3.4 Compute the angle between -- ). --- 1 y = 2 using a. (x, y) := x'y TBy, 2 В:- 1 b. (x, y) := x 3

Q: parallel (à), and to tke line that makes an angle of tar6) with angle of (x13) with (j). an

A:

Q: Determine the angle between the two lines: 1₁: 7 = (1,0) + t(0, —2), t ¤ R x+2 y-3 and 1₂: *+² = −³.…

A: Given

Q: Multiply and simplify: Vom’n° /3m°n² 6m²n° /3m°n? 2.5 8 2 VE(Võ + V18) b. a.

A: The given expressions are: a. 6 m2 n53 m8 n2 b. 2(6+18)

Q: What is the length of the transverse axis?

A:

Q: 3 For V- , evaluate y' when y= 4. A) -4 B) 4 (c) -2 D) 2

A:

Q: If triangle ABC is reflected across the y=1, what will be the coordinates of B'? (2, 5) |(-4,3) (2,…

A: We have to reflect the point B(2,3) across the line y= 1 .

Q: The distance from the point S(1, 1,4) to the line x = 2- 3t, y = 1 + 6t, z = 4-t is Select one: A.…

A:

Q: 15. Find the angle between the straight lines I, and l, which are defined by x-2 y+1 =1-z. 4:x=1+2t,…

A: The angle is, 85.75°  The detailed solution is as follows below:

Q: 10. Given X(7,3) and Y(-6,2), find the coordinates of any point Z such that XZ XY = 41. .

A:

Q: Calculate the length of the astroid of x2/3 + y2/3 = R2/3 for R = 2. -R R -Rt +x R

A: To calculate the length of the asteroid of

Q: 3. Point A is located at (2, 1). The point is reflected over the line y =-x to obtain image point…

A:

Q: c) y" - xy = 0.

A:

Q: The point G (-6, 4) is translated 2 units left. G'? What are the coordinates of the resulting point…

A: Given point G is (-6, 4)

Q: dw 21. : 1-cosw A. -tan w + secw + C B. w – cotw + C C.-cotw – cscw + C_ D. -cscw + tanw + C

A: We can find the integral value as below.

Q: 1. Which is the simplified form of 3xy x 5xy? a. 15x'y? b. 15x*y 15xy d. 15x'y Cc.

A: Write in simplified form 3x2y×5xy.

Q: The roots of the characteristic equation of y"-7y=0 are:  a. √7.-√7  b. 0, 7 c. 7,7 d. 7.-7

A: Here I am attaching image so that you understand each and every step.

Q: Suppose the elevation z above a point (x, y) in a horizontal xy- plane at sea level is z = 5cos…

A: Given, z=5 cos0.01x2+y2 meters. The climber is at the point (6,8, 2.70). Now the climber wants to…

Q: Find the angle between u and v. - [8] -- [14] = B = U =

A: Given query is find the angle between the vectors.

Q: Evaluate F. dr along the line segment C from Pto Q. F = -8 xi+5y j; P(-1,0), Q(7, 0) F. dr i

A:

Q: uppose that x + y = 2. What is y" at the point (1, 1)?

A:

Q: Show that the point (x0 , y0) closest to the origin on the line ax+ by =c has coordinates

A: Distance between x0, y0 and origin (0, 0) is, D=x0-02+y0-02D=x02+y02D2=x02+y02f=x02+y02…

Q: Q1. If the line y = mx + c passes through (3,4) and makes an angle of sin-1 (3) with the positive…

A: If the line  passes through  and makes an angle of  with the positive direction of -axis, then to…

Q: 1 2 Y = -1 x = 3 using a. (x, y) := x'y %3D 2 1 b. (x, y) := æ' Ay, A:= 1 3 -1 -1 2

A:

Q: 3 - If h(x, y) = y – xy – x², find at the point (2, n) ду

A: The given function is  h(x, y) = y - xy - x2 To find ∂h/∂y   at (2, π)