Question 9 A curve in the æy-plane is defined by the equation a3 + y? - 12r + 16y = 28. Which of the following statements are true? I. At points where a = -2, the lines tangent to the curve are horizontal. II. At points where y = -8, the lines tangent to the curve are vertical. II. The line tangent to the curve at the point (-1, 1) has slope A I and Il only B Il and III only I and III only D I, II, and II

Q: Discuss and trace the curve of the following equation. 2. y = x+3 у %3D 1. у %3D x²-16

A: The general form of a polynomial function is given by a0xn+a1xn-1+···+an, where a0, a1,···,an are…

Q: Consider the curve defined by the equation 2x +y 3xy for questions (4-6). 3. 2 -3 -2 -1 1 2 3 -1 -2…

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Q: QUESTION 4 The equation |z – 5á +2| = |2– 36 – 5| in z #+y (with ,y € IR) describes the line (hint:…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Question 1 of 10 Which point lies on the line described by the equation below? y+ 3 = 2(x-1) O A.…

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Q: Question 3 A line is drawn along the top side of a square. The square is reflected across the…

A: Here we have to take reflection about y axis

Q: or the plane curve, (a) graph the curve, and (b) find a rectangular equation for the curve. x=t+2…

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Q: Question 2 3 pts Find the Equation of the line that is perpendicular to the line 3x + 4y = 7 and…

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Q: Question 10 Consider the line y = ax, where a is a positive constant. What is the shortest distance…

A: Given that, The equation of line is following, y = ax…

Q: Question 10 of 10 How do you know if two line segments are parallel? OA. Their slopes are…

A: To verify line segment are parallel:

Q: QUESTION 13 Write the equation of the line that passes through the point P(4, 3) and is…

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Q: Question 1: The two shorter sides of a right triangle ABC are on the coordinate axes and its…

A: ---------------------------------------------------------------------------- Equation of liney-8…

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

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Q: (a) If we mark off a distance t along the unit circle, starting at (1, 0) and moving in a…

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Q: 12. A circle in the xy-plane has equation (x + 3)² + (y - 1) = 25. Which of the following points…

A: According to the problem, we have

Q: Question # 4 of 16 A FLAG QUESTION Find he equation of the line perpendicular to 4x-y=-2 that shares…

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Q: y? A curve in the xy-plane is defined by the equation + - 3x + 2y = -. Which of the following…

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Q: Question 1 of 12, Step 1 of 1 Find the slope and y-intercept of the following linear equation.…

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Q: Question 7 If line AE is parallel to line BD, find the value of y. * (4x-5) D (10y- 3)°\ В (97–…

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Q: Question 4 of 10 How do you know if two line segments are perpendicular? OA. Their slopes are…

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Q: Question 4 Given the information presented on the coordinate plane below, what is the equation of…

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Q: QUESTION 6 Find in the form y = mx + c the equation of the line 3- -2, 432-1 2 3 -2- -3-

A: Here we have to find the equation of the line in the form of y=mx+c  where m is the slope and c is…

Q: Q1/ a) Write an equations for the line that passes through point: P1(1,0) , P: (3,2)? b/ Find the…

A: Given that the point p11,0 , p23,2To find : equation of line passing throught points  p11,0 ,…

Q: Assume that the line passes through the point (−4,−4) and is parallel to the line through the points…

A: The slope-intercept form of a line is y=mx+b, where m is the slope and b is the y-intercept. The…

Q: Question 13: If a circle passes through the points of intersection of the coordinate axis with the…

A: Given that, the lines are λx-y+1=0 and x-2y+3=0. Substitute y=0 in λx-y+1=0 to find the…

Q: Question 14 Find an equation of the line through the point (3, -5) and parallel to the line y 5x-2.…

A: Answer:   given line is passing by two points ( x1, y1)  and parallel to a line ,  :

Q: QUESTION 2 Let r(t)=(-t,2t2,2). Find the speed when t =4.

A: For find the speed we need to find first velocity

Q: 3. The angle between two curves is the angle between their tangent lines at the point of…

A: First we find the intersecting points.

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: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Which of the following  points in the standard (x, y) coordinate plane is furthest from the origin

Q: Kindly answer this as soon as possible -Divide 20 into two parts, such that the sum of four times…

A: Use result - Function attain it's minima where derivative of the function is zero

Q: 3. A curve passes thru (4,) and (10,). If y" = detemine the equation of the curve and indicate what…

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Q: At what point do the curves  r1(t) = t, 5 − t, 35 + t2 and  r2(s) =  7 − s, s − 2, s2  intersect?…

A: In the question we have to find the intersection point and angle of intersection.

Q: Find the intersection point(s) of the curves whose equations are: 5x - 4 %3D 2x - 4x + 22 The…

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Q: Let P(-4, 1, -3) be a point that is not on the line L . Let the line L pass-through points Q and R…

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Q: Question 16 There are two distinct lines passing through (-3/2, –3) that are tangent to the parabola…

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Q: Question 2 Select an Answer Question 2 4 What is the equation of the line that is perpendicular to –…

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Q: Question 1 of 10 What is the approximate distance between the points (-3, -4) and (-8, 1) on a…

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Q: Question 1. (5 marks) Find the distance between the point A = (2,2,3) and the line L : x = -1-4t, y…

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Q: Question Question 14 Consider the line y= 2x-5. Find the equation of the line that is parallel to…

A: Given line is y=2x-5 find the equation of parallel line find the equation of a perpendicular line

Q: QUESTION 4 OF 10 2(x 1)2 – 5 is graphed in the xy-plane. Which of the following The equation y…

A: Solution: The objective is to select the correct option

Q: Question 6 Consider the line y ax, where a is a positive constant. What should be the x- coordinate…

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Q: Question 23 Find the distance from the point P(2, 1,0) to the line 2 -2 +t

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Q: Find the distance between the line with equation 1. +t and the plane with equation r + y + z = 19 in…

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Q: Question 9 Find an equation for the line that passes through the given point and satisfies the given…

A: using formula of line passing through the point and parallel to the vector ,

Q: Find the equation for the line passing through and perpendicular to Hhe plane P= (!,2,-3)…

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Q: x = Vi, y = 3t + 4;

A: Given: x=t, y=3t+4; t≥0 For finding an equation in x and y, we put value oft=y-43 from second…

Q: D Question 6 Given two points A (8, 6) and B(-7,9). What must be the third point P(x, y) so that the…

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