Please show or justify all answers. Work must be shown for full credit. 5. A rock is tossed from a height of 2 meters at an initial velocity of 30 m/s at an angle of 20° with the ground. Write parametric equations to represent the path of the rock. (Show work)

Q: In a pumpkin tossing contest in Morton, Illinois, a contestant won the catapult competition by using…

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Q: If x(t) = -e * and y(t) = 2et, eliminate the parameter to write the parametric equations as a…

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Q: A baseball is hit towards the outfield, following the equations x(t)=51.5t and y(t)=−16t2+105t+4,…

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Q: Plot the set of parametric equations by making a table. You mušt indicate the orientation…

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Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = t2 -…

A: Here we have to convert the parametric equation into rectangular equation.  The solution is…

Q: Find a parametric representation of the solution set of the linear equation. (Enter your answer as a…

A: You are  correct, but representation is different. please follow the instructions for typing.

Q: A rocket is launched from the ground with a velocity of 28 feet per second at an angle of 60 degrees…

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Q: Find parametric equations for the trajectory of a particle that moves along the circumference:

A: Given the trajectory of a particle that moves along the circumference

Q: find the parametric equation (linear). remove the parameter to find the equation. graph them.  c.…

A: The solution of given equations is given as follows . The graph is the straight line as given below…

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Q: Sketch the curve represented by the parametric equations

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Q: By parametric equations ? = ?2 - 2, ? = 5 - 2?,-3 ≤ ? ≤ 4a) Tabulate and sketch the curve using the…

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Q: Suppose a churro is 10 inches long and has a cross-section described by the parametric equation c(t)…

A: Since cross sectional area is same throughout the length so volume is the product of length and…

Q: A pair of parametric equations is given. = 4t2, y = 8t3

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Q: Given the information below, define a set of parametric equations, (t) and y(t) to model the…

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Q: Find the parametric equation of the line through the point ?(3,−2,1) parallel to the line ?=2−2?,…

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

A: Given :  parametric equations x=3t2 and y=−9t+18 to hit the ground.

Q: 3. For each pair of parametric equations, find the rectangular-coordinate equation for the curve by…

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

A: The equation of the trajectory can give the details about the position of the object at a time t. If…

Q: Given the information below, define a set of parametric equations, x(t) and y(t) to model the…

A: x(t)=a+tb,y(t)=c+td

Q: Use your parametric equations to determine the following: Maximum height Time to land Where to…

A: Disclaimer: Since you have posted the sub multiple parts for the questions ,we will solve the first…

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

A: Topic = Parabola

Q: Find the parametric equation and the normal equation of the line perpendicular to the segment that…

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Q: Find the parametric equations of the line segment joining the points ?(−2,0,2) and Q(0,2,0). Note:…

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Q: Without using a calculator, convert the parametric equations of a curve into rectangular form. No…

A: Given that parametric equation and convert this equation into rectangular form and State the domain…

Q: Let / be the line given in parametric form by the equations x = 2+ 4A y = 2 + 2A z = 2 + 5) %3D

A: Given,  The parametric equation of line,  x=2+4λ, y=2+2λ, z=2+5λ To determine the distance between…

Q: Consider the line in R? given by the parametric equation (a, y) = (2, -3) + t(-2, -9) What is the…

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

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Q: Give the parametric curve: x = t3-6t2 y = t2-4t Does every horizontal line intersect the curve? Does…

A: Given: the parametric curve:

Q: Find length of the curve described by the parametric equations a = 3t2, y = 2t, 0<t< V3. A. 3/3-1 B.…

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Q: Determine the length of the parametric curve given by the following parametric equations

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Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. rsin 0 =7 The…

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Q: t is formed by rotating the right triangle about the line show

A: Here we have to describe the 3D figure that is formed by rotating the right triangle about the line…

Q: Pketen the parametric curve, x = et, y = e=2t Then eliminate the parameter to find a Cartesian…

A: y=1x2

Q: Marissa gets on a Ferris wheel at its lowest point, 3m of the ground. The Ferris Wheel spins…

A: Marissa gets on a Ferris wheel at its lowest point, 3 m of the ground. The Ferris Wheel spins…

Q: Find a parametric description r(t) for the ine segment from (-1,-3,-1) to (1,7,4). Provide your…

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Q: Write parametric equations of the line through the points (-2,3,5) and (2,0,7). Please use the first…

A: The solution is in step 2

Q: If a and b are fixed numbers, find parametric equations for the curve that consists of all possible…

A: Any point on the Cartesian coordinate system is defined as x, y. Start from the origin, move m units…

Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

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Q: Find. and find the slope and concavity (if possible) at the given value of the parameter. (If an…

A: Question is solved.

Q: After a vigorous soccer match, Tina and Michael decide to have a glass of their favorite…

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Q: find parametric equations for the given curve. Segment joining (1, 1) and (2, 3)

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

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Q: Write parametric equations of the line through the points (-2,3,5) and (2,0,7). Please use the first…

A: We will solve the following.

Q: find parametric equations for the given curve. Line of slope 8 through (−4, 9)

A: Given slope and a point are: The standard equation of line having a slope, m and a point (x1,y1) is…

Q: If a= 2i + 3j + k and b = i + 5j − 4k , calculate: i) a ∙ (b + a). ii) the angle between (2a + b)…

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

Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Circle:  x = h +…

A: x=h+r cosθ , y=k + sinθ

Q: 2. Suppose a churro is 10 inches long and has a cross-section described by the parametric equation…

A: Given that: Length of churro = 10 inches Cross-section of churro is given by, ct=cos3t, sin3t To…