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In the adjoining figure, ABCD is a square of side 6cm. Find the area of the shaded region. Ans: From P draw PQ ⊥ AB AQ = QB = 3cm (Ans: 34.428 sq cm) Join PB
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
Evaluate following. √16 and Solution To evaluate these first we will convert them to exponent form and then evaluate that since we already know how to
Let's start things by searching for a mixing problem. Previously we saw these were back in the first order section. In those problems we had a tank of liquid with several kinds of
Introduction: "Mathematical literacy is an individual's capacity to identify and understand the role that mathematics plays in the world, to make well-founded judgments, and t
Consider the system of linear equations X + ay = 1 2x + 8y = b Where a and b are real numbers. (a) Write out the augmented matrix for this system of linear equations.
The area of a rectangle is 24 square inches. The length of the rectangle is 2 inches more than the width. How many inches is the width? Let x = the number of inches in the widt
Evaluate the following integral. ∫√(x 2 +4x+5) dx Solution: Remind from the Trig Substitution section that to do a trig substitution here we first required to complete t
INTEGRATION OF 1/(1+3 SIN^2 x)
If r per annum is the rate at which the principal A is compounded annually, then at the end of k years, the money due is Q = A (1 + r) k Suppose
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