# Math Homework Help

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• Math
Natural number is the positive number which lies between 1 to infinity in the number line. where as when the 0 is added to the natural numbers then those set of numbers are called as Whole...

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• Math
So there are several ways of going about writing a fraction as a mixed number. This question asks how to write a quotient as a mixed number. A quotient is the result of dividing one number by...

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In order to divide two fractions, we have to multiply the numerator (top of fraction), by the reciprocal of the denominator (bottom of fraction). To do this, let's look at an example:...

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`f(x) = -4x^2 + 24x+ 2` a) Critical values are the values where the derivative is zero and does not exist. The first derivative of the function is f'(x) = -8x + 24 This exists everywhere and is 0...

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• Math
We are asked to find the relative extrema for f(x)=x^4-8x^3+8: This function is everywhere continuous and infinitely differentiable, so the extrema occur where the first derivative is zero....

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• Math
Write this problem in a vertical multiplication format: SAY 3 ------ BABY Start multiplying from right to left, as usual for vertical multiplication. When you multiply Y (a one-digit number) by...

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• Math
We are given the graph of f(x) -- it looks like a parabola (but may not be one) with vertex at (4,-3) opening down. We are given g(x)=-f(x+3)-3. Note that the graph of g(x) is the graph of f(x)...

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• Math
Since there are 3 workers for 3 houses to be built in 3 days, then we can see we have 1 worker per house per day. Therefore we have 4 groups of 3 therefore, 4 workers can make 4 houses every day,...

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• Math
First, find the rate at which the worker can lay tiles. This rate can be found as floor area divided by time. Since the worker can lay tiles for the floor space in a shape of a square with a 6 ft...

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• Math
f(x) = `cos^2 x + cos^2 x = 2 cos^2 x` Using the trigonometric identities, it can also be stated in different forms, f(x) = `2 cos^2 x = cos2x + 1 = 2(1-sin^2x)` Other operations can also be done...

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• Math
Strictly speaking, parenthesis do not represent any property, but they serve to prioritize an operation. According to the order of operations agreement, the operation in parenthesis is always...

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• Math
Slope refers to the steepness of a line. A line written in slope-intercept form is written as y=mx+b where m is the slope of the line. A positive slope indicates that the line rises as you move...

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• Math
Graph the function:

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Graph the function:

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Graph the function:

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Graph the function:

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Graph the function:

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• Math
`sin(arctan(x))` let `theta = arctan(x)` => `tan(theta)=x= x/1` by using the right triangle we get the hypotenuse is `= sqrt(1+x^2)` so `sin(theta) = x/(sqrt(1+x^2))`

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• Math
`cos(sin^(-1)(2x)) = cos(cos^(-1)(sqrt(1-(2x)^2)))` `=cos(cos^(-1)(sqrt(1-4x^2)))` `=sqrt(1-4x^2)`

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• Math
`sin(cos^(-1)x) = sin(sin^(-1)(sqrt(1-x^2)))` `= sqrt(1-x^2)`

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• Math
Graph both of the functions. g(x): f(x):

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Graph both function g(x) f(x)

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Graph the function

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• Math
Graph the function:

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• Math
Graph the function:

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Graph the function:

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Graph the function:

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Graph the function:

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Graph the function:

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• Math
sin and arcsin cancel. Leaving the answer to be 0.3

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• Math
Tan and arctan cancel This leaves to the answer to be `45 `

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• Math
cos and arccos cancel. This leaves the answer to be `-0.1 `

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• Math
sin and arcsin cancel. This leaves the answer to be `-0.2 `

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• Math
Set `arcsin(sin(3pi))=x` Take the sin of both sides `sin(3pi)=sinx` `0=sinx ` Therefore, `x=0 `

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• Math
arccos and cos cancel out, leaving `(7pi)/2 ` . However, the range of arccos restricts the answer to `pi/2 ` Alternatively, , you could find the `cos((7pi)/2) ` , which is `0 ` . Then, find the...

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• Math
We know that `cos(arccos(-2/3)) = -2/3` Therefore, using trig identities, => `sin = sqrt(1 - cos^2) = sqrt(1 - 4/9)` Thus, => `sin = sqrt(5/9) = sqrt(5)/3`

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• Math
`cotx=1/tanx` Given, => `cot(tan^-1(5/8)) ` We know that `cotx=1/tanx` Therefore, => `1/(tan(arctan(5/8))) ` tan and arctan cancel => `1/(5/8) ` Simplify => `8/5 `

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• Math
First, find the inner expression. Set `cosx=-sqrt3/2 ` because we need to find what value of x yields `-sqrt3/2 ` Use a unit circle to find this value => `x=(5pi)/6 ` Draw a triangle, Given the...

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• Math
`sec(sin^-1 (-sqrt(2)/2))` `Let theta = sin^-1 (-sqrt(2)/2)` so we need to find `sec (theta)` => `sin(theta) = (-sqrt(2)/2)` =>` sin(theta) = -1/sqrt(2)` we know `sin^2(theta) +cos^2(theta)...

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• Math
Plug in the expression into the calculator. `1.07 `

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Plug in the expression into the calculator. `1.65 `

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• Math
Plug in the expression into the calculator. `-0.85 `

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Plug in the expression into the calculator. `2.34 `

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Plug in the expression into the calculator. `-1.25 `

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Plug in the expression into the calculator. `1.53 `

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Plug in the expression into the calculator. `0.32 `

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Plug in the expression into the calculator. `1.30 `

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Plug in the expression into the calculator. `1.99 `

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Plug in the expression into the calculator. `-0.13 `

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