18. Find the foci of the hyperbola. -号=1 * = 46 O (0, 7), (0, – 7) O (9, 0), (–9, 0) O (0, 9), (0, – 9) - O (7, 0), (–7, 0)

Q: - Calculate 64x²+16y² dx dy, where D is the interior of the ellipse ()² + (½)² ≤ 1. (Use symbolic…

A: Given,           where D is the interior of the ellipse

Q: ¤1 + ag – r3 = 0, -2r1 – 12 + 5r3 = 0, -#1 + 4.x3 = 0 find the Rank(A), where 1 1. -1 A = -2 -1 -1…

A:

Q: y = 6-x? (x, y) What is the area of the largest rectangle that has its base on the x-axis and its…

A: The area of the rectangle is l ×w so find the area and differentiate is one time and find the…

Q: Graph the conic section 2x² - 12x - y² + 6y+26=0 by completing the square.

A: The given equation is .The aim is to sketch the graph of the conic section.

Q: 2) Foci: (2, –5 + V61), (2, –5 – V61) 20 5 Asymptotes: y ==x- 6 3 y-- 5 10 ソ=ーーX 6 3

A:

Q: A natural cubic spline is defined by Sa,(x-1)' +b,(x-1)² +c, (x - 1) + d, S(x) =- if 0sxs1 (x- 1)' +…

A: Step:-1 Since, we know for cubic spline S(x)=S0x=a0x3+b0x2+c0x3+d0…

Q: 5) Find the unique quadratic curve (i.e. parabola) which passes through the following three points:…

A: We have to find the unique quadratic curve which passes through the following points:…

Q: The vertex of the parabola f(z) = + 6z + 7 is O (-3,-2) O (-6,-18) O (-6, -2) O (-3,5) O (-9,-2)

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Q5 Is it possible to construct a sphere that pass through the following points? (a) {(0,1, 2, ),…

A:

Q: Find the center of 8x 2 + 6y 2 - 32x + 24y + 8 = 0. (2, 2) (-2, 2) (2, -2)

A:

Q: Select a possible equation for a parabola with a vertex of (-1,3). Oy = (z + 1) (x – 3) | Oy = (z -…

A:

Q: 3. Find the vertices of the hyperbola. *-=1 3D1 25 64 O (0, 8), (0, – 8) - O (5, 0), (-5, 0) O (8,…

A: Hyperbola: A hyperbola is the set of all points  (x,y) in a plane such that the difference of the…

Q: Which of the following points is at a distance of 5V2 from the origin. * O (0,0) O (5,0) O (5,5) O…

A:

Q: J T 1 T 1 I 1 1 1 1 10 I 9 8 7++ 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 F-14 T6I5 43 J 414- +4 177 ¹2 Y +7 NS…

A:

Q: Q15: A quadratic form is given by; 5x² - 2xy + 5y² = 24. Identify the conic section and illustrate…

A:

Q: ()- ()-, Write the equation of the hyperbola in standard form y - k = 1 a 9. 3+ 2 -12 -11 -10 -9 -8…

A: In the question it is asked to calculate the equation of hyperbola for the following graph given:

Q: x+3 Evaluate: S dx 5-4x-x A. -V5 – 4x – x² + arcsin+ C x+2 B. -V5 – 4x – x² +arcsec+C 3 C. -V5 - 4x…

A:

Q: K Find the asymptotes of the hyperbola. 4x+6y-21=0 2 x² - y² + OA. y-2=(x + 3) and y-2=- (x+3) OB. y…

A:

Q: 7. Find an equation in the standard form of the parabola passing through the points. x -1, 1, 2…

A: consider the equation of parabola is y=ax2+bx+c

Q: x2 8. 36 y2 3D1 4 ニ 「て

A: This question can be solved using the concepts of standard equation of hyperbola.

Q: What is the center of the following hyperbola? (x-3)² (x + 2)² 4 A B с D (3,-2) = 1 (-3,2) (7,2)…

A:

Q: 10 - Which one is the highest order Lagrange polynomial of the grids below? Xị Yi -2 3 1 -1 x2—9х-8…

A: We have to solve given problem:

Q: a The graph of r is an ellipse. Find the center. V5-cos0 (aV5 4 O (av5 (**). av5 4

A:

Q: Q5: Find the coordinates of vertices of the hyperbola x² – 4y2 – 4x – 8y – 4 = 0 - - (-1,4),(-1,0)…

A: We have to find vertices of hyperbola.

Q: Find the foci of the following hyperbola: (x − ¹)² – (v − 1)² = 1 9

A: (x−1)24−(y−1)29=1

Q: est to the point 2, 2

A:

Q: 2. Where do the asymptotes intersect for the hyperbola y = -3 / (x + 2 ) -6 %3D O (-18, 6 ) O(-3/2,…

A: A rational function will have a vertical asymptote where the denominator of the rational function is…

Q: The Foci of the hyperbola y = 5±(x² -18)0.5 are Select one: 0(-6,5) and (6,5) O(0,11) and (0,-1) 0(…

A: Given: The equation of hyperbola as y=5±x2-180.5, To find: The foci of the hyperbola.

Q: 1. Which is the standard form of the parabola y =-}(x+1)² + 5 O y=D -a2 - 긍 + 5.5 O y = -a² + x+ 5.5…

A:

Q: Find an equation of the hyperbola shown below centered at the origin. 3 (-15.0) (-12, 0) (0.9)…

A: We have to find equation of hyperbola using given data. Concept required: Equation of hyperbola…

Q: 25x2 - 9y² = 225 %3D

A: Given equation is 25x2-9y2=225. The above equation can be written as follows.…