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Ryan
Ryan, Engineer
Category: Calculus and Above
Satisfied Customers: 8877
Experience:  B.S. in Civil Engineering
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Just wondering if I can have your time Saturday EST around

Customer Question

Hey just wondering if I can have your time Saturday EST around 2pm for calculus questions and also receive help with calculus homework. Which I can send you before Saturday so it isnt all last minute
Submitted: 15 days ago.
Category: Calculus and Above
Expert:  Ryan replied 15 days ago.

Hi,

Thank you for using the site, and thank you for requesting me.

Yes, I can be available at that time.

Ryan

Customer: replied 15 days ago.
Awesome thank you. I will go ahead and start sending you screenshots and you can work on them whenever
Expert:  Ryan replied 15 days ago.

Ok, sounds good.

Customer: replied 15 days ago.
First Set
Customer: replied 15 days ago.
End of first set
Expert:  Ryan replied 15 days ago.

Thanks. I have seven image files for the first set.

Expert:  Ryan replied 15 days ago.

Hi,

Here are the solutions for the first set:

CalculusSolutions

As always, please let me know if there are issues with any of these solutions.

Thanks,

Ryan

Customer: replied 14 days ago.
1 and #3; both of the middle portions are wrong and #14 and #15 are wrong
Expert:  Ryan replied 14 days ago.

Could you please send screenshots of what was entered?

For #1 and #3, there are different ways of entering what amounts to the same thing, so it's difficult to know what they expect.

For #14 and #15, there shouldn't be any issue with those as the problems were straightforward. I suspect that there is likely to be a typo issue there, so seeing what was entered might help.

Thanks,

Ryan

Customer: replied 14 days ago.
Here ya go
Expert:  Ryan replied 14 days ago.

Thanks.

For #1, change both from "1/5 + 1" to "6/5".

For #3, change both from "-6/5 + 1" to "-1/5".

For #14 and #15, add absolute value bars around the "x" in the natural logarithm terms.

Customer: replied 14 days ago.
Thank you:)
Expert:  Ryan replied 14 days ago.

You're welcome.

Customer: replied 14 days ago.
Second Set
Customer: replied 14 days ago.
Second Set continued..
Customer: replied 14 days ago.
End of second set. Dont worry about the graphs I will do those
Expert:  Ryan replied 14 days ago.

Ok, got them.

Expert:  Ryan replied 14 days ago.

Here are the solutions for the problems that were included in the images:

Solutions2

Note that problem #12 was not included in the screenshots, and problem #18 was cut off with no problem information shown.

Thanks,

Ryan

Customer: replied 13 days ago.
Hey, is there anyway you can be ready in an hour? at 1
Expert:  Ryan replied 13 days ago.

Yes.

Customer: replied 13 days ago.
okay awesome, I wont be able to send you screenshots itll be over my phone so ill have to text the problems out as best as I can on the problems I can do it on
Expert:  Ryan replied 13 days ago.

ok

Customer: replied 13 days ago.
F (x)=x^2-x-12
Customer: replied 13 days ago.
Find the equation of the servant line joining points through (-2,-6) (4,0)
Expert:  Ryan replied 13 days ago.

Are those two separate problems?

Customer: replied 13 days ago.
B-use the mean value theorem to determine c in interval (-2,4) so that tangent line c is parallel at secant line. Find equation of tangent line through c
Customer: replied 13 days ago.
No all 1 problem
Expert:  Ryan replied 13 days ago.

Equation of the secant line through (-2, -6) and (4, 0) is y = x - 4.

The point c is (1, -12)

The equation of the tangent line through (1, -12), parallel to the secant line, is y = x - 13

Customer: replied 13 days ago.
Find the absolute extrema of the function on the closed interval
F (x)=x^3-3/2 x^2 , [-1,4]
Expert:  Ryan replied 13 days ago.

Absolute minimum is -5/2

Absolute maximum is 40

Customer: replied 13 days ago.
The ordering and transportation cost C for components used in a manufacturing process is approximated by the function where c is measured in dollars and x is the order size in hundreds
C (x)=12(1/x + x/x+3)
Verify that c(6)=c (3)
Expert:  Ryan replied 13 days ago.

C(6) = 12(1/6 + 6/9) = 12(5/6) = 10

C(3) = 12(1/3 + 3/6) = 12(5/6) = 10

Customer: replied 13 days ago.
B - find the order size through interval (3,6)
Customer: replied 13 days ago.
F (x)=(x+7)^2/3
Critical
Increasing
Decreasing
Maximum
Minimum
Expert:  Ryan replied 13 days ago.

Order size for minimum cost is 3/2 + (3√3)/2, or ≈ 4.098 (hundreds)

Customer: replied 13 days ago.
Find the length and width of the rectangle with a maximum area that has a perimeter of 7P units
Smaller value=
Larger value=
Expert:  Ryan replied 13 days ago.

For F (x)=(x+7)^2/3:

Critical point at x = -7

Increasing on (-7, ∞)

Decreasing on (-∞, 7)

Maximum: No maximum

Minimum: 0

Expert:  Ryan replied 13 days ago.

Rectangle with perimeter 7P:

Smaller value = 7P/4

Larger value = 7P/4

(The rectangle of "maximum area" is a square.)

Customer: replied 13 days ago.
Y=x/x^2+25
Intercept
Relative minimum
Relative maximum
Points of inflection
Equation of asymptotes
Customer: replied 13 days ago.
F (x)=x^5-5x
Intercepts (there are 3 answer boxes)
Relative minimum
Relative maximum
Points of inflection
Equation of asymptotes
Expert:  Ryan replied 13 days ago.

For Y=x/x^2+25:

Intercept = (0, 0)

Rel. Min. = -1/10, at x = -5

Rel. Max. = 1/10, at x = 5

Points of inflection = -5√3, 0, 5√3

Equation of asymptote: y = 0

Customer: replied 13 days ago.
A rectangular package to be sent by a postal service can have a max combined length and girth of 72 inches. Find the dimensions of the package of max volume that can be sent
X=
Y=
Expert:  Ryan replied 13 days ago.

F (x)=x^5-5x

Intercepts (there are 3 answer boxes): -4th root of 5, 0, +4th root of 5

Relative minimum: -4 at x = 1

Relative maximum: +4 at x = -1

Points of inflection: (0, 0)

Equation of asymptotes: No asymptotes

Expert:  Ryan replied 13 days ago.

For the one about the package, what are X and Y? Is the end of the package square?

Customer: replied 13 days ago.
Sorry there is a figure but i can't show you but it doesn't have any numbers on it
Expert:  Ryan replied 13 days ago.

Ok. Is X the dimension of the square end, and Y the length?

Customer: replied 13 days ago.
Expert:  Ryan replied 13 days ago.

If that is the case, then X = 12 inches and Y = 24 inches

Customer: replied 13 days ago.
What were the minimum and maximum of the last question
Expert:  Ryan replied 13 days ago.

For F (x)=x^5-5x?

The relative minimum is -4, and the relative maximum is 4.

Those are also the absolute minimum and maximum.

Customer: replied 13 days ago.
G (x)=x^2-2x-360
Critical numbers
This is a step by step question
Expert:  Ryan replied 13 days ago.

Critical value: x = 1

Customer: replied 13 days ago.
First consider the interval (-infinity,1) let x=0
It wants us to fill in the blanks
G (x)=2 (x-1)
G (0)=2 ( -1)
G (0)=2 ( )
G (0)=
Customer: replied 13 days ago.
Sorry the first two equations there are spaces in the front inside the parentheses
Expert:  Ryan replied 13 days ago.

G (x)=2 (x-1)
G (0)=2 (0 -1)
G (0)=2 (-1 )
G (0)=-2

Customer: replied 13 days ago.
Since g (0) (greater or less? ) 0, the function is (decreasing or increasing?) In the interval (-infinity, 1)
Expert:  Ryan replied 13 days ago.

Less

decreasing

Customer: replied 13 days ago.
Now consider the inteval (1,infinity) let x=2
G (x)=2 (x-1)
This is the same as the last (3 answers) just with 2
Expert:  Ryan replied 13 days ago.

G (x)=2 (x-1)
G (2)=2 (2 -1)
G (2)=2 (1 )
G (2)=2

greater than

increasing

Customer: replied 13 days ago.
New problem. Step by step
Y=x^7-7x
Find the three intercepts
Customer: replied 13 days ago.
I know you'll need the points of inflection
Asymptotes
And relative extrema
Expert:  Ryan replied 13 days ago.

Intercepts: -6th root of 7, 0, +6th root of 7

No asymptotes

Relative minimum: -6

Relative maximum: +6

Customer: replied 13 days ago.
Inflection points
Expert:  Ryan replied 13 days ago.

Inflection point is (0, 0)

Customer: replied 13 days ago.
Y=7x^6-7
Differentiate y with respect to x
Part2
So y=0 when. X=?
Expert:  Ryan replied 13 days ago.

y'(x) = 42x^5

Is the second part really asking when "y" is equal to 0, or is is "y-prime"?

Customer: replied 13 days ago.
One more and I have a screenshot for ya
Customer: replied 13 days ago.
oh nevermind, you already did that one it just cleared my answer
Expert:  Ryan replied 13 days ago.

Ok, great. I wasn't sure what they wanted for "c" there. It could have been just the x-coordinate, or it could have been the (x, y) ordered pair.

Customer: replied 13 days ago.
Set 3
Customer: replied 13 days ago.
set 3 continued
Expert:  Ryan replied 13 days ago.

I have the first 8 screenshots for Set 3. Please let me know if there are more, and when the deadline is for completion.

Expert:  Ryan replied 13 days ago.

Hi again,

Could you please post a screenshot of "Example 1"? It is referred to in problem #1, and I'm concerned that the "correct" answer might be slightly different than just calculating the straight integral.

Thanks,

Ryan

Customer: replied 12 days ago.
I am so sorry. Got slammed with work and the deadline is tonight but I am gonna ask for an extension
Customer: replied 12 days ago.
Here is the last of the second set; I guess I forgot to include them or they didnt send :( my apologies
Customer: replied 12 days ago.
4th set- If you cant finish by tonight it isnt a big deal. My professor lets us go back and complete them at the end of the semester and ive never asked for an extension before so Im sure he wont care with the holidays being so close
Expert:  Ryan replied 12 days ago.

Here are the remaining solutions:

CalcSolutions

Please let me know if there are any issues.

Thanks,

Ryan

Customer: replied 6 days ago.
Hey im sorry i havent responded been a busy week. And my teacher hasnt responded about extending so I havent been able to get you the last set..
Expert:  Ryan replied 5 days ago.

Ok, thanks for the update.