Use parametric equations and Simpson's Rule with  n = 8  to estimate the circumference of the ellipse  16x2 + 4y2 = 64.

Q: Find the equation of the line tangent to the ellipse x + 3y 19 at the point (4,1). (Type an…

A:

Q: 23. Consider the circle x² + y² = R². (a) Write down parametric equations to traverse the circle…

A: Given equation of circle is x2+y2=R2. To determine: Parametric equations to transverse the circle.…

Q: In two or more complete sentences, explain how to find the time it takes for a rocket following the…

A: We will find the time taken by the rocket to hits the ground as shown below

Q: Find parametric equations for the line described below. The line through the point P(-6, 0, -6) and…

A:

Q: Find parametric equations for an object moving clockwise along the ellipse = 1 beginning at (0,2)…

A: To find out the parametric equations for the given.

Q: 7. The parametric equation of an ellipse is given by x = a cost, y=bsint; 0<t<2n. Determine the area…

A:

Q: Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 42² = 4…

A: To find: Parametric equation of the Intersections of the curves  4x2+y2+4z2=4 and y2=x2+2z2.

Q: What is a cycloid? What are typical parametric equations for cycloids? What physical properties…

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: Use the parametric equations of an ellipse, x=4cos(theta), y=3sin(theta), 0 less than or equal to…

A:

Q: Explain how to use directrix. ey = &x to find the parabola's focus and

A: Given equation of parabola is y2=8x. To find focus and directrix of parabola. Solution: Equation of…

Q: A wooden plaque is in the shape of an ellipse with height 34 centimeters and width 4 ellipse and use…

A: It is given that A wooden plaque is in the shape of an ellipse with a height = 34 cm and width = 46…

Q: find the exact perimeter of the ellipse x2/a2 + y2/b2 = 1. (No approximations) please show all the…

A: Consider the provided question,

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: Here we have to calculate the height of cable

Q: Find a parametric description of the line segment with endpoints P(-1,3) to Q(3,-2)

A: The line segments with endpoints P(-1,3) to Q(3,-2)

Q: radiation is focused to an unhealthy area in a patient’s body using a semi elliptical reflector,…

A: Given that width of the reflector=100cm          And height of the reflector=30cm Here the foci lie…

Q: state whether the given equation defines an elliptic paraboloid, a hyperbolic paraboloid, or an…

A: Rearrange the equation, 3x2-7y2=z by dividing both sides by 21 and obtain x27-y23=z21. The general…

Q: What is the shape of the vertical cross section of this solid figure that does not pass through the…

A: 2)circle

Q: Consider two non-parallel lines , l1 & l2, in R³ with parametric equations l1: P+ tu l2: Q + tv.…

A:

Q: Find the equation of parabola with rertex at (0,0 and focus at (3

A: Given the vertex is at(0,0) and focus (3, 0)

Q: Radiation is focused to an unhealthy area in a patient’s body using a semi-elliptic reflector,…

A: The position of the elliptical reflector is placed  such  that it contains the one of the focus and…

Q: An ellipse has an equation equal to 9x2-144x+16y2 +96y+495-D0. Compute the eccentricity of the…

A:

Q: Find parametric equations for an object moving clockwise along the ellipse 25 -1 beginning at (0,2)…

A:

Q: Find parametric equations for a circle of radius 2, centered at (3, 5).

A: Solution:Given    radius of the circle=r=2centre of the circle(h,k)=(3,5)To find the parametric…

Q: satellite dish shaped like a paraboloid, has a diameter 2.4ft and depth 0.9ft. If the receiver is…

A:

Q: Find parametric equations for the intersection of the surfaces y = x² and 2x² + y² + 6z² = 24 and…

A: Find out the parametric equations for the intersection of the surfaces y=x2 and 2x2+y2+6z2=24…

Q: parabolic antenna follows the equation y^2 + 4x 0. Which of the following is the coordinates of its…

A: Topic = Parabola

Q: Radiation is focused to an unhealthy area in a patient’s body using a parabolic reflector,…

A:

Q: ) Find parametric equations for the line segment starting at P(-1,-3) and ending at Q(6,-16).

A:

Q: Lukalu is rappelling off a cliff. The parametric equations that describe her horizontal and vertical…

A: Solution

Q: State whether the given equation defines an elliptic paraboloid, a hyperbolic paraboloid, or an…

A:

Q: A curve represented by the parametric equations a = et and y = e 24, will be Select one: О нурerbola…

A:

Q: How did he get the value inside the circle Given, 2 = xay2 and x-y+22=2 >2 = 1- - ellipse fox n is…

A:

Q: In two or more complete sentences, explain how to find the time it takes for a rocket follow 3t and…

A: Introduction: A parametric equation is a type of equation that uses an independent variable called a…

Q: The towers of a 60 meter parabolic suspension bridge are 15 m high  and the lowest point of the…

A: Topic name-  use of parabolic formulas  in practical design

Q: Find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (1, 0). What I…

A:

Q: Radiation is focused on an unhealthy area in a patient’s body using a semielliptical reflector,…

A:

Q: Find parametric equations for an object moving clockwise along the ellipse 16 = 1 beginning at 25…

A: Given equation of ellipse is x216+y225=1 ..............(1) It is required to find the parametric…

Q: Find parametric equations for an object moving clockwise along the ellipse 25 =1 beginning at (0,4)…

A: For the solution follow the next step.

Q: Find parametric equations for an object moving clockwise along the ellipse 25 = 1 beginning at (0,2)…

A: Given: x225+y24=1   By comapring given equation with general form (x-h)2a2+(y-k)2b2=1h=0 and k=0…

Q: In a right spherical triangle ABC, B=90°. Using Napier’s first rule, what is the simplified form of…

A: There are two Napier's rules that are used to solve the right spherical triangles.

Q: Find parametric equations for the circle with center(h,k) and radius .

A: Find parametric equations for the circle with center(h,k) and radius r.

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

A:

Q: A bridge is built in the shape of semielliptical arch. It has a span of 112 feet. The height of the…

A: Let the equation of the ellipse is x2a2+y2b2=1 Here, span of arc is 112 feet ⇒2a=112 ⇒a=56…

Q: TRUE OR FALSE. Consider the parametric equations of a cycloid given below. Its length of arc is…

A:

Q: The path of a marble rolling off of a desk can be modeled by the parametric equations: x(t)=2.5t…

A:

Q: Find the equation of ellipse referred to its major and minor axes as the coordinate axes x, y…

A:

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 260 meters.…

A:

Q: What is the equation of normal to the ellipse 9y^2 + 4x^2 = 25 at (2,-1) ?

A: Slope of normal is -dx/dy  So we differentiate both sides with respect to x Then we plug x=2 and…

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.