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Solve : 4x2+2x+3=0 Ans) x^2 + (1/2)x = -(3/4)
(x+1/4)^2 = 1/16 - 3/4 = -11/16 implies x = (-1+i(11)^(1/2))/4 and its conjugate.
if tan theta =1,find the value of sin4 theta + cos4 theta
If tanx+secx=sqr rt 3, 0 Ans) sec 2 x=(√3-tanx) 2 1+tan 2 x=3+tan 2 x-2√3tanx 2√3tanx=2 tanx=1/√3 x=30degree
Brian's 100-yard dash time was 2.68 seconds more than one school record. Brian's time was 13.4 seconds. What is the school record? The school record is less than Brian's time.
Derivatives of Hyperbolic Functions : The last set of functions which we're going to be looking at is the hyperbolic functions. In several physical situations combinations of e
Tests for relative minimum For a relative minimum point there are two tests: i.The first derivative, which is (dy)/(dx) = f´(x) = 0 ii.The second derivative, which i
Definition 1: Given the function f (x ) then 1. f ( x ) is concave up in an interval I if all tangents to the curve on I are below the graph of f ( x ) . 2. f ( x ) is conca
carlie is now fivetimes as old as henry. in nine years her age will be twice henry''s age then. how old is carly now
Any 15 foot ladder is resting against the wall. The bottom is at first 10 feet away from the wall & is being pushed in the direction of the wall at a rate of 1 ft/sec. How rapid is
How to solve Systems of Equations ? There's a simple method that you can use to solve most of the systems of equations you'll encounter in Calculus. It's called the "substitut
If tanA+sinA=m and tanA-sinA=n, show that m 2 -n 2 = 4√mn Ans: TanA + SinA = m TanA - SinA = n. m 2 -n 2 =4√mn . m 2 -n 2 = (TanA + SinA) 2 -(TanA - SinA) 2
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