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Evaluate following limits. Solution Let's begin with the right-hand limit. For this limit we have, x > 4 ⇒ 4 - x 3 = 0 also, 4 - x → 0 as x → 4
why 0 is put in quotient while dividing a number
One integer is two more than another. The sum of the lesser integer and double the greater is 7. What is the greater integer? Let x = the greater integer and y = the lesser int
Q. Addition Involving Negative Numbers? Ans. When you add together positive and negative numbers, there are essentially three possibilities that you can encounter. Let's e
from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 )dx = sqrt(1-x 2 )∫dx - ∫{(-2x)/2sqrt(1-x 2 )}∫dx ---->(INTEGRATION BY PARTS) = x√(1-x 2 ) - ∫-x 2 /√(1-x 2 ) Let
Unit circle: The unit circle is one of the most valuable tools to come out in trig. Unluckily, most people don't study it as well. Below is the unit circle with just the first
In triangle ABC if angle B = 90 degrees what is the value Tan A/2 in terms of its sided? Solution) tanA=c/b let tan(A/2)=x 2x/(1-x 2 )=c/b,solve for x
what is a liter
1. Using given data set (Assignment_1data in the folder) a) Make scatterplot between "Years since first marriage" and "Total children ever born" b) Make scatterplot between
A motor boat takes Six hours to cover 100 km downstream and 30 km upstream. If the motor boat goes 75 km downstream and returns back to its starting point in 8 hours, find the sp
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