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Y_Kistochka [10]
3 years ago
8

Solve this problem x3y3-x4y2

Mathematics
1 answer:
stepan [7]3 years ago
5 0

the answer is in the photo

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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
A square has an area of 576 great inches how long is each side of feet
bija089 [108]
The formula for the area of a square is A=s*s or A=s^2
So we can plug in the area and solve for the side
576=s^2 (square root both sides)
s=24 inches

Since one foot is 12 inches, 24 inches would be 2 feet

Hope this helps
6 0
2 years ago
Read 2 more answers
Find the midpoint of the segment with the given endpoints. ​(9​,9​) and ​(-1​,- 3​)
GenaCL600 [577]

Answer: (4, 3)

Step-by-step explanation:

The formula for coordinate of the mid point is given as :

Mid point = (\frac{x_{2}+x_{1}}{2} , \frac{y_{2}+y_{1}}{2} )

x_{1} = 9

x_{2} = -1

y_{1} = 9

y_{2} = -3

Substituting the values into the formula , we have :

Mid-point = (\frac{-1+9}{2} , \frac{-3+9}{2} )

Mid-point = ( \frac{8}{2} , \frac{6}{2} )

Mid - point = ( 4 , 3)

8 0
3 years ago
How many solutions does the nonlinear system of equations graphed below have
klio [65]

Answer:

The nonlinear system of equations has 4 solutions ⇒ B

Step-by-step explanation:

The number of solutions of a system of equations equal to the number of points of intersection of the graphs of the equations of the system

Let us use this note to solve the question

From the given figure

∵ The nonlinear system of equations represented by two curves and a circle

∵ Each curve intersects the circle into two points

∴ The number of the points of intersection is 4

→ By using the note above

∵ The number of intersection points equal to the number of solutions

∴ The number of solutions is 4

∴ The nonlinear system of equations has 4 solutions

8 0
3 years ago
Geometry help!! Surface area??
lesya [120]
308 is your answer. (good luck)
I realize why people say that now lol, its because they need more characters before they can turn it in
8 0
3 years ago
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