Calculus Answers

Evaluate the integral of f(x,y,z)=x+2y-z over the cylinder bounded by x2 +y2 =4 , z=0 and z=1 .

Find all polar coordinates of point P where P = (9,pi divided by 5).

Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°.

Use your grapher to determine which of the graphs matches the polar equation r = 4 cos 3θ.

Find the vertices and foci of the hyperbola with equation quantity x minus three squared divided by sixteen minus the quantity of y plus four squared divided by nine = 1

Find the indicated limit, if it exists.

limit of f of x as x approaches 8 where f of x equals x plus 10 when x is less than 8 and f of x equals 10 minus x when x is greater than or equal to 8

Use graphs and tables to find the limit and identify any vertical asymptotes of limit of 1 divided by the quantity x minus 5 as x approaches 5 from the left.

Find the indicated limit, if it exists.
limit of f of x as x approaches negative 10 where f of x equals negative 4 minus x when x is less than negative 10, 6 when x equals negative 10, and x plus 16 when x is greater than negative 10

Find the indicated limit, if it exists.

limit of f of x as x approaches 0 where f of x equals 5 x minus 8 when x is less than 0 and the absolute value of the quantity negative 4 minus x when x is greater than or equal to 0