Solve the problem.What can be said about the flux of F =  across a sphere centered at the origin? Will differing radii change the flux?

What will be an ideal response?


The flux is independent of the radius. Flux is equal to 4?.

Mathematics

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Factor.64s3 + 1

A. (4s + 1)(16s2 - 4s + 1) B. (4s + 1)(16s2 + 1) C. (4s - 1)(16s2 + 4s + 1) D. (64s + 1)(s2 - 4s + 1)

Mathematics

Express the integrand as a sum of partial fractions and evaluate the integral.

A. 2 ln  +  tan-1  + C
B. 2 ln  + tan-1  + C
C. 2 ln  +  tan-1  + C
D. ln  +  tan-1  + C

Mathematics

Determine whether the algebraic expression is a polynomial (Yes or No). If it is a polynomial, write the polynomial in standard form, determine the degree and state if it is a monomial, binomial, or trinomial. If it is a polynomial with more than 3 terms, identify the expression as a polynomial.7m4n4 + 6mn9 - 3

A. yes; 6mn9 + 7m4n4 - 3; degree 10; trinomial B. yes; 7m4n4 + 6mn9 - 3; degree 18; trinomial C. no D. yes; 6mn9 + 7m4n4 - 3; degree 9; polynomial

Mathematics

Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. Please give the answer to four decimal places. ? ?

A. By trapezoidal rule 1.0271, by Simpson's rule 1.1893 B. By trapezoidal rule 0.9083, by Simpson's rule 0.7109 C. By trapezoidal rule 1.1902, by Simpson's rule 1.1677 D. By trapezoidal rule 0.8126, by Simpson's rule 0.5496 E. By trapezoidal rule 1.4060, by Simpson's rule 0.7978

Mathematics