Approximate the area under the graph of f(x) and above the x-axis using n rectangles.f(x) = 16 - x2 from x = -4 to x = 4; n = 2; use midpoints

A. 96
B. 32
C. 48
D. 8


Answer: A

Mathematics

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Solve the problem.The Van der Waals equation provides an approximate model for the behavior of real gases. The equation is P(V, T) =  - , where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the partial derivative of the function with respect to each variable.

A. PV = -  + ; PT = 
B. PV = ; PT =  - 
C. PV =  - ; PT = 
D. PV =  - ; PT = 

Mathematics

Provide an appropriate response.Explain why this sequence of steps is incorrect.log364?= log3 = log3 + log3

What will be an ideal response?

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The current, I, in an electrical circuit is found by dividing the voltage, V, by the resistance, R. Suppose the voltage and resistance vary with time as in the following equations.



Assume there are no zero denominators. Find a formula in terms of t that gives the current, I.

Mathematics

Evaluate.-2

A. - 
B. - 
C.
D.

Mathematics