Provide an appropriate response.Let f(x) = 3x5 - 10x4 + 7x. Determine the intervals on which f is (a) concave up and (b) concave down. (c) Find the x-values of all inflection points.
What will be an ideal response?
| (a) | (2, ?) | (b) | (-?, 0) and (0, 2) | (c) | 2 |
Mathematics
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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = 5xi + 5yj + 5zk , S is the surface of the sphere x2 + y2 + z2 = 1 in the first octant, direction away from the origin
A. 0
B. 
?
C. 
?
D. 
?
Mathematics
Solve the problem.A cylinder is to be made so that its volume is equal to that of a sphere with a radius of 3 inches. If a cylinder is to have a height of 9 inches, find its radius.
A. 1.5 in.
B. 2
in.
C. 2 in.
D. 
in.
Mathematics
Write the complex number in rectangular form.3
A. 
+ 
i
B. 
+ 
i
C. 
+ i
D. 
+ 
i
Mathematics
Graph the function.f(x) = x3 + 2x2 - x - 2
A. 
B. 
C. 
D. 
Mathematics