Problem 1P Problem 2P: Calculate: 4125.22e5100.53 1323+ln5008 Problem 3P: Calculate: (a) 14.836.3213+52 (b) 452889.34.621065e1.5 Problem 4P: Calculate: 24.5+64/3.52+8.312.5376.428/15 5.922.42/3+log1012890e0.32 Problem 5P: Calculate: a. cos7x9+tan715sin15 b. sin280cos14sin8020.183 Problem 6P: Define the variable xas x = 6.7, then evaluate: a. 0.01x51.4x3+80x+16.7 b. x3+ex51/x Problem 7P: Define the variable tas t = 3.2, then evaluate: (a) 56t9.81t22 (b) 14e0.1tsin2t Problem 8P: Define the variables x and y as x = 5.1 and y = 4.2, then evaluate:... Problem 9P: Define the variables a, b, c, and d as: a=12,b=5.6,c=3ab2 , and d=abcc , then evaluate:... Problem 10P Problem 11P Problem 12P: Two trigonometric identities are given by: sin5x=5sinx20sin3x+16sin5x (b) sin2cos2x=1cos4x8 For each... Problem 13P: Two trigonometric identities are given by: (a)tan3x=3tanxtan3x13tan2x(b)cos4x=8cos4xcos2x+1 For each... Problem 14P: Define two variables: alpha=/6 , and beta=3/8 . Using these variables, show that the following... Problem 15P: Given: xsinaxdx=sinaxa2xcosaxa . Use MATLAB to calculate the following definite integral:... Problem 16P: In the triangle shown a=5.3in.,=42,andb=6 in. Define a, ,and bas variables, and then: (a) Calculate... Problem 17P: In the triangle shown a = 5 in., b = 7 in., and = 25°. Define a, b,and as variables, and then:... Problem 18P: In the ice cream cone shown, L = 4 in. and =35 . The cone is filled with ice cream such that the... Problem 19P Problem 20P: The parametric equations of a line in space are: x=x0+at,y=y0+bt,andz=z0+ct. The distance d from a... Problem 21P: The circumference of an ellipse can be approximated by: C=3a+b3a+ba+3b Calculate the circumference... Problem 22P: 315 people have to be transported using buses that have 37 seats. By typing one line (command) in... Problem 23P: 739 apples are to be packed and shipped such that 54 are placed in a box. By typing one line... Problem 24P: Assign the number 316,501.673 to a variable, and then calculate die following by typing one command:... Problem 25P Problem 26P Problem 27P Problem 28P Problem 29P Problem 30P Problem 31P: Radioactive decay of carbon-14 is used for estimating the age of organic material. The decay is... Problem 32P: The greatest common divisor is the largest positive integer that divides the numbers without a... Problem 33P: The Moment Magnitude Scale (MMS), denoted Mw, which measures the total energy released by an... Problem 34P Problem 35P Problem 36P: Newton’s law of cooling gives the temperature T(t) of an object at time tin terms of T0, its... Problem 37P: The stress intensity factor K predicts the stress state (stress intensity) near a crack tip. For a... Problem 38P Problem 39P: Use the Help Window to find a display format that displays the output as a ratio of integers. For... Problem 40P format_list_bulleted