Given the integral: ∫ d x x 5 9 x 2 − 1 Identify the following in order to complete a trigonometric substitution: From the radical expression, what is a? What is u? What should the trig substitution be? [That is, complete the appropriate substitution: u = a ⋅ sin( θ ), a = a ⋅ tan( θ ), or u = a ⋅ sec( θ )] Do NOT compute the integral. Just identify the appropriate substitution.
10. Find the radius and interval of convergence of the power series (-3)"X" Vn+
Evaluate the surface integral s«w.vz) as where f(x, y, z) = x - y - zand o is the portion of the plane x + y = 1 in the first octant between 2 = 2 and 2 = 3. Enter the exact answer. f(x, y, z) ds = ? Edit 46.9.2) ds =
3) (1 point) The (1-a) 100% confidence interval of μ is x-za/2o/Vn < μ x + za/2σ/ Show that, the rejection of Ho is equivalent to μ0 is outside of the above confidence interval. 3) (1 point) The (1-a) 100% confidence interval of μ is x-za/2o/Vn
Chapter 5, Review Exercises, Question 013 x Evaluate the integral ✓ dx by making the substitution u = x - 6. (1x2 - 6x4 - 12x2 Enter the exact answer. Ir-ore- dx = ? Edit +C (x2 - 6V4 – 12x2
Chapter 7, Section 7.8, Question 009 x Incorrect. Evaluate the integral if it converges. Enter the exact answer, or enter na if it diverges. Edit 1-oo (5x - 63 SHOW HINT
X] Incorrect. a. CH2CH=CHCH3 + H20 HO -CH₃ Edit x Incorrect. Η M + H2O HO -CH₃ Edit
QUESTION 1 Vn n Yn Define L: R"X" → R"X" by L(A)=2A , Ais matrix ER"X" Prove that L is linear operator. Attach File Browse My Computer
Find the radius of convergence, R, of the series. 0 (-1)"x" Σ Vn n = 1 R = 1 Find the interval, I, of convergence of the series. (Enter your answer using interval nota I = (-1,1) X
Identify the integral used to determine the surface area of the surface of revolution for the shape described Byy=3 sin() +3, where 0sxsrevolved about the x-axis. ° 675,* (sin(ž) /1+cos?(łJdx © 205,* (sin(?) / 1+cos ( Jax ® 615,*(sum() + 1)/2+cos( © 608,5 (sin(5) + 1) /1-cos?(łJax