27 Answered Questions for the topic Math Analysis

10/09/19

#### Trigonometry Problem and Periodic Functions

Tides can be modeled by periodic functions. Suppose high tide at the city dock occurs at 2 A.M at a depth of 38 meters and low tide occurs at 9 A.M at a depth of 18 meters. A) Graph one cycle then...
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09/12/19

#### If f is a linear function such that f(x+2) - f(x) = 6, find the value of inverse of f (x+2) - inverse of f(x)

Only clue she gave us was f(x)= mx+b but I don't know how to utilize that information.

Math Analysis

09/20/18

#### A rectangular garden has a width of x and a perimeter of 100 feet. Find x such that the area of the garden is maximized.

I need help understanding this math problem and how to solve it

#### Show that the set GL(n, R) of invertible n × n real matrices is open in the space of n × n matrices (metric spaces, Real analysis)

Show that the set GL(n, R) of invertible n × n real matrices is open in the space of n × n matrices, with the metric being the Euclidean metric in Rn^2 when a matrix is identiﬁed with a long, n2...
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01/30/18

#### Prove that sup(a, b)=sup[a, b]=b and inf(a, b)=inf[a, b]=a. Is completeness relevant?

Denoting, as usual, by (a, b) an ”open interval”, {x : a<x< b} and by [a, b] the corresponding ”closed interval”, {x : a≤x≤b} of real numbers, prove that sup(a, b)=sup[a, b]=b and inf(a,...
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Math Analysis

07/31/17

#### Inverse of the Basel Problem

Since the infinite sum of the inverse squares is (pi^2 / 6), is the infinite sum of the squares equal to the inverse of (pi^2 / 6)?

#### IN WHAT DIFFERENT WAYS CAN EXPONENTIAL FUNCTIONS BE IDENTIFIED?

Please and thanks

Math Analysis

12/10/16

#### Consider points P = (0, a), Q = (c, b) in the plane, with a, b, c all positive.

Consider points P = (0, a), Q = (c, b) in the plane, with a, b, c all positive. Find a point R = (x, 0) so that the distance P R+QR is minimal. Justify that your answer is indeed a minimum.

09/28/16

#### Three marbles are drawn randomly WITH REPLACEMENT

Three marbles are drawn randomly WITH REPLACEMENT from a box with 5 blue and 7green marbles.(a) What is the probability that all the marbles drawn are green?(b) What is the probability that 2 of...
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#### Definite integral

Find the definite integral of the function cosx at points from a to b by definition.

03/25/16

#### how can is happen that three different animals could be claimed largest?

Describe how it could happen that three different animals could each be claimed -rightfully- to be the largest of the three. Discuss the implications of this kind of situation for teaching students...
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03/24/16

#### how many dump truck loads?

A construction company has dump trucks that hold 10 cubic yards. If the company's workers dig a hole that os 8 feet deep, 20 feet wide, and 30 feet long, then how many dump truck loads will they...
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Math Analysis

06/10/15

#### fn(x)=1/(x+1/(2n)) and fn(x)=1/(x+1/(n^2)).

Q1 prove piecewise convergent on (0,infinity)
Q2 prove uniform convergent on [1,infinity)
Please help with these two equations. Much Thanks, it's preparation for final exam

#### Need help solving the following equations on the interval (0,2pi)?

I'm having a lot of trouble trying to solve the equations algebraically on the interval (0,2pi). Any help is greatly appreciated!
1) tanx= 0
2) 4sin^2x-1=0

Math Analysis Law Of Sines

03/16/15

#### Need help finding the missing angles and sides for a triangle?

I'm having trouble finding the missing sides and angles for the triangle. I know you have to use law of sines to find them, but I'm having trouble. Any help is greatly appreciated!
A= 42°, C=...
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03/01/15

#### Need help proving trig identities?

I'm having trouble proving these trig identities. Help is greatly appreciated. Thanks in advance!
1) 1- sinx/cosx = cosx/ 1+sinx
2) sin^2x = 1- cos^2x
3) sin2x/2sinx = cosx
4) cosx(1+...
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Math Analysis Sum And Difference Identity

02/28/15

#### Need help with the sum/difference formula?

Im having trouble using the sum/difference formula to simplify the equations below. Help is greatly appreciated
1) cos (π + θ)
2) tan (π/6 + π)
3) sin (π/4 - π/2)
π = "pi"

02/12/15

#### Need help proving trig identities?

I'm having trouble trying to prove these trig identities. Help is greatly appreciated! Thanks in advance!
1) cot^2θ +1/sec^2θ = cot^2θ
2) 1+cosx/sinx = sinx/1 - cosx
3) tanθ + cotθ =...
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Math Analysis

12/15/14

#### Need help solving these problems?

I need some help solving these problems. Thanks in advance!
Let f(x) = 4x-9/ 2x^2 + 1 find:
1) f(-2)
2) f(x+3)
3) -f(x)
4) f(-x)

Math Analysis

12/15/14

#### Suppose a baseball is tossed up...

Suppose a baseball is tossed up and it's height as a function of time is given by the formula: h= -16t^2 + 64t + 10 where "h" is the height of the baseball measured in feet and "t" is time measured...
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Math Analysis

12/15/14

#### Real and complex solutions question?

I'm having trouble finding all the real and complex solutions to the equation: x^3 - 4x^2 - 2x + 20 = 0
Help is greatly appreciated!

Math Analysis

04/06/14

#### 6x2-15y2-xy+16x+24y=0

represent 2 srtaight lines find the equation of each straight lines???

12/18/13

#### Given 4+3i

A. Identify the complex conjugate
B. Multiply the conjugate pairs & write in standard form

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