Find the slope of the line that passes through the given two points. If the slope is undefined, state this.(6, 5) and (11, -2)
A. - 
B. 
C. Undefined
D. 0
Answer: A
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Evaluate the function for the given values of a and b. Then use the intermediate value theorem to determine which of the statements below is true.a = 0, b = 5f(x) = x3 + 3x2 + 6x + 4
A. f(0) and f(5) have opposite signs, therefore f does not have a real zero between 0 and 5. B. f(0) and f(5) have the same sign, therefore the intermediate value theorem cannot be used to determine whether f has a real zero between 0 and 5. C. f(0) and f(5) have opposite signs, therefore f has a real zero between 0 and 5. D. f(0) and f(5) have the same sign, therefore f does not have a real zero between 0 and 5.
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?
Solve the problem.The velocity of a fluid flowing out of a tank through a small opening d ft below the surface is given by the expression 
. Simplify the expression.
A. 
B. 
C. 
D. 
Solve the problem.Find the moment of inertia Iy of the region of constant density 
bounded by the paraboloid 
and the xy-plane.
A. 
?
B. 4842018?
C. 
?
D. 
?