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Find the value of the Euler phi-function at each of these integers

Please help me with these problems! a). 100 b). 256 c). 1001 d). 2*3*5*7*11*13 e). 10! f). 20!-Use prime factorizations along with φ(p^n) = p^n - p^(n-1). a) φ(100) = φ(2^2 * 5^2) = φ(2^2) * φ(5^2) =

Find the equation of the tangent line to the curve at the given point...

Find the equation of the tangent line to the curve at the given point: y = (x - 1) / (x - 2) , coordinates (3, 2). Im trying so hard to figure out the derivative of the function, but I just cant do i

Distance between skew lines

Ive tried this problem several times, following a help guide but still cant seem to get it right. Help please? Find the distance between the skew lines with the given parametric equations. x = 3 + t

Which positvie integers have an odd number of positive divisors

please i need help-Think of it this way - all positive divisors come in PAIRS. So the only way for there to be an odd number of divisors is if one of those pairs is (x,x). That is - the number must be

Math question on cost and revenue

Hey guys Im having a hard time with this problem on my homework which is done online. I got the first answer correct but everything else Im confused about. All your help will be appreciated. :) A tir

What are the answers to these cal3 questions

1.) Evaluate the line integral, where C is the given curve. (Round your answer to one decimal place.)∫c [xy^2] ds, C is the right half of the circle x2 + y2 = 16 oriented counterclockwise 2.) Evalua

Word problem help algebra

A rock star who works part time as chemist, invests a total of $12,000 in 2 accounts. One account earns 4% interest per year; the other account earns 7% per year. If the total interest she earns in on

Help with math question Complete the square

16x^2+9y^2-36y=108 Please show how you complete the square and what kind of graph this is please. been trying this for quite a while. Cant get a fix on it.-16x^2+9(y-2)^2 =108+9*4 = 144 x^2/9 + (y-2)

MATH PROBLEM 5 STARS!!

I have a triangle with an angle of 60 and opposite side of 4. I am trying to find the hypotaneuse so I use tangent. Sin= opposite divided by hypotaneuse. Sin60=4/H H=4xSin60 H=3.46 I know the answer

How do you solve this logarithmic problem

Solve for x: 16 (log base 9 x)^4 - (log base 3 x^3)^2 + 8 = 0-16 (log base 9 x)^4 - (log base 3 x^3)^2 + 8 = 0 16 (log base 3 x / log base 3 9 )^4 - (3log base 3 x)^2 + 8 = 0 (log base 3 x )^4 - 9 (l

Help with my algebra

the operation && is defined for all values of x and y by the equation x&&y = x^2 + y^1/3. What is the value of -4&&x if x = 5&&8 the answer is 19. But I dont know how they got it, I keep getting -6.8-

Write an equation of the line parallel to x+2y=6 through (8,3)

show work put in standard form first-not sure wat you mean but ima guess and TRY to help . Sorry if this isnt it . x + 2y = 6-x-x2y=6-x2/2 6/2y = 3 - x 3 is your y intercept , -1 is your slpe .

The expansion of 1/√ (1+x)+√ (1−x) in ascending powers of x, up to and including the term in x2

Via conjugates, 1 / [√(1 + x) + √(1 - x)] = [√(1 + x) - √(1 - x)] / {[√(1 + x) + √(1 - x)] [√(1 + x) - √(1 - x)]} = [√(1 + x) - √(1 - x)] / [(1 + x) - (1 - x)] = (1/(2x)) * [√(1 + x) - √(1 - x)]. Now

Find the average cost

suppose that the dollar cost of producing x appliances is c(x)=1000+90x-0.2x2 a) find the average cost per appliance of producing the first 110 appliances. b)find the marginal cost when 110 appliances

Math transformations question

What is the main difference between the graphs of y= 4-x^2 and 2y= 4-x^2? Im confused with wether I would need to move the 2 over to the right side, and if i need to multiple that number by 4? :/-fir
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