Analytic Functions and Closed Contours
Please see the attached file for the fully formatted problems.
Please see the attached file for the fully formatted problems.
1. lim (as x approaches infinite) of (2^x)/(3^x) 2. lim (as x approaches infinite) of ln(lnx)/xlnx (See attachment for full questions)
1. Prove that any function f: Natural Nos. --> R is continuous (N --> R). 2. Prove that if a function f: I --> R is continuous and I is an interval then the image f(I) is an interval.
Find the points of intersection algebraically of the graphs of the equations y= x^2-3x+4, and 2x-2y= -8
Find the domain and range of the function f(x) = sqrt(5 - 3x) + 3.
Find x and y intercepts of the equation algebraically y=6x^2+7x-5
Write the equation of the line that passes through points (4,-1) and (-1,9).
Find the points of intersection algebraically of the graphs of the equations y=x^2-3x+4, and 2x-2y=8
Please see the attached file for the fully formatted problems. 1. Find a linear function perpendicular to the function y= -5x + 12 at the point (2,5) in standard form, point slope form, and slope-intercept form. The orginal line is y = -5x + 12 (slope is -5), so the perpindicular line will be y = 1/5x + ? 5 = (1/5)2 + ?.
7. Let a function f (z) be a analytic in a domain D. Prove that f (z) must be constant throughout D if (a) f (z) is real-valued for all z in D (b) | f (z) | is constant throughout D. (Question also included in attachment)
Please graph the following rational function and show all of the necessary work involved: x^2 + x - 2/ 2x^2 + 1
Consider the following rational function: x^2-4/ x - 1 Now graph this function.
Rectagular coordinates of a particular point are x=7, y= negative 24. find the polar coordinates of the point
Please see the attached file for the fully formatted problem. 71. 14b. Given the wff .... Show that W is true for any interpretation whose domain has two elements.
Consider the planes 1x + 4y +3z = 1 and 1x + 3z = 0 (C) find a vector equation for the line of intersection of the two planes, ? i + 1/4 j + ? k
Consider the planes 1x + 4y +3z = 1 and 1x + 3z = 0 (A) Find the unique point P on the y-axis which is on both planes. (0,1/4 ,0 ) (B) Find a unit vector with positive first coordinate that is parallel to both planes. .94869 i + 0 j + -.3162 k (C) Use parts (A) and (B) to find a vector equation for the line
Consider the planes 1x + 4y +3z = 1 and 1x + 3z = 0 (A) Find the unique point P on the y-axis which is on both planes. (0,1/4 ,0 ) (B) Find a unit vector with positive first coordinate that is parallel to both planes. .94869 i + 0 j + -.3162 k (C) Use parts (A) and (B) to find a vector equation for the line of
A) Find the parametric equations for the line through the point P = (3, -4, 0) that is perpendicular to the plane 2x + 0y+ 5z = 1 Use "t" as your variable, t = 0 should correspond to P, and the velocity vector of the line should be the same as the standard normal vector of the plane. x = 3+2t y = -4 z = 5t (B) At what p
Find a vector equation for the line through the point P = (-4, -1, 1) and parallel to the vector v = (1, 4, 3). Assume r(0) = -4i -1j +1k and that v is the velocity vector of the line.
Let f(x) = {see attachment}. What is the area under the graph of f over the closed interval [-1,1]? **Please see attachment for multiple choice options. Thanks.
Given the function R(x) = X^2 + x -12 / X^2 - 4 1. Give the domain 2. Give the X - intercepts 3. Give the Y - intercepts 4. Does it have symmetry with respect to the Y-axis, the origin or neither? 5. Give the vertical asymptotes 6. Give the horizontal asymptotes 7. Graph the function by dividing the axis and te
9. A child has 12 blocks, of which 6 are black, 4 are red, 1 is white, and 1 is blue. If the child puts the blocks in a line, how many arrangements are possible?
What is the y coordinate of the point on the curve y = 2x^2 - 3x at which the slope of the tangent line is the same as that of the secant line between x = 1 and x = 2?
Let f(x) be differentiable for a < x < b. Which of the following statements must be true? A. f is increasing on (a,b) B. f is continuous on (a,b) C. f is bounded on [a,b] D. f is continuous on [a,b] E. f is decreasing on [a,b]
5. Let f be twice differentiable on (a,b). If g is an antiderivative of f" on (a,b), then then g ' (x) must equal : A. f(x) B. f(x) C. f"(x) D. f(x) + C, for some C not necessarily 0 E. f"(x) + C, for some C not necessarily 0
4. Let f(x) = g(x)/h(x), where g and h are continuous functions on the open interval (a,b). Which of the following statements is true for a < x < b? A. f is continuous at all x for which x is not zero. B. f is continuous at all x for which g(x) = 0. C. f is continuous at all x for which g(x) is not equal to zero. D. f is c
Compute the density function of the uniform random variable U^2. Make sure to show all work.
Suppose that for a particular person enrolled in a typing class, f(x)=55(x+1)/(x+8), for x greater than 0, where f(x) is the number of words per minute the person is able to type after x weeks of lessons. (A) What does f(x) approach as x increases? (B) Sketch a graph of the function f, including any vertical or hor
A company manufacturing surfboards has fixed costs of $300 per day and total costs of $5,100 per day at a daily output of 20 boards. (A) Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function. (B) The average cost per board for an output of x boar
Find the limit: lim as x approaches 0 of sin 4x/sin 6x Please provide a detailed explanation of what you are doing in each step of the problem. I am not looking for just an answer.....I would like to be able to do similar problems on my own afterwards! Thanks!