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Every point (x,y) on the curve y=log2 3x is transferred to a new point by the following translation (x',y')=(x+m,y+n), where m and n are integers. The set of (x',y') form the curve y=log2(12x-96). What is the value of m+n?
If two zeros of the polynomial f(x) = x 4 - 6x 3 - 26x 2 + 138x - 35 are 2 ± √3.Find the other zeros. (Ans:7, -5) Ans : Let the two zeros are 2 +√3 and 2 - √3 Sum of
all perimeter and area
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The perimeter of a rectangle is 104 inches. The width is 6 inches less than 3 times the length. Find out the width of the rectangle. Let l = the length of the rectangle and let
Position Vector There is one presentation of a vector that is unique in some way. The presentation of the ¯v = (a 1 ,a 2 ,a 3 ) that begins at the point A = (0,0,0) and ends
What is a rational number?
1x1
A survey of 400 of recently qualified chartered Accountant revealed that 112 joined industry, 120 stated practice & 160 joined the firms of practicing chartered accountants as paid
We here move to one of the major applications of differential equations both into this class and in general. Modeling is the process of writing a differential equation to explain a
Mike can jog 6.5 miles per hour. At this rate, how many miles will he jog in 30 minutes? Thirty minutes is half an hour. Thus, divide the number of miles Mike can jog in one ho
we have x''''=x+m =>m=x''''-xand y'''' =y+n =>n=y''''-yhence m+n=(x''''+y'''') - (x+y)taking y''''=y=1 we get m+n= x''''-xputting y=1 in y=log2 3x.... we get x=2/3putting y''''=1 in y''''=log2 (12x''''-96)... we get x''''=49/6Hence m+n= x''''-x=49/6 - 2/3 =45/6=15/2hence m+n= 15/2 (ANS).
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