Answer these problems please
Section 3.1: Problem 1 (1 point: Previous Problem Problem List Next Problem Find the domain of the following functions. Write the answer in interval notation. Note: If the answer includes more than one interval write the intervals separated by the "union" symbol, U. If needed enter 00 as inf and oo as 4m\" . (M1 _e= Domain: E] (B) 1 7t Domain: E] Problem 15 v Problem 16 At least one of the answers above is NOT correct. Problem 17 V The position of a particle moving on a horizontal line (where s is in feet to the right of a fixed reference point and t is in seconds after the start of the observation) is Problem 18 v Problem 19 V s(t) = t* - 12t + 24, t 2 0. Problem 20 Problem 21 / (A) Find the velocity, in feet per second, at time t: v(t) = 4t - 12 Problem 22 V Problem 23 v (B) Find the velocity (in ft/sec) of the particle at time t = 3. 96 Problem 24 V (C) Find all values of t for which the particle is at rest. (If there are no such values, enter none . If there are more than one value, list them separated by commas.) Problem 25 V t = Problem 26 3 Problem 27 Problem 28 (D) Use interval notation to indicate when the particle is moving in the positive direction. (If needed, enter inf for co. If the particle is never moving in the positive direction, enter none .) (38 , 20 (E) Find the total distance (in feet) traveled during the first 8 seconds. 31808 5Section 2.5: Problem 16 (1 point) Previous Problem Problem List Next Problem Suppose that f(I) = (3 - 3x) Find an equation for the tangent line to the graph of f at a = 2. Tangent line: y =Section 2.7: Problem 8 (1 point) Previous Problem Problem List Next Problem ATTEMPT NOT ACCEPTED -- Please submit answers again (or request new version if necessary). Water is leaking out of an inverted conical tank at a rate of 11600.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 15.0 meters and the diameter at the top is 5.5 meters. If the water level is rising at a rate of 30.0 centimeters per minute when the height of the water is 4.0 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. Note: Let "R" be the unknown rate at which water is being pumped in. Then you know that if V is volume of water, T, = R - 11600.0. Use geometry (similar triangles?) to find the relationship between the height of the water and the volume of the water at any given time. Recall that the volume of a cone with base radius r and height h is given by = mr h.Section 3.1: Problem 2 (1 point) Previous Problem Problem List Next Problem Find the limit. If needed, enter Inf for oo , - Inf for -oo or one if the limit does not esist. lim (1.016) I-100Section 3.1: Problem 3 {1 point: Previous Problem Problem List Next Problem Evaluate the following limits. If needed, enter inf for no , Inf for on or one if the limit does not eeiet. Section 3.1: Problem 4 (1 point) Previous Problem Problem List Next Problem Find the limit. If needed, enter Inf for oo , - Inf for -oo or one if the limit does not esist. lim e 81' T-100Section 3.1: Problem 5 (1 point) Previous Problem Problem List Next Problem Find the limit. If needed, enter Inf for oo , - Inf for -oo or one if the limit does not esist. 2+ 2(73) lim 9 - 9(77)Section 3.1: Problem 6 (1 point) Previous Problem Problem List Next Problem Find the limit. If needed, enter Inf for oo , - Inf for -oo or one if the limit does not esist. lim e cos (8x) T 100
