EXPLORING CONCEPTS
Comparing Antiderivatives In Exercises 51 and 52, show that the antiderivatives are equivalent.
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Calculus: Early Transcendental Functions
- Average temperature Consider a block of a conducting material occupyingthe region D = {(x, y, z): 0 ≤ x ≤ 2, 0 ≤ y ≤ 2, 0 ≤ z ≤ 1}.Due to heat sources on its boundaries, the temperature in the block is given by T(x, y, z) = 250xy sin πz. Find the average temperature of the block.arrow_forwardEQUATIONS REDUCIBLE TO EXACT EQUATIONS RULE 1 dx/dy = (x/y)2+(x/y)arrow_forward39. Find the antiderivative: Hint: use integration by parts ( |udv= uv-|vdu ) | represents the antiderivative signarrow_forward
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage