calc 8.5

What kinds of functions can

What term(s) should appear in the partial fraction

Give the partial fraction

First: factor(x^2-6x-27) = (x-9)(x+3) These are the denominators.Second: Solve The left side 3 is from the numerator in the original question.

Let X first equal 9 and solve for A. . So, A=1/4Then, let X equal -3 and solve for B. . So, A=-1/4Place these in the appropriate numerators and be sure of the +/- sign.

Give the partial fraction

First: factor(x^2-3x) = x(x-3). Set these as the denominators.Second: Solve Now, solve for A by setting A=0. 34(0)-27=A(0-3)+B(0). So, A=9Then, solve for B by setting B=3. 34(3)-27=A(3-3)+B(3). So, A=25Place them in the appropriate numerators.

Write the partial fraction decomposition

Go to Wolfram: write the partial fraction decomposition ((7x^(2)-15x+72)/(x(x-9)(x-8)))

Evaluate the following integral.

The denominator is already factored. So, the formula is If you multiply both sides by the factor, you get the following equation: which can be rewritten as This results in the following two equations to solve for A and B. and Using the first equation, you can say that B=-APlug negative A in for B in the other equation in order to find A.

Plug the found value of A into the equation to solve for B.

Place those in the appropriate numerators and mine the +/- sign.Use calc for the second part.

Evaluate the following definite integral.

Factor the denominator. The numerator is just the whole number from the bottom.


Factor the denominator. After that, put the factors in order as above: high to low, positive, neg, neg pos. Follows the same format. Numerators are just the same as below.Then use calculator.


Factor the denominator. Follow the same format as the example answer. Youll have to add that single x. Over the x^2 goes whatever integer is given in the denominator. The others are 1.Give the appropriate form of the partial fraction

Id just copy the format.

Give the appropriate form

Copy the form.

Give the appropriate form

Copy.Evaluate the following integral.

Fairly simple from instructions. Format is the same. Only need to find the value for B really.


I really dont fucking know how to solve for B. Best guess is just do 1 and -1 for numerators.


Copy. Calc.

Find the area of the following region.

I used Wolfram to plot it.To solve the volume I integrated the given function with limits -3 and 3. I got ln(21). Not sure why its not negative. Maybe because volume cant be negative?Find the volume of the solid

This answer was fucked up because it didnt answer exactly in calculator.Follow the format as given. The 49 comes from squaring the x2 value.

Explain why the coefficients A and B


Calculator.Three cars,

Evaluate the following integral

Crazy monkey math.Type the integral into calc, then paste into Wolfram. Then youll have to make all the weird ass adjustments from the top Wolfram answer into whats required.Look below. All the signs in the REAL answer must remain the same regardless of what wolfram has them as. Also, the numerators are what is in front of the log, and the denominator is whats in the log. (1-x) needs to be reversed to (x-1).

The following integral requires a preliminary

Part 1: CopyPart 2: CopyPart 3: The denominators should be in the same order as in the equation with the same sign. In the top part the number (10) is determined by adding the two given numbers together (7+3=10). Then put that under 1. The numerator (1/10) that is over the positive u+7 should be negative.Part 4: CalcUse the indicated substitution

Pure monkey math. Look at whats ahead of the dx (6).Now, pimp it out to the equation looking at the root number. 6*2=12, 6*3=18, 6*6=36. Follow that same pattern and keep the same signs. Dont forget the +1.One of the earliest approximations

The following integral requires a preliminary

I didnt really try. Hope you dont get it.

calc 8.5

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