Provide an appropriate response.Consider the graphs of y = cos-1 x and y = sin-1 x. Does it make sense that the derivatives of these functions are opposites? Explain.
What will be an ideal response?
Yes, They both have domains -1 ? x ? 1. They have the same basic shape with opposite slopes. Since the slopes are opposites the derivatives will be opposites.
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Find the flux of the curl of field F through the shell S.F = x3i + 5xj + 2k; S is the upper hemisphere of x2 + y2 + z2 = 16
A. 16 B. 80? C. ? D. 16?
Solve the system of equations by elimination.2x + 36y = -272 9x + 6y = 24
A. (9, -9) B. (-6, 8) C. (-8, 8) D. (8, -8)
Solve the problem.A school has set aside a piece of their land to be restored as natural prairie land. Several student volunteers are asked to help plant seeds. Each student is assigned a square portion of land measuring 11 feet on a side. What is the total area each student has to plant?
A. A = 132 ft2 B. A = 44 ft2 C. A = 22 ft2 D. A = 121 ft2
Factor the polynomial as the difference of two squares or state that it is irreducible.x4 - 625
A. irreducible B. (x2 - 25)(x + 5)(x - 5) C. (x + 5)2(x - 5)2 D. (x2 + 25)(x + 5)(x - 5)