10/23/16

Central limit therom
According to records of Commonwealth Edison, monthly electric consumption for January follows a normal distribution with a mean of 1,650 kilowatt hours, and a standard deviation of 320 kilowatt... more
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10/23/16

Zeros of Polynomial Functions
Find a polynomial function f(x) of least degree having real coefficients with zeros as given.   7 - 2i and 7 + 2i
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10/23/16

implicitly differentiate y=e^(-mx)
I don't get how to do this and I'm not sure how to use the ln    y' = 
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10/22/16

Determine whether the events A and B are independent.
P(Ac) = 0.2, P(Bc) = 0.4, P(A ∩ B) = 0.48
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10/22/16

Determine whether the sequence is increasing, decreasing, or not monotonic.Is the sequence bounded? 6n(-3)^n
I got an answer of not monotonic and not bounded. I want to make sure it's correct. Thanks.
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10/21/16

The L.C.M of (x^3 - a^3) and (x - a)^2 is
explain the answer.......... please
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10/14/16

if n is not divisible by 3, then n 2 + 2 is divisible by 3
Prove or disprove the statement  if n is not divisible by 3, then n 2 + 2 is divisible by 3
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10/14/16

How do I find the hypotenuse of a right triangle if the leg is a variable and the base is made up of the same variable*2?
The question says:  A rectangle of side length s and a width of 2s is cut along its diagonal into 2 smaller pieces. One of the two pieces is cut along the median of the right angle. Find the... more
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10/13/16

How to use the derivative to see if the function is invertible and how to find the inverse of the derivative
So the function I was given is f(x)= 2x^5 +3x^3+x   it is pretty easy to find the derivative using the power rule however on part b of the question it asks how can you use your answer... more
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10/13/16

limit of sin(x)/x as x approaches infinity
I believe it equls 1, but how?  I tried L'Hopital's Rule and still can not get just a Cos(x) as x approaches infinity
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10/12/16

how to find the derivative if I can't use the chain rule on a trig function
f(x) = ((tan^3)(x) + 10)^2 So my teacher says you can only use the chain rule twice before it no longer applies. So I don't know how to take this derivative if I have to use the chain rule in the... more
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10/11/16

Calc I question HELP!!!
Let f(x) = 9xe^x (a) Find the exact value of x so that f ''(x)=0. so x= -2 I am having trouble solving the next question: (b) For what interval is f(x) concave up? (Enter your answer using interval... more
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10/11/16

3.1: Vector Functions and Space Curve WEBASSIGN?
x = (1 + cos 12t) cos t y = (1 + cos 12t) sin t z = 1 + cos 12t Explain the appearance of the graph by showing that it lies on a cone.
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10/10/16

how to find a derivative with just variables and when an exponent is raised to another exponent. (correct me please)
so the question states h(y)= (b/a+y^3)^5 I am not sure how to do this with just variables but I assumed a and b to be constants since they aren't variables from the equation. I then found this... more
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10/10/16

I'm not sure how to use the information given in order to find the derivative.
1) Suppose R '(1) = 6. (a) If f(x) = R(4x), find f ' (1/ 4) .(b) If g(x) = R(x + 3), find g ' (−2).(c) If h(x) = R (x/11) , find h ' (11). So in all of these cases I am not sure what to do since... more
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10/10/16

how to find really complex derivatives (please correct my thinking)
part c) g(θ) = 8(7)^−θ   I tried to find this and I used the chain rule where I assumed 8 was the outer derivative and (7)^−θ was the inner derivative. I got 8* -θ(7)^(-θ-1) but I got it wrong.... more
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10/10/16

Proof by induction
1 × 3 + 3 × 5 + 5 × 7 + . . . + (2n − 1)(2n + 1) = n(4n2 + 6n − 1)/3.      
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10/10/16

proof by induction
Use the method of proof by induction to show that (1+x+x2 +. . .+xn-1)(1−x) = (1−xn), for all positive integers n
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10/10/16

Find the side lengths x and y of the largest area where L is a given length for the diagonal. At the critical point, y=? x=? A=?
It says to eliminate one variable so I eliminated x.   A=xy L2=x2+y2 x=(L2-y2)1/2   A=y*(L2-y2)1/2     =(L2y2-y4)1/2 Derivative =1/2(L2y2-y4)-1/2 *L22y-4y3   I don't know where to go... more
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10/10/16

Define the equivilance relation on the set of R that partitions the real line into subset length 1
Define the equivilance relation on the set of R that partitions the real line into subset length 1 {[n, n+1]: n ∈ Z}
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10/10/16

some true and false about the chain rule ( I don't understand the notation or the question)
part b) (fg)'(x) is never equal to f'(x)g'(x)   part d) if the derivative of f(g(x)) is equal to the derivative of f(x) for all of x, then g(x)=x for all x   Part e) suppose that f'' and g''... more
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10/09/16

An unfair coin with Pr[H] = 2/3 is flipped.
An unfair coin with Pr[H] = 2/3 is flipped. If the flip results in a head, then a marble is selected from an urn containing 9 red, 7 white, and 5 blue marbles. If the flip results in a tail then a... more
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10/09/16

matrix with respect to bases given
f is a linear transformation from P2 to R3 whose standard matrix is                                                                                                  A=  1     0   −1              ... more
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10/08/16

Vector Functions and Space Curves PLEASE HELP!
At what points does the curve r(t) = ti + (4t − t^2)k intersect the paraboloid z = x^2 + y^2? (If an answer does not exist, enter DNE.)   smaller t-value (x, y, z) = larger t-value (x, y, z)... more
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10/08/16

linear transformation
A mapping ?? : R3 → R3 is defined by ??(??1,??2,??3)=(??1 +??2,??2 +??3,??3 +??1). (i) Show that ?? is a linear transformation. (ii) Write down the standard matrix of ?? with respect to the... more
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