Integrate g(x, y,z)equalsz over the parabolic cylinder yequalszsquared, 0less than or equalsxless than or equals2, 0less than or equalszless than or equalsstartfraction startroot 15 endroot over 2 endfraction . write the integral modifyingbelow integral from nothing to nothing integral from nothing to nothing with upper s upper g (x comma y comma z )d sigma as a double integral. modifyingbelow integral from nothing to nothing integral from nothing to nothing with upper s upper g (x comma y comma z )d sigmaequalsintegral from nothing to nothing integral from nothing to nothing nothing dz dx.

Following are the solution to the given expression:

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I gather you're supposed to compute the integral of over a surface that is the part of the parabolic cylinder with and .

We can parameterize by

with the given constraints on and . Take the normal vector to to be

so that the surface element is

Then in the integral, we have

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step-by-step explanation:

6x9

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1