Calculus

Questions:

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Unit 4: Hyperbolas 4.1 Definition and Equation of a Hyp... Question 9/10 Arrange the following hyperbolas in increasing focal distance. Rearrange the items into the correct order. Drag unnecessary answers into the provided box. Drag unnecessary answers here Rearrange the items into the correct order (x - 1)2 (y + 2) 2 = 1 16 25 25x2 - 4y? - 50x + 16y - 391 = 0 = 1 9 25x2 - 144y? = 3 600Unit 4: Hyperbolas 4.1 Definition and Equation of a Hyp... Question 6/10 Determine whether each of the following equations represents a hyperbola or not. Select the correct category for each item. Category hyperbola not a hyperbola y2 = 1 25 Choose your answer y + 2 = 1 4 1 Choose your answer 5:12 - 4y2 - 8y - 24 = 0 Choose your answer 2x2 + 3y2 - 10x + 6y - 5 = 0 Choose your answera U I III 1.. H p t I L: u] :1 E. 4.1 Definition and Equation of a Hyp... Question 7110 Classir the following equations according to the kind of conic section. SeIect the correct category for each item. Category circle parabola ellipse hyperbole 332+4y2+12:n13y+1=0 \\ Choose your answer v $2+y2-4:v+6y1 =0 | Choose your answer ' 324y24m+6y+20=0 Choose your answer ' 2y2+63+8y1=0 Choose your answer v I Unit 4: Hyperbolas 4.1 Definition and Equation of a Hyp... Question 3/10 Find the equation of a hyperbola with center at the origin, whose transverse axis is on the -axis and is 22 units long, and whose conjugate axis is 14 units long. Select your answer. = 1 49 121 2:2 = 1 49 121 y2 = 1 121 49 2:2 = 1 121 49Unit 4: Hyperbolas 4.1 Definition and Equation of a Hyp... Question 5/10 What is the general form of equation of a hyperbola whose center is at (2, 2) if a = 9, b = 6, and the transverse axis is horizontal? Select your answer. 4x2 - 9y? - 16x + 36y - 344 = 0 9y? + 4y? - 16y - 32x - 344 = 0 9y2 - 4y? - 16y + 32x - 344 = 0 4x2 + 9y2 - 16x + 36y - 344 = 0Unit 4: Hyperbolas 4.1 Definition and Equation of a Hyp... Question 8/10 Is 3.2 - 2y2 - 12x + 4y + 10 = 0 an equation of a hyperbola? Why or why not? Select your answer. No, because the coefficients of a and y? must have the same sign for it to be a hyperbola. Yes, because it follows the general form of a hyperbola, which is Ax2 + Cy2 + Dx + Ey + F=0 No, because when the equation is transformed into its standard form, the right-hand side of the equation is zero and not 1. Yes, because the coefficients of a and y? are not equal.E Unit 4: Hyperbolas 4.1 Definition and Equation of a Hyp... Question 4/10 Find the equation of a hyperbola with center at (3, -1) if the transverse axis is horizontal, the focal distance is 20 units, and the transverse axis is 16 units long. Select your answer. (x + 3)2 (y - 1)2 = 1 400 256 (x - 3)2 (y + 1)2 = 1 64 336 (a + 3)2 (y + 1)2 = 1 64 36 (z - 3)2 (y + 1)2 = 1 100 64Unit 4: Hyperbolas 4.1 Definition and Equation of a Hyp... Question 2/10 Determine the focal distance of a hyperbola if the length of the transverse and conjugate axes are 30 units and 16 units, respectively. Select your answer. 8 17 34 15Question 10m Which of the following best describes the following equations: 432y2162 Dandy2 -4a:2 -- 16 = 0 Select your answer. The equation 43:2 y2 16 = 0 represents a hyperbole, while 1,;2 - 4a:2 - 16 = 0 represents a parabola. whose center is at the origin. The hyperbole represented by 4:32 y? 16 = 0 has a horizontal transverse axis, while that of 3,;2 4:11:2 16 = 0 has a vertical transverse axis. Both equations are that of a hyperbola whose center is not at the origin. Both 422312 16=0and y2 4:3:2 16 = O has a vertical transverse axis. 1 Both equations represent a hyperbole The equations do not represent hyperbolas