12 Verify the invariance relation (do)" = d(o*) when ω=x dy dz and Tis the transformation 12 Verify the invariance relation (do)" = d(o*) when ω=x dy dz and Tis the transformation
evaluale the iterated internal g 1 2 V4-22 - dy dz dy X + D
Do not evaluate, rewrite the integral using spherical coordinates 25-x² - y2 1 dz dx dy 05 NUS y=0 X-O Z=o
If y = e"In(x), then 1 de dy =e( + ln(x)) + dz true O false
must be in the order of dx dy dz 2. ONLY Find the limits when DV is written as dx dy dz (the integration has to be done in this order). SSS, f (x,y,z)dV where f(x, y, z) = 1 – x and D is the solid that lies in the first octant and below the plane 3x + 2y + z = 6.
10) Calculate the integral zdac dy dz where D is bounded by the planes x = - 0, y = 0, z = 0, z = 1, and the cylinder x2 + y2 = 1 with x > 0 and y> 0. 11) Let y be the boundary of the rectangle with sides x = 1, y = 2, x = 3 and y = 3. Use Green's theorem to evaluate the following integral 2y + sina 1+2 1 +...
DO NOT use a calculator. Exact answers only, no decimals. 1. (10 pt each) Evaluate the following integrals: since) dz In(In(x b. dr c. cos(x)(sin(a)2 dz d.2tan (') dr 1. (10 pt each) Evaluate the following integrals: since) dz In(In(x b. dr c. cos(x)(sin(a)2 dz d.2tan (') dr
some help please o D. go Given y=f(u) and u = g(x), find dy/dx = f(g(x))g'(x). y = sin u, u = 2x + 12 Select one: A. 2 cos (2x + 12) B. cos (2x + 12) C. - 2 cos (2x + 12) D. - cos (2x + 12)
If x = y3 – y and d. dt dy 5, then what is when dt 2= -1? Explain how you arrive at your answer.
(1 point) Convert the integral 4/12 16-Y 1=f* pv T x** de dy 2P+8yº do dy to polar coordinates, getting DB Sº Lºn(,0) dr do, where h(t,0) = A= and then evaluate the resulting integral to get
I know the answer of a and b but I don't know hoe to do c dy a) Find- if y = ax +b cx+d b) By using changes of variable of the form (*) show that: dx=-in 3--In 2 4 c) Using the ideas from part a) and b) to evaluate the integrals: r2+3x +12 In dx and In o (x + 3)2 (x + 3)2 dy a) Find- if y = ax +b cx+d b) By using changes...