Mathematics

Derivative math question

It is given that the curve y = (x − 2)e^x has one stationary point. A. Find the exact coordinates of this point B. Determine whether this point is a maximum or a minimum point.-y = (x-2)e^x. Find t

Operational Amplifiers {inverting or non-inverting}

When you look at a circuit with op amp or an op amp alone. How do you determine if it is inverting or non-inverting? what is the characteristic of the circuit that hint you that is is invert or non-in

Do Gaussian integers form a group under multiplication

Could you please show a full general proof checking for identity, closed, inverse and so on PLEASE HELP AND SHOW WORKING !!!! :)-to make thing clear, i will assume in the following: z = a+bi, where a

Let k be a positive integer. Show that 1^k+2^k+...+n^k is O(n^(k+1)).

I am stuck on this problem for my discrete math class. Any help would be greatly appreciated.-Note that 1^k + 2^k + ... + n^k ≤ n^k + n^k + ... + n^k = n * n^k = n^(k+1) for all n ≥ 1. Hence 1^k + 2^

Math help (algebraic expressions) simplifying and factoring.

Hello. I have these 2 questions and I was wondering on how to solve them. I am able to get the answer for the first one, but is there perhaps a shorter method to achieve the answer? Simplify the f

Need some math help please and thank you

A shopper buys three oranges and five lemons for $10.26, while a second shopper buys four lemons and six oranges for $11.16.What is the price of each fruit?-3o+5l=10.26 6o+4l=11.16 Double the first f

Find the equation of the smallest positive asymptotes in term of Pi

Find the equation of the smallest positive asymptotes in term of Pi y=tan2theta-Hello, y = tan(2x) = sin(2)/cos(2x) So there is a vertical asymptote every time cos(2x)=0: cos(2x) = 0 2x = ± π/2 + 2k

Find the smallest positive value of x, if (x,2) lies on the graph of y=4cos1/2 (x-(pi/3)) + 1

Since y = 2; 2 = 4cos1/2 (x - pi/3) + 1 1 = 4cos1/2 (x - pi/3) 1/4 = cos1/2(x - pi/3) arc cos 1/4 = 1/2(x - pi/3) 1.3181(rad) = 1/2(x - pi/3) 2.6362(rad) = x - pi/3 x = 2.6362(rad) + pi/3(rad)

How to solve this integral: ∫ (x²/(x-1)) dx

The steps on how to get this would be nice.-Hint: Do the division: x^2/(x-1) = x+ 1 + 1/(x-1), now integrate term by term (the integral of the last term is a logarithm).-You perform the division tha

10 points, math help please? :)

Ok well I have this question: 5-1/3x(6-2)+2 When I do it on the calculator it says the answer is 5 2/3 but whenever I try to do it I get 6 2/3. Can someone explain how to do this question? Ive tried

My test had 20 questions, i had 5 wrong out of 20 but there was also a back side with 20 more points.

My test had 20 questions, i had 5 wrong out of 20 but there was also a back side with 20 more points. 10 points was to do a redox reaction right and 10 more points for chemical naming. If i had 3 chem

Calculus functions help.

f(x) = 8 / (x)^2 find and simplify: ( f(x + h) - f(x) ) / h )-Plug in (x+h) for x. ([8/ (x+h)^2] - [8/ x^2]) * (1/h) Find the common denominator by cross multiplying. [(8x^2) - 8(x+h)^2] / [((x+h)^

Show that 3x^4+1 is O(x^4/2) and x^4/2 is O(3x^4+1)...

My teacher gave us this hint: (hint: prove x^4 is not O(x^3) by contradiction) Please help me if possible. This is Discrete Mathematics and I am extremely confused on what to do..-Note that for all x

Theres a sale at my clothing store help!

so i want to buy these jeans and its10 percent off $195 dollars so whats that? thanks so much!-19.5 dollars off.... maybe you shouldnt work there if you cant figure out what ten percent of something i

Arrange the function (1.5)^n, n^100, (log n)^3, sqrt(n)*logn, 10^n, (n!)^2, and n^99+n^98 in a list so that...

Arrange the function (1.5)^n, n^100, (log n)^3, sqrt(n)*logn, 10^n, (n!)^2, and n^99+n^98 in a list so that each function is big-O of the next function. Stuck on this problem for my discrete math cl