plz answer each of them thanks so much!
9.1 9.1.8 Exercises Not 1. Evaluate the function at the specified points. bec surf f(z, y) = y + zy, (2, -3), (3, -1), (-5, -2) limit At (2, 3): At (3, -1): At (-5. -2): 2. Sketch a contour diagram of each function. Then, decide whether its contours are predominantly lines, parabolas, ellipses, or hyperbolas. b. = = 2' + 2y C. = =y-31' d. = = -5x Make Interactive 5. Find the equation of the sphere centered at (-6, -4, -3) with radius 3. Normalize your equations so that the coefficient of a is 1. = 0. Give an equation which describes the intersection of this sphere with the plane = = -2. = 0. Make Interactive 9. For each surface, decide whether it could be a bowl, a plate, or neither. Consider a plate to be any fairly flat surface and a bowl to be anything that could hold water, assuming the positive z-axis is up. a. = =1-2 Crlyle 5 Plot in geogebra d. = =-V4-2-y images in the th e. = =1 Make Interactive 17. Consider the function A defined by h(z, y) = 8 - V4- a" - y'. a. What is the domain of h? (Hint: describe a set of ordered pairs in the plane by explaining their relationship relative to a key circle.) b. The range of a function is the set of all outputs the function generates, Given that the range of the square root function g(t) = v is the set of all nonnegative real numbers, what do you think is the range of &? Why? c. Choose 4 different values from the range of h and plot the corresponding level curves in the plane. What is the shape of a typical level curve? d. Choose 5 different values of a (including at least one negative value and zero), and sketch the corresponding traces of the function h. e. Choose 5 different values of y (including at least one negative value and zero), and sketch the corresponding traces of the function h. f. Sketch an overall picture of the surface generated by h and write at least one sentence to describe how the surface appears visually. Does the surface remind you of a familiar physical structure in nature