Next Question In the figure, the equation of the solid parabola is y=x² -2 and the equation of the dashed line is y =x. Determine the area of the shaded region.

Q: ...***... .. . .. The area of an ellipse with axes of length 2a and 2b is nab. The percent change in…

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

Q: b) Consider now the portion of the parabola which is below the line y = 2. Which points have the…

A:

Q: In the graph to the right, the equation of the parabola is x = region. (y-4)² and the equation of…

A:

Q: Find a parametrisation of the hyperbola that is obtained by translating the hyperbola with equation…

A: Here we need to find the effect of translation on parametric equation of hyprabola.

Q: 5. Which equation represents the parabola with focus (1, 4) and latus rectum of 4? O y = (# – 1)2 +…

A: y= (1/4) *(x-1)^2 +3

Q: Find the equation of tangent lines to the ellipse parallel to the line y =3. The equation of ellipse…

A:

Q: 2. Which equation represents the parabola with focus (1, 4) and latus rectum of 4? Oy = 4(a- 1)2 + 3…

A: Here, the parabola is of the form (x-h)2=4a(y-k) Whose focus is given by (h,k+a)=(1,4) given…

Q: Find an equation of the hyperbola that has foci at (0, -15) and (0, 15), and asymptotes y= 3 3 2x…

A:

Q: Find an equation of the hyperbola that has foci at (-15, 0) and (15, 0), and asymptotes y= x and y=

A:

Q: 57. Use a change of variables to prove that the area of the ellipse with equation (-) + ) : -1 is…

A: Explanation: Given that, the standard equation of the ellipse is: x2a2+y2b2=1 Solve for…

Q: he area of an ellipse with axes of length 2a and 2b is nab. The percent change in the area when a…

A: We have to find percent change in the area after increasing major axis and minor axis.

Q: Mr. Yang's rugby team is facing the fighting bees next week. For the equation (x^2/a^2)+(y^2/b^2)=1…

A:

Q: Find the value of Y for the hyperbola defined by the equation y² – x² = 7 at the point (3, 4). dx2

A: The equation is y2-x2=7. First find the value of dydx as follows.…

Q: The hyperbola in Position I opening up opening down in Position II y² x² 4 16 1 is

A: Topic :- geometry

Q: Find the equation of the parabola with directrix x+1=0 , axis y=1 and the length of the latus rectum…

A:

Q: In the figure to the right, the equation of the parabola is y=x-20 and the equation of the dashed…

A: Here first we find the points of intersection and then use the formula  area bounded A=∫abyupper…

Q: 2 Write the equation of the hyperbola – 25 · x? + 16 · y² = 400 in standard form + = 1 %3D

A:

Q: Given the equation of a hyperbola, what are the x and y-intercepts? x-/9 - y/16 = 1 O x-int: 3,…

A: Given equation of hyperbola is      x²/9 - y²/16 = 1

Q: In the figure, the equation of the solid parabola is y=x² - 7 and the equation of the dashed line is…

A:

Q: What is the directrix of the parabola? (x – 4)? = 8 (y + 3) O x = -3 O y = -3 y = -5 x = -5

A:

Q: nd an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given query is to find the equation of parabola.

Q: Find the evolute of the parabola y=x2.

A:

Q: Given hyperbola   x2   −   y2   = 1   9         16       how do you determine the focal length?

A:

Q: .... .. ......... ....*.*. ..* * ..... The area of an ellipse with axes of length 2a and 2b is nab.…

A: As per our guidelines , we can only solve first question. Please resubmit other questions as next…

Q: In the figure to the right, the equation of the solid parabola is y=x² – 14 and the equation of the…

A:

Q: Find an equation of the hyperbola that has foci at (-2, 0) and (2, 0), and asymptotes y = x and…

A: The hyperbola has foci at -2,0 and 2,0 and asymptotes y=x and y=-x

Q: As viewed from above, a swimming pool has the shape of the ellipse x^2/4900+y^2/2500=1 where x and y…

A: To determine the volume of the three dimensional region R , defined by the pool

Q: What is the equation of the parabola with vertex at (0,0) and focus (0, –4) in standard form?…

A: see below the calculation

Q: The area of an ellipse with axes of length 2a and 2b is A-πab. Approximate the percent change in the…

A: It is given that, the area of the ellipse with axes length 2a and 2b is

Q: Consider the diagram below in a two dimensional Cartesian x-y plane. The parabola is given by the…

A: we will use symmetry of given figure about y-axis and condition of quadratic equation to find…

Q: In the figure, the equation of the solid parabola is y=x²-4 and the equation of the dashed line is y…

A:

Q: The figure below shows a lamp located three units to the right of the y-axis and a shadow created by…

A: Here we need to calculate equation of tangent line on given ellipse which passes through (-5,0)  If…

Q: What is the area of the ellipse x² 16 + y² 9 = 1?

A:

Q: The value of y dæ – x dy where C is the portion of the parabola y = x² – 1 from (0, –1) to (-2, 3)…

A:

Q: In the graph to the right, the equation of the parabola is x= and the equation of the line is y = 9-…

A:

Q: 2. Find the equation of the parabola with focus (2, 0) and directrix x = -2. а. b. x' = 8y c. y = 8x…

A: Since you have asked multiple questions according to our company guidelines we are supposed to…

Q: An equation of a parabola is given. x+1/3 y^2=0 find the focal diameter?

A: solution

Q: The figure shows a lamp located three units to the right of the y-axis and a shadow created by the…

A: Given, the below figure :       A lamp is located 3 units to the right of the y-axis and a shadow…

Q: 1 in (r', y')-coordinates, if (iii) Find the equation for the hyperbola ry 0 = 1-

A: Find the equation of hyperbola in x'y' system

Q: What is the equation of the directrix of a parabola having vertex at (4, 3) and focus which is 2…

A:

Q: What is the distance from the y-axis to the focus of the hyperbola whose equation is (y – 1)? –…

A:

Q: What is the standard form of the equation of the parabola with the focus (6, –1) and the directrix I…

A:

Q: If a person shoots a basketball overhand from a position 8 feet above the​ floor, then the path of…

A: The path of the basketball through from the hoop is modeled by the parabola,

Q: In the figure, the equation of the solid parabola is y=x² - 8 and the equation of the dashed line is…

A:

Q: The area of the region below the parabola y = 9- x² and above the x-axis is a. 12 b. 24 с. 36 d. 48…

A:

Q: hat is the shape of the vertical cross section of this solid figure that passes through the vertex?

A: We have to identify the shape of the cross-section.

Q: (x-3)? (y+1)² = 1? 16 25

A:

Q: Find an equation of the hyperbola that has foci at (-10, 0) and (10, 0), and asymptotes y = 7x and…

A:

Q: Find the area enclosed by the ellipse x2  / a 2    +   y2   /b 2    =1

A: Given ellipse is The ellipse meet x-axis at points (-a,0) and (a,0) and y-axis at points (0,-b) and…