Analytical Geometry Mathematics & Economics Math Problem (Math Problem Sample)
ANSWER THE QUESTIONS IN THE FILE ATTACHED
source..
BMA 1205 Analytical Geometry C.A.T
Charles Opija
Name of Institution
BMA 1205 ANALYTICAL GEOMETRY CAT
The equation of a parabola x2+4x+ 6y-8=0.Find the vertex and the focus of the parabola. (3mks)
Solution
x2+4x = 6y + 8
(x +2)2 = -6y + 8 +4
(x +2)2 = -6y + 12
(x +2)2 = -6(y - 2)
4p = -6
p = -6/4
p = -3/2 vertex (-2,2) directrix -1.5
i. Find the equations of the tangents to the circle (x-4)2+(y-5)2=20 if the tangent has a slope of 2. (2mks)
solution
gradient of the radius = -1/2
QUOTE = -1/2 x =6 and y = - 4
QUOTE = 2 ; y = 2x -16
ii. Find the equations of the normal to the circle above at the point of tangency. (2mks)
QUOTE = -1/2
A parallelogram MNPQ has vertices M (-7,3) N (2,2) P (4, -2) Q(-5,-1) i. Find the equation of lines NP and PQ ( 2mks)
QUOTE = QUOTE
QUOTE = -2
y-2=-2x+4
NP: y = -2x+6
QUOTE = QUOTE
Other Topics:
- Statistics. It was about answering statistics questions.. Description: You’re going to catch a fish in the river. You know that its size is normally distributed with mean 56 inches and standard deviation 7 inches. What is the probability that you catch a fish over 60 inches?...1 page/≈275 words| No Sources | APA | Mathematics & Economics | Math Problem |
- Z-score Statistics Mathematics & Economics Math Problem Description: Z-score Statistics We reject null hypothesis. This is because the calculated z statistic =38.4214 is greater than z critical two tail =1.95996. Hence fall on rejection region. Thus we conclude, there is statistically difference in student assistantship among the majors....11 pages/≈3025 words| No Sources | APA | Mathematics & Economics | Math Problem |
- WHICH OF THESE i.e., NEWTON RAPHSON METHOD, MULLER METHOD AND CHEBYSHEV METHOD GIVES THE MOS. . .Description: In everyday happenings, calculations are becoming essential. Making proper predictions helps in obtaining the correct solution and conclusion. The variations in the results obtained in calculations dependents on the approximations errors from the right answer....1 page/≈275 words| 4 Sources | APA | Mathematics & Economics | Math Problem |
