Please see the attached file for the fully formatted problems. Find any relative extrema and inflection points of the function y= x a. y = x2 ln x dy/dx = To find teh relative extrema, we set dy/dx = 0 Or x(1 + 2ln x) = 0 Or x = 0, because ln cannot go into the negative. Clearly, x = 0 is a point of inflection
Find the area of the region bounded by y = cosh x, y = sinhx, x=0, and x=3. Please show hand drawn graph. keywords: integrals, integration, integrate, integrated, integrating, double, triple, multiple
Two definite integrals to evaluate. See attached file for full problem description. keywords: integrals, integration, integrate, integrated, integrating, double, triple, multiple
∫3xe^(x^2 + 7) dx See attached file for full problem description.
Calculate the curve of each of the following functions, using equations. See attached file for full problem description.
Rewrite the Real Integral in Terms of a Closed Loop Contour Integral which includes the Real Axis And the Semicircle in the Upper Half Plane. See attached file for full problem description.
See attached file for full problem description. A 100-ft length of steel chain weighing 15 lb/f is hanging from the top of a building. How much work is done in pulling all of the chain to the top of the building?
Find the Indefinite Integral...See attached file for full problem description.
Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis: y=x^3, x=0, y=8
a) Compute the integral of xdz (|z|=r) for the positive sense of the circle in two ways first by using parametrization and second by observing that x=(1/2)(z+z conjugate)=(1/2)(z+r^2/z) on the circle. b) Compute the integral of dz/(z^2-1) (|z|=2) for the positive sense of the circle. PS - Here maybe we have to find first a p
1/√2 ∫ arccos x/√(1 - x^2) dx 0
1 ∫1/(4 -x^2) dx 0
∫ t/(t^4+1) dt
Find integral int tdt/(t^4+1) See attached file for full problem description.
∫4/(1+9x^2) dx
∫cosh(√x)/√x dx
(1) S xe^xdx (2) S xsinxdx (3) S lnxdx (4) S (e^x)cosxdx
(See attached file for full problem description) Find the definite integral __ ∫-18 3√x dx Note - The 8 is supposed to be directly over the -1.
(See attached file for full problem description) Water will be added to the city's reservoir tonight for a 4 hour period. The rate at which the water is added depends on the time and is given by the function dw/dt = 1000 + 100t 0 <= t <= 4 Where w is the volume in gallons and t is the time in hours. Determine the
Find the exact area under the curve y = x2 + 3 from x = 1 to x = 4.
Find the value of the integral - 6 ∫ x dx 4 Note - The 6 is supposed to be directly over the 4.
9 ∫6/x dx 4
Find the definite integral: ∫(3 + x^2)dx from x = 0 to x = 1.
Determine the cost function C(x) that corresponds to the marginal cost and fixed cost given. Marginal cost = 30 - 0.05x, Fixed cost = $100 (See attached file for full problem description)
Antidifferentiation ∫(e^x -6) dx
(See attached file for full problem description) Find the indefinite integral of (x^2 - 4x)dx
Please solve for the following integral and show all of the work which is required. Integral (2 to -2) 4^((x)/(2)) dx
∫(2^sinx) cos x dx
Dy/dx + 3x^2y = x^2 y(0) = 2
It is required to use the Trapezium's rule to evaluate the integral of sin(x)^2 from 0 to pi/2 to four decimal place accuracy. Use the error bound formula to recommend the number of panels n. Find the Trapezium rule approximation of the integral with n=2 and compare with the exact value. Does this result contradict your part