12/10/16
Cartesian equation
Eliminate the parameter to find the Cartesian equation for parametric equation: x = sin t, y = 1 + cos t.
12/09/16
The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of 3.8% per day. Find the half-life of this subs
(that is, the time it takes for one-half the original amount in a given sample of this substance to decay). Note: This is a continuous exponential decay model. Do not round any intermediate...
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12/09/16
Convert the Cartesian equation y=√3x to a polar equation.
would it be...
a. r=√3θb. θ=√3rc. θ=pi/3d. r=√3
12/09/16
If x=sint and y=cost, 0≤t≤π20≤t≤π2, eliminate t and write y as a function of x.
would it be...
a. y=1-x^2b.y=sqrt(x^2-1)c. y=squrt(1-x^2)d. none of these
12/08/16
A piece of wire 10 m long is to be cut into two pieces.
A piece of wire 10 m long is to be cut into two pieces. One piece is to be bentinto a square and the other is to be bent into a circle. How should the wire be cut sothat the total area enclosed is...
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12/06/16
How to use the Fundamental Theorem to calculate the definite integral
Use the Fundamental Theorem to calculate the definite integral
a) ∫-5 to e-6 (1/(t+6)) dt
f) ∫-1 to 1 for (1/(1+y^2)) dy
I'm not sure how to do these. I plugged in the upper and lower...
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Prove (x^5)+(e^x)=0 has at most 1 real root
I know to like assume that (x^5)+(e^x)=0 has two distinct roots and then find the contradiction. But am stuck.
12/05/16
Find the interval [a,b] for which the value of the integral ...
∫a b (2+x-x2)dx is a maximum. Please explain your reasoning.
12/05/16
What are the apexes of this formula: f(x) = sin(x) x cos(x)
I don't know how to fix this problem. Can anyone help me?
Is Sin^-1 (x) = - Cos^-1 (x)
In integration, it is given as:
Integration of 1/(1-x^2)^(1/2) = sin^-1 (x)
and
Integration of 1/(1-x^2)^(1/2) = - cos^-1 (x)
Does this imply both are equal?
12/04/16
Radian Measure
Find the argument of the complex number z=I in radian measure.
a. pi/3
b.3pi/2
c.pi
d. pi/2
Please show step by step work to solution and provide final answer. Please and Thank You!
12/04/16
The average value of y = v(x) equals 2 for 1 ≤ x ≤ 5, and equals 11 for 5 ≤ x ≤ 14.
The average value of y = v(x) equals 2 for 1 ≤ x ≤ 5, and equals 11 for 5 ≤ x ≤ 14. What is the average value of v(x) for 1 ≤ x ≤ 14?
12/04/16
Find the exact average value of the function over the given interval.
Find the exact average value of the function over the given interval.
f(x) = 8x + 12 over [1, 7]
average value=
Exponential Function
Determine an exponential function in the form y=Cbx given two points (0,-2) and (1,-6)
the answer is y= -2(3x) but I do not know how that was reached
thank you in advance
12/03/16
Need to simplify
(CosA-cosB)2 + (sinA-sinB)2
Can someone help me solve this? and what steps do we take ?
12/03/16
What is the z-score
the number of nuts in a can of mixed nuts is found to be normally distributed, with a mean of 500 nuts and standard deviation of 20 nuts. my can of mixed nuts has only 475 nuts. what is the z-score...
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12/02/16
Triangle ABC has vertices (0,0) ,(11,60) and (91,0). If the line y=kx cute the triangle into two triangles of equal area then k= ? Find the value of k
The question is from the chapter Straight Lines
12/02/16
Increasing/behavior behavior of derivative
y= 4x-x^2-3lnx
f'(x)= 4-2x-(3/x)
My book is saying that its always decreasing, but when i look at the behavior before 0 , its negative and then after 0 its positive. Im confused
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