This problem uses content from section 7.6. Consider a line lwith positive xand yintercepts. Suppose that lmakes an angle of θ(where 0 <θ<π 2 ) with the positive x-axis. Let nbe the normal line to l. Let φbe the angle nmakes with the positive x-axis. (i) Draw a suitable picture with l, θ, n, and φclearly labeled. (ii) What is the relationship between θand φ? (iii) What is the slope of lin terms of φ? (iv) What is the slope of lin terms of θ? (v) What is the slope of nin terms of θ?

Q: 5. Consider the line segment AB shown below. The points A = (1, h) and B (5, 7) are equidistant from…

A:

Q: 10- Open-ended Lines k and n intersect on the y-axis. a. What is the equation of line k in…

A:

Q: 1. A line through (-2 , y) and (2 , -10) is perpendicular to a line through (-3 , -7) and (5 , -5)…

A: according to bartleby guide line we do only first part of multiple questions(i)  if two lines are…

Q: Bestam (shortest) between line L : (x, y, z) = (1, 0, 1) + t(2, 1, −1) and point P = (2, 2, 1).…

A:

Q: ) Find the least-5quares line y=fex) =AX+ B for the following data - 1 -0.5 O :S -1 1 2. -2

A:

Q: find Slope Concavity. find ail points HAIVErHIcat tongency when E-s,S) dy 3.

A: Given x=1-t and y=t3-3t The objective is to find  dydx,d2ydx2, slope,concavity points and vertical…

Q: let γ be the line segment joining 0 to 1+i. then the value of ∫γzdz is

A:

Q: -5 ints. ll replace the entered answer value(s) with the radio button value. If the radio button is…

A:

Q: If 0 is a first quadrant angle where P(u, v) = (-1, -2), tan 0: 5 + V5 - V5 5 - 5 - V5 5 + V5 5 - V5…

A:

Q: 1/1 Question 8 PQ is tangent to circles R and S. Find PQ. 58 PQ = _ P R8Q PQ is tangent to circles R…

A:

Q: Find 2 x²z ds, where C' is the line segment from (0,-3,-4) to (5,-2,-5). C

A:

Q: a. Let C = C, U C2 where C, is the line segment from (2,0,0) to (3,4,5) and C2 is the line segment…

A: c1: Line segment from (2,0,0) to (3,4,5)The equation is…

Q: Through any point (x, y) of a certain curve which passes through the origin. lines are dawn parallel…

A: Draw the sketch of two possible cases of the given problem:

Q: Question 15 Find the distance from S= (1,1,5) to the line L: x=1-t, y=2-1, z=31.

A:

Q: All 3 parts.

A: To find the slope of the tangent, we need f'(64)

Q: 1. Use the distance formula to find the distance between two points with coordinates (6, 4) and (1,…

A:

Q: Find the distance from point P to line L.  P(3,-1,4), L: (x-4)/-1 = (y-3)/2 = (x+5)/3

A:

Q: Subject. Date For a PEIR", supPOs that the curves yx :IRIR are given by the and rules 8,(H)…

A: Given: a, r ∈ℝ+ γ1, γ2 : ℝ→ℝ2 such that, γ1(t) =(rcos(at), rsin(at)) γ2(t) = (rcos(-at), rsin(-at))…

Q: the distance from (2,x) to (4,3) is 2, what is x?

A:

Q: Let P(6, – 2, 2) and Q(0, 0, 0) be two points in R³. Find the distance between P and Q. - PQ

A:

Q: Lines /1 and l2 are parallel and 13 is a transversal. 1. 3. Which statement is true? A m/1= 90 B.…

A:

Q: Ex. 3. the horizontal plane through the point of projection. If a and B are the possible angles of…

A:

Q: 4. Let f:A→R and g:B→R where f(A)cB. Explain to prove that if f is continuous at CE A and g is…

A:

Q: B. Find the line through the point p(1,4) with an inclination V3

A:

Q: Graph the given and test to Enow use the vertical line or wt if it B tunchion (5,2)(-3, 4)(7,2)

A: Let's find.

Q: Determine the exact distance between lines l1: 7 = (5,–3,7) + s(3,-2, 5) and l2: 7 = (2,-7,9) +…

A: Here both the lines are parallel.

Q: 8. Let y = -3 the origin. 9 and u = H Compute the distance from y to the line through u and 2

A:

Q: Inswers: 4. 6. 5. Complete both parts us ing the diagram below. 65° 3. What angle relationships is…

A: