Question: 4. Classify the following conic sections. Find its center, vertices, foci, directrix (if possible), asymptotes (if possible). Then, sketch its graph. (a) 9x2 + 4y2

4. Classify the following conic sections. Find its center, vertices, foci,

4. Classify the following conic sections. Find its center, vertices, foci, directrix (if possible), asymptotes (if possible). Then, sketch its graph. (a) 9x2 + 4y2 - 18x + 8y - 23 = 0. (b) y2 - 8x + 2y + 9 =0. (c) 92 - 16y - 36x + 32y - 124 = 0. 5. Find the largest possible domain and the corresponding range of the following functions: (i) f(x) = x2 -9' (ii) g(x) = Vx2 - 4x + 3. 6. Let F(x) = and G(x) =1 - 2 - x (a) Find their largest possible domains and ranges. (b) Find (Go F) (x) and states its largest possible domain

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

please help this questions in center/vertices/foci/directrix/asymptoes and sketch the graph. if not the value, please also write the reason why not exist, thanks and many love 4. Classify the...

. Find the line through (3, 5) which is perpendicular to the line L with equation 33: 2y : 1. . The straight line 430 + 33; = 6 meets the xaxis at the point P and the yaxis at the point Q. Find the...

Classify the following conic sections. Find its center, vertices, foci, directrix ( if possible ) , asymptotes ( if possible ) . Then, sketch its graph. ( a ) 1 6 x 2 + 2 5 y 2 - 1 2 8 x - 1 5 0 y +...

Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. Horizontal axis and passes through the point (-6, 7) Submit Answer 3. [-/6.66 Points]...

1 of 40 2.5 Points The half-life of the radioactive element krypton-91 is 10 seconds. If 16 grams of krypton-91 are initially present, how many grams are present after 10 seconds? 20 seconds? A. 10...

CONTENT DISCUSSIONS Identifying the Conic Section by Inspection The equation of a circle may be written in standard form to megood Ar + Ay' + Ca + Dy 4 E= 0, that is, the coefficients of a2 and yz...

Answer all the activities correctly CONTENT DISCUSSIONS Identifying the Conic Section by Inspection The equation of a circle may be written in standard form to megood Ar + Ay' + Ca + Dy 4 E= 0, that...

The following comparative income statement (in thousands of dollars) for two recent years was adapted from the annual report of Speedway Motorsports, Inc., owner and operator of several major motor...

If e^y(1+x) = 1 then Prove that d^2y/dx^2 = (dy/dx)^2

Blinding Light Co . has a project available with the following cash flows: YearCash Flow 0 $ 3 2 , 6 7 0 1 8 4 2 0 2 1 0 , 1 7 0 3 1 4 , 6 1 0 4 1 6 , 2 1 0 5 1 1 , 2 4 0 What is the project's IRR?...

(a) Consider discrete-time signals x [n] and x [n] respectively given as x [n] = 28[n+ 2] + u[n] - u[n - 2], x [n]u[n 1] - u[n 2] + 28[n - 3]. and (i) (ii) Sketch the waveforms of x [n] and x [n]....

Suppose that the size of a particular in the air follows the following distribution. f (x) = 4bx 3, b 0 a) Calculate the value of b so that f (x) is a probability distribution. b) Calculate the mean...

In your summary page, you should mention the following points about BJTs: · Physical structure of BJT (booth npn and pnp) · Operation of BJT in cut-off, in active mode and in saturation...

What are surplus and shortage in the market?

A pilot performs an causal maneuver by diving vertically at 270 m/s. If he can withstand an acceleration of 8.0 g's without blacking out, at what altitude must he begin to pull his plane out of the...

Create a 200 word summary on the Juvenile Justice System than and today. Describe The Juvenile system and provide a generalizable definition. Highlight the issues in the Juvenile system and why this...

When would one prefer a physical quantities method for allocation?

Risks encountered when extracting and validating transactional data typically include: (a) incomplete data. (b) inaccurate data. (c) neither (a) nor (b). (d) both (a) and (b).

Variance analysis reporting is used to monitor: (a) whether adjusting journal entries were accurate. (b) organisational and/or process performance. (c) compliance with accounting standards. (d)...