Exam 1 Fall 2011

Exam 1 Fall 2011 - Math 2123.2 a Fall 2011 — Exam 1 To...

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Unformatted text preview: Math 2123.2 a Fall 2011 — Exam 1 To receive credit, you must show your work. In all graphs, the marks on the axes are one unit apart 1. [15 points] Plot the points (3,1) and (~1, —3) on the Cartesian coordinate system shown below. Also determine the distance between these points. 1/ “more i r ‘ 2F % i 7, _WV 7 E g i i E ~ SE" +M§w K / t , \b 2 x ,_ if S , E / ' i ‘ 5 : ' f v’ \/ «é 2. The figure below Shows a line in a Cartesian coordinate system. Answer the following questions about the line. (a) [5 points] What is the slope of the line? (b) [5 points] What is the y—intercept of the line? (c) [5 points] What is the equation of the line in slope—intercept form? r \2 i a m «\ a g ,, .7 3i. = Na K; A rm 7 ~ 3. A circle has center at (—2, —3) and passes through the point (~1, 5). (a) [10 points] Write the equation of the circle in standard form. (b) [5 points] Does the point (27 4) lie on this circle? Why or why not? on lcl lsv‘é 4. Consider the circle with equation 2 2 :1: +3; —2$+6y+1=0 (a) 8 points] Find the center of the Circle. (b) [7 points] Find the radius of the circle. (c) [5 points] Sketch the circle on the Cartesian coordinate system shown below. “i x U a x » x ( 39 ligvj (J (‘A - \X H‘- l\ 6‘3 - \ _ H (J \i l C+(O ’“ — « ~ 2% w v’ u l l T \J V l a > \ A. l‘ \ 5 l:( 4 e r .4 a, m i ‘x y 1 ‘ x: » i b i L \l h if}? 'r' 3 >17 'll/jl 3 f 'L ' WWWMWMW ittki_ ,3? 1 a; 1;“ ‘3 w 5*“ , gt H: ’ l ,r M r gr , E V)“: \ , J m Vii; \.<,\/(J 5 3 E w x ‘ -’ 0E ‘ ( fig») “499A: 1 fir \fv \ v\ / , I _ ’fvf 5. [15 points] Find the equation of the line that passes through the point (2,0) and is perpendicular to the line y : $513 — 1. 6. Consider the ellipse with equation 1:2 + 43/2 : 16. (a) [5 points] Find the length of the seminiinor axis of the ellipse. ( b) [5 points] Find the vertiees of the ellipse. (C) [5 points] Find the foci of the ellipse. (d) [5 points] Sketch the ellipse, the vertiees, and the foci 0n the Cartesian coordinate system below. if k i Spa“ . fl i “J ":2 :‘ V/ x“ y n \\ 5 I b / fl _ v n m a i “\jp‘ ‘ " -7 (Eh) Odv/ fl 9",“ V / f. 3r E q, 9% g’ s Jj‘é ““ W", « ‘ E. ...
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This note was uploaded on 01/22/2012 for the course MATH 2123 taught by Professor Staff during the Fall '08 term at Oklahoma State.

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Exam 1 Fall 2011 - Math 2123.2 a Fall 2011 — Exam 1 To...

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