In Exercises 23-32, express each expanded form as a Hindu-Arabic numeral.

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Chapter 4 Solutions
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- - Problem 3: For a short time, the 300-kg roller-coaster car with passengers is traveling along the spiral track at a constant speed of v = 8 m/s with r = 15 m. If the track descends d = 6 m for every full revolution, 0 = 2π rad, determine the magnitudes of the components of force which the track exerts on the car in the r, 0, and z directions. Neglect the size of the car. Bonus: Develop a MATLAB program to solve for this problem.arrow_forwardLet f(x)=4excosxf'(x)=arrow_forwardThe graph of the function f in the figure below consists of line segments and a quarter of a circle. Let g be the function given by x g(x) = __ f (t)dt. Determine all values of a, if any, where g has a point of inflection on the open interval (-9, 9). 8 y 7 76 LO 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 ♡. -1 -2 3 -4 56 -5 -6 -7 -8 Graph of f 4 5 16 7 8 9 10arrow_forward
- pls helparrow_forwardThe areas of the regions bounded by the graph of the function f and the x-axis are labeled in the figure below. Let the function g be C defined by the equation g(x) = [* f(t)dt. What is the maximum value of the function g on the closed interval [-7, 8]? 17 y Graph of f 00 8 76 5 4 3 2 1 -10 -9 -8 -7 -6 -5 -4 -3-2-1 -2 702 4 1 21 3 4 568 -4 -5 --6 -7 -8 x 5 6 7 8 9 10 17arrow_forwardNo chatgpt pls will upvote Already got wrong chatgpt answerarrow_forward
- pls helparrow_forwardA tank holds a 135 gal solution of water and salt. Initially, the solution contains 21 lb of salt. A salt solution with a concentration of 3 lb of salt per gal begins flowing into the tank at the rate of 3 gal per minute. The solution in the tank also begins flowing out at a rate of 3 gal per minute. Let y be the amount of salt present in the tank at time t. (a) Find an expression for the amount of salt in the tank at any time. (b) How much salt is present after 51 minutes? (c) As time increases, what happens to the salt concentration?arrow_forwardpls helparrow_forward
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