As shown in Fig 1, the line with equation y= 2 - x cuts the curve...
Question 15 The curve with the equation y = 3x + 2x + 5 is shown below. (-1,0) 0 x The curve cuts the x axis at the point A(-1,0) and cuts the y axis at point 8 a) State the coordinates of Point B and hence find the area of the triangle AOB (3 marks) b) Find 3x5 + 2x + 5 dx (3 marks) c) Find the area of the shaded region bounded by the curve and the...
The shaded area shown below is bounded by the line x = 9 m on the left, the x-axis on top, and the curve y = (-18x + x2) m on the right. 9 m 18 m y=(-18 x + x) m -81 m Determine the coordinates of the centroid of the area in meters. m IX I m
The shaded area shown below is bounded by the line x - 9m on the left, the x-axis on top, and the curve y - (-18x + x2) m on the right. 9 m 18 m y=(-18x+x®) m -81 m Determine the coordinates of the centroid of the area in meters. m y = m Determine the coordinates of the centroid of the shaded area in millimeters. y 4 mm y = (0.9x* - 57.6 x) mm mm XI mm
The shaded area shown in (Figure 1) is bounded by x, y axes and the curve y2 2.25 - 0.5x m2, where x is in m. Suppose that a 4.5 m and h 1.5 m Part A Determine the moment of inertia for the shaded area about the z axis. Express your answer to three significant fig ures and include the appropriate units. Value Units Submit Request Answer Figure 1 of 1 Provide Feedback
The figure below shows a curve C, parametrized by (a) The point P lies on C, and its r-coordinate is 4. Find the value of t at the point P according to the parametrization, and find the y-coordinate of P. equation in terms of r and y. line 4. as shown shaded in the figure. Find the area of R. (b) The line is normal to C at the point P. Express the line l using an (c) The bounded...
005 10.0 points The shaded region shown in 2 sinht +--- 2 cosht is bounded by the x-axis, the upper half of the curve given parametrically by x(t) = 2 cosht, y(t) = 2 sinht, and the line x = 2 cosht. Find the area of this shaded region. 1. area = sinh 2t – 2t 2. area = 2(sinh 2t) – t 3. area = 2t 4. area = sinh 2t + 2t 5. area = sinh 2t +t
2. Up y = 3 – x2 curve is for the line bounded by the y = 3x - 1 line from the bottom and the Oy axis from the left, using the Oy axis to calculate the volume of the object
Please help!! Thanks 1. Consider the function f(x) e a) Find the length of the curve given by the equation y - f(x), -1 3x<1. b) Let R be the region bounded by the graph of f(x) and the lines 1,1 and y-0. Find the area of R. c) Find the coordinates of the center of mass of R. d) Consider the solid obtained by rotation of R about the r-axis. Find its volume and surface area. 1. Consider the...
An area is defined by two curves y = x and y = x2 as shown below. (a) (2 pt) Define vertical and horizontal infinitesimal elements. (b) (1 pt) Find the total area. (c) (2 pts) Calculate the x- and y-coordinates of the centroid C. (d) (2 pts) Calculate area moments of inertia about x and y axes (Ix and Iy) first. (e) (2 pts) Apply the parallel axis theorem to find area moments of inertia about the centroidal axis...
Suppose Good Y has a straight-line demand curve that cuts the price-axis at $600 and the quantity-axis at 180,000 units, and the supply curve has the equation of QSX = 1000P – 60,000. (a) Find the demand function. (Need to show steps) (b) What will be the equilibrium price and quantity for this market? (c) What is the elasticity of demand at the equilibrium point? (d) Based on the answer to (c), comment on whether the equilibrium point is profit-maximizing...