Definite Integral Found
I(a)=∫0-->pi/2 1/(1 + tan x)^a integrate, integration
I(a)=∫0-->pi/2 1/(1 + tan x)^a integrate, integration
(See attached file for full problem description) 5.7 a) Consider one-dimensional unsteady diffusion in an absorbing medium. The causal fundamental solution E with pole at x = 0, t=0 satisfies Reduce the problem to ordinary diffusion by the transformation E = b) What would be the significance of the problem in which q^2
Approximate the volume of the solid generated by revolving region formed by the curve y=x^2, x-axis and the line x=2. Volume approximated by concentric shells a) Sketch the reqion y=x^2, x-axis and the line x=2. b) We'll approximate the volume revolving the region about the y-axis. c) partition the interval [0, 2) in x,
∫x^2/√(25-x^2) To solve a given indefinite integral using a suitable trigonometric function substituted. Please see the attachment for the problem.
A lamina is described with the help of three curves, given that density of the lamina at a point P is inversely proportional to its distance from y-axis and density at one of the points in the region of the lamina is also given. We need to find the centroid of the region. For full text of the problem, please find the attachm
A lamina is described with the help of three curves, given that density of the lamina at a point P is proportional to the square of its distance from x-axis and density at one of the points in the region of the lamina is also given. We need to find the centroid of the region. For full text of the problem, please find the at
A lamina (with uniform thickness 0.01m) has the shape in the xy plane bounded by the curves y+sqrt(x)=0, x-y=0, x=1, x=4. If the density is given to be proportional to the distance of a point on the curve to Y-axis, find the centroid of the region. Please see the attached file for the fully formatted problem. integrals,
A lamina (with uniform thickness 0.01m) has the shape in the xy plane bounded by the curves y-4-x^2, y=0, If the density given is constant, find the centroid. Please see the attached file for the fully formatted problems. integrals, integrating
Let R be the shaded region in the first quadrant enclosed by the graphs of y=e^(-x^2), y= 1-cos x, y-axis as shown in the figure above. (a) Find the area of the region R. (b) Find the volume of the solid generated when the region R is revolved about the x-axis. (c) The region R is the base of a solid. For this solid, each cr
Let R and S be regions in the first quadrant. R is bounded by the x-axis, y=2-x^3 and y=tan x. S is bounded by the y-axis, y=2-x^3 and y=tan x. a) Find area of R. b) Find area of S c) Find volume of the solid generated when S is revolved about the x-axis.
The problem is: ∫∫ y/x^2 + y^2 dA R R is the triangle bounded by y=x, y=2x, x=2
1.) Estimate integral from (0 to 2) of 1/(2+x^2) dx using the midpoint rule n=4 2.) Eliminate parameter of parmetric equation x=cos theta y= sin ^2 theta sketch the Cartesian graph equal to 0 less than or equal to theta less than or equal to sin pi/2 3.) x=
Compute the residues of the function 1/[(z^2+1)(z^2+4)] at each of its poles. Hence compute the real integral.
I have completed the answers to the questions. I just need to have someone confirm that they are correct. Thank you! True/False Indicate whether the sentence or statement is true or false. F 1. Management science is the application of a scientific approach to solving management problems in order to h
Find a,b,c Є R such that ∫-1-->1 |x^3 - a -bx -cx^2|^2 dx is minimized.
Consider the system shown in Fig.1. (attached file) This is a PID control of a second-order plant G(s). Assume that disturbances D(s) enter the system as shown in the diagram. It is assumed that the reference input R(s) is normally held constant, and the response characteristics to disturbances are a very important consideration
Use partial decomposition to integrate (x-7)/(x^2-x-12 ) (5x)/(2x^3+6x^2 ) (x^3-8x^2-1)/(x+3)(x^2-4x+5)
Use partial decomposition to integrate. (2x^2-x-20)/(x^2+x-6 ) (sint)(4cos^2t-1)/(cost)(1+2cos^2t+cos^4t) (x+pi )/(x^2-3pix+2pi^2)
Integrate the following with respect to x 11-3x/((x-1)(x+3))
Please see the attached file for the fully formatted problems.
∫(2-2Cos(2t))^(-3/2).
Please show how to solve each of the following problems. Find the antiderivative (integral) 6. (x^2/the square root of [x^3-4])dx 8. (x^2 - 2)^3 2x dx 9. sin^3(x)dx 10. x^3/x^2 + 1 dx 11. 1/xln x dx 12. ln x/x dx 14. 2x + 1/square root of [x + 4] dx
Please explain how to solve the following: 1. Use the disk method to verify that the volume of a right circular cone is 1/3pir^2h. 2. Use the disk method to verify that the volume of a sphere is 4/3pir^3.
Use integration to find the area of the triangle having the given vertices. (0,0) (a,0) (b,c)
At time t = 0 a skier leaves the end of a ski jump with a speed of Vo feet per second at angle alpha with the horizontal. Position vector of the skier is represented by the vector : r(t) = [Vo (cos theta) t] i + [h + (Vo sin theta) t - 1/2gt^2] j The skier lands 259 feet down the incline 2.9 seconds later. (g = 32 ft. per sec^2
-2 1. Evaluate ∫ (e3x - 4 / ex) dx -3 2. The mean value of a continuous function over a given range is defined as the integral of a function divided by the range. b
Solve the integral equation: y(x) = 1 + integral from 0 to x of ( y(t)*t^2 dt) (in the integral is y as a function of t times t^2). See the attached file.
Derive the response of a viciously damped single-degree-of-freedom system of force Ft=F0e^-αt u(t) by means of a convolution integral. Plot the the response for the system parameters m=12 kg, c= 24 N.s/m, k=4.800 N/m and the force paramters F0=200 N, α=1 Prescribed Textbook: Fundamentals of vibrations: Leonard Meirovitch
Derive the response of a viciously damped single-degree-of-freedom system of force Ft=F0e^-αt u(t) by means of a convolution integral. Plot the the response for the system parameters m=12 kg, c= 24 N.s/m, k=4.800 N/m and the force paramters F0=200 N, α=1 Prescribed Textbook: Fundamentals of vibrations : Leonard
Please see the attached file for the fully formatted problems. Integrate, Integration