02/07/17

Defining and Proving a DFA
For any n∈ N, n∉0, define the DFA Mn = ({0, 1, ..., n-1}, {0,1}, δ, 0, {0}), where δ(i,c) = (2i+c) mod n. Prove that L(Mn) = {x | val(x) mod n=0}
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12/12/16

Rewrite the complex number in rectangular form, a + bi.
Rewrite the complex number in rectangular form, a + bi.   z=7cis(pi/6)=?   A. 7+7i B. ((7(sqrt 3))/2)+(7/2)i c. (sqrt 3/2)+(1/2)i D. (7/2)+(7/2)i
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09/15/16

How do I reduce sort to the skyline problem, where the sort function sorts a sequence of integers?
The skyline problem involves in a sequences of (l, h, r), where l and r are the starting x and y coordinates of a rectangle, and h is the height. Then, it returns a sequence of (x, y) points which... more
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05/28/16

Using Geometry and Trigonometry
The focus of this unit is understanding geometry using positions of points in a Cartesian coordinate system. The study of the relationship between algebra and geometry was pioneered by the French... more
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05/23/16

Write an equation for cos(x) with the given amplitude and period
Amplitude: 10; period:(pi)/8   show work here:       equation: 
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05/03/16

A band estimated that when a random ticket holder is invited on stage,
there is a 1/4 chance that the person will be under 18 years old, and a 1/3 chance that the person will be over 30 years old. The band also estimates that half of its fans at any age are men and... more
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05/03/16

the squared root of 3x equals x-6, what is the value of x
This question is about the squared root of a number and and variable equaling a variable subtracted by a number.  I need to solve for X.
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04/29/16

in triangle abc, a=6, b=3, and sin b= 1/4.
What is the value of sin A?
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04/12/16

Help? So confused.
1.Create a graph of the pH function either by hand or using technology. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph. 2.The pool... more
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12/10/15

How do you set up a tangent ratio? How can you know which side is triangle-y? How can you use your calculator to find a slope ratio? Explain.
How do you set up a tangent ratio? How can you know which side is triangle-y? How can you use your calculator to find a slope ratio? Explain. 
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12/09/15

If P=200000 when t=2 and P=150000 when t=5, what is the population when t=10?
(Integration-Exponential Decay)   The population, P, of a species of fish is decreasing at a rate that is proportional to the population itself. If P=200000 when t=2 and P=150000 when t=5, what... more
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12/09/15

exponential growth
on our campus of 7700 students, one student returns from thanksgiving break with a contagious virus. after 2 days 40 other students are infected.using the following equation:... more
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12/09/15

What is a good way to solve this ( question is in the description)
Develop definitions of rotations reflections and translations in terms of angles circles perpendicular lines parallel lines and line segments.
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12/08/15

Find the derivative below.
Find the derivative below.   ??=4 log_3 (??^2−1)
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12/08/15

Find the derivative below. Give both the domain and the range.
Find the derivative below. Give both the domain and the range.   ??/???? ln2??^8
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12/08/15

Finding how long it will take for depth of pool to reach 1.8ft, and what rate it is rising, derivatives, calc
John has a swimming pool that is 30ft wide and 45ft long. When full it would be 2ft deep at the shallow end and 7ft deep at the deep end. The bottom is an inclined plane. When John fills the pool... more
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12/08/15

Finding number of roots for an equation. Find root to 10 decimal place accuracy.
Consider the equation 2x                                 ---- -sinx=0                                   3   Determine the number of roots for this equation. Find each root of the equation to 10... more
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12/08/15

Prove f'(x)=f(x)
Given that "f" is a function with the following properties:   i. f(x1+x2)=f(x1)f(x2) for all x1 and x2 ii. f(x)=1+x*g(x) where limx approaches 0 g(x)=1   Pover: f'(x)=f(x)
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12/08/15

Identify the horizontal middle of a sample period for the function: f (t) = 4sec(3t - 6p).?
    x = πx = 3 + π
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12/07/15

Write a two-column proof.
Write a two-column proof.   Given: ABCD and AFGH are parallelograms. Prove: angle C ≅ angle G
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12/06/15

heating and cooling newtons law
Newton's Law of Heating and Cooling gives the model below. For water, k = -0.04095. Assume that you are in a 76 °F room with a cup of water. The water temperature is 34.3 °F. Find the water... more
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12/06/15

Series converges or diverges
∞ ∑ ((3n-2)/(5n+1))^n n=1
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12/06/15

Determine if the sequence converges or diverges
an=(1+(1/n3))^n
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12/03/15

Integration and Related Rates
#2 (2 pts) A window in Prof. Xu' ss office is shown in figure (A) below, y = f ( s ) where f is given by f (s) = 5 sin ((π/32)(s^2 + 16)). Every evening, before she leaves her office, Prof. Xu... more
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11/30/15

Solve the equation...
Solve sin(2θ) = cos(θ) for 0 ≤ θ < 2π (Hint: there will be a total of 4 solutions!)
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