{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Exam 1 Fall 2011

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

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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. ...
View Full Document

{[ snackBarMessage ]}