For the function f(z) = 24/(64 + 26): i. Find the singular points of ƒ (2) and sketch them on the complex plane -2 -1 -1 1 1

Determine the functions of real and imaginary numbers of:f(z) = 8z + 4zz̅− 2i if z = 4x + iy

Find the equations of the tangent lines to the parabola -x² + 5x – 6 at its points of intersection with the x-axis.

Find all zeros of the function f(x) = 4x° + 28x? + 8x – 160. Enter the zeros separated by commas.

Determine whether x2 + 4y2 = 16 is symmetric respect to the x-axis, the y-axis, and/or the origin.

Find x so that the distance between (−4, 3) and (x, 1) is squareroot of 29. (Enter your answers as a comma-separated list.

Suppose you are climbing a hill whose shape is given by the equation z = 900 - 0.005x - 0.01y, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 866). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? O ascend O descend At what rate? vertical meters per horizontal meter (b) If you walk northwest, will you start to ascend or descend? O ascend O descend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction is the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.)

Determine the equation of the cubic function, in standard form, with roots ((-2+ √3i)/4), ((-2 - √3i)/4), and 1 which passes through the point (-3, -103).

The parabola y = Px² + Qx + R passes through the coordinate (1,1) and has roots at x = a and x = b. Determine the values of P, Q and R.