12/11/16

Differential equations

Find y=f(x) that satisfies y-y'=0

12/10/16

Cartesian equation

Eliminate the parameter to find the Cartesian equation for parametric equation: x = sin t, y = 1 + cos t.  

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... more

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

Sec^4x-2sec^2xtan^2x+tan^4x

Need help 

12/09/16

If x=sin⁡t and y=cos⁡t, 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

12/09/16

vertex and axis of symmetry

identify vertex, axis of symmetry and min/max of f(x)=x2-4x+8

12/09/16

solve x^4+7x^2-18=0

Solve the equation

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... more

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... more

12/06/16

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.  

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.

If f' is continuous on [a,b], show that:

2∫a b f(x) f'(x) dx = [f(b)]2 - [f(a)]2

Evaluate the following:

  lim     1      1       2       3             n            — [ (—)9+(—)9+(—)9+...+(—)9 ] n->∞   n      n       n       n             n

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

Need to simplify

(CosA-cosB)2 + (sinA-sinB)2   Can someone help me solve this? and what steps do we take ?

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... more

how to solve 5 degree polynomial

x^5-2x^4+x^3+x+5

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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