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Formulas for the volume of this solid
V = ∫ba A ( x) dx V = ∫dc A ( y ) dy
where, A ( x ) & A ( y ) is the cross-sectional area of the solid. There are several ways to get the cross-sectional area .we will use A ( x )or A ( y ) will based upon the method and the axis of rotation utilized for each of the problem.
Variation of Parameters Notice there the differential equation, y′′ + q (t) y′ + r (t) y = g (t) Suppose that y 1 (t) and y 2 (t) are a fundamental set of solutions for
ABCD is a rectangle. Δ ADE and Δ ABF are two triangles such that ∠E=∠F as shown in the figure. Prove that AD x AF=AE x AB. Ans: Consider Δ ADE and Δ ABF ∠D = ∠B
Fourier series - Partial Differential Equations One more application of series arises in the study of Partial Differential Equations. One of the more generally employed method
Mod(Z-25i) Sol) mod (Z-25i) means Z lies in the circumference of the circle with (0,25) at its centre and radius less then 15. so difference in the max and min value of arg Z is
sketch the curve y=9-x2 stating the coordinates of the turning point and of the intersections with the axes.
how do you multiply fractions
Observe that natural numbers do not have a zero. This shortcoming is made good when we consider the set of whole numbers. The set of whole numbe
In a frequency distribution mode is 7.88, mean is 8.32 find the median. (Ans: 8.17) Ans: Mode = 3 median - 2 mean 7.88 = 3 median - 2 x 8.32 7.88 +16.64 = 3 median
calculate the shortest distance between A and B 40degrees west and 50 degrees east respectively laying along 57 degrees north
understandin rates and unitrates
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