1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sergeu [11.5K]
3 years ago
11

I think I know this much so far for A (but I could be wrong):

Mathematics
1 answer:
Eduardwww [97]3 years ago
6 0
Part A. You have the correct first and second derivative.

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

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. 
You might be interested in
DUE IN THE NEXT 10 MINUTES, PLEASE HELP! Describe the strategy used to find an equation of a line, given its slope and a point o
Llana [10]
Y=mx+b helps to find slope of a line.
B is where it starts on the y axis.
m is the slope.
3 0
3 years ago
The functions f(x) and g(x) are described below:
sesenic [268]

Suppose that the <u>function</u> f(x) is the <u>parrent</u> function and the<u> graph</u> of the function g(x)=f(x)-a can be obtained from the graph of the parrent function f(x) by <u>shifting down</u> a units.

Rewrite the expression for the function g(x) in the following way:

g(x)=32x-9=32x+8-8-9=32x+8-17=f(x)-17.

This shows that the shift down is made by 17 units.

Answer: 17 units

4 0
3 years ago
Read 2 more answers
What is the solution of
Artemon [7]

Yo sup??

we can simply try option verification for this problem.

when x=0 we get,

1 and 1≠5 therefore x=0 is not a solution.

when x=1 we get

√6-1≠5 therefore x=1 is not a solution.

when x=16 we get

9-4=5 therefore x=16 is a solution

Hence the correct answer is option C

Hope this helps.

3 0
3 years ago
QUESTION 25 The area of the triangle shown is 54cm. The ratio of side to side is 3:4 What is the length of side in centimetres?
AlexFokin [52]

Answer:

15

Step-by-step explanation:

Diagram would be helpful.... I am assuming this is a right triangle with legs ratio 3:4

5 0
2 years ago
The Amazon rainforest is gradually being destroyed by pollution and agricultural and industrial development. For simplicity, sup
KATRIN_1 [288]
The Amazon rainforest is gradually being destroyed by pollution and agricultural and industrial development. For simplicity, suppose that each year, 10% of the remaining forest is destroyed. Assume, also for simplicity, that the present area of the Amazon rainforest is 1,200,000 square miles.
1.a) What will the area of the forest be after 1 year of this destruction process?
1.b) What will the area of the forest be after 2 years of this destruction process?
2) Make a graph showing your results from Question 1 and continuing through 5 years of the destruction process. Include the present situation as a point on your graph.
3) Find a rule for how much rain forest will remain after X years. That is, express the area of the rain forest as a function of X.
7 0
3 years ago
Other questions:
  • Someone please help! I’ll give you 25 points!
    13·2 answers
  • The first term of a G.p are as follows: m, m^2+4, 16m find the 5th term
    5·1 answer
  • Another Math problem !!
    10·1 answer
  • A circle has an area of 75 square centimeters. Which answer is closest to the measure of its radius?
    6·2 answers
  • If (x, 1/100) lies on the graph of y = 10x, then x =
    10·2 answers
  • (3/4y) (3/4y) (3/4y)
    14·1 answer
  • The equivalent expression for 16x + 46 + 8c
    14·1 answer
  • Which statement describes graph
    6·1 answer
  • 9<br> Find the values of r and y.<br> с<br> A<br> 95°<br> B<br> 4x<br> ro<br> D<br> E
    5·1 answer
  • 100 POINTS!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!