Problem 1P Problem 2P: For the function y=x4ex, calculate the value of y for the following values of x using... Problem 3P: For the function y=(x+yx+3)(1+2x2)x3 , calculate the value of y for the following values of x using... Problem 4P: For the function y=4sinx+6(cos2x+sinx)2 , calcutate the value of y for the following values of... Problem 5P: The radius, r, of a sphere can be calculated from its volume, V by: r=34V3 The surface area of a... Problem 6P Problem 7P: The remaining loan balance, B, of a fixed payment n years mortgage after x years is given by:... Problem 8P Problem 9P Problem 10P: The angle between two vectors u1=x1i+y1j+z1k and u2=x2i+y2j+z2k can be determined by... Problem 11P: The following vector is defined in MATLAB: d=[2 4 3] By hand (pencil and paper) write what will be... Problem 12P: The following two vectors are defined in MATLAB: v=[3 -1 2] , u=[6 4 -3] By hand (pencil and paper)... Problem 13P: Define the vector v= [1 3 5 7]. Then use the vector in a mathematical expression to create the... Problem 14P: Define the vector v=[5 4 3 2]. Then use the vector in a mathematical expression to create the... Problem 15P: Define x and y as the vectors x= [0.5, 1, 1.5, 2, 2.5] kind y= [0.8, 1.6, 2.4, 3.2, 4.0]. Then use... Problem 16P: Define r and s as scalars r = 1.6 × 103 and s = 14.2 and, t, x, and y as vectors t= [1, 2, 3, 4, 5],... Problem 17P: The area of a triangle ABC can be calculated by rABrAC/2 , where rABand rACare vectors connecting... Problem 18P Problem 19P: The center of mass, ( x , y, z). of n particles can be calculated by: x=i=1i=nmixii=1i=nmi ,... Problem 20P Problem 21P: The maximum distance s and the maximum height h that a projectile shot at an angle are given by:... Problem 22P: Use MATLAB to show that the sum of the infinite series n=11n2 converges to p2/6. Do this by... Problem 23P: Use MATLAB to show that the sum of the infinite series n=1n22n converges to 6. Do this by computing... Problem 24P: The natural exponential function can be expressed by ex=n=0xnn! . Determine e2by calculating the sum... Problem 25P: Show that limx/3sin(x/3)4cos2x1=36 . Do this by first creating a vector x that has the elements... Problem 26P: Show that limx05sin(6x)4x=7.5. Do this by first creating a vector x that has the elements 1.0, 0.1,... Problem 27P: The Hazen Williams equation can be used to calculate the pressure drop, Pd(psi/ft of pipe) in pipes... Problem 28P: The monthly lease payment. Pmt, of a new car can be calculated by:... Problem 29P: Create the following three matrices: A= 537206489 B321687440 = C983175336 = a) Calculate, A + B and... Problem 30P: Use the matrics A, B, and C from the previous problem to answer the following: (a) Does A*B=B*A? (b)... Problem 31P: Create a 33 matrix A having random integer values between I and 5. Call the matrix A and, using... Problem 32P: The magic square is an arrangement of numbers in a square grid in such a way that the sum of the... Problem 33P: Solve the following system of three linear equations: 2x+5y+7z=17.5 3x6y+2z=40.69x3y+8z=56.2 Problem 34P: Solve the following system of six linear equations:... Problem 35P: A football stadium has 100.000 seats. In a game with full capacity people with the following ticket... Problem 36P: A food company manufactures five types of 8-oz trail mix packages using different mixtures of... Problem 37P: The electrical circuit shown consists of resistors and voltage sources. Determine i1,i2,i3and i4,... format_list_bulleted