#### 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...
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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: ?

07/09/20

#### Find the intervals on which f is increasing and the intervals on which it is decreasing.

f(x)= 1-x + 3x^2

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

03/10/20

#### 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...
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03/05/20

#### trigonometric functions

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

02/23/20

#### 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

02/12/20

#### 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...
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12/02/19

#### use identities to find the value of each expression

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

#### Evaluate (if possible) the function f(x)=1/x at the specified value of the independent variable and simplify the results

(F(1+ΔX)-f(1))/Δx

09/01/19

#### 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.

08/20/19

#### 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...
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