Answer:
0.5
Step-by-step explanation:
Ok, so it's asking for what (1/(x-1) - 2/(x^2-1)) approaches as x approaches 1. Before we deal with the limit, let's simplify the inside.
We want to combine the two fractions into one fraction. Therefore, we need a common denominator.
1/(x-1) is equal to (x+1)/((x+1)(x-1) is equal to (x+1)/(x^2-1).
the inside expression is therefore (x+1)/(x^2-1) - 2/(x^2-1)
which simplifies to (x-1)/(x^2-1).
and that simplifies further to 1/(x+1).
Now this is a continuous function when x = 1, so to find the limit as x approaches 1 of this function, we can by definition just plug 1 in.
limx->1 (1/(x+1)) = 1/2.
The reason why we didn't just plug 1 in at the beginning is because the function wasn't continuous when x was 1.
Answer:
2x
Step-by-step explanation:
18in x 40in Half of 80 is 40, half of 36 is 18
9in x 20in 1/4 of 80 is 20, 1/4 of 36 is 9
Hello,
Let's assume v=the normal bicycling speed with no wind
and t the same amount of time...
60=(v+2)*t (1)
48=(v-2)*t (2)
(1)/(2)==>60/48=(v+2)/(v-2)
==>5(v-2)=4(v+2)
==>5v-4v=8+10
==>v=18 (mi/h)
The required equation is:
Step-by-step explanation:
Let l_1 be the line through (-1, -2) and (5, 3)
and l_2 be the line we require which passes through (3,7)
We have to find the lope of l_1 first
we have to find the equation of line perpendicular to l1
The product of slopes of two perpendicular lines is -1
Let m_2 be the slope of l_2
Then
The general slope-intercept form is:
y=mx+b
Putting the value of slope
To find the value of b, we will put (3,7) in the equation
Putting the values of b and m in standard slope intercept form:
Hence,
The required equation is:
Keywords: Equation of line
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