Question

a. If (ln x)/x = (ln 2)/2, must x = 2?

b. If (ln x)/x = -2 ln 2, must x = 1/2?

Give reasons for your answers.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: The region in the first quadrant that is bounded above by the curve y = 1/sqrt(x), on the left by th...

A: Given,

Q: How do you simplify the expression cosx/1+sinx + 1+sin x/cosx and the expression tanx - sec2x/tanx

A: Given:[a]:

Q: A round underwater transmission cable consists of a core of copper wires surrounded by nonconducting...

A: Click to see the answer

Q: A 24-in.-by-36-in. sheet of cardboard is folded in half to form a 24-in.-by-18-in. rectangle as show...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: The viewing portion of the rectangular glass window in a typical fish tank at the New England Aquari...

A: Consider the given statement of the question,Since, the force on the window is proportional to the d...

Q: Sketch the area enclosed by the curves and find its area. y=cos2x y=0 x=pi/4 ×=pi/2

A: Given,

Q: How can you sometimes evaluate indefinite integrals by substitution? Give examples.

A: "Integration by Substitution" (also called "u-Substitution" or "The Reverse Chain Rule") is a method...

Q: Assume that a spring does not follow Hooke’s Law. Instead, the force required to stretch the spring ...

A: Click to see the answer

Q: find the volume  The solid lies between planes perpendicular to the x-axis at x = -1 and x = 1. The ...

A: First of all, consider the plot for x = -1, x = 1 and the equation of semicircles on x-y plane.

Q: A round hole of radius sqrt(3) ft is bored through the center of a solid sphere of a radius 2 ft. Fi...

A: A round hole of radius sqrt(3) ft is bored through the center of solid sphere of a radius 2 ft.

Q: find the volume of the solid generated by revolving the region about the given line. The region in t...

A: Click to see the answer

Q: Suppose that it costs a company y = a + bx dollars to pro-duce x units per week. It can sell x units...

A: Given the statement-Suppose that it costs a company y = a + bx dollars to pro-duce x units per week....

Q: Find the volume of the solid generated by revolving the region bounded by the parabola y2 = 4x and t...

A: Given information:

Q: Graph the given equation. 2x = 3

A: Click to see the answer

Q: Solve the initial value problems 1.dy/dx = 2x - 7, y(2) = 0    2. dy/dx = 10 - x, y(0) = -1

A: Click to see the answer

Q: find the center of mass of a thin plate of constant density d covering the given region. 1.The regio...

A: Click to see the answer

Q: find the center of mass of a thin plate of constant density d covering the given region. 1. The regi...

A: Given information:

Q: What roles do the functions ex and ln x play in growth comparisons?

A: Given:

Q: The length (in mm) of a larval insect specimen depends on the temperature (in Celsius) at which it w...

A: Given:

Q: Find the areas of the regions enclosed by the lines and curves in Exercises 87–94. 87. y = 2 sin x a...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Calculate the first derivatives of ƒ(x) = x2/(x2 + 1) and g(x) = -1/(x2 + 1). What can you conclude ...

A: Click to see the answer

Q: An excellent film with a very small advertising budget must depend largely on word-of-mouth advertis...

A: Given,

Q: Suppose that the position of a body moving along a coordinate line at time t is a. s = a cos kt + b ...

A: Part (a):Part (a):Given,Given,

Q: Find the area of the region between the curve y = 21-x and the interval -1<= x<= 1 of the x-ax...

A: Given:y = 21-x and the interval -1<= x<= 1 of the x-axis.

Q: Find the areas of the regions enclosed by the lines and curves  1. y = 7 - 2x2  and y = x2 + 4 2.y =...

A: Since we only answer up to 1 question, we’ll answer the first question. Please resubmit the question...

Q: Approximate the integral from pi to 0 of 5sinx dx using four equal subintervals.

A: Given:Approximate the integral into four subintervals.

Q: Sketch the region enclosed by the given curves. x = 9y2, x = 4 + 5y2 У y 1.0- 0.5 6. -0.5 o-1.0- -0....

A: Given curves are

Q: Suppose that you inherit $10,000. The will states how you must invest the money. Some​ (or all) of t...

A: given:

Q: Show that if k is a positive constant, then the area between the x-axis and one arch of the curve y ...

A: y = sin kx cuts the x axis at y=0. Solve for x.

Q: The marginal cost of printing a poster when x posters have been printed is dc/ dx =1/(2(sqrt(x)) dol...

A: It is given that, the marginal cost of printing a poster when (x) posters have been printed is

Q: Can I get with this problem step by step?

A: To find: -

Q: As a result of a heavy rain, the volume of water in a reservoir increased by 1400 acre-ft in 24 hour...

A: Given:The volume of the water in the reservoir is increased by  in 24 hours.Convert the time t =24 h...

Q: Use the Intermediate Value Theorem  to show that ƒ(x) = x3 + 2x - 4 has a root between x = 1 and x =...

A: To find: -

Q: Determine the area of the shaded region.

A: We have been given a bounded region, and equations for boundary curves are written on the graph. We ...

Q: The height H (ft) of a palm tree after growing for t years is given by H = sqrt(t + 1) + 5t^(1/3) fo...

A: (a)  Given,

Q: Suppose f(r)=1+3r^2. Evaluate the function for each of the following values of its argument: 1. with...

A: Find the function by substituting the given arguments.

Q: Can you conclude anything about the extreme values of a continu-ous function on an open interval? On...

A: Click to see the answer

Q: If ƒ′(x)<= 2 for all x, what is the most the values of ƒ can increase on [0, 6] ? Give reasons fo...

A: Given:

Q: How do you answer 31? Additionally? Why does a vertical asymptote cease to exist? What is a disconti...

A: Consider the provided function and simplify:

Q: Use Pappus’s Theorem for surface area and the fact that the sur-face area of a sphere of radius a is...

A: Click to see the answer

Q: y′ + y2 sin x = 0

A: To determine the solution of the differential equation.

Q: find the volumes of the solids generated by revolving the regions about the given axes. The region i...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: A square of side length s lies in a plane perpendicular to a line L. One vertex of the square lies o...

A: a) It is given that, the square of side lengths lies in a plane perpendicular to a line L. One verte...

Q: Find the relative minimum f(x,y)=288y2+x2-x2y

A: According to the given information it is requires to find the relative minimum of the function:

Q: Find the volume of the solid generated by revolving the “triangular” region bounded by the x-axis, t...

A: Given information:

Q: Find the approximate values of r1 through r4 in the factorization. 8x4 - 14x3 - 9x2 + 11x - 1 = 8(x ...

A: It is required to calculate the value of r1, r2, r3, and r4 in the equation:

Q: The acceleration of a particle moving back and forth on a line is a = d2s/dt2 = pai ^2 cos pai t m/s...

A: Given information:

Q: A triangular corner is cut from a square 1 ft on a side. The area of the triangle removed is 36 in2....

A: It is given that the area of triangle is 36 square inches which has been cut from a square.And, a tr...

Q: Archimedes (287–212 b.c.), inventor, military engineer, physicist, and the greatest mathematician of...

A: Click to see the answer

Q: What are the derivatives of the six basic hyperbolic functions? What are the corresponding integral ...

A: The derivatives of the six basic hyperbolic functions are as follows.