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stich3 [128]
3 years ago
14

The Figure Shows a curve C and a contour map of a function whose gradient is continuous. Integral in region C Nabla F dot dr

Mathematics
2 answers:
Digiron [165]3 years ago
7 0
Given figures along the curve of C are: 10, 20, 30, 40, 50

∫c  Nabla f * dr ⇒ f(B)−f(A)= 50 − 10 = 40
Alla [95]3 years ago
4 0

Answer:

The value of \int _C\bigtriangledown f\cdot dr is 40.

Step-by-step explanation:

It is given that the gradient of function is continuous.

By fundamental theorem for line integrals,

\int _C\bigtriangledown f\cdot dr=f(Q)-f(P)

Where, C starts from P and end at the point Q.

We have to find the value of \int _C\bigtriangledown f\cdot dr.

The function is defined from contour line 10 to contour line 50.

\int _C\bigtriangledown f\cdot dr=50-10

\int _C\bigtriangledown f\cdot dr=40

Therefore the value of \int _C\bigtriangledown f\cdot dr is 40.

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