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Work Done
Find the work done in stretching the spring 1 foot.
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Find the double integral
Using Green's theorem find the work done by the force field;
F= (-16y+sinx^2)i +(4e^y +3x^2)j
Acting along the simple closed curve c
C=c1+c2+c3
C1- y=x, C2- x^2 + y^2=1, C3- y=-x. See the attached file.
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Integrals; Exact Value; Volume; Length (30 Problems)
37426 Integrals; Exact Value; Volume; Length (30 Problems) Please assist me with the 30 attached problems, including:
- Finding integral
- Finding exact value
- Finding volume
- Finding length.
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Integrals and Derivatives
D) Nothing, they are equally matched step by step.
21.What is the primary difference between using anti-differentiation when finding a definite versus an indefinite integral?
A) Indefinite integrals don't have defined limits.
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Gradient Vector Fields and Line Integrals
The line integral or the work done by the force is independent of the path for a gradient vector field. However, the two line integrals are different for this specific vector field. So it is not a gradient vector field.
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Evaluate the Integrals
keywords: finding, solve, solving, evaluate, evaluating, verify, verifying
keywords: integration, integrates, integrals, integrating, double, triple, multiple Please see the attached file for the complete solution.
Thanks for using BrainMass.
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Find the average value
First Mean Value Theorem for Integrals
c = -1.1547, 1.1547
c) Sketch the graph of f.
for finding y-intercept, put x = 0
Thus y = 4, y-intercept is (0, 4).
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Finding Integrals Using the Fundamental Theorem of Calculus
The Fundamental Theorem of Calculus is applied to finding integrals. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.
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Trigonometric Integrals
keywords: integration, integrates, integrals, integrating, double, triple, multiple
keywords : find, finding, calculating, calculate, determine, determining, verify, verifying, evaluate, evaluating, calculate, calculating, prove, proving Please see attached