Question 10 Set up the definite integral and evaluate the definite integral to determine the area...
This Set up the definite integral that gives the area of the shaded region. Do not evaluate the integral 1 3 2 1- The definite integrali so so
Set up and evaluate the definite integral for the area of the surface generated by revolving the curve about the y-axis. (Round your answer to three decimal places.) y = 1 − (x^2)/36 , 0 ≤ x ≤ 6
(5 points) Evaluate the definite integral by interpreting it in terms of signed area. 2x – 8 dx = Suggestion: Draw a picture of the region whose signed area is represented by the integral. Then find the signed area using formulas from high school geometry.
QUESTION 20 Evaluate the definite integral and interpret the result. 23 - 9x) dx O; the shaded area above the x-axis is equal to the shaded area below the x-axis. 9; the shaded area above the x-axis minus the shaded area below the x-axis equals 9. 81; the shaded area above the x-axis plus the shaded area below the x-axis equals 81. 81; the shaded area above the x-axis minus the shaded area below the X-axis equals 81
1. Set up, but do not evaluate, an integral to find the area enclosed by the x-axis and the [x = 1 + et curve ly = t-t2 2. {*5+?2t Osts2 y = VE (1) Find the equation of the tangent line at the point where t = (2) Set up, but do NOT evaluate, an integral to find the area of the surface obtained by rotating the curve about the y-axis. 3. Set up but do NOT evaluate an...
Set up the definite integral that gives the area of the region. Y1 = x2 + 2x + 2 h Y2 = 2x + 27 dx y2 35 30 y 25 y 20 15 10 5 -6 4 2 2 6 X
Use a definite Integral to find the area of the following region bounded by the given curve, the x-axis, and the given lines in each case, first sketch the region. Watch out for areas of regions that are below the x-axis yox?x-2.x=1 Choose the correct graph below. OA Oc OD OB 5 The total area of the region is (Type an integer or a fraction
questions d Compute the area of the shaded region below by answering the 0 1 a) Rewrite the curvels) using x as a function of y when it is necessary 2pts) -am b) Set up an integral to compute the area of the shaded region (do not evaluate the integral yet) 4pts
questions d Compute the area of the shaded region below by answering the 0 1 a) Rewrite the curvels) using x as a function of y when it...
Set up but do not evaluate an integral for the area of the region below the graph of y=1 x 2 + 1, above y = 1, over the interval [ 1 , ∞).
In exercise 3, set up and evaluate a double integral that represents the area of the region.