13. Find the numbers x and y such that the point (x, y, 1) lies on...
The point (1, 10) is the center of a circle and (2, 3) lies on the circle. Find the equation of the line that coincides with the diameter of this circle. (a) (5 pts) Find the slope-intercept equation of the line passing through the two given points. Show work.
y 1/(1-x) 5. The point P(2,-1) lies on the curve C If Q is the point (x,1/(1-x), use your calculator to find the slope of the secant line PQ a. (correct to six decimal places) for the following values of x: 1.5 (ii) 1.9 (i) 1.99 (iv) 1.999 (v) 2.5 (vi) 2.1 (vii) 2.01 (vii) 2.001 Using the results of part (a), guess the value of the slope of the tangent line to the curve at P(2,-1) i. b. Using...
can you answer two of the questions in the phot please. 1. The point P(4. 8) lies on the curve y-(6-x), Suppose Q is the point (x,1 + (6-x)'). a. Find the slope of the secant line PO for the following values of x. 3. 3.99 4. 3.999 6. 4.1 7. 4.01 8. 4.001 the curve at P b. Use your results from part a to make a guess of the slope of the line tangent to c. Use your...
Question 3 a) Find the cartesian equation of the line that passes through the origin and lies perpen- (3 dicular to the plane 3x - 5y +2z 8. marks] b) Find the cartesian equation of the plane that lies perpendicular to the line 3 marks] and passes through the point 1 cExplain why a unique plane passing through the three points A(-2,-1,-4), B(0,-3,0) [2 marks) and C(2,-5,4) cannot be defined. Question 3 a) Find the cartesian equation of the line...
Help me solve this question asap 4 Th e centre of a circle lies on the line 3y-4x-11 and the circle intersects the y-axis at the points (0,-1) and (0,11) a) Find the equation of the circle. b) Find the possible values of λ such that the circle passes through the point 4 marks] 2 marks] c) Find the coordinates of the points where the circle meets the line y-x-11-0 [4 marks] 4 Th e centre of a circle lies...
1. If the point (3, k) lies on the line with slope m = −2 passing through the point (2, 5), find k. 2. Find the distance between the centroid and orthocenter of a right triangle with legs equal to 3cm and 4 cm.
1 - Find an equation of the vertical line that passes through (x, y) = (−10, 18). 2 - Find an equation of the line that passes through the point (−1, 6) and is parallel to the line passing through the points (−3, −5) and (1, 3). (Let x be the independent variable and y be the dependent variable.) 3 - Find an equation of the line that passes through the point (4, 3) and is perpendicular to the line...
A is the point (-1, 5). Let (x, y) be any point on the line y = 3x. a Write an equation in terms of x for the distance between (x, y) and A(-1,5). b Find the coordinates of the two points, B and C, on the line y = 3x which are a distance of √74 from (-1,5). c Find the equation of the line l1 that is perpendicular to y = 3x and goes through the point (-1,5). d Find the coordinates...
5. (a) Show that the point Q(1,0,0) lies in the plane x + y + z = 1 and the point P(1, -2,4) does not. (b) Find both the scalar and vector projections of the vector PQ onto the vector a = (1,1,1). (c) Use the scalar projection in (b) to find the distance from the point P(1, -2, 4) to the plane x+y+z=1.
13. (1 point) Let S be the part of the paraboloid 1 222y that lies above the plane 4 2y -z1. Find the surface area of S. 13. (1 point) Let S be the part of the paraboloid 1 222y that lies above the plane 4 2y -z1. Find the surface area of S.