a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the graph of f at (a,f(a)) for the given value of a. f(x) = 2x, a= 1 ..... a. f'(a) =
Q: application with solution of linear equation
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- (Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a cylinder, this moment of inertia is given by this formula: J=mr2/2+m( l 2 +3r 2 )/12misthecylindersmass( kg).listhecylinderslength(m).risthecylindersradius(m). Using this formula, determine the units for the cylinder’s polar moment of inertia.7. For each of the following equations of lines in x-y coordinates, find the values of ‘p’ and ‘θ’ in the polar system given as: “p=xcos θ + ysin θ”: a) x=4 b) y=10 c) x=yGiven A = {1,2,3} and B={u,v}, determine. a. A X B b. B X B
- Give an example with solution of linear equation to the course of computer science.A triangle ABC having coordinates A(5,5), B(10,3), C(7,10) is to be scaled two times in x direction and three times in y direction with respect to point A. Find the new coordinates of triangle A’B’C’.Consider the function as given. (a) Use a computer algebra system to graph the function and use the graph to approximate the critical numbers visually. (b) Use a computer algebra system to find f′ and approximate the critical numbers. Are the results the same as the visual approximation in part (a)? Explain.
- 1. Determine the equation of the line through the given point (a) parallel and (b) perpendicular to the given line Given: Point: ( -1,-4) Line: 4x-2y=32. Heat conduction in a square plate Three sides of a rectangular plate (@ = 5 m, b = 4 m) are kept at a temperature of 0 C and one side is kept at a temperature C, as shown in the figure. Determine and plot the ; temperature distribution T(x, y) in the plate. The temperature distribution, T(x, y) in the plate can be determined by solving the two-dimensional heat equation. For the given boundary conditions T(x, y) can be expressed analytically by a Fourier series (Erwin Kreyszig, Advanced Engineering Mathematics, John Wiley and Sons, 1993):Show that F(x, y, z) = xy + xz + yz has the value 1 if and only if at least two of the variables x, y, and z havethe value 1.
- 13. Given two sine waves A and B, if the frequency of A is twice that of B, then the period of B is ________ that of A. a. one-half b. twice c. the same as d. indeterminate from((ABC)' +D+E)' Simplify using De Morgan's Theorem and construct both the original and simplified equation of the given function.1. Determine the equation of the line through the given point (a) parallel and (b) perpendicular to the given line Given: Point: ( -1,-4) Line: 4x-2y=3 2. Draw the line 4x-2y=3 and your answer for letter (a) in problem number 1 3. Draw the line 4x-2=3 and your answer for letter (b) in problem number 1 4. a2x-7ay+5a=0 Reduce the given equation to (a) intercept form (b) slope-intercept form A is the last two digit of your ID number, for example your ID number 20201000111, then (a) is 11 hence your equation would be 22x-77y+55=0