1,723 Answered Questions for the topic Functions

06/06/22

#### How to find the common ratio, the common difference and the first four terms of a geometric sequence and a arithmetic sequences, if

The first term of the geometric sequence is 4, while 2 is the first term ofan arithmetic sequence.And, if the common ratio of the geometric sequence equals the common difference of the arithmetic...
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Functions Calculus

05/30/22

#### Can you help me to solve this.

Let S= {(x,y): x,y ∈ Z and a-b=2n,n ∈ Z } be an equivalence relation in Z.a. Find the set of all equivalence classes.b. Show that the equivalence classes form a partition of Z.

05/29/22

#### Set Theory - Functions & Set Duplicates

Hey there! I'm really looking to understand a property of set theory. I've built a function PS() that takes in a set and returns a set. However, the output set may have duplicates. The definition...
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#### Without calculating, determine the following...

You are given two sequences tn = 4 + (n –1)7 and pn = 4(2)n –1. Without calculating, which term is bigger t534 or p534? Why?Please answer in an organized and neat/easy to read format. And please...
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#### Determine the value of x that makes 2, 6, 5x - 2, ... a geometric sequence.

Determine the value of x that makes 2, 6, 5x - 2, ... a geometric sequence.Please answer in an organized and neat/easy to read format. And please only include the information that would be...
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#### In one city, a taxi fare includes an initial fixed charge, plus a charge based on each kilometre travelled. Determine the following...

In one city, a taxi fare includes an initial fixed charge, plus a charge based on each kilometre travelled. The possible fares charged, in dollars, in this city, can be represented by the recursion...
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#### In one city, a taxi fare includes an initial fixed charge, plus a charge based on each kilometre travelled. Determine the following...

In one city, a taxi fare includes an initial fixed charge, plus a charge based on each kilometre travelled. The possible fares charged, in dollars, in this city, can be represented by the recursion...
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05/26/22

#### In a triangular pile of logs, the top row contains one log. Each row below the top row contains one log more than the row above it. If the bottom row contains 435 logs, how many logs are in the pile?

In a triangular pile of logs, the top row contains one log. Each row below the top row contains one log more than the row above it. If the bottom row contains 435 logs, how many logs are in the...
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#### In a triangular pile of logs, the top row contains one log. Each row below the top row contains one log more than the row above it. If the bottom row contains 435 logs, how many logs are in the pile?

In a triangular pile of logs, the top row contains one log. Each row below the top row contains one log more than the row above it. If the bottom row contains 435 logs, how many logs are in the...
more

#### Without calculating, determine the following...

You are given two sequences tn = 4 + (n –1)7 and pn = 4(2)n –1. Without calculating, which term is bigger t534 or p534? Why?Please answer in an organized and neat/easy to read format. And please...
more

#### Without calculating, determine the following...

You are given two sequences tn = 4 + (n –1)7 and pn = 4(2)n –1. Without calculating, which term is bigger t534 or p534? Why?Please answer in an organized and neat way! Thank you :)

05/22/22

#### Calculus Question

Please answer the following questions and show all steps. Thank you in advance.
Given the points X(0, 2, –1), Y(3, 1, 2), and Z(–3, 2, 5), find (Vector XY × Vector XZ) • Vector YZ.
If vector b =...
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Functions

05/19/22

#### The one-to-one functions g and h are defined as follows.

g-1(x)=(g * g-1)(7)=h-1(0)=

Functions

05/17/22

#### a varies directly as b and the constant of variation is 14. Which equation represents the relationship?

#### Transformations

A quadratic function has zeros −3 and 5 and contains the point (4, 14).
Find the equation of the quadratic function in standard form.
Complete the square to determine the vertex of the...
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05/16/22

#### Transformations

The base function f(x) = 1/3 is reflected in the x-axis, stretched horizontally by a factor of 2, compressedvertically by a factor of 3 , and translated 3 units to the left and 5 units...
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Functions

05/15/22

#### Composite Functions

The functions f and g are as follows :f(x) = 1 (x+1)² g(x) = 1/xA) Find g⁻¹(x)B) gf(x)C) Solve for gf(x)=16x = __ or x = __

#### Graph the following function by applying transformation to f(x) = sin x. State the amplitude, period, phase shift, and vertical shift.

Graph the function by applying transformation to f(x) = sin x.State the amplitude, period, phase shift, and vertical shift.Please show all work in a neat and organized manner. Thank you! :D

#### Suppose a bike wheel has a diameter of 80 cm and the rider completes one cycle in 0.8 s. What is the speed of the bike in m/s?

Suppose a bike wheel has a diameter of 80 cm and the rider completes one cycle in 0.8 s. What is the speed of the bike in m/s?Please submit your answer in a neat and organized way. Thank you! :D

#### Suppose a nail is stuck in the tire of a bike wheel with a diameter of 65 of cm. Let H(t) be the height of the nail, in cm, after t seconds of travel.

Suppose a nail is stuck in the tire of a bike wheel with a diameter of 65 cm. Let H(t) be the height of the nail, in cm, after t seconds of travel.Determine the equation of the axis and explain...
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Functions

05/12/22

#### For the function f ( x ) = 1 3 x + 3 f ( x ) = 1 3 x + 3 , find the value of x x for which f ( x ) = x f ( x ) = x .

05/11/22

#### i need help finding the domain and range!!!

please help me find the following for the function- 4x^(6)+2x^(5)-2x^(4)+2x^(3)-0x^(2)+0x-6
Domain and range
The y-intercept
All real and complex zeros
Minimums and maximums
A description of the...
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05/10/22

#### Calculus Question

I have created a scatter plot and the exponential function I found is y = 30e-0.004t. I need help solving the rest of the questions. A brief explanation of each part will also suffice.Codeine...
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05/09/22

#### Calculus Chapter Task

I have created a scatter plot and the exponential function I found is y = 30e-0.004t. I need help solving the rest of the questions. A brief explanation of each part will also suffice.Codeine...
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#### Calculus Chapter Task

I have created a scatter plot and the exponential function I found is y = 30.368(0.995943)x. I need help solving the rest of the questions. A brief explanation of each part will also...
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