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Calculus

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Q: The displacement (in meters) of a particle moving in a straight line is given by the equation of mot...

A: Given,

Q: For the function f whose graph is given, state the following. lim f(x) (a) lim f(x) X o (b) lim f(x)...

A: (a) As x tends to infinity, please look at the rightmost part of the graph. The graph tends to run i...

Q: Find the limit using direct substitution. lim 3x+1/2-x x-->-2

A: In the direct substitution method, straight way substitute the limiting vailue of x in the given exp...

Q: Write the function Q = 2e(−0.5t) in the form Q = Q0at ______________________________. (round to fou...

A: To express the given exponential function in the required form

Q: #19

A: The given function is,

Q: Can you please help me step by step with this problem?

A: Using the differentiation formula. If u and v are two functions then,

Q: Let f(x, y) = (x2)/(x4+y). Show that Lim (x,y)→(0,0)f(x, y) does not exist.Hint: Consider y = kx2 fo...

A: The given function is

Q: hard

A: Consider the given table.

Q: #21

A: First apply chain rule. We derive the square on sec using exponent rule