Question 4 Find the distance between the following points in the plane: a) Distance between (2,-1) and (3,4). b) Distance between (-1,-2.5) and (-2,-4.5). 1 e of 3

Q: The following are the parametric equations for the motion of an object:

A: This question is taken from the calculus in which we have to find the slope from the given…

Q: Question 1. of the line L that passes through the points (-1,3, 7) and (2, –1,3). (a) Find the…

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Q: QUESTION 3 Let A be the point with coordinates (3, 2, 0) and let B be the point with coordinates (2,…

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Q: Suppose a baseball is thrown at 30 ft/s at a 60 angle to the horizontal from a height of 4 ft above…

A: Given  A baseball is thrown at 30 ft/s at a 60° angle to the horizontal from a height of 4 ft above…

Q: Question (5): Let ABC be an arbitrary triangle in the plane. We define new points A', B',C' as in…

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Q: If four points be taken on a rectangular hyperbola such that the chord joining any two is…

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Q: QUESTION 29 ONLY FILL IN THE NUMERICAL VALUE OF THE ANSWER, TO 2 DECIMAL PLACE. Find the angle, in…

A: Given:The given two planes are x-y+3z=1 and 3x+y-z=2To find:we have to find the angle…

Q: Question 4 +y-6x+ 8y +24 = 0 is the equation of a circle with center (h, k) and radius r for: %3D h…

A: We will find the value of h,k, r as following.

Q: Question 4 In a concert hall, the ceiling can be described by the plane x + y+ z = 30. An audio…

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Q: Question 4 Write the standard equation of the circle with the given center and radius; center (0,0)…

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Q: Question 4 In a concert hall, the ceiling can be described by the plane x + y + z = 30. An audio…

A: 1st we will find function to be maximized and its corresponding constraint then will use Lagranges…

Q: Question 6 Let ū = (0, 1, –1), ū = (2, 1, 0) and w = (4, 1, 1). a) Show that ū, ū and ū lie in the…

A: As per the company guidelines we are supposed to solve first 3 subparts of a question untill…

Q: Question 1. 1.1 Sketch the points (1,5, 3), (0,2, -3), (-3,0, 2) and (2, -2,-1) o a single set of…

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Q: Question 2. Find the equation of the plane passing through the points (0, 1,0), (2, 1, 4), and…

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Q: QUESTION 5 Let A(-1, 3, 3), B(4, – 1, 0), C(5, 4, –7), and D(2. -1, –1). Find i. the normal vector…

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Q: Question 9 Let L be the line passing through the point P-(3, -2, -3) with direction vector d(-1, -3,…

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Q: Given the points A(-8, 2, 3) and B(-8, 2, -4). Question 3 a). Write parametric and symmetric…

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Q: Question 1: Find the image of the point under the following conditions, then draw each of the figure…

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Q: The midpoint of a line segment whose endpoints are P(3,2,1) and Q is M(2,3,–2). Find the parametric…

A: Given a line segment who endpoints are: P (3,2,1) and Q Let's say Q=( x, y, z) Now given that M (2,…

Q: Problem 4: Find the line equation for the line which passes through (1,3,4) and is perpendicular to…

A: According to the given information, it is required to find the equation of line that passes through…

Q: Problem 3. A plane, P, in R contains the point (-5; –-1; –3) and has normal (2; -4; 2)". Find the…

A: Given that: The point is: (-5, -1, -3)and the normal is: (2, -4, 2)T

Q: Question 3 pts Write the Equation for a circle of radius 3 and having center (-2, 5)

A: The solution is given below in the next step:

Q: Question 11 (a) Find an equation of the plane passing through the points (0, 1, 0). (-1, 3, 2), and…

A: Given points are x1,y1,z1=0,1,0 , x2,y2,z2=-1,3,2 and x3,y3,z3=-2,0,1

Q: Question 5, Find points of intersection of the plane 3x + 4u - 7- 24 = 0 with the axes.

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Q: Question 2 Identify the center and radius of the circle(-x- 2)² + (y+ 2) ²=100 A center(-2,-2);…

A: We have to find center As per guideline we have to solve one question please repost other question…

Q: QUESTION 11 What is the axis of symmetry for h(x) = 3x2 – 5x +6? 5 6 OB. 3 2 OCx = - 5 OD. 5 X= - 12

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Q: QUESTION 3 Suppose that you draw a point x in the middle of a page, and a curve going through X in…

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Q: Question 3 5 Find the point symmetric to about the y-axis. 2'6 5 2л 2' 3 b) O 5, 5 5л c) O 2' 6 d) O…

A: Given point is 52,π6We know that if a point (x,y) is symmetric to Y-axis means it will be mirror…

Q: Question 21 Give the coordinates of the vertex with focus at (1,2) and a directrix at y=8. Blank 1…

A: Given , The directrix is at y = 8 , focus at (1,2).

Q: Question 4 Find the Cartesian coordinates of the given point. (3, T/6) 1/23/2

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Q: QUESTION 9 Find the center and the radius of the circle. (x + 2)² + (y - 3)² = 64 O (-3, 2), r = 64…

A: Circle is a locus of all points equidistant from a fixed point. This fixed point is called the…

Q: Question 1 What is the distance between the point (-2, 5, 3) and the z-axis?

A: The objective is to find the distance between the point (-2,5,3) and the z -axis.

Q: Calculate the length of the astroid x2/3 + y2/3 = 1 (Figure 14). FIGURE 14 Graph of x2/3 + y2/3 = 1.

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Q: Question 20 An equation of the circle whose center is the origin and which passes through the point…

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Q: Question 6 The following planes T1: r - y- z+5 = 0 & n2 : 3x - 2y + z = 10 have an acute angle…

A: To find the acute angle between the two planes

Q: Question 9 Let L be the line passing through the point P-(3,-5, 4) with direction vector d=[-3, 1,…

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Q: A clock has a dial of 12 inches radius. The minute hand is 9 inches while the hour hand is 6 inches.…

A: Clock hands at 5:40PM Given that; OX = 12 inches OA = 9 inches OB = 6 inches We have to find the…

Q: Question 5 Find parametric equations for the line described below. The line through the points P(-1,…

A: Given: P-1,-1,-1   and 6i-3j+3k

Q: Question 1 of 40 What is the shape of the cross-section formed when a cylinder intersects a plane as…

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Q: Question 11 Let k be a real number and let ( be the line whose equation is given by 1 1 +t teR. k If…

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Q: QUESTION 2 What is the best descriptor of the object in three-dimensional space given by the…

A: Solution :-

Q: Question 10 Find equations for the planes: a) Passes through P(1,–1,–3) parallel to the plane 3x + y…

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Q: The parametric equations of the line that passes through A(-3,5,9) and B(-4,-7,2) is:

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Q: Question 4 Find the equation of the circle that has a center at (3,3) and is tangent to the y-axis?…

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Q: Question 3 Given the points A(-8, 2, 3) and B(-8, 2,-4). a). Write parametric and symmetric…

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Q: Problem 7 Find the distance from the point to the plane. (1) (6,0, –6), x – y = 4 (2) (3,0, 10), 2r…

A: Find the distance from the point to the plane. (1).   (6,0,-6) , x-y=4 We know that,   The distance…

Q: QUESTION 3 Find the distance between the pair of points. (3, 5) and (-6, -3) N145 72 1

A: the given points are  (3, 5)  and (-6, -3)

Q: Question 6. Write the cartesian equation of the sphere centered at (0, 3, –1) of radius 5. Write a…

A: General cartesian equation of a sphere whose centre is point h,k,l with radius as r units is given…

Q: QUESTION 2 What is the best descriptor of the object in three-dimensional space given by the…

A: