Numerical Methods
4th Edition
ISBN: 9780495114765
Author: J. Douglas Faires, BURDEN
Publisher: Cengage Learning
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define trapezoidal rule
Determine whether each of the following statements is true or false, and explain why Simpson’s rule usually gives a better approximation than the trapezoidal rule.
A baseball is hit from a height of 3.5 feet above the ground with an initial speed of a 110 feet per second and at the angle of 45ﾟ above the horizontal.( Assume the model of projectile motion with no air resistance and g=32 feet per second)
(a) find the max height reached by the baseball
(b)determin whether it will clear an 8 foot high fence located 375 feet from home plate
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- Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a orthocenter? b centroid?arrow_forwardThe diagram shows a small block B, of mass 0.2kg, and a particle P, of mass 0.5kg, which are attached to the ends of a light inextensible string. The string is taut and passes over a small smooth pulley fixed at the intersection of a horizontal surface and an inclined plane.The block can move on the horizontal surface, which is rough. The particle can move on the inclined plane, which is smooth and which makes an angle of θ with the horizontal where tanθ = 3/4The system is released from rest. In the first 0.4 seconds of the motion P moves 0.3m downthe plane and B does not reach the pulley.(a) Find the tension in the string during the first 0.4 seconds of the motion.(b) Calculate the coefficient of friction between B and the horizontal surface.arrow_forwardSolve using Trapezoidal Rulearrow_forward
- An angle with its vertex at the origin of an xy-coordinate plane and with initial side on the positive x-axis is in position_________arrow_forwardA suspension bridge with weight uniformily distributed along its length has twin towers that extend 80 meters above the road surface and are 1200 meters apart. The cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the cables at a point 300 meters from the center. (Assume the road is level)arrow_forwardShow the 2 SOLUTIONS using Simpson and Trapezoidal's Rule. Thanksarrow_forward
- Consider the problem of fitting a planez = ax + by + c to data: Please answer question a.arrow_forwardWhich of the following method has higher order? Composite Trapezoid Rule OR Composite Simpson's Rulearrow_forwardFind the minimum distance from the point (5, 0, 0) to the paraboloid z = x2 + y2. (Give your answer correct to 2 decimal places.)arrow_forward
- Find a parametrization of the curve. The vertical line passing through the point (3, 2, 0)arrow_forwardLine AB 100 mm long is 30 degree and 45degree inclined to HP & VP respectively. End A is 10 mm above HP and its VT is 20mm below HP. Draw projections and find HTarrow_forwardFind the points on the cone z2 = x2 + y2 that are closest to the point (2, 2, 0). (x, y, z) = (smaller z-value) (x, y, z) = (larger z-value)arrow_forward
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