Question 1 What is the domain of the function f(x) = 2ln(12x)? (0) (2) 12 (0,1)...
can someone please answer the questions that i have posted 2 hours ago. Thank you 1) Sketch the function (x) based on the following criteria: 20-points f(x) Domain: -00,0(0,) Points: (-4,0), (-12,-0.33) limo/(x)=0, limf(x) = 0 4(x2 +24x+ 72 9x(r+4)3 -x-12 f'(x) = 12 3x (x+4) f" (x) = We were unable to transcribe this image 1) Sketch the function (x) based on the following criteria: 20-points f(x) Domain: -00,0(0,) Points: (-4,0), (-12,-0.33) limo/(x)=0, limf(x) = 0 4(x2 +24x+ 72...
write each as a single logarithm 1/2ln(x2+1)-4ln1/2-1/2[ln(x-4)+ln x]
11) 11. Solve the following absolute value equation for x: 12x - 3) = 5 A) X= 4 B) x = -1 C) x €{-1,4) D) No Solutions E) None of the Above 12. Which of the following is a true statement about the following function: f(x) = 2*? A) (0,1), (1, 2), and (-1,5) are three points on the graph of f(x) B) The Range of f(x) is (-0,00) C) There is an x-intercept at (0,1) D) The Domain...
log(2 - 2) (x2 y Question 2. Consider the function f(x, y, (a) What is the maximal domain of f? (Write your answer in set notation.) (b) Find ▽f. (c) Find the tangent hyperplnes Te2)(r, y,z) and Tao2-)f(x, y, z). Find the intersection of these two hyperplanes, and very briefly describe the intersection in words (0,1, 1) and set notation. Confirm that the point (2, 2, 1) is on this level surface, and that Vf(2, 2, 1) is (d) On...
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. 8) log, x+log, (x -80)=2 A) (-1,811 B) 1-81 ) 1511 D) 191 Graph the function. 9) Use the graph of f(x)=e* to obtain the graph of g(x)=ex-3-1. Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions 10) logg...
Find f. f''(x) = – 2 + 24x – 12x, f(0) = 2, f'(0) = 12 f(x) = Preview
(a) Find the domain of the logaritmic function log5 ( x+1 x−1 ). Then what happen to the result when log5 ( x+1 x−c ) where c =7. (b) Solve by changing exponential statement 22x+1 = 8 to logarithmic statement. (c) Write logarithmic equation as a single logarithm log3 (x 2 − 1) − 3 log3 (x − 1)
= Q 6. Let f: {0,1} + {0,1} be a function given by f(0) = 0 = f(1). Find two (total) functions g: {0,1} +{0,1} and h: {0,1} +{0,1} such that fog #gof and foh= hof. Write out f and your chosen functions g and h in table form, using a single table. Only the table is required as the answer.
Question 7 5 pts each Write iterated integrals for each of the given calu lations. Do not evaluate. (A) The integral of f(x, )212y over the domain D: 2 y 20. (B) The integral of f(x, y, z) = 12x + 3 over the volume contained in the first octant and below the graph z 8-y 2 (C) The mass of an object occupying the region bounded between the sur faces x2 + y2 + Z2 = 16 and z...
real analysis II. Consider the function f:[0,1] - R defined by f(x) 0 if x E [0,1]\ Q and f(x) = 1/q if x = p/q in lowest terms. 1. Prove that f is discontinuous at every x E Qn [0,1]. 2. Prove that f is continuous at every x e [0,1] \ Q. II. Consider the function f:[0,1] - R defined by f(x) 0 if x E [0,1]\ Q and f(x) = 1/q if x = p/q in lowest...