The path of a marble rolling off of a desk can be modeled by the parametric equations: x(t}=2.5t y(t)=-16t^2+3 In these equations, the horizontal and vertical positions of the marble x(t) and y(t) are in feet and t is measured in seconds. Use Desmos and scratch paper to complete the following prompts. A. The marble will hit the ground after how many seconds? =0.433 seconds. B. Using your answer to (A), how far (horizontally) from the edge of the table will the marble first hit the ground? C. The parametric equations above can be expressed as the following single rectangular equation:

Q: and

A: We will find the value of x.

Q: Let u = (-6,1) and let v = (6,-3). Find the value of u ÷ v

A: If we have two real numbers x and y  x/y=z ; Only is yz=x Similarly

Q: Where is Yc

A:

Q: dr –DA V7 - 5r)

A:

Q: Identify the Põints 4 3 M 2

A: Basically , The point (x,y) indicates the distance x from y axis and y distance from the x axis .

Q: 12.4 Show lim sup(sn +tn) N} N}+sup{tn :n > N}.

A:

Q: 8. X(2, 4) translated (x + 3, y– 3).

A:

Q: Find x and y. 6 17 y 5 11 5 (x, y) =

A: Equality of two matrices

Q: Find X ,Y and Z

A:

Q: Let à = (2, 3, 4) and b = ( − 2, 0, — 5). Find à x 6.

A: A detailed solution is given below

Q: 2. Reflect across the x-axis. A -2-

A:

Q: What present the x axis ?

A: x- axis:-   The horizontal axis is additionally called the x-axis as, on a graph the x values are…

Q: Find u+v-2u. U= = (5, 3) and v = (-3,5) u+v-2u=

A:

Q: Three receiving stations at (10, 13), (6, 8), and (14, 11) record distances to an earthquake of 2…

A:

Q: (-2,4) and (7,6) find the distance

A: Given two-points

Q: The distance from point (2,1) to point (8,-7) is: | a 14 V14 C 10 d e 12

A: Webhave to find distance between given point.

Q: Find in terms of x and y. xp

A:

Q: Find YZ and XY. Y -19 0. 6.4 15.4

A:

Q: đ = , b = , = , d = Find đ +?

A: Given,  a→ = 2, 4b→ = -3, 5c→ = 1, -4d→ = -5, -3 We have to find a→+ c→.

Q: Write as a line ar Combination of V, ,Vz,V3 where V= (1,5,4) ,V, =(1,3,-2),Vz=(2,7,-1) Vz=(1,6,7)

A: The given vectors are: v=1, 5, 4, v1=1, 3, -2, v2=2, 7, -1 and v3=1, 6, 7 Write the vector v as a…

Q: Differentiate. f(x) X x+ C X

A: Topic -Derivative of a function We are given, f(x)=xx+cxwe know thatddxuv=vu'-uv'v2    [ u and v are…

Q: 01 y! 1.

A:

Q: (0 ,5) (4,-3)

A:

Q: Let a = (-1,0, 5) and 6 = (3,-1,0). Find à x 6. < V

A:

Q: Find projvu.u = (2, 5), v = (0, 5)

A:

Q: find az and dz if uv u=1+St, v= S? ta

A:

Q: Q2/ Derive an equation represents the amount of fuel in a cylindrical tank. Then, write a MATLAB…

A: From the given information. The height of the cylindrical tank ranges from 0 inches to 10 inches.…

Q: You did not do the orientation

A:

Q: A(1,2), В(—1, —-1)

A:

Q: Find SL (xy) dl Lis Jquare 1x|+ lyl= 1 where.

A: The integrals in the form ∫Lf(x,y)dl involve the integration over the specific path L. In this case,…

Q: Differentiate.

A: Given,  y = √arctan x To differentiate the function.