Problem 1RE: How are the graphs of these ellipses similar and how are they different? x2100+y2225=1... Problem 2RE: For Exercises 2-5, an equation of an ellipse is given. a. Identify the center. b. Identify the... Problem 3RE: For Exercises 2-5, an equation of an ellipse is given. a. Identify the center. b. Identify the... Problem 4RE: For Exercises 2-5, an equation of an ellipse is given. a. Identify the center. b. Identify the... Problem 5RE: For Exercises 2-5, an equation of an ellipse is given. a. Identify the center. b. Identify the... Problem 6RE: For Exercises 6-7, a. Write the equation of the ellipse in standard form. b. Identify the center,... Problem 7RE: For Exercises 6-7, a. Write the equation of the ellipse in standard form. b. Identify the center,... Problem 8RE: For Exercises 8-10, write the standard form of an equation of the ellipse subject to the given... Problem 9RE Problem 10RE: For Exercises 8-10, write the standard form of an equation of the ellipse subject to the given... Problem 12RE: Jupiter orbits the Sun in an elliptical path with the Sun at one focus. At perihelion, Jupiter is... Problem 13RE: A bridge over a gorge is supported by an arch in the shape of a semiellipse. The length of the... Problem 14RE Problem 15RE: For Exercises 15-16, an equation of a hyperbola is given. Determine whether the transverse axis is... Problem 16RE: For Exercises 15-16, an equation of a hyperbola is given. Determine whether the transverse axis is... Problem 17RE: For Exercises 17-20, an equation of a hyperbola is given. a. Identify the center. b. Identify the... Problem 18RE: For Exercises 17-20, an equation of a hyperbola is given. a. Identify the center. b. Identify the... Problem 19RE: For Exercises 17-20, an equation of a hyperbola is given. a. Identify the center. b. Identify the... Problem 20RE: For Exercises 17-20, an equation of a hyperbola is given. a. Identify the center. b. Identify the... Problem 21RE: For Exercises 21-22, a. Write the equation of the hyperbola in standard form. b. Identify the... Problem 22RE: For Exercises 21-22, a. Write the equation of the hyperbola in standard form. b. Identify the... Problem 23RE: For Exercises 23-25, write the standard form of an equation of a hyperbola subject to the given... Problem 24RE: For Exercises 23-25, write the standard form of an equation of a hyperbola subject to the given... Problem 25RE: For Exercises 23-25, write the standard form of an equation of a hyperbola subject to the given... Problem 26RE: Suppose that one hyperbola has an eccentricity of 4140 and a second hyperbola has an eccentricity of... Problem 27RE: Solve the system of equations. 6x22y2=122x2+y2=11 Problem 28RE: Suppose that two people standing 2mi10,560ft apart at points A and B hear a car backfire. The time... Problem 29RE: A 120-ft flight control tower in the shape of a hyperboloid has hyperbolic cross sections... Problem 30RE: For Exercises 30-33, an equation of a parabola is given in standard form. a. Determine the value of... Problem 31RE: For Exercises 30-33, an equation of a parabola is given in standard form. a. Determine the value of... Problem 32RE: For Exercises 30-33, an equation of a parabola is given in standard form. a. Determine the value of... Problem 33RE Problem 34RE Problem 35RE: For Exercises 34-35, an equation of a parabola is given. a. Write the equation of the parabola in... Problem 36RE: For Exercises 36-37, fill in the blank. Let p represent the focal length (distance between the... Problem 37RE: For Exercises 36-37, fill in the blank. Let p represent the focal length (distance between the... Problem 38RE: For Exercises 38-40, determine the standard form of the parabola subject to the given conditions.... Problem 39RE: For Exercises 38-40, determine the standard form of the parabola subject to the given conditions.... Problem 40RE Problem 41RE: Solve the system of equations. y+22=3x5xy=7 Problem 42RE Problem 43RE: Two large airship hangars were built in Orly, France, in the early 1900s but were destroyed in World... Problem 44RE Problem 45RE: For Exercises 44-45, the given equation represents a conic section (nondegenerative case). Identify... Problem 46RE Problem 47RE Problem 48RE: For Exercises 46-48, assume that the x- and y-axes are rotated through angle about the origin to... Problem 49RE: For Exercises 49-51, an equation of a conic section (nondegenerative case) is given. a. Identify the... Problem 50RE Problem 51RE Problem 52RE: For Exercises 52-53, the equation represents a conic section (nondegenerative case). a. Identify the... Problem 53RE Problem 54RE Problem 55RE Problem 56RE: For Exercises 54-59, a. Identify the type of conic represented by the equation. b. Give the... Problem 57RE: For Exercises 54-59, a. Identify the type of conic represented by the equation. b. Give the... Problem 58RE Problem 59RE Problem 60RE Problem 61RE Problem 62RE Problem 63RE Problem 64RE Problem 65RE: x=4t2 and y=2t for 2t2 Sketch the plane curve by plotting points. Indicate the orientation of the... Problem 66RE Problem 67RE Problem 68RE Problem 69RE Problem 70RE Problem 71RE: For each given curve, the parameter t represents the time over which an object traverses the curve.... Problem 72RE Problem 73RE: Suppose that the origin on a computer screen is at the lower left comer of the screen. A target... Problem 74RE: A stunt man drives a car at a speed of 25m/sec off a 10-m cliff. The road leading to the edge of the... Problem 75RE: Suppose that a baseball is thrown at an angle of 30 with an initial speed of 88ft/sec from an... Problem 1T: How are the graphs of these ellipses similar, and how are they different? x236+y2144=1x2144+y236=1 Problem 2T Problem 3T: Write the standard form of an equation of an ellipse with center h,k and major axis horizontal. Problem 4T Problem 5T Problem 6T Problem 7T: Write the standard form of an equation of a parabola with vertex h,k and vertical axis of symmetry. Problem 8T: Write the standard form of an equation of a parabola with vertex h,k and horizontal axis of... Problem 9T: For Exercises 9-16, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a... Problem 10T: For Exercises 9-16, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a... Problem 11T: For Exercises 9-16, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a... Problem 12T: For Exercises 9-16, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a... Problem 13T: For Exercises 9-16, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a... Problem 14T: For Exercises 9-16, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a... Problem 15T Problem 16T: For Exercises 9-16, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a... Problem 17T: The entrance to a tunnel is in the shape of a semiellipse over a 24-ft by 8-ft rectangular opening.... Problem 18T Problem 19T: Suppose that two people standing 1.5mi7920ft apart at points A and B hear a car accident. The time... Problem 20T Problem 21T Problem 22T Problem 23T: Write the standard form of an equation of an ellipse with vertices 2,3 and 6,3 and foci 3,3 and 5,3... Problem 24T: Write the standard form of an equation of a hyperbola with vertices 4,1 and 4,7 and foci 4,3 and 4,9... Problem 25T Problem 26T: If the major axis of an ellipse is 26 units in length and the minor axis is 10 units in length,... Problem 27T Problem 28T Problem 29T: If the asymptotes of a hyperbola are y=35x+1 and y=35x+1 , identify the center of the hyperbola. Problem 30T: Solve the system of equations. 3x24y2=135x2+2y2=13 Problem 31T: Describe the graph of the equation. x=41y29 Problem 32T Problem 33T Problem 34T Problem 35T Problem 36T: For Exercises 36-37, an equation of a conic (nondegenerative case) is given. a. Identify the type of... Problem 37T Problem 38T Problem 39T Problem 40T Problem 41T: For Exercises 41-42, a. Eliminate the parameter. b. Sketch the curve and show the orientation of the... Problem 42T: For Exercises 41-42, a. Eliminate the parameter. b. Sketch the curve and show the orientation of the... Problem 43T Problem 44T: A pyrotechnic rocket is fired from a platform 2ft high at an angle of 60 from the horizontal with an... Problem 45T Problem 46T Problem 47T: Use the parametric mode to graph the curve on a graphing utility. x=sin4t and y=3cost,0t2 Problem 1CRE Problem 2CRE: Is 4 a zero of the polynomial fx=3x46x3+5x12? Problem 3CRE Problem 4CRE Problem 5CRE: For Exercises 4-5, simplify completely. 2x2y1z344x5y22 Problem 6CRE: Find the midpoint of the line segment with endpoints 362,147 and 118,24. Problem 7CRE: Given fx=x73, write an equation defining f1x. Problem 8CRE Problem 9CRE: Determine the asymptotes of the graph of y=csc2x2 Problem 10CRE: For Exercises 10-15, solve the equation or inequality. Write the solution set to the inequalities in... Problem 11CRE: For Exercises 10-15, solve the equation or inequality. Write the solution set to the inequalities in... Problem 12CRE: For Exercises 10-15, solve the equation or inequality. Write the solution set to the inequalities in... Problem 13CRE Problem 14CRE: For Exercises 10-15, solve the equation or inequality. Write the solution set to the inequalities in... Problem 15CRE: For Exercises 10-15, solve the equation or inequality. Write the solution set to the inequalities in... Problem 16CRE Problem 17CRE: Graph y=2sinx4 over one completed period. Problem 18CRE Problem 19CRE Problem 20CRE Problem 21CRE Problem 22CRE Problem 23CRE: For Exercises 21-24, graph the equations and functions. x2=4y2 Problem 24CRE: For Exercises 21-24, graph the equations and functions. fx=12x+2 Problem 25CRE: For Exercises 25-26, solve the system. 3x4y+2z=55y3z=127x+2z=1 Problem 26CRE: For Exercises 25-26, solve the system. x25y2=44x2+y2=37 Problem 27CRE: For Exercises 27-29, refer to the matrices A and B . Simplify each expression A=2416B=3804 2AB Problem 28CRE: For Exercises 27-29, refer to the matrices A and B . Simplify each expression A=2416B=3804 A1 Problem 29CRE: For Exercises 27-29, refer to the matrices A and B . Simplify each expression A=2416B=3804 B Problem 30CRE: Use Cramer's rule to solve for z . 3x4y+z=32x+3y=85y+8z=11 format_list_bulleted
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