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#24. Explain (using proper mathematical reasoning) what is wrong with the statement below: For any function...
Multivariable Calculus Question 3. (2 pts) The contour diagram for a function, f(x, y) is shown below. Estimate the length of the gradient at point P. Be sure to show or explain your reasoning. 2.4 1.6 pe 0.8 0.8 1.6 2.4 24 1.60.80.8 16 24 2.4 3. (2 pts) The contour diagram for a function, f(x, y) is shown below. Estimate the length of the gradient at point P. Be sure to show or explain your reasoning. 2.4 1.6 pe...
A) Write the mathematical expressions using the switching function for the waveforms below. B) Test your expressions by plotting the waveforms from your expressions using mathematical software. (Include printouts with your homework.) X(t) 30+. 157 N 3 4 5 t[s] -30 1 2
(4) Using the intermediate value theorem, determine, if possible, whether the function f has at least one real zero between aandb. f(x)= 3x2 - 2x -11;a=2,6 = 3 (b) Graph the polynomial (a)P(x) = 2(x + 2)(x - 1)(x – 3)
3. In this problem we shall investigate the intermediate value theorem for derivatives. (a) Differentiate the function f(c)= sin ), 2 0 = 0,1=0 Show that f'(0) exists but that f' is not continuous at 0. Roughly sketch f' to see that nevertheless, f' doesn't seem to "skip any val- ues". Now let f be any function differentiable on (a, b) and let 21,22 € (a, b). Suppose f'(21) < 0 and f'(22) > 0. (b) By the Extreme Value...
Please help with this dynamics circuit analysis. Please show work and explain. Thank you!! 1. Consider the circuit shown below. Cl e, (0) c, e。(t) Find the transfer function below using time-domain and impedance methods. (a) Determine the differential equation for the relationship between eo(1) and e(1) (b) Find the transfer function E, (s)/E,(s) and determine the system time constant in terms of the circuit element values C, C, and R 17 2 (c) Find the transfer function E, (s)/E,...
Let s < t and let f:[s,t]→ℝ be a differentiable function. Suppose that f'(x) > 0 for all x Which of the following is correct? 1. Using the definition of the derivative, it follows that f(x)<f(a) for any x<a. 2. Using Rolle's Theorem, it follows that f is a continuous function. 3. Using the Mean Value Theorem, it follows that f(t)>f(s). 4. Using Rolle's Theorem, it follows that there is some x∈[s,t] such that f′(x)=0. 5. Using the Intermediate Value...
matlab The error function is a mathematical function that frequently arises in probability and statistics. It also can show up in the solution to some partial differential equations, particularly those arising in heat and mass transfer applications. The error function is defined as 2 e-t dt picture attached This function is actually built-in to MATLAB as the command erf, and here we'll use that function to compute a "true value" with which we can compare results of two interpolation approaches....
6. Following is a statement of a theorem which can be proven using calculus or precalculus mathematics. For this theorem, a, b, and c are real numbers. Theorem If f is a quadratic function of the form f (x) - ax2 + bx + c and a < 0, then the function f has a maximum value when x -b 2a Using only this theorem, what can be concluded about the functions given by the following formulas? (a) g (x)-8x2...
5. You are given the function 8 (x)=2x°-11x +10x+8. Use this information to answer each of the following questions. (a) List all the possible rational solutions to 8(x). (Hint): Make sure that you use the Theorem for Bounds! [6 points] (b) Bob makes the following statement: “Based on all the knowledge we've learned in this class, I believe that that 8(x) could have a total of 2 real solutions and I negative solution." Do you agree with Bob? State Yes...
Must be in Java. Show proper reasoning with step by step process. Comment on the code please and show proper indentation. Use simplicity. Must match the exact Output. CODE GIVEN: LineSegment.java LineSegmentTest.java Point.java public class Point { private double x, y; // x and y coordinates of point /** * Creates an instance of Point with the provided coordinates * @param inX the x coordinate * @param inY the y coordinate */ public Point (double inX, double inY) { this.x...