Consider the function given by f ( x ) = { − x 2 + 2 , for x < 1 4 , for 1 ≤ x < 2 , 1 2 x , for x ≥ 2. a. Find f ( − 1 ) , f ( 1.5 ) , and f ( 6 ) . [ R .2 ] b. Graph the function. [ R .2 ]
Consider the function given by f ( x ) = { − x 2 + 2 , for x < 1 4 , for 1 ≤ x < 2 , 1 2 x , for x ≥ 2. a. Find f ( − 1 ) , f ( 1.5 ) , and f ( 6 ) . [ R .2 ] b. Graph the function. [ R .2 ]
Solution Summary: The author analyzes the function f(x)=c.
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
The correct answer is C,i know that we need to use stokes theorem and parametrize the equations then write the equation F with respect to the curve but i cant seem to find a way to do it, the integral should be from 0 to 2pi but i might be wrongcould you show me the steps to get to 18pi
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