time t = 0. Find two distances between the points r(1) and r(2): the Euclidean distance in space and the timppose a particle is traveling in a plane along a curve given by r(t) = (t3, V2t2, 4t), starting wibh of the line through the points (0, 1, 2) and %3D distance along the curve.

Q: 2/7 + -4/3

A: Given,

Q: 1/3+2/9

A: Given 1/3 + 2/9

Q: (1-2=) dr

A:

Q: 5 3 4 x-3 x-2 x-3'

A: Given that 5/(x-3)-3/(x-2)=4/(x-3) To solve for x

Q: 4n – 1

A:

Q: -2- 4- 3 10

A:

Q: V81x6 V3x3

A: Given expression is:  81x63x3 =81x63x3=27x6-3

Q: 6/7-2/3

A: our objective is to find the difference.

Q: 8 in images

A: It is an important part of statistics . It is widely used .

Q: 目 +8 LI +T 现 +04 +C4 |F|E|F|| ||||4 4 4 2 2

A:

Q: Let Mbe as in Equation (3.14) and let X = [1, 0, ½]¹. Show that the entries of Y=MX sum to 1.

A:

Q: graph shows the relationship between the volume of the dilated box and the scale factor. diusuon 5.…

A:

Q: 0 1 2 4 0 2 4 0 0 3 9 12

A:

Q: 2(3+d-1)

A: Solve the given expression  given expression is 2(3+d-1)

Q: 1/4 +5/4

A: Solution: The objective is to find the value of the given expression

Q: 3. Identify all the cycles at each node of the directed graph above.

A: Cycle is defined as a path that start and end at the same vertex.

Q: -2(5a)

A: To evaluate-2(5a)

Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: (24) Half the product of a number t and 48

A: The objective is to half the product of a number t and 48.

Q: 10. 3 + Зу- 1 + у

A: Given that                     3+3y-1+y Now we simplify this.                           3+3y-1+y…

Q: X5 y / x4 y6

A: Given: x5yx4y6

Q: 4 1/2 + 3 2/3=

A: Given,

Q: 1) 6dx 3/3

A: ∫33361+x2dx=6∫33311+x2dx=6tan-1x333=6tan-13-tan-133=6tan-13-tan-113=6π3-π6=2π-π=π

Q: -5/9 + 1/2

A: The given expression is

Q: 8y3 + 216

A:

Q: limx→2 f(x) = lim, ¹x→−1+ f(x) =

A: Given graph of the function fx is   1. Find :  limx→2 fx. 2. Find :limx→-1+ fx.

Q: -3 -2 -1 1 2 0000000 3.

A:

Q: /2 2. 1/2

A: (a12+b12)(2a12-3b12)=2a12a12+2a12b12-3a12b12-3b12b12=2a+2a12b12-3a12b12-3b=2a-a12b12-3b

Q: -4 -2- 4 8

A: We are asked to find the horizontal asymptote and vertical asymptote. Horizontal asymptote (HA) - It…

Q: -2 -4 and D = 4 8

A:

Q: (s - 3)5

A:

Q: 5n2

A: