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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 =
A sphere and a cube have equal surface areas. Show that the ratio of the volume of the sphere to that of the cube is √6 : √π. Ans: S.A. of sphere = S.A of cube 4π r 2
1. A direction ?eld for a differential equation is shown. Draw, with a ruler, the graphs of the Euler approximations to the solution curve that passes through the origin. Use step
1. A point P(a,b) becomes (3,c) after reflection in x - axis, and (d,6) after reflection in the origin. Show that a = 3, b = - 6, c = 6, d = 2 2. If the pair of lines ax² + 2pxy
use the Pythagorean Theorem to find the length of the missing side. Then find the indicated trigonometric function of the given angle. give an exact answer with a rational denomina
What is the slowest a boat can travel across a river if the river is flowing with a velocity field of X^2?
Grouped Data For grouped data of a paired population where, f is the
In the earlier section we introduced the Wronskian to assist us find out whether two solutions were a fundamental set of solutions. Under this section we will look at the other app
Determine the property of Partial ordered relation Question: Partial ordered relation is transitive, reflexive and Answer: antisymmetric
x 4 - 25 There is no greatest common factor here. Though, notice that it is the difference of two perfect squares. x 4 - 25 = ( x 2 ) 2 - (5) 2 Thus, we can employ
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