Start your trial now! First week only $4.99!*arrow_forward*

Question

Express in terms of sums and differences of logarithms

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: find the volume . The base of the solid is the region bounded by the parabola y2 = 4x and the line x...

A: The base of the solid bounded by the parabola y^2=4x and the line x=1. And each cross section perpen...

Q: A force of 200 N will stretch a garage door spring 0.8 m beyond its unstressed length. How far will ...

A: Given information:

Q: Could x^(ln 2) possibly be the same as 2^(ln x) for some x> 0? Graph the two functions and explai...

A: Consider x = 3>0Then

Q: Estimate the error if P4(x) = 1 + x + (x2/2) + (x3/6) + (x4/24) is used to estimate the value of ex ...

A: Calculate the actual value of ex at x=1/2

Q: a. Find the centroid of the region in the first quadrant bounded by two concentric circles and the c...

A: Given information:

Q: Graph the given equation. 4y = 5

A: The given equation is,

Q: Consider the table. f(x) 10 4 13 16 8. 19 b. Express f in the form f(x) = ax + b

A: Given,

Q: The infinite region bounded by the coordinate axes and the curve y = -ln x in the first quadrant is ...

A: Express the integral as below.

Q: How is the exponential function ex defined? What are its domain, range, and derivative? What laws of...

A: How is the exponential function ex defined? What are its domain, range, and derivative? What laws of...

Q: Use a calculator to estimate the limit. 6x lim 8x

A: Given function

Q: Solve the exponential equation 5-n = 1253n+5 The answer is n = -3/2 but I would like to know the wor...

A: We want to write both sides as exponent of 5.Write 125 as 5^3

Q: x dx+ye−xdy=0,y(0)=1

A: Click to see the answer

Q: Find, to two decimal places, the x-coordinate of the centroid of the region in the first quadrant bo...

A: Given the x-coordinate of the centroid of the region in the first quadrant bounded by the x-axis, th...

Q: I just need #30

A: Given:

Q: Match the polynomial function with its graph. 5 graphs in total. First three have been removed as th...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: A region in the first quadrant is bounded above by the curve y = cosh x, below by the curve y = sinh...

A: A region in the first quadrant is bounded above by the curve y = cosh x, below by the curve y = sinh...

Q: You plan to store mercury (w = 849 lb/ft3) in a vertical rectangu-lar tank with a 1 ft square base s...

A: known fact:

Q: Find the centroid of a thin, flat plate covering the region enclosed by the parabola y2 = x and the ...

A: Given information:

Q: A tank initially contains 100 gal of brine in which 50 lb of salt are dissolved. A brine containing ...

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

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: Express as a single logarithm and if possible simplify

A: Click to see the answer

Q: y′+(tan t)y=sin t,y(π)=0

A: Click to see the answer

Q: Solve the initial value problem and determine where the solution attains its maximum value.

A: Given, the initial value problem

Q: Find the constants a and b such that the function is continuous on the entire real line. 7, ax + b, ...

A: For a continuous function the value the value of the value of f (x) is not discontinuous at any poin...

Q: 4x² + 5 -dx 3

A: Given, integral is

Q: The region in the first quadrant that is bounded above by the curve y = ex - 1, below by the x-axis,...

A: Express the integral as below.

Q: The force of attraction on an object below Earth’s surface is directly proportional to its distance ...

A: Click to see the answer

Q: The region between the curve y = 1/(2sqrt(x)) and the x-axis from x = 1/4 to x = 4 is revolved about...

A: (a) The given curve is

Q: Use the Euler method with dx = 0.2 to estimate y(2) if y′ = y/x and y(1) = 2. What is the exact valu...

A: Consider the provided differential equation with given condition,

Q: Find the center of mass of a thin plate covering the region between the x-axis and the curve y = 2/x...

A: Click to see the answer

Q: Biologists consider a species of animal or plant to be endangered if it is expected to become extinc...

A: Click to see the answer

Q: In each of Problems 18 through 21, find an integrating factor and solve the given equation. 18. (3x2...

A: Given the equation,(3x2y + 2xy + y3) + (x2 + y2)y′ = 0

Q: Find the volume using the shell method. x = 8y2, y ≥ 0, x = 8; about y = 2

A: Given:x = 8y2, y ≥ 0, x = 8; about y = 2

Q: Find the volume generated by revolving one arch of the curve y = sin x about the x-axis.

A: Let the bounds of one arch of the sine curve be 0 and pi. Then, the volume generated by revolving on...

Q: Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the li...

A: The region bounded by the given curves in first quadrant. The curves can be used to find the limits ...

Q: (y/x+6x)+(ln x−2)y′=0,x>0

A: Consider the given differential equation.

Q: In the function: f(x)= (3x^2)ln(x) , x>0 What are the inflection points of the function?

A: To find inflection points of the function we need second derivative of the function.Use product rule...

Q: In the function: f(x)= (5x)/((x^2)-25 How do you find the x-values of the inflection points? Wher...

A: Given function is,

Q: The charcoal from a tree killed in the volcanic eruption that formed Crater Lake in Oregon contained...

A: The half-life of carbon-14 is 5700 years. The decay constant, k is defined to be

Q: y′=5−3√y

A: Consider the given differential equation.

Q: What are the integrals of tan x and cot x? sec x and csc x?

A: Find the integral of tan x, cot x, sec x, csc x

Q: How would I evaluate this indefinite integral?

A: Consider the provided indefinite integral,Simplify the given indefinite integral as follows,

Q: Find the X and Y intercepts of y= 1 - the square root of 1 -x2

A: Given,

Q: Find the length of the curve y = ln (sec x), 0<= x<= pai/4

A: Given,

Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded by the ...

A: Recall the fact.

Q: find the areas of the surfaces generated by revolving the curves about the given axes. 27. x = 24y -...

A: To determine the surface area of solid of revolution about the y-axis.

Q: (2x? + 3x + 1) dx 3 (a) Find the Riemann sum for this integral using right endpoints and n = 3. (b) ...

A: (a) Obtain the Riemann sum for the given integral using right endpoints and n = 3 as follows.

Q: Consider the equation dy/dt = f(y) and suppose that y1 is a critical point—that is, f(y1) = 0. Show ...

A: To show that the equilibrium solution is asymptoticallyPart (a) Stable if f’(y1) < 0Part (b) Unst...

Q: Use Simpson’s Rule to approximate the av-erage value of the temperature function ƒ(x) = 37 sin (2pai...

A: Given information:

Q: A thin plate of constant density d = 1 occupies the region enclosed by the curve y = 36/(2x + 3) and...

A: Click to see the answer

Transcribed Image Text

xpress in terms of sums and differenc 4) log,5×²yz6 5+216 clogat210g+10 =lo06/-