Question

What is the exact value for cos(cos^{-1}(1))

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Let h = ƒg be the product of two differentiable functions of x. a. If ƒ and g are positive, with loc...

A: a. Given information:

Q: Simplify the difference quotient StartFraction f left parenthesis x plus h right parenthesis minus f...

A: Plug x=x+h in f(x) and simplify.

Q: In the function: f(x)= (7x+B)/(4x+b) , with 7b>4B At which x does the function reach its local m...

A: According to the given information it is required to calculate at which x does the function reach it...

Q: Solve the homogeneous equations (xe^y/x + y) dx - x dy =0.

A: Find dy/dx from the given equation

Q: Suppose that a certain population satisfies the initial value problem dy/dt=r(t)y−k,y(0)=y0,dy/dt=r...

A: Calculation:

Q: a. Find the center of mass of a thin plate of constant density cov-ering the region between the curv...

A: (a)Given information:

Q: What tests are available for determining the convergence and divergence of improper integrals that c...

A: The tests available for determining the convergence and divergence of improper integrals that cannot...

Q: Find the volume of the solid that results when the shaded region is revolved around the indicated ax...

A: Given a solid that resulted when the shaded region is revolved around the indicated axis.

Q: The U.S. Census Bureau keeps a running clock totaling the U.S. population. On September 20, 2012, th...

A: Consider t be the time in years after the September 20, 2012 at 8.11 p.m. EST and y(t) be the corres...

Q: solve for x by completing the square x2 + 14x -3 =0

A: Move 3 to the other side

Q: Consider a region bounded by the graphs of y = x4 and y = x5. Show that the center of mass lies outs...

A: It is given that the density of the plate is and the region bounded by the graphs of y = x4 and y =...

Q: y′=(3x2−ex)/(2y−5),y(0)

A: Given,

Q: What integrals lead to logarithms? Give examples.

A: To determine the integral leads to logarithms.

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

A: Given,

Q: A tank initially contains 120 L of pure water. A mixture containing a concentration of γ g/L of salt...

A: A tank initially contains 120 L of pure water. A mixture containing a concentration of γ g/L of salt...

Q: Find the lateral surface area of the cone generated by revolving the line segment y = x/2, 0<= x&...

A: Find the lateral surface area of cone.

Q: A force of 2 N will stretch a rubber band 2 cm (0.02 m). Assuming that Hooke’s Law applies, how far ...

A: Given:

Q: Derive the formula for the volume of a right circular cone of height h and radius r using an appropr...

A: Given information:

Q: a ball is thrown straight upwards from a tower (40 feet high) so that its position, s in feet, at ti...

A: Click to see the answer

Q: y′=(3t2+4t+2)/2(y−1),y(0)=0

A: Click to see the answer

Q: A rock climber is about to haul up 100 N (about 22.5 lb) of equipment that has been hanging beneath ...

A: A rock climber is about to haul up 100 N (about 22.5 lb) of equipment that has been hanging beneath ...

Q: In a pool filled with water to a depth of 10 ft, calculate the fluid force on one side of a 3 ft by ...

A: a.The integral for Fluid Force Against a Vertical Flat Plate:Suppose that a plate submerged vertical...

Q: Given the cost and price functions C(q)-100q+49,000 and p(q)=-2.6q+870, if the company sets the pric...

A: Given

Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population increase...

A: Given:At the end of 3 hours there are 10,000 bacteria.At the end of 5 hours there are 40,000 bacteri...

Q: Express as a single logarithm and if possible simplify

A: Click to see the answer

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the re...

A: Sketch the integrant as shown below.

Q: For each of the following vector fields F, decide whether it is conservative or not by computing cur...

A: a)Find the curl of the vector. If the curl of the vector is zero then it is conservative.

Q: A ball with mass 0.15 kg is thrown upward with initial velocity 20 m/s from the roof of a building 3...

A: To determine,Part (a) The maximum height attained by the ball.Part (b) The time when the ball hits t...

Q: Show that ϕ(t) = e2t is a solution of y′ − 2y = 0 and that y = cϕ(t) is also a solution of this equa...

A: Proof: part (a). Given

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: 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

Q: A spring has a natural length of 10 in. An 800-lb force stretches the spring to 14 in. a. Find the f...

A: (a) Obtain the force constant as follows.

Q: Solve the initial value problem and determine the interval in which the solution is valid.Hint: To...

A: Click to see the answer

Q: solve the initial value problem. (x+1)dy/dx+ 2y = x, x >-1, y(0) = 1

A: Write the equation as linear differential equation.

Q: A flat vertical gate in the face of a dam is shaped like the parabolic region between the curve y = ...

A: Click to see the answer

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: obtain a slope field and add to it graphs of the solution curves passing through the given points. y...

A: Click to see the answer

Q: Discuss asymptotic behavior and provide two real-life examples where the observed trend is "asymptot...

A: Asymptotic behavior describes a function or expression with a defined limit or asymptote.Asymptotic ...

Q: Find the domain of f(g(x))

A: Given that two functions: Find the domain of (fog)(x)

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: Suppose that a certain population obeys the logistic equation dy/dt = ry(1 − (y/K)). a.If y0 = K/3, ...

A: (a)calculation:

Q: The region enclosed by the curve y = sech x, the x-axis, and the lines x = +- ln sqrt(3) is revolved...

A: Given:

Q: Solve the initial value problem y′=2y2+xy2,y(0)=1

A: Given an initial value problem,y′ = 2y2+xy2, y(0) = 1

Q: (3x + 4x + 5) dx (a) Find the Riemann sum for this integral using right endpoints and n = 3. 454 (b)...

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

Q: How is the natural logarithm function defined as an integral? What are its domain, range, and deriva...

A: Explanation:

Q: Derive the equation for the volume of a sphere of radius r using the shell method.

A: Consider a circle of radius (r), which when rotated around x-axis generates a sphere.

Q: x dx+ye−xdy=0,y(0)=1

A: Given differential equation

Q: determine whether the following statements are true or false 1. if z=f(y) and y= g(x) then dz/dx= d...

A: Click to see the answer

Q: A mountain climber is about to haul up a 50-m length of hanging rope. How much work will it take if ...

A: It is given that the mountain climber is about to haul up a 50-m length of hanging rope.Find the fun...

Q: Find the area of the region bounded above by y = 2 cos x and below by y = sec x, -pai/4<= x<= ...

A: Given curves are: