10. Two vertical poles PQ and ST are secured by a rope PRS going from the top of the first pole to a point R on the ground between the poles and then to the top of the second pole as in the figure. Show that the shortest length of such a rope occurs when 0 - 02.

Q: Solve the following inequality graphically in two-dimensional plane:y < – 2

A: We first draw y=-2 line

Q: 3. Consider any five points P1,..., Pn in the interior of a square S of side length 1. Find the…

A: Given: Any five points P1, P2, ..., Pn in the interior of a square S of side length 1. To find: The…

Q: A line is tangent to the curve y = 3x1 and is bounded by the r- and y-axis in the first quadrant.…

A: Let's find.

Q: A particle travels along a path from (0, 0) to (3, 4). What is thedisplacement? Can the distance…

A: Given- A particle travels along a path from (0, 0) to (3, 4). To find- The displacement and check if…

Q: 16. Let y = and u = B Compute the distance from y to the line through u and the origin.

A:

Q: 2. Consider any five points P1, Ps in the interior of a square S of side length 1. Show that one can…

A: To solve this problem we use the Pigeonhole principle . Pigeonhole principle : If there are m holes…

Q: find the length of the curve 3/8 (x^4/3 - 2x^2/3) x = 1 to 8

A:

Q: 5. Triangle JKL with verfices J(1,-1). K(2, 3), and L(3, -2): x=4 J': L': K'

A: In the question it is asked to take a mirror image of triangle ∆JKL about x=4. Coordinates of…

Q: Prove that the are length af Curve y = leg secx from N =0 to 3 is leg ta+ 45) .

A: The formula of arc length is given below:

Q: Find and plot the cubic spline S satisfying S(0) = 1, S(1) = 3, S(2) = 3, S(3) = 4, S(4) = 2 and…

A: %File Name: findSplineCoefficient.m %Define function function [ retCoeff ] =…

Q: 2. Consider any five points P1, Ps in the interior of a square S of side length ... 1. Show that one…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: Consider the accompanying graphs of y = 2x + 3 and y = In x. Determine the %3D a. minimum vertical…

A: (a) Given information:

Q: 3-) Find the pointls) to point Az(d,0) on x-3~y2 that are closest メ=2 25 +1,5 0.5 + - -ロ5 + 8.5 to…

A: here we have to find the point on the curve x=3-y2 that are closest to point A(1,0) let point is…

Q: . Northwest Airlines flew from Tokyo ( 14o36’N, 121o05’ E ) on a course S 30o W and maintaining a…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: per wc starts west from A at 40 mi. per hr.; at 12:10 P.M., another car atarts east from But 19. One…

A: As per our guidelines we can answer only one question please repost other seperately.

Q: Find the total length of the loop of the curve 6y² = x(x – 2)² between x = 0 and x = 2. %3D

A:

Q: Find the are length of the polav Curve r=3° from o-0 to 0= 1

A: Solve the following

Q: 8how that the square of the leng point on the curve by = (x + a)° , length of the subnormal at that

A: Subnormal and Sub tangent: Allow y=f(x) to be the differentiable curve at point P. Let the tangent…

Q: (3) Let I be a line and P be a point not on I. Construct lines l, and l2 through P such that l,…

A:

Q: 4. The "bi-secant method" is a combination of the secant method and the bisection method. As in the…

A: Let the curve be y=f(x) , Given, initial and final points of curve is a, f(a) and b,f(b)…

Q: Is it true that if you stretch a rubber band by moving one end to the right and the other to the…

A: Note:  The question can be interpreted by many ways. It can be seen from physics point of view by…

Q: Find the equation of the line through P = (4, 12) such that the triangle bounded by this line and…

A:

Q: If a bug walks on the sphere x^2 + y^2 + z^2 − 4x + 4y + 4z + 3 = 0 how close and how far can it get…

A:

Q: Conotrut a onatn'x whode Columu 8pure (leli2) & whole cli5) 10 is spanned by now &pale in Bpanned by

A: Column space is spanned by 3-dimensional vector. Row space is spanned by 2-dimensional vector.…

Q: Compute the length of the curve 3ti – 6tk over the interval 8 <ts 18.

A:

Q: Show that the intervals S [1,3] and T =[2,8] are equinumerous by finding a. bijection between them.

A:

Q: Point K is on line segment \overline{JL} JL . Given JL=x+10,JL=x+10, KL=4x,KL=4x, and…

A: here point K is on line sagement JL so it divide in two part one is JK and KL here we have to find…

Q: 3. Evaluate Se(x² – iy²)dz along the straight lines from (1, 1) to (1, 8) and then from (1,8) to (2,…

A:

Q: Use Simpson’s Rule with n  =6  to estimate the length of the curve x  =t - et -6&lt;t&lt;6

A:

Q: (c) A line in R² not through the origin ax + by sC #0 then &H. :, t is not a ad Umecepsang but…

A:

Q: 10. Triangle JLM with verfices J(-5, 7), L(8, 3), and M(-3, -1): (0, - 5)

A:

Q: If z = x + iy, then the inequality |z + il < 3 is a: A. Circle with center at (0,1) and radius 3. B.…

A:

Q: Atomic particles with like charges tend to repel one another. Suppose that two beams of like-charged…

A: Here, we can define the path of the given  particle as:

Q: Point K is on line segment JL. Given JL + 10, KL 4r, and JK 2z, determine the numerical length of…

A: Given:Point K is on the line segment JL.JL=x+10 unit, KL=4x  and JK=2xTo find:The numerical length…

Q: Solve the following inequality graphically in two-dimensional plane:y + 8 ≥ 2x

A: Given:

Q: | 6. Let y = 3 and u = . Compute the distance from y to the line through u 1 2 and the origin.

A: Given: y=-231  and u=1-12 To compute: the distance from y to the line through u and the origin.…

Q: Theorem 5 there is auniqe Reul for X=2 Sit X ER

A:

Q: 2) Prove by using the pigeonhole principle that among any 17 points in a square of side one there is…

A: Given: A square of side one contains 17 points. To show: There is at least a pair whose distance is…

Q: 6 - Find the length of the curve y = (x)7 from the x = 0 to x = 4. a) O 8/27(10^(3/2)+2) b) O…

A: .

Q: 6. How much work is done pulling the block 1.0 m with the string horizontal and at 30°?

A: Please see the explanation below

Q: Atomic particles with like charges tend to repel one another. Suppose that two beams of like-charged…

A: x^2 − 4y^2 = 36 is a hyperbola Write it in the standard form and find a and b by comparing.

Q: Suppose you wind a thread on a pool of 1 cm. Points K, L, M, N, and so on until S are marked on the…

A: We have to find the length of thread in terms of π.

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

A:

Q: 5. Find the point Q along the directed line segment from point R(-3, 3) to point S(6,-3) that…

A: Here we have to find the point Q, which divides the line segment joining R(-3,3) and S(6,-3) in the…

Q: Find the length of the curve defined by y = 3 In 3 from x = 8 to x = 9.

A: Use derivative of function and length of curve formula .

Q: 7.8 Assume A * B + C on one line, and A * D* E on another line. Show that the segment BE must meet…

A:

Q: A pole of length AB is to be moved in two corridors of width 27 ft and 8 ft. Find the minimum length…

A:

Q: Questlon 1 of 10 Two or more points are if they lie on the same line. O A. complementary O B.…

A:

Q: Compute / (1/zy, 1/(z + y)) dr along the path from (1, 1) to (3, 1) to (3, 6) using straight line…

A: The parametric vector form of a straight line from (1,1) to (3,1) will be given by:…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.