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Suppose a vector function F(x, y) = 3xi + 2xyj + y ln z k moves along a path C where x = t², y = t + 2, and z = 1+ t starting from x = 9 and ending up with x = 36, determine the work by the vector function. C. 4856681087 work units D. 2715.4106 work units A. Diverging B. 167402.6475 work units

Suppose a vector function F(x, y) = 3xi + 2xyj + y ln z k moves along a path C where x = t², y = t + 2, and z = 1+ t starting from x = 9 and ending up with x = 36, determine the work by the vector function. C. 4856681087 work units D. 2715.4106 work units A. Diverging B. 167402.6475 work units

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Integral Calculus

Suppose a vector function F(x, y) = 3xi + 2xyj +y ln zk moves along a path C where x = t2, y = t+ 2, and z = 1+t starting from x = 9 and ending up with x = 36, determine the work by the vector function. A. Diverging C. 4856681087 work units B. 167402.6475 work units D. 2715.4106 work units If a vector function v(t) = (t, In t , t¯²) is given for a scalar function Ø = x In z + Jy – cos(x + 1) from t = 3 to t = 2n, determine the line integral. A. -46.0051 sq. units B. Diverging C. 49.0271 units sq. units D. -9.3813 sq.
Transcribed Image Text:Suppose a vector function F(x, y) = 3xi + 2xyj +y ln zk moves along a path C where x = t2, y = t+ 2, and z = 1+t starting from x = 9 and ending up with x = 36, determine the work by the vector function. A. Diverging C. 4856681087 work units B. 167402.6475 work units D. 2715.4106 work units If a vector function v(t) = (t, In t , t¯²) is given for a scalar function Ø = x In z + Jy – cos(x + 1) from t = 3 to t = 2n, determine the line integral. A. -46.0051 sq. units B. Diverging C. 49.0271 units sq. units D. -9.3813 sq.
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