Glad to hear, thank you. Jupeb classes are solved on my new channel Check out Jupeb past questions and answers here: ruclips.net/p/PLQshUEeoBqw1ZJJTBS6Mt4T-murm8K4gF&si=2jfiioZ1G8fdJwb1 Also send a DM to 09032558166 to be added to my Jupeb group
Please do for me these questions 1. Find the equation of the parabola through the points (2, 1), (5, −2), and (10, 3), the axis being parallel to the 𝑥 −axis. 2. Find the equation of the tangent line having the slope 2 to the parabola 𝑦2 = 16𝑥. 3. Find the points on the parabola 𝑦2 = −24𝑥 which are 9 units from its vertex. 4. Consider the equation of the ellipse 4𝑥2 + 𝑦2 − 8𝑥 + 4𝑦 + 4 = 0. Then determine centre, foci, and vertices of the major and minor axes. 5. Some buildings, called whispering chambers, are designed with elliptical domes so that a person whispering at one focus can easily be heard by someone standing at the other focus. This occurs because of the acoustic properties of an ellipse. When a sound wave originates at one focus of a whispering chamber, the sound wave will be reflected off the elliptical dome and back to the other focus. Suppose a whisper chamber at the Museum of Science in Addis Ababa is 12m long and 8m wide. a) What is the standard form of the equation of the ellipse representing the room? Hint: assume a horizontal ellipse, and let the centre of the room be the point (0, 0). b) If two people are standing at the foci of this room and can hear each other whisper, how far apart are the people? 6. Find the equation of the ellipse, if major axis on the 𝑥 𝑎𝑥𝑖𝑠 and passes through the point (4, 3) and (6, 2). 7. Given the equations of hyperbola 9𝑥2 − 16𝑦2 + 36𝑥 + 32𝑦 − 124 = 0. Then find coordinates of the foci, the vertices, the eccentricity and the length of the latus rectum of the hyperbola. 8. Find the equation of the hyperbola if the distance between the foci of a hyperbola is 16 and its eccentricity is √2 . 9. Find the equation of the hyperbola that passes through the four points (5, 2), (−3, −1), (−3, 1), (−2, √22). 10. Consider a general second degree equation 14𝑥2 − 4𝑥𝑦 + 11𝑦2 − 44𝑥 − 58𝑦 + 71 = 0. Use rotation of axes to eliminate the 𝑥𝑦 and describe the type of conic section.
![Why you didn't learn tetration in school[Tetration]](/img/1.gif)
How wonderful it is to learn from a fellow Nigerian
The clarity in speech is a gift treasured
Thank you so much.
You are a beacon of hope to a lot of students like me out there that academic excellence can be attained with the right resources
Oh Yes, thank you 👍
Detailed explanation for better retainability
Yes sure.
RUclips's best tutor❤🎉
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I can attest to the fact that 90% of the maths I learn wasn't in class but through ur videos
Simplified terminologies, a great strategy for conveying messages to Nigerians
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I'm writing my mth112 exams on the 20th of March
I just keep looping through your videos for clarity
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Excellence academy to the world❤🎉
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Keep up the good work Emmanuel Jonah🦋🤭
I would love to learn how all these maths apply to my field of study
I really do wish you know because learning it from you would make it easy peasy
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I wish my lecturer could see you teach and know why his students fail mth112😢
Well.... Great to have you here
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Worth listening to
Excellence academy✨
This is great! Would really appreciate if you could solve some jupeb problems as well
Glad to hear, thank you.
Jupeb classes are solved on my new channel
Check out Jupeb past questions and answers here:
ruclips.net/p/PLQshUEeoBqw1ZJJTBS6Mt4T-murm8K4gF&si=2jfiioZ1G8fdJwb1
Also send a DM to 09032558166 to be added to my Jupeb group
@@jonahemmanuelofficial thank you sir!
@@Jibrilamira always welcomed. Do well to subscribe to the new channel ok?
World class tutor
Niceee video
Thank you
Thank you sir ❤
Please do for me these questions
1. Find the equation of the parabola through the points (2, 1), (5, −2), and (10, 3), the axis
being parallel to the 𝑥 −axis.
2. Find the equation of the tangent line having the slope 2 to the parabola 𝑦2 = 16𝑥.
3. Find the points on the parabola 𝑦2 = −24𝑥 which are 9 units from its vertex.
4. Consider the equation of the ellipse 4𝑥2 + 𝑦2 − 8𝑥 + 4𝑦 + 4 = 0. Then determine centre,
foci, and vertices of the major and minor axes.
5. Some buildings, called whispering chambers, are designed with elliptical domes so that a
person whispering at one focus can easily be heard by someone standing at the other focus.
This occurs because of the acoustic properties of an ellipse. When a sound wave originates
at one focus of a whispering chamber, the sound wave will be reflected off the elliptical
dome and back to the other focus. Suppose a whisper chamber at the Museum of Science
in Addis Ababa is 12m long and 8m wide.
a) What is the standard form of the equation of the ellipse representing the room?
Hint: assume a horizontal ellipse, and let the centre of the room be the point (0, 0).
b) If two people are standing at the foci of this room and can hear each other whisper,
how far apart are the people?
6. Find the equation of the ellipse, if major axis on the 𝑥 𝑎𝑥𝑖𝑠 and passes through the point
(4, 3) and (6, 2).
7. Given the equations of hyperbola 9𝑥2 − 16𝑦2 + 36𝑥 + 32𝑦 − 124 = 0. Then find
coordinates of the foci, the vertices, the eccentricity and the length of the latus rectum of
the hyperbola.
8. Find the equation of the hyperbola if the distance between the foci of a hyperbola is 16 and
its eccentricity is √2 .
9. Find the equation of the hyperbola that passes through the four points (5, 2), (−3, −1),
(−3, 1), (−2, √22).
10. Consider a general second degree equation 14𝑥2 − 4𝑥𝑦 + 11𝑦2 − 44𝑥 − 58𝑦 + 71 = 0.
Use rotation of axes to eliminate the 𝑥𝑦 and describe the type of conic section.
Thanks Jonah♥️
Revamping a lot here sir
Sir! Don't stop uploading classes
Okk
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One word? Great
Thank you 😌
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