. Consider point (a, b) on the graph of y = Inx and triangle ABC formed by the tangent line at (a, b), the y-axis, and the line y = b. Show that (area triangle ABC) = y = In x (a, b) в, A

Q: Sketch the triangle with vertices O, P = (0,7, 3) and Q = (7,4,0) and compute its area using cross…

A:

Q: the circle is the tangent to both x and y axis. A point on the circle is (2,1). Calculate the area…

A: This question is based on Circle.

Q: Let the triangle ABC and A ', B', C ', the intersections of the tangents to its circumscribed circle…

A:

Q: Find the coordinates of a rectangle with corner points at A: (2,4), B:(2,8), C: (5,8), and D: (5,4),…

A: We have to find co-ordinate after translating 6 units up and 2 units left

Q: Given the triangle ABC, let u= CA/2+ CB/3. (a) Explain why there is and is unique the point X on…

A: Explanation for part a) is correct and sufficient.  For unique point, two vectors intersect at a…

Q: Let l be a Poincare line and let P be a point not on l. Drop a perpendicular from P to l. Let Q be…

A: Given l is a Poincare line and a point P not on l. Drop a perpendicular from P to l. Let Q be the…

Q: If triangle ABC is reflected across the y=1, what will be the coordinates of B'? (2, 5) |(-4,3) (2,…

A: We have to reflect the point B(2,3) across the line y= 1 .

Q: angle at whih the para bola intersects. the pesitive x-axis.

A: Angle of intersection means angle between tangent at intersection point with x axis. dy/dx =…

Q: Compute ff, x²ydA,where Dis the triangle bounded by x = 2, y = 1, y = 1 –

A:

Q: Create the formula for circles with center on the line y = -x and passes through the origin

A: Introduction The equation of circle gives an algebraic approach to define a circle given its centre…

Q: Find the angle between the line given by ⟨x, y, z⟩ = ⟨2t, 3t, t⟩ and the y-axis exactly.

A:

Q: is the line through (1,1,1) perpendicular to the line through (2,3,4‚) and(3,−1,−8)?

A:

Q: Sketch the triangle with vertices O, P = (7, 0, 7) and Q = (3,0, 3) and compute its area using…

A: To find the area of the triangle using cross product method when it's vertices are given .

Q: 5) Find the distance between the pole and the point (r, 0) = (-1, ). %3D

A: A detailed solution is given below.

Q: A secant to two congruent circles, which is parallel to the line of centers OO', meets the first…

A:

Q: The area (in square units) between the curve defined by y = x³, the x-axis, and the lines x = -1 and…

A: