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Find out the length of the parametric curve illustrated by the following parametric equations. x = 3sin (t) y = 3 cos (t) 0 ≤ t ≤ 2? Solution We make out that thi
Each of the series 3+5+7+..... and 4+7+10.......... is continued to 100 terms find how many terms are identical. Ans) 48 terms would be common to both the series... first take co
f Y is a discrete random variable with expected value E[Y ] = µ and if X = a + bY , prove that Var (X) = b2Var (Y ) .
A door height is 6 feet and 6 inches and 36 inches wide. What is the widest piece of sheetrock that will ?t through the door? Round to the nearest inch. a. 114 in b. 86 in
A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i
Simplify the following expression and state the coefficient of each variables (a)6m-4-2m+15 (b)4x+6y-3x+5y
Easy Rider taxi service charges a pick-up fee of $2 and $1.25 for each mile. Luxury Limo taxi service charges a pick-up fee of $3.25 and $1 per mile. How many miles required to be
Convert each of the following points into the specified coordinate system. (a) (-4, 2 Π /3) into Cartesian coordinates. (b) (-1,-1) into polar coordinates. Solution
Derivatives of Inverse Trig Functions : Now, we will look at the derivatives of the inverse trig functions. To derive the derivatives of inverse trig functions we'll required t
Recognizes the absolute extrema & relative extrema for the given function. f ( x ) = x 3 on [-2, 2] Solution :
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