Does the series below converge or diverge? Give a reason for your answer. (When checking your answer, remember there may be more than one way to determine the series' convergence or divergence and briefly state why you chose the test you performed and the result of the test.)
Q: lim x→-4 x2-16/x+4
A: The given function is f(x)= (x2-16)/(x+4)The limit of the function is to be calculated
Q: Compute the directional derivative of g(x,y)=sin(pi(5x-5y)) at point P(1,-3) in the direction (15/17...
A: Firstly, we calculate unit vector in direction of vector u.
Q: Help in #1 please.
A: Given information:The parametric equation is
Q: how to find Find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ 7π/4
A: The polar curve I given as, r = θ2, 0 ≤ θ ≤ 7π/4.The formula to calculate the exact length of th...
Q: Find the exact value of log10(15/4)+log10(4000/15)
A: Given information:The given expression is
Q: Hello, I am having trouble in finding the difference between these equations to find the solutions....
A: Consider the provided trigonometry equation.
Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by th...
A: (d) First draw the graph of y = x + 6 and y = x2.Find the intersection points as,
Q: how do i get number 3
A: Expanded the expression of f(x) first then used the exponent rule to find the derivatives.
Q: #28 please
A: The given function of hyperbola can be written in terms of y as: Plugging this value in the objectiv...