzi
2 years ago
10

Please help me with this math assignment

Mathematics
1 answer:
Cloud [144]2 years ago
6 0

Answer: A , C and F

Step-by-step explanation:

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I think I know this much so far for A (but I could be wrong):
Eduardwww [97]
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.

-------------------------------------------------------------

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. 
6 0
3 years ago
Seven times the sum of a number and 4 equals 8.
Ksju [112]

Answer:

7*(n+4) =8

Step-by-step explanation:

seven times the sum

7*(

of an number and 4

7*( n+4)

equal 8

7*(n+4) =8

6 0
2 years ago
Read 2 more answers
Geometry help please! Match the reasons with the statements.
SSSSS [86.1K]

Given:

∠PRS and ∠VUW are supplementary.

To prove:

Line TV || Line QS

Solution:

Step 1: Given

∠PRS and ∠VUW are supplementary.

Step 2: By the definition of supplementary angles

m\angle {PRS}+m\angle {VUW}=180^{\circ}

Step 3: Angles forming a linear pair sum to 180°

m\angle {PRS}+m\angle {SRU}=180^{\circ}

Step 4: By transitive property of equality

step 2 = step 3

m\angle {PRS}+m\angle {VUW}=m\angle {PRS}+m\angle {SRU}

Step 5: By algebra cancel the common terms in both side.

{m} \angle {VUW}={m} \angle{SRU}

Step 6: By converse of corresponding angles postulate

Line TV || Line QS

Hence proved.

6 0
3 years ago
B<br> D<br> A<br> C<br> side AC is extended to point D with m
Minchanka [31]

Answer:

im so confused

Step-by-step explanation:

5 0
3 years ago
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Find the slope of the line
Lilit [14]

Answer:

3/4

Step-by-step explanation:

5 0
2 years ago
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