Mathematics

I need help with a math question involving differentiating functions

Q: Differentiate the function y = 2x^7 + x^2 - 3/x^5 + x^1/4 - 54e^x +16 Can someone explain how to solve this?-d/dx(2*x^7) = 7*x^(7 - 1) = 7*x^6 d/dx( - 3/x^5) = - 3*x^(- 5) = ( - 5)*( - 3)*x^( - 5

Please simplify fully, 3kg:400g

simplify fully. 3kg: 4000g so 3000:400 whats next? also simplify 1/2 : 3/4 and if one ratio is 5: 3 (what is the question mark ), 18 : ? Also a house has girls to boys in the ratio of 4:9 if there are

Double integral of exponential with absolute variables

How would I compute: Copy link to url: http://latex.codecogs.com/png.latex?\tiny\dpi{200}\iint_{-T}^{T}e^{-\alpha|t_1-t_2|}dt_1dt_2 Thanks-Assume that α is nonzero. --------------------------- Assum

Can you help me with my maths

Can you help me do this? Time - 1,2,4,5,6,7,8,9,10,11,12,13,14 Weight - 40,50,77,92,107,133,146,190,210,240,280,… I made a graph to put LOG-W and T together, and now its asking me this. Questions:

What is the name of this formula (calculus)

https://k.minus.com/jbqTKL4ees2m1s.jpg the limit as h approaches 0 of f(x+h) - f(x) / h-Its a formula for the derivative. On our exams when we use that formula its called Solve by definition. EDIT: O

How would you solve this equation

Graphically: x^2/3+x^1/3-6=0-x^2/3+x^1/3-6=0 ley x^1/3 = y y^2+y - 6 = 0 y^2+3y-2y-6 = 0 y(y+3)-2(y+3) = 0 (y-2)(y+3) = 0 y = 2 or -3 so x = 8 or -27-I believe; X ^ (2/3) + X ^ (1/3) - 6 = 0

Probability question.

There are 9 numbers in the basket. If I pick 3 numbers from the basket (dependent), what are the chances that these 3 numbers contain 6 and 9?-9c3 = (9•8•7) / (1•2•3) = 84 ways to choose 3 7 ways to c

How do I change cosx - isinx into cosx + isin x

Basically as question states, how to change something thats not cisx into cisx? Thanks!-Pull the negative inside -i∙sin(x) → i∙sin(-x). Note that cos(x) is an even function, so cos(x) = cos(-x).

I need help with a math question involving finding points on a curve where the tangent is horizontal

Q: Find the points on curve y = 2x^3 - 3x^2 - 36x + 4 where the tangent is horizontal.-If the tangent is horizontal, the slope is zero. The slope of the tangent to a curve is the derivative of the cur

Linear algebra - matrix

Please help - I dont know how to start this question . an unknown matrix A has 5 original row vectors v1,v2,v3,v4,v5. The following row operations are then performed on A in given order. 1. Row2 +3xR

If f(x) = (e^x)(cos(x)), find f '(x) and f "(x)

just use multiplication rule f(x)=e^x(cosx-sinx) f(x)=-2 e^x sinx-i would answer but its a pain to write down e^x and cosx so many times especially when solving for f(x)

What are some good sites for math problem solving practice

What are some good sites to get algebra, geometry, and other problems for practice solving?-Coolmath.com

Can someone help me proove this problem by induction

1-1/2+1/3-1/4+...+1/(2n-1)-1/2n >= (1/(n+1))+(1/(n+2))+...+(1/(2n-1)) thanks-This inequality becomes narrower and narrower as n grows.Therefore, to prove it by induction, you must strengthen the ind

I need help with finding a limit

Q: Find lim as t -> infinity of p(t) Can someone explain how to answer this question?-If you mean p(t) is the probability, then the limit = 1.-yea giving p(t) would really help u could do the defini

Solve √x>=x ? ! Please help me! I don't understand how to solve this ): 10 points :)

I dont really understand how to solve this ) : please help !-sqrt(x) >= x ===> (sqrt(x))^2 >= x^2 ... (f(x) = x^2 is increasing for x >= 0) ===> x >= x^2 ===> x^2 - x ===> x(x - 1) ===> x - 1 = 0) =