Consider the function f(x) = x on the interval [2,5] with the partition {2, 2.5, 3,...

   

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Consider the function f(x) = x² on the interval [2,5] with the partition {2, 2.5, 3, 3.5, 4, 4.5, 5}. Instructions: A. First match the following terms with their correct mathematical symbols. B. Then classify each mathematical symbol as an OVERestimate, UNDERestimate, or EXACT computation of the area between f(x) = x² and the x-axis. Mathematical Term Limit of Riemann Sum Midpoint Riemann Sum Definite Integral Right Riemann Sum Left Riemann Sum Classify as Mathematical Symbol OVER/UNDER/EXACT lim 72+00 3 512 -+ 22 i 2+- 7 i ·+· ¹4 2 72 i x²dx 2 3i 2+- n 12. Again consider the function f(x) = x² on the interval [2,5]. Instructions: A. First match the following terms with their correct mathematical symbols. B. Then classify each mathematical symbol as an OVERestimate, UNDERestimate, or EXACT computation. Mathematical Term Surface Area Integral Area Integral Arc-Length Riemann Sum Volume Integral Arc-Length Integral Classify as Mathematical Symbol OVER/UNDER/EXACT 2 √1+4x² dx 5 [x² dx 27x²√√1+4x² dx x² dx 2 12 √1+4(2+1/4)² (1/4) Suppose f(x) = x on the interval [0,h] is revolved around the x-axis. Supposer and h are fixed numbers. Find the volume of the resulting cone. For the following exercise, draw the region bounded by the curves. Then, find the volume when the region is rotated around the y-axis. 1 =4 --x, x = 0, and y = 0 Consider the function f(x) = x² on the interval [2,5] with the partition {2, 2.5, 3, 3.5, 4, 4.5, 5}. Instructions: A. First match the following terms with their correct mathematical symbols. B. Then classify each mathematical symbol as an OVERestimate, UNDERestimate, or EXACT computation of the area between f(x) = x² and the x-axis. Mathematical Term Limit of Riemann Sum Midpoint Riemann Sum Definite Integral Right Riemann Sum Left Riemann Sum Classify as Mathematical Symbol OVER/UNDER/EXACT lim 72+00 3 512 -+ 22 i 2+- 7 i ·+· ¹4 2 72 i x²dx 2 3i 2+- n 12. Again consider the function f(x) = x² on the interval [2,5]. Instructions: A. First match the following terms with their correct mathematical symbols. B. Then classify each mathematical symbol as an OVERestimate, UNDERestimate, or EXACT computation. Mathematical Term Surface Area Integral Area Integral Arc-Length Riemann Sum Volume Integral Arc-Length Integral Classify as Mathematical Symbol OVER/UNDER/EXACT 2 √1+4x² dx 5 [x² dx 27x²√√1+4x² dx x² dx 2 12 √1+4(2+1/4)² (1/4) Suppose f(x) = x on the interval [0,h] is revolved around the x-axis. Supposer and h are fixed numbers. Find the volume of the resulting cone. For the following exercise, draw the region bounded by the curves. Then, find the volume when the region is rotated around the y-axis. 1 =4 --x, x = 0, and y = 0