
2. (a) Find the area of the region bounded by the parabolas y 6z - 2 and y 22 (b) (Optional) Find the area of the region between the curves y2 and y - 22".. over the interval [0,2. 2 36 3. (Review) Evaluate the limit lim 4. (Review) A rectangle has its base on the z-axis and its two upper vertices on the curve y 5-x4. What is the largest area the rectangle can have?
2. (a) Find the...
Find the area under the curve: y = e3x from x = In 3 to x = ln 6. Simplify your answer and round to the nearest hundredth as needed.
Find the area of the region y that lies under the given curve y = f(x) over the indicated interval a <x<b. 2 Under y = 8x e over 0 < x < 2 2 over 0 < x < 2 is Round your answer to six decimal 2 The area under y = 8x e * places.
296. Area under a curve. The area of the region bounded by the curve y = (-2<x< 2), the x-axis, V4 - x4 V4- and the lines x = a and x = b(a < b) is given by sin - €) - sin-"). a. Find the exact area if a 1 and 1 b. Find the exact area if a = -V3 and 5 = vā.
Estimate the area under the curve of f (x) = x3 on [0,2] using 4 rectangles with the right endpoint method. 0 4.5 0 2.25 0 12.5 O 6.25
Find the area under the curve y = 25/x3 from x = 1 to x = t. Evaluate the area under the curve for t = 10, t = 100, and t = 1000. t = 10 t = 100 t = 1000 Find the total area under this curve for x > 1.
Use tables to find the area
under a Normal Curve!
Question 3 3 pts For a standard normal distribution, find the value of zo that satisfies P(z> Zo)- .1038. 1.26 0.26 0.26 0.27
7. Find the area under the curve y = x² +1 on the interval (1,2). a. 73 b.3 d. 4 e. 7
Find the area under the given curve over the indicated interval. y= x3; [0, 5) The area under the curve is (Simplify your answer.)
Find the area to the left of x=22 under a normal distribution curve with μ=32 and σ=6. Round your answer to four decimal places.