Math at eNotes
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The latest questions and answers, from members following Math at eNotes.Fri, 27 Feb 2015 04:33:01 PSTen-usThe limit `lim_(x->2) (x^3 -8) / (x^2 -4)` has to be determined. If...
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The limit `lim_(x->2) (x^3 -8) / (x^2 -4)` has to be determined. If we directly substitute x = 2 in `(x^3 -8) / (x^2 -4)` , the result is `(8-8)/(4-4) = 0/0` . `0/0` is an indeterminate form and for such expressions in limits it is possible to use l'Hospital's rule and replace the numerator and denominator with their derivatives. `(x^3 - 8)' = 3x^2` `(x^2 - 4)' = 2x` The limit is now : `lim_(x->2) (3x^2)/(2x)` = `lim_(x->2) (3x)/(2)`...http://www.enotes.com/homework-help/what-value-lim-x-gt-2-x-3-8-x-2-4-204931Fri, 27 Feb 2015 04:33:01 PSTThe limit `lim_(x->0) (1-cosx)/x^2` has to be determined. If we...
http://www.enotes.com/homework-help/calculate-limit-1-cosx-x-2-231157
The limit `lim_(x->0) (1-cosx)/x^2` has to be determined. If we substitute x = 0, the result `(1-cosx)/x^2` is the indeterminate form `0/0` . In this case it is possible to use l'Hospital's rule and replace the numerator and denominator with their derivatives. `(1 - cos x)' = sin x` `(x^2)' = 2x` The limit is now: `lim_(x->0) sin x/(2x)` If the substitution x = 0 is made here, the result is again the indeterminate form `0/0` . Using...http://www.enotes.com/homework-help/calculate-limit-1-cosx-x-2-231157Fri, 27 Feb 2015 04:18:02 PST(3) `5^(x-4)=25^(x-6)` To solve exponential equation, it is better if...
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(3) `5^(x-4)=25^(x-6)` To solve exponential equation, it is better if we can express each side with the same base. `5^(x-4)=(5^2)^(x-6)` Then, simplify the right side by applying the exponent rule `(a^m)^n = a^(m*n)` . `5^(x-4)=5^(2x-12)` Now that each side have the same base, set the exponents equal to each other. `x-4=2x - 12` And, isolate the x. `x-2x=-12+4` `-x=-8` `x=8` Hence, the solution is x = 8. (4) `7^(3x+4)=49^(2x+1)`...http://www.enotes.com/homework-help/can-someone-please-explain-how-solve-one-2-these-474943Fri, 27 Feb 2015 01:51:33 PSTCan someone please explain how to solve one or 2 of these exponential...
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Can someone please explain how to solve one or 2 of these exponential equations? Thanks!http://www.enotes.com/homework-help/can-someone-please-explain-how-solve-one-2-these-474943#1February 26, 2015, 10:57 pm PSTThe mean value theorem tells you that a certain slope is possible over...
http://www.enotes.com/homework-help/mean-value-theorem-can-applied-find-all-values-c-474934
The mean value theorem tells you that a certain slope is possible over an interval. What this question is asking you is to find all the points (values of c) where this slope exists over the interval. There can be one or more points with the mean value theorem slope. I will do another problem. `f(x) = x^2` on the interval [-2, 1] I find the slope between those two points (-2, 4) and (1,1) `(4-1)/(-2-1) = -1` I know there will be at least one...http://www.enotes.com/homework-help/mean-value-theorem-can-applied-find-all-values-c-474934Thu, 26 Feb 2015 20:23:31 PSTIf the Mean Value Theorem can be applied, find all values of c in the...
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If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b)such that f '(c) = f(b)-f(a)/b-a. 1. f(x)=square root of 1-x, [-8,1] I understand that The mean value theorem can be applied, but how do you find what C is equal too? The square root is confusing me and I cannot find an example to guide me through this question. I am not seeking an answer to this, because i prefer solving things on my own, so can...http://www.enotes.com/homework-help/mean-value-theorem-can-applied-find-all-values-c-474934#2February 26, 2015, 7:59 pm PSTYou are exactly right! There are 60 minutes in an hour. So instead of...
http://www.enotes.com/homework-help/please-anyone-help-ive-been-trying-2-days-already-474909
You are exactly right! There are 60 minutes in an hour. So instead of 77.59 Radians per 1 hour, its 77.59 radians per 60 minutes. So we divide 77.59 by 60 to get our answer in terms of radians per minutes. 1.293 Radians/Minutehttp://www.enotes.com/homework-help/please-anyone-help-ive-been-trying-2-days-already-474909Thu, 26 Feb 2015 18:10:55 PSTLike For Say, For the answer concerning 30 degrees. It's 20 radians per...
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Like For Say, For the answer concerning 30 degrees. It's 20 radians per hour. would you basically divide 20/60 in order to achieve 1/3 radians per minute?http://www.enotes.com/homework-help/please-anyone-help-ive-been-trying-2-days-already-474909#3Thu, 26 Feb 2015 05:53:56 PSTThank you so much for your help. One more question though. The answer is...
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Thank you so much for your help. One more question though. The answer is wanted in Radians per Minute. How would I convert the Answers from Radians Per Hour Into Radians per Minute? Is it simply dividing by 60? or is there more to it?http://www.enotes.com/homework-help/please-anyone-help-ive-been-trying-2-days-already-474909#4Thu, 26 Feb 2015 05:49:04 PSTThe attachment is the figure that represents the given in our problem....
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The attachment is the figure that represents the given in our problem. To solve for the rate of change of angle of elevation, let's apply the formula of tangent function. `tan theta=(o p p o s i te) / (a d ja cent)` For our triangle, the tangent is `tan theta =5/x` Then, isolate the x. `x=5/tan theta ` (Let this be EQ1). Next, lets take the derivative of our tangent with respect to t. `d/dt (tan theta)=d/dt (5/x)` `sec^2 theta (d...http://www.enotes.com/homework-help/please-anyone-help-ive-been-trying-2-days-already-474909#5Thu, 26 Feb 2015 05:36:24 PSTThe question asked is very vague. There are many things that can be done...
http://www.enotes.com/homework-help/how-do-u-do-using-properties-with-rational-numbers-474900
The question asked is very vague. There are many things that can be done with rational numbers, some basic operations are addition, subtraction, multiplication and division. When working with rational numbers, the order of precedence of operations can be remembered by the mnemonic BODMAS. First, operations with brackets should be done first, then deal with exponents, multiplication and division is done before addition and subtraction. If there...http://www.enotes.com/homework-help/how-do-u-do-using-properties-with-rational-numbers-474900Thu, 26 Feb 2015 04:53:00 PSTThese is a project and I actually have to create 3 formulating research...
http://www.enotes.com/homework-help/1-formulating-research-questions-questions-about-474776
These is a project and I actually have to create 3 formulating research questions, then i have to define the research variables and structuring survey questions for questionnaires. Propose 3 possible research questions. Enter your 3 discussion questions as follows: Research question 1...? Research question 2...? Research question 3...? 2. For 2 of the 3 research questions, operationalize the variables to answer those...http://www.enotes.com/homework-help/1-formulating-research-questions-questions-about-474776Thu, 26 Feb 2015 01:50:48 PSTAn airplane flies at an altitude of y = 5 miles toward a point...
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An airplane flies at an altitude of y = 5 miles toward a point directly over an observer. The speed of the plane is 400 miles per hour. Find the rates at which the angle of elevation θ is changing when the angle is θ = 30°, θ = 60°, and θ = 80°.http://www.enotes.com/homework-help/please-anyone-help-ive-been-trying-2-days-already-474909#6February 26, 2015, 1:23 am PSThow do u do using properties with rational numbers
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how do u do using properties with rational numbershttp://www.enotes.com/homework-help/how-do-u-do-using-properties-with-rational-numbers-474900#7February 25, 2015, 9:52 pm PSTIt does not matter what value we have for a. We can plug this into the...
http://www.enotes.com/homework-help/solve-equation-by-graphing-y-ax-square-3x-2-474882
It does not matter what value we have for a. We can plug this into the quadratic formula and keep the variable a as part of our answer. `(-b +- sqrt(b^2 - 4ac))/(2a)` where a, b and c are `ax^2 + bx + c` in the case of our problem `y = ax^2 + 3x - 2` `a = a` `b = 3` `c = -2` So we plug those values into our quadratic formula `(-3 +- sqrt(3^2 - 4*a*(-2)))/(2a)` These are our two solutions. One plus, one minus. `x = (-3 + sqrt(9 + 8a))/(2a)`...http://www.enotes.com/homework-help/solve-equation-by-graphing-y-ax-square-3x-2-474882Wed, 25 Feb 2015 18:10:18 PST