1. If I am translating the point W(3, -7) four units left and 15 units up THEN dilating it by a factor of 4, then where is the point W'? [Type your answer as (#,#).]

Q: 12) Circle O is tangent to L: 5x - 12y + 19 = 0 and L 5x 12y 7=0. If the center of the Circle O is…

A: The given tangent lines are, L1: 5x - 12y + 19 = 0L2: 5x - 2y - 7 = 0both lines are in the form ax +…

Q: 3) Find the exact length of the curve: x = y = In(1+t); 0<t<2.

A:

Q: 18.8. (a). Let y be the contour z = e", - TOST traversed in the %3D positive direction. Show that,…

A: To solve the given question we shall use the following formula: Cauchy integral Formula: Let C be a…

Q: If the rst line has the form Ax + By + C = 0 and the second line has the form Dx + Ey + F = 0 and…

A: Given,  The first line  Ax + By + C = 0  and  is to pass through the origin  The second line  Dx +…

Q: If the first line has the form Ax + By + C = 0 and the second line has the form Dx + Ey + F = 0 and…

A: The first line is of the form Ax+By+C=0and the second line is of the form Dx+Ey+F=0 As the first…

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 exact length of the curve. v= In(1 – x²). y 0 <x < 1 In(|3|) - 8.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the equations of the tangent line in the given plane. Tangent to the parabola z = x² + 3y² , x…

A: Tangent line equation problem....

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: Find the plane thst passes through the equation of. the point P(6,0,-2) ¢ = 1+t, z=2 -t entains the…

A:

Q: 13. the , xydA, where ySxsy?}

A: First I have set the limiting double integral from given information and then solved it .Final…

Q: Find the exact length of the curve. y= In{1 – x²), o s 1. 0 sxs! 7. I Ju =

A: We will find the exact length of the curve as shown below

Q: The set of points P(x, y) such that their distance from (3, 0) is v2 times their 1. distance from…

A: The   distance from point Px,y  to 3,0 is 2 times the distance from point Px,y  to 0,2. Solution:…

Q: 3 1 If the length of the curve y = 4 x5 from the point (0, 0) to the point (xo, f(xo)) is L = 54…

A: Length of curve is given by the formula L=∫ab1+dydx2dx Steps to find length- (1)Find derivative of…

Q: 2. Evaluate dy, where C is the part of the parabola y = x² from (1, 1) to (2, 4).

A:

Q: 3.Eliminate the arbitrary constant on the given equation: xsiny – x²y-3 = C

A: In this question we have to eliminate the arbitrary constant on the given equation.

Q: If the distance from P(1, 0) to the point T(1 ) is x, determine the coordinates P(1,0) of the point…

A:

Q: 2/3 Determine the length of x=| for 0<ys2. Assume that y is positive.

A:

Q: 5. The plane divider of the graph of 4x + 2y < 16 is a while in 4x + 2y s 16 is a Point (0,0)…

A: The graph of 4x + 2y &lt; 16 is shown below:…

Q: b) If we are at the point (1, 2, 4) on the surface z = xy², and we move a short distance in the…

A: Please check step 2 for solution.!

Q: (6) Find the points on the curve 5x2 + 6xy + 5y² = 9 which are nearest to and farthest from the…

A:

Q: and 3 point Gauss Quadrature 2 By using e sfim afe : 2 dx メ-2 い)S, dx Nx

A: The given problem is to estimate the integral using 2 point gauss quadrature rule and 3 point gauss…

Q: (a) Suppose x E Q with x # 0 and y E R – Q. Show that their product ry is irrational.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find values a, b, c, d such that the function (x+ 1)³, -2 < r <-1 s(x) = { ar³ + bæ² + cx + d, -1 <…

A:

Q: (1) Find a point P in the first quadrant on the curve f(x) = such that the rectangle with sides on…

A: In the question we have to find the perimeter of the rectangle.

Q: 3.Eliminate the arbitrary constant on the given equation: xsiny – x²y- C

A:

Q: The base of a three-dimensional figure is bound by the graph y = sin(x) + 1. Vertical cross sections…

A: Let a be the length of each side of a square. Then, the area of the square can be calculate by using…

Q: 4. The tangent of the acute angle between the linesy = 4x – 3 and y = x - 5 is Tano 144() 13 3

A: Please rate

Q: - )and (,- The points of intersection between the Curves r= 3cose and r= 2- cose are: A))and (…

A: Let's find intersections points.

Q: 2.21. Plot the following curves, locate any fixed points, and obtain asymp- totic expansions to…

A: Given : 2yk+12-5yk+1yk+2yk2=2.............(i) Taking logarithm of the given difference equation, we…

Q: et y = [ 2   3   -1] and u = [ 2   -6   -6] compute the distance d from y to the line through u and…

A: first we shall find equation of line then find distance from line of that point

Q: 2 Find the points on the cone z = x´ + y´ that are closest to the point (2,-3,0)

A:

Q: 7.) Find the shortest distance between (4,2) and the curve y? = 8x.

A:

Q: (2)· (2)' + sinais The degree of the dirterential equation 10

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The area bounded by the curve y = 4r and the lines z = 2 and I=8 above the I- aris is O 240.00…

A:

Q: (1) Give two different parameterizations for each of the following curves. (a) The line segment from…

A:

Q: 4. Given the following data points: (Xn, Yn) = (1,2), (2, 4), (5,3), (–2,2) Determine the best-fit…

A: any quadratic equation of the form of  y = ax2+ bx +c                     (1) Here the set of values…

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: And the sope and y-ntercept (r possble) of the Ine. Lir- 14y - 2 Arst, we must rewrite the equation…

A: Given  13x-14y = 28 equation of a line in slope intercept form is given by  y = mx+c         where m…

Q: Find the length of one branch of the curve 9y^2=4(1+x^2)^3 from x=0 to x=2

A: Given curve is 9y2=4(1+x2)3

Q: ),22 %3D Problem I. Given z, = 3el(T76), z, = 2eiT/4), find: 1. Z1 + Z2 2. Z1 - Z2 3. Z,Z2

A:

Q: By means of Lagrange's formula, prove that 1 Yo = - 1 - [2 (y₁+y_₁). (Y3 - y₁) 2 -Y₁) - 2 (Y-₁-y-3)…

A:

Q: 1- If we use MUC to find y, of y"-5y'+4y 4xe +2e* +2xcos3x. Then find the suitable form for y,.

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 11. Find the distance between the point (1,0,-1) and the line x = 5 – t, y = 3 t, z = 1 + 2 t.

A: 11) The direction ratio of the lines  = -1,3,2 The direction ration of the point (1,0,-1) and the…

Q: -x -e = luxe by Bisection Slove:.

A: To solve by using the bisection method.

Q: 3) Find the exact length of the curve y = x² – In x for 1< x < 2. 1„2

A:

Q: Suppose Vf(x, y) = 3y sin(xy)i + 3x sin(ry)j, F = Vf(x,y), and C is the segment of the parabola y =…

A:

Q: Find the exact length of the curve. y = In (1 - x2) ,    0≤   x ≤ 1/2

A: Given, y=ln1-x2,0≤x≤12 We know the ars length formula is, L=1+dydx2dx Now we find the derivative by…

Q: 16. Evaluate (x + V9) ds where C consists of two segments: the part of the parabola y = x² from…

A: In the given question we have to evaluate the integral ∫C(x+y)ds where C is the regionconsist of two…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.