01/25/14

Can you help me with this AP Calculus problem?
The graphs of the polar curves r=3 and r=4-2sin(theta) are shown in the figure above. The curves intersect when theta=pi/6 and theta=5pi/6.   a) Let S be the shaded region that is inside the... more
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01/25/14

What reasoning process is this?
We examine the email addresses of 500 people. No two individuals from this group of people have identical email addresses. We conclude that for all people, no two people have identical email... more
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01/25/14

Find the limit?
Consider the differential equation dy/dx=y^2(2x+2). Let y=f(x) be the particular solution to the differential equation with initial condition f(0)=-1.   a) Find the limit of (f(x)+1)/sin(x) as x... more
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01/22/14

From Graphical Analysis
Please help me with this. It looks long, but it really is not.A physics student wants to determine the relationship between the radius of a charged conducting sphere and the magnitude of the... more
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01/22/14

Archimedes Principle
Please help! I just do not even know what I'm doing, and currently waiting for tutors to respond to work with me one on one.     An unknown fluid could be determined from   ρfl=(T-T'')/(T-T')... more
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01/22/14

Uncertainty of the centripetal force
A lab experiment was performed to find the centripetal force on a rotating body which measured mass(m), frequency(n), and radius(r).  It was found that Fc=4Π2n2mr.  How do I write an expression for... more
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01/22/14

Probability of the sum of three random cards from a standard deck of playing cards
Ok, I was watching TV and saw hold'em poker playing. In that game three cards are flipped over in the center of the table. If one was to give the cards valuations (Ace=1, 2=2,....and so forth Jack,... more
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01/22/14

find the comulative distribution function CDF?
 a three digit message is transmitted in communication system over a noisy channal having a probability of error Pe=2/5 per digit,
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01/20/14

Find the general solution?
Find the general solution for the equation dy/dx+y=xe^-x.   Answer: y=(x^2/2)e^(-x)+Ce^-x   Please show all your work.
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01/17/14

Find the volume?
The region in the first quadrant between the x-axis and the graph of y=6x-x^2 is rotated around the y-axis. The volume of the resulting solid of revolution is given by   a) ∫ pi(6x-x^2)^2 dx from... more
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01/16/14

Probability of a deck of cards.
Three cards are randomly selected from a standard deck of 52 cards. What is the probability that the first card is red, the second card is black, and the third card is a heart. You DO NOT REPLACE... more
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01/15/14

integral of dx/root of c-k/x
∫dx/(c-k/x)1/2 
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01/15/14

Optical Density
What Is Optical Density? Difference between optical and mass density!
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01/15/14

i am trying to find potential and kinetic energy of a pendulum
i found the pe the mass was .1 kg x 9.8 gravity height .155 m the question is calculate the ke of pendulum at its lowest point using the formula mgh=1/2mv2
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01/14/14

Integration by iteration
Calculate an expression for the int from 1 to e of (ln(x))^k dx in terms of the integral from 1 to e of (ln(x))^k-1 dx. essentially, I need to integrate by parts to get this equality: The... more
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01/14/14

Family of polynomials
Find two unique functions that satisfy the conditions P(-4) = P(-3/4) = P(1/2) = 0 and p(-2) = 60Family of polynomials 
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01/12/14

What are all values?
What are all values of x for which the series ∑ (x-1)^n/n from n=1 to infinity converges?   Answer: 0≤x<2   Please show your work step by step. I'm new to this topic.
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01/12/14

Write two different cuic functions whose graps pass through the points (-3,0), (-1,0) and (2,6)
 Write two different cubic functions whose graps pass through the points (-3,0), (-1,0) and (2,6)
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01/11/14

What is Taylor Expansion for ( S)/((S^2+??^2 )(S^(2-?)+??^2 S^?))
i have tried adding and subtract  ωº^2 for the second term  the final answer should be  ((∑k,q(-1)k+q ωº 2 k ω2(k+q) (k+q)!) /(k! q!)) *(Sβ /( S 2+ωº 2)K+Q+1),Where β= -1-2 k+α+2α k+2 α q
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01/07/14

Find f(x)?
If ∫ f(x)sinx dx=-f(x)cosx+∫ 3x^2*cosx dx, find f(x).   Answer: x^3   Please show all your work.
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01/07/14

Find h(x)?
If f and g are twice differentiable functions such that g(x)=e^f(x) and g"(x)=h(x)e^f(x), find h(x).   a) f'(x)+f"(x) b) f'(x)+(f"(x))^2 c) (f'(x)+f"(x))^2 d) (f'(x))^2+f"(x) e)... more
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01/06/14

Find all values of c?
Let f be the function given by f(x)=x^3-3x^2. Find all values of c that satisfy the conclusion of the Mean Value Theorem of differential calculus on the closed interval [0, 3].   I know that... more
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01/05/14

how is the area of the circle calculated?
A rectangular plywood measures 2.1m by 70 cm . circular discs are to be cut out from the plywood of diameter 14 cm . how many discs can be cut and how much plywood will be left?
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01/04/14

Find f(e^-1).
If f is the solution of x*f'(x)-f(x)=x such that f(-1)=1, find f(e^-1).   Answer: -2e^-1    
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01/01/14

For which of the following choices?
Let f(x)=3x+1 for all real x and let ε>0. For which of the following choices of δ is abs(f(x)-7)<ε whenever abs(x-2)<δ?   a) ε/4 b) ε/2 c) ε/(ε+1) d) (ε+1)/ε e) 3ε   Answer: A
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