infinite, Mathematics

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Logarithmic functions, If x = b y where both b > 0, x > 0, then we d...

If x = b y where both b > 0, x > 0, then we define y = log b x, which is read as "y is the log to the base b of x". This means that, log b x or y is the number to

Solve by factorization, Solve by factorization X 2 +(a/a+b + a+b/a)x+...

Solve by factorization X 2 +(a/a+b + a+b/a)x+1 = 0 X 2 +(a/a+b + a+b/a)x+1 =>  X 2 +(a/a+b x a+b/ax + a/a+b .a+b/a) =>  X[x+a/a+b] +a+b/a[a+a*a+b]= 0 =>  X= -a

Find the function and domain, Consider the function f(x) = x + 1/x 2 + 2x ...

Consider the function f(x) = x + 1/x 2 + 2x - 3. (a) Find f(2) and f(-2). (b) Find the domain of f(x). (c) Does the range include 1? Show your working. (d) Find and si

Randomly chosen boy can run this race in 302 sec, School run known to posse...

School run known to possess normal distribution with mean 440 sec & SD 60 sec. What is probability that randomly chosen boy can run this race in 302 sec.

Mathematical sequences, The number of seats in each row can be modeled by t...

The number of seats in each row can be modeled by the formula C_n = 16 + 4n, when n refers to the nth row, and you need 50 rows of seats. (a) Write the sequence for the numb

Ordinary differential equation, find the normalised differential of the fol...

find the normalised differential of the following {1,x,x^3}

Related rates of differentiation., Related Rates : In this section we wil...

Related Rates : In this section we will discussed for application of implicit differentiation.  For these related rates problems usually it's best to just see some problems an

Maximum and minimum values, Find all the local maximum and minimum values a...

Find all the local maximum and minimum values and saddle points of the function f(x, y) = x 2 - xy + y 2 + 9x - 6y + 10

What is the value of the lesser integer, The sum of three times a greater i...

The sum of three times a greater integer and 5 times a lesser integer is 9. Three less than the greater equivalent the lesser. What is the value of the lesser integer? Let x =

Mortgages, compute the monthly payment on a 30 year level payment mortagage...

compute the monthly payment on a 30 year level payment mortagagesasuming an annual mortgages principal of $400000

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