Question QUESTION 6 Determine the maximum possible number of turning points for the graph of the function. f(x) = (x + 4)(x-6)(4x + 7) 4 3

1. Solve the following equations, and find (a) the general/complete solutions in radians, (b) restricted solutions in radians in \( [0,2 \pi] \), (c) the general/complete solutions in degrees, and (d) restricted solutions in degrees in \( \left[0^{\circ}, 360^{\circ}\right] \) : (i) \( \sin x=-\frac{\sqrt{2}}{2} \) (ii) \( \cos x=-\frac{1}{2} \) (iii) \( 1. Solve the following equations, and find (a) the general/complete solutions in radians, (b) restricted solutions in radians in \( [0,2 \pi] \), (c) the general/complete solutions in degrees, and (d) restricted solutions in degrees in \( \left[0^{\circ}, 360^{\circ}\right] \) : (i) \( \sin x=-\frac{\sqrt{2}}{2} \) (ii) \( \cos x=-\frac{1}{2} \) (iii) \( \tan x=-\frac{\sqrt{3}}{3} \) (iv) \( 3 \tan x+2=5 \) (v) \( 2 \sin \left(3 x-\frac{\pi}{4}\right)=\sqrt{3} \) (vi) \( 3 \cos \left(2 x-40^{\circ}\right)+1=-2 \)

The students can now conclude that: dc is divergent. In Planck's Radiation Law, we encounter the integral dx x5(ex – 1) + + 2e* 1+tse .00 of rolex - 1) Yx dec 2 е is convergent. dx sole - 1 1. Explain why a graph of the tangent line to et at t = 0 tells us that for all t. 1+t set X > 3 dx dc 25(e; - 1) < 3 oc dx 2. Substituting t = 1/x, show that for all x = 0 x’le1) x SUBMIT e1/– 1 > X 11 3. Use the comparison test to show that the original integral converges. ana 3a WP

A storage tower of height 30 m and diameter 3 m supplies water to a home. The horizontal pipe at the base of the tower has a diameter of 1 inch which delivers water at a rate of 180 liters per minute. A smaller pipe of diameter 0.5 inches supplies the third floor of the house at a distance 7 m above ground. What is the water pressure on this pipe? Neglect A storage tower of height 30 m and diameter 3 m supplies water to a home. The horizontal pipe at the base of the tower has a diameter of 1 inch which delivers water at a rate of 180 liters per minute. A smaller pipe of diameter 0.5 inches supplies the third floor of the house at a distance 7 m above ground. What is the water pressure on this pipe? Neglect the viscosity of the water. 2.2 atm 0.46 atm 0.23 atm 5 atm

The currents i and in in the circuit in (Figure 1) are 4 A and 3A respectively. The source voltages are Vg1 - 46 V and Vg2 = 52 V Figure 1 of 1 2Ω w Yg1 1380 4 Ω w 3800 ve h. 160 2Ω w Part A Find the power supplied by each voltage source Express your answers in watts using three significant figures separated by a comma. IVO AQ ΑΣΦ JT vec ? P46V. P52v = W Submit Request Answer Part B Find the total power dissipated in the resistors. Express your answer to three significant figures and include the appropriate units. НА ? Pdis Value Units

can you do it for iterrative deepning search using python language please Write a program to solve the 8-puzzle problem using the following search algorithms; • Breadth-first search • Uniform-cost search • Depth-first search • Iterative deepening search • Greedy Best Search • A* Search Test all the algorithms with at least 10 random inputs and calculate both the number of nodes expanded and the maximum number of nodes saved in the memory. Write a report giving the results of your experiments and make comments on the results. The problem. The 8-puzzle problem is a puzzle popularized by Sam Loyd in the 1870s. It is played on a 3-by-3 grid with 8 square blocks labeled 1 through 8 and a blank square. Your goal is to rearrange the blocks so that they are in order. You are permitted to slide blocks horizontally or vertically into the blank square. The following shows a sequence of legal moves from an initial board position (left) to the goal position (right), 013 1 0 3 1 2 3 1 2 3 1 2 3 4 25 => 4 2 5 => 405 => 4 50 => 4 5 6 7 86 7 86 78 6 7 8 6 7 80 initial goal You should submit your report in a paper format having the following sections. Introduction : Rationale behind the work, Problem definition, background, importance, assumptions, organization of the paper, Experimental Setup: How to perform the experiments, coding platform, input data, etc. Experimental Results: Screen shots, tables and figures of time/space complexity, etc. Discussion: Analysis of the results etc. Conclusion: Summary of the project, concluding remarks...

Two ideal polarizing sheets are stacked so that none of the incident unpolarized light is transmitted. A third polarizing sheet is slipped between the first two sheets such that 10 percent of incident light is transmitted through the stack. Find the angle of the third polarizing sheet. 19.6 degrees O 11.6 degrees 5.8 degrees 39.2 degrees Next