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There are six friends in a book club and each of them gives their book to one friend and receives a book from another friend. How many different ways can the books be exchanged, assuming that no two friends can exchange (give and receive) books?

How do you solve #4(7^(x + 2)) = 9^(2x  3)#?

What is the value of #f(x) = x^2 + 8x  6# when #f(2)#?

In the following graph, how do you determine the value of c such that #lim_(x>c) f(x)# exists?

How do you find the equation of the quadratic function that passes through the points #(1, 2)#, #(9, 4)# and #(11, 7)#?

A farmer has 240 meters of fencing material to enclose his rectangular plot of land. However, it is bound on one side by a river, and on the opposite side, half the fencing is purchased and supplied by the farmer that owns the lot. See below?

How do you implicitly differentiate #3y + y^4/x^2 = 2#?

How do you implicitly differentiate #3y + y^4/x^2 = 2#?

How do you implicitly differentiate #3y + y^4/x^2 = 2#?

How do you implicitly differentiate #3y + y^4/x^2 = 2#?

How do you simplify #(3 + 1/(x + (1/(x + 2/x))))/(3/(x + 2))#?

How do you simplify #(2sqrt(4x^2 + 36x + 81) + 3sqrt(9x^2  24xy + 16y^2))(2sqrt(x))#?
Thanks in advance.

A right triangle ABC is inscribed in a circle with centre O, as shown in the following diagram. A and C are endpoints of a diameter, and B is a point that lies on the circumference. AC measures #sqrt(277)# cm, and side BC measures 5 cm less than AB?>

A transit company charges $1.25 per ride with 10 000 passengers a day. The company wants to increase profit but realize that with each 10 cent augmentation in fare, they will lose 500 passengers. What should the company charge to maximize profit?

How do you factor #243(3x  1)^2  48(2y + 3)^2#?

CALCULUS RELATED RATE PROBLEM.
PLEASE HELP??

Triangle ABC has vertices A(3,1), B(5,7) and C(1, y). Find all y so that angle C is a right angle?

How do you use the limit definition to find the derivative of #y = cscx#?

The sides of a triangle form three consecutive terms in an arithmetic sequence, with sides of length #2x + 5#, #8x#, #11x + 1#. Determine the measure of the smallest angle within the triangle?

What is the value of #x# in #log(x+ 2)! log(x + 1)! = 2#?

What is the maximum area of a rectangle that can be circumscribed about a given rectangle with length L and width W?

If #log_2 x#, #1 + log_4 x# and #log_8 4x# are consecutive terms of a geometric sequence, what are all possible values of #x#?

John wants to form 5 digit numbers from the set of integers from 0 to 9 inclusive. Assuming he can reuse numbers, and the 5 digit number must start with and 8 and end with a 0, how many different numbers may he form?

I remember when I started on Socratic there was a list of how many answers I had written in each topic. For example, it would indicate a number for number of answers in "solving trigonometric equations". What happened to this function??

Projectile motion question?

An infinite geometric series has a sum of 20, where all the terms are positive. The sum of the first and second terms are 12.8. What is the first term?

How do you solve the following questions?

Ap Calculus BC 2002 Form B Question 6??

Ap Calculus BC 2002 Form B Question 5?

Ap Calculus BC 2002 Form B Question 1?

Ap Calculus BC 2002 Form B Question 3?

Ap Calculus BC 2002 Form B Question 2?

Ap Calculus BC 2002 Form B Question 4?

Ap Calculus BC 2009 Question 5?

Ap Calculus BC 2009 Question 6?

Help with Calculus?

Ap Physics C 1989 M2?

Ap Physics C 2002 M2?

Ap Physics C 1995 Question 1?

Ap Physics C 1991 Question 1?