48 Answered Questions for the topic Interval

03/16/15

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

03/01/15

Find the average value of the function

Find the average value of the function f(t)=-5te(-t^2) on the interval [0,5].favg=?

01/28/15

Calculate Rn for f(x)=(-x^2/3)+7 on the interval [0,4]

Consider the function f(x) = (x^2 / 2) + 7 In this problem you will calculate (low: 0, up: 4) ((-x^2 / 3) + 7)*dx by using the definition (low:a, up:b) f(x)dx = lim n-->inf [ (bottom: i=1, top:... more
Interval Pi Eqaution Tangent

01/04/15

solve the equation on the interval 0 = ? 2p

2sin2θ=sinθ

11/02/14

Write the interval in set-builder notation.

(-∞,∞)

10/18/14

For the function, find the intervals where the function is increasing, decreasing, or constant.

The function is: R(x)= (x+2)2 if x<-1 -x if x≥-1 Thanks in advanced.
Interval

08/07/14

solve equations on the interval

Solve each equation on the interval 0<Θ<2pi   a) 1-sin(Θ)=1/2 b) 2sin^2(Θ)-1=0 c) tan2(Θ) =-1 d) cos3(Θ)=1
Interval Distance Minimize

06/21/14

How far south of P should Q be located in order to minimize the total construction costs?

A small resort is situated on an island off a part of the coast of Mexico that has a perfectly straight north-south shoreline. The point P on the shoreline that is closest to the island is exactly... more
Interval Slope Mean

06/18/14

Find the average or mean slope of the function on this interval.

Consider the function f(x)=3x3-5x on the interval [-5,5]. Find the average or mean slope of the function on this interval.  By the mean value theorem, we know there exists at least one c in the... more
Interval Decreasing Critical

06/18/14

Find A,B and C.

Consider the function f(x)=5x+6x-1. For this function there are four important intervals (-infinity, A], [A,B), (B,C), and [C, infinity) where A and C are the critical numbers and the function is... more

06/18/14

Determine the x-coordinates of all inflection points of f.

Let f(x)= (7x-2)/(x+2). Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f.  1. f is concave up on the intervals= 2. f is... more
Interval Maxima Minima

06/18/14

Determine the x-coodinates of all relative maxima (minima)

Let f(x)=4x3+5. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals= 2. f is... more
Interval Slope Average

06/18/14

Find the average or mean slope of the function on this interval

Consider the function f(x)=2√x +1 on the interval [2,7].  Find the average or mean slope of the function on this interval.  By the mean value theorem, we know there exists a c in the open interval... more
Interval Mean Value Theorem

06/15/14

Find the average or mean slope of the function on this interval

Consider the function f(x)=6-7x2 on the interval [-4,5].  Find the average or mean slope of the function on this interval (f(5)-f(-4))/(5-(-4))= By the Mean Value Theorem, we know there exists a... more
Interval Slope Function Mean

06/15/14

Find the average or mean slope of the function on this interval.

Consider the function f(x)=2√(x)+1 on the interval [2,7]. Find the average or mean slope of the function on this interval. By the mean value theorem, we know there exists a c in the open interval... more
Interval Slope Function Mean

06/15/14

Find the average or mean slope of the function on this interval.

Consider the function f(x)=1/x on the interval [3,9]. Find the average or mean slope of the function on this interval.  By the mean value theorem, we know there exists a c in the open interval... more
Interval C Slope Values

06/15/14

Find the average or mean slope of the function on this interval

Consider the function f(x)=3x3-5x on the interval [-5,5]. Find the average or mean slope of the function on this interval. By the mean value theorem, we know there exists at least on c in the open... more
Interval Function Decreasing

06/15/14

Tell whether the function is increasing or decreasing

Consider the function f(x)=5x+6x-1. For this function there are four important intervals: (-infinity,A], [A,B), (B,C), and [C,infinity) where A and C are the critical numbers and the function is... more

06/12/14

On which two intervals is the function increasing

For x E [-11,11] the function f is defined by  f(x)=x6(x-2)5 1) On which two intervals is the function increasing? 2)Find the region in which the function is positive 3)Where does the function... more
Interval Domain Notation

05/18/14

Find the domain in interval notation

What is the domain in interval notation of  y=ln(x^2-1x-20)  
Interval Domain Notation

05/18/14

Use interval notation to indicate the domain of F(x)

f(x)= 4√(x^2-8x) find the domain in interval notation 

01/03/14

Find all solutions in the interval [0,2pi): tan^2x + (sqrt3-1)tanx-sqrt3 = 0

This is for my trig class. Thanks for the help!

11/10/13

solve the equations below in radians

solve the equations below in radians and find all possible values for t in the interval 0≤t≤2pi   cos(t)=0 when t= sin (t)= 1/2 when t = cos (t)= √3/2 when t=  tan (t)= -1 when t=    *each... more

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