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MathNatural 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...

MathSo 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...

MathIn 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:...

MathPlease help: find the critical values and relative extrema for the function on the attached image. (1 image)`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...

MathWe are asked to find the relative extrema for f(x)=x^48x^3+8: This function is everywhere continuous and infinitely differentiable, so the extrema occur where the first derivative is zero....

MathWrite 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 onedigit number) by...

Mathplease help (1 image)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)...

MathIf 3 workers can build 3 houses in 3 days, how many houses can be built by 12 workers in 12 days....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,...

MathFirst, 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...

Mathf(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(1sin^2x)` Other operations can also be done...

MathStrictly 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...

MathSlope refers to the steepness of a line. A line written in slopeintercept 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...

MathGraph the function:

MathGraph the function:

MathGraph the function:

MathGraph the function:

MathGraph the function:

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))`

Math`cos(sin^(1)(2x)) = cos(cos^(1)(sqrt(1(2x)^2)))` `=cos(cos^(1)(sqrt(14x^2)))` `=sqrt(14x^2)`

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

MathGraph both of the functions. g(x): f(x):

MathGraph both function g(x) f(x)

MathGraph the function

MathGraph the function:

MathGraph the function:

MathGraph the function:

MathGraph the function:

MathGraph the function:

MathGraph the function:

Mathsin and arcsin cancel. Leaving the answer to be 0.3

MathTan and arctan cancel This leaves to the answer to be `45 `

Mathcos and arccos cancel. This leaves the answer to be `0.1 `

Mathsin and arcsin cancel. This leaves the answer to be `0.2 `

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

Matharccos 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...

MathWe 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`

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 `

MathFirst, 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...

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)...

MathPlug in the expression into the calculator. `1.07 `

MathPlug in the expression into the calculator. `1.65 `

MathPlug in the expression into the calculator. `0.85 `

MathPlug in the expression into the calculator. `2.34 `

MathPlug in the expression into the calculator. `1.25 `

MathPlug in the expression into the calculator. `1.53 `

MathPlug in the expression into the calculator. `0.32 `

MathPlug in the expression into the calculator. `1.30 `

MathPlug in the expression into the calculator. `1.99 `

MathPlug in the expression into the calculator. `0.13 `

MathPlug in the expression into the calculator. `0.74 `