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verify that the given two-parameter family of functions is the general solution of the nonhomogeneous differential equation on the indicated interval.
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- X1+iy,=x,+iy2* X =X X =Y10 ュー,○ 2Zeros of the equationSuppose you are climbing a hill whose shape is given by the equation z = 1,300 − 0.005x2 − 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (80, 80, 1204). The positive x-axis points east and the positive y-axis points north.
- Find y' for y = 8x³ + 5x² − 7x + 4 A) 24x + 5 C) 83x² + 52x - 7x B) 3x² + 2x-11 D) 24x² + 10x - 7ду Find ду and when az (a) y = 6 + 3x + 16z + 4x² + 2z2 (b) y = 14x'z? (c) y = 9 +4xz - 3x23 %3D %3D %3D Z.Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x² -0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1966). 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? 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 Odescend At what rate? (Round your answer to two decimal places.) vertical meters per horizontal meter (c) In which direction. 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.) 0