eNotes Homework Help is a way for educators to help students understand their school work. Our experts are here to answer your toughest academic questions! Once it’s posted to our site, your question could help thousands of other students.
Popular Titles
Showing
in
Math

MathGiven: `g(x)=ln(xsqrt(x^21))` Rewrite the equation using the Law of exponents. Then find the derivative. `g(x)=lnx+(1)/(2)ln(x^21)` `g'(x)=(1)/(x)+(1)/(2(x^21))(2x)` The derivative is:...

MathIn order to find h'(x) we need to know a few things: The derivative of log(f(x)), and of sqrt(x^21). We need to know the Chain rule. Given h(x)=log(x+sqrt(x^21)), we start by differentiating...

MathGiven: `G(y)=ln((2y+1)^5/sqrt(y^2+1))` Rewrite the equation using the Law of Logarithms. Then find the derivative of the function. `G(y)=5ln(2y+1)(1)/(2)ln(y^2+1)`...

MathYou need to differentiate the given function, with respect to "r" variable, such that: `g'(r) = (r^2*ln(2r+1))'` Using the product rule, yields: `g'(r) = (r^2)'*ln(2r+1) + r^2*(ln(2r+1))'` You need...

MathYou need to differentiate the function with respect to variable s, using the chain rule, such that: `F'(s) = (ln ln s)'` `F'(s) = ln'(ln s)*(ln s)'*(s)'` `F'(s) = 1/(ln s)*(1/s)*1` `F'(s) = 1/(s*ln...

MathNotes: 1) If y = lnx ; then dy/dx = 1/x 2) If y = x^n ; where n = constant , then dy/dx = n*{x^(n1)} 3) If 'y' is a function which contains subfunctions, then the last function is...

MathNotes: 1) If y = lnx ; then dy/dx = 1/x 2) If y = tanx, then dy/dx = sec^2(x) 3) If y = x^n ; where n = constant , then dy/dx = n*{x^(n1)} 3) If 'y' is a function which contains subfunctions,...

MathNotes: 1) If y = lnx ; then dy/dx = 1/x 2) If y = cosx, then dy/dx = sinx 3) If 'y' is a function which contains subfunctions, then the last function is differentiated first,then the second last...

MathThe integral `int (ln x)^2/x dx` has to be determined. This can be done by substitution. Let y = ln x, taking the derivative with respect to x: `dy/dx = 1/x` or `dy = dx/x` Now substitute this in...

MathThe integral `int dx/(5  3x)` has to be determined. This can be done using substitution. Let `y= 5  3x` Differentiating both the sides with respect to x gives: `dy/dx = 3` `=> dx = (dy)/3`...

MathThe integral `int x^2*e^(x^3) dx` has to be determined. Substitute `x^3 = y` `dy/dx = 3*x^2` `=> (dy)/3 = x^2*dx` Substituting this in the original integral gives: `int x^2*e^(x^3) dx` `= int...

MathPlease look at the attached picture down below for the table of values. The graph should look like this:

MathI have attached the table of values below in a picture format. The graph looks like this:

MathThe table of values are attached below. The graph looks something like this:

MathPlease look at the attached image for the table. The graph looks like this:

MathPlease look at the attached image for the table. The graph looks like this:

MathLook at the image attached for the table of values. The graphs looks like this:

MathIf you graph this function on any tool correctly, you should get this.

MathSimply plug the function into a graphing tool, and you should get this graph.

MathIf you correctly plug this function into any graphing tool, you should get this graph.

MathSimply plug the function into a graphing tool, and you should get this graph.

MathIf you plug this into any graphing utility, you will get this.

MathSimply plug the function into a graphing tool, and you should get this graph.

MathSince you already have the same bases, you just need to set the exponents equal to each other. `3x+2=3 ` Solve for `x ` `x=1/3 `

MathSince you already have the same bases, you just need to set the exponents eqal to each other. `2x1=4 ` Solve for `x ` `x=5/2 `

MathSince you already have the same bases, you just need to set the exponents eqal to each other. `x^(2)3=2x ` Subtract `2x ` from both sides `x^22x3=0 ` Solve the quadratic equation `(x3)(x+1)=0...

MathWe have `e^f(x)=e^g(x) ` which means that `f(x)=g(x) ` , where `f(x)=x^2+6 ` and `g(x)=5x `. To find the value of `x ` such that `x^2+6=5x ` we may plot the difference `x^25x+6=0 `: It is easy...

MathPlug in the value `x=1.4 ` for the function `f(x) ` `f(x)=0.9^(1.4) ` Simplify `f(x)=0.863 `

MathPlug in the value `x=3/2 ` for the function `f(x) ` `f(x)=2.3^(3/2) ` Simplify `f(x)=3.488 `

MathPlug in the value `x=pi ` for the function `f(x) ` `f(x)=5^(pi) ` Simplify `f(x)=0.006 `

MathPlug in the value `x=3/10 ` for the function ` f(x)` `f(x)=(2/3)^(5*(3/10)) ` Simplify ` f(x)=0.544`

MathPlug in the value `x=1.5 ` in for the function `g(x) ` `g(x)=5000(2^(1.5)) ` Simplify `g(x)=1767.767 `

MathPlug in the value `x=24 ` for the function `f(x) ` `f(x)=200(1.2)^(12*24) ` Simplify `f(x)=1.274 E25 `

Math`3^(x+1)=27 ` Get the same base ` 3^(x+1)=3^3` Set the exponents equal to each other `x+1=3 ` Solve for x `x=4 `

Math`2^(x3)=16 ` Get the same base `2^(x3)=2^4 ` Set the exponents equal to each other `x3=4 ` Solve for x `x=7 `

MathGet the bases the same 1. `(1/2^(x))=32 ` Bring up the `2^x ` as a `2^(x) ` 2. `2^(x)=32 ` Get 32 into the base of 2 `2^(x)=2^5 ` Set the exponents equal to each other `x=5 ` Solve for x and do...

Math`5^(x2)=1/125 ` Get same base `5^(x2)=5^(3) ` Set the exponents equal to each other ` x2=3` Solve for x x=1

MathYou can see from the graphs that g(x) has been shifted up 1 unit.

MathYou can see from the graphs that g(x) has been reflected over the yaxis and shifted 3 units.

MathYou can see from the graphs that it has been flipped over the xaxis.

MathAs you can see from the graphs, it is clear that `` is flipped over the xaxis and shifted up 5 units.

MathPlug in `x=3.2 ` in for ` x` in the function. `f(x)=e^(3.2) ` Simplify, ` f(x)=24.532`

MathPlug in the value ` x=240` in for ` x` in the function. `f(x)=1.5e^(240/2) ` Simplify, `f(x)=1.956 E52`

MathPlug in the value `x=6 ` in for ` x` in the function `f(x)=5000e^(0.06*6) ` Simplify, `f(x)=7166.647 `

MathPlug in the value ` x=20` for ` x` in the function `f(x)=250e^(0.05*20) ` Simplify, ` f(x)=679.570`

Matha) To calculate the height in a vertical motion, we apply the following formula: h = (v^2 – v0^2)/2g (1) where: v → is the velocity at any instant of movement. At the highest point, the...

MathThe given line is : 2x  y + 1 = 0 or, y = 2x + 1 (the line is represented in slope intercept form) Thus, the slope of the line = 2 Now, the tangent to the curve f(x) = (x^2) is parallel to the...

MathThe given line is : 4x + y + 3 = 0 or, y = 4x  3 (the line is represented in slope intercept form) Thus, the slope of the line = 4 Now, the tangent to the curve f(x) = 2(x^2) is parallel to...

MathThe given line is : 3x  y + 1 = 0 or, y = 3x + 1 (the line is represented in slope intercept form) Thus, the slope of the line = 3 Now, the tangent to the curve f(x) = (x^3) is parallel to the...

MathThe slope of the line 3xy4=0 and the lines parallel to it will be same. 3xy4=0 y+4=3x y=3x4 Therefore the slope(m) of the line is the coefficient of the x = 3 The slope of the tangent line to...