12/01/20

The function g(x) has a first derivative given by g(x) = x(x+5)2 (x−1). At what value(s) does g(x) have a relative maximum?

The function g(x) has a first derivative given by g(x) = x(x+5)2 (x−1). At what value(s) does g(x) have a relative maximum?

11/30/20

Calculus Question

An object has a constant acceleration of 40 ft/sec2, an initial velocity of -20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object

modeling with functions

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in. by 20 in. by cutting out equal squares of side x at each corner and then folding up the... more

07/20/20

Find the missing values assuming continuously compounded interest. (Round your answers to two decimal places.)

Initial Investment: $600Amount after 10 years: $1805Interest Rate: ?Amount of time it takes to double: ?

06/13/20

Question about the calculus

Use the graph to determine the limit. (If an answer does not exist, enter DNE.)(a)  lim x→c+ f(x) = (b)  lim x→c− f(x) = (c)  lim x→c f(x) = Is the function continuous at x = −1?YesNo    

04/02/20

Recursive and explicit equations

What is the recursive and explicit equation of 4,9,14,19,24

Permutations algorithm maximum difference/contrast

Hello, I was wondering what would be the algorithm for permutations with 5 numbers and 4 possible kinds of numbers used and order being important. To make each iteration as different as possible... more

03/05/20

trigonometric functions

What are the domain, range, and period of the function f(x) = –3cos(–2θ)?Answer in complete sentences.

Supremum and infimum

X1 = { x | x = 0 or x = (1/n) ; n € N(N - set of natural numbers)Find the supremum and infimum(if they exists ) of set X1

Calculating damage output in a video game

I have a character in a video game with 2 different sets of items. A normal attack does 800 damage, a critical attack does 1,5 times that, so 1200. The character has a certain attack speed, and a... more

use identities to find the value of each expression

If cos( pi/2 - Θ ) = -0.21, find sin( -Θ)

09/03/19

solve the system of equations y=2x y=x^2-15

find three consecutive integers

find three consecutive integers such that the sum of the first and twice the second is 122 minus three times the third.

Express statement in using quantifiers

I can see that it is straight forward when we have an statement like: "For all x, there exists a y, such that f(x,y) = 0", which I can re-write as: "∀ x ∃ y f(x,y) = 0". But, for example, when I... more

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