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From a point P, two tangents PA are drawn to a circle with center O.If OP=diameter of the circle show that triangle APB is equilateral. Ans: PA=PB (length of tangents
1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc
Calculate the slope of the line: Example: calculate the slope of the line whose equation is y = 2x + 3 and whose y-intercept is (0,3). Solution: y =
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
cosx
Differentiate following. Solution : It requires the product rule & each derivative in the product rule will need a chain rule application as well. T ′ ( x ) =1/1+(2x) 2
Safe deposit boxes are rented at the bank. The dimensions of a box are (22x5x5) in. Determine the volume of the box? a. 220 in 3 b. 550 in 3 c. 490 in 3 d. 360 in 3
y=log4(x). i am unsure what this graph is supposed to look like?
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Before going to solving differential equations we must see one more function. Without Laplace transforms this would be much more hard to solve differential equations which involve
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