Please see the attached file for three problems on area enclosed between curves. Question 13: Give the area of the region bounded by the graphs of G(x) = x^2 - 8 F(x) = 2x and the vertical line x = -3. Question 14: Give the area of the region bounded by the graphs of H(x) = x^2 - 10 Q(x) = 3x and the ver
Let f be continuous on the interval [0, b]. Show that int( f(x) / (f(x) + f(b-x)), x=0..b ) = b/2 .
Proprieties of Definite Integral - Show that if f is continuous on the entire real line then, Int(f(x+h)dx, x=a..b) = Int(f(x)dx, x=a+h..b+h).
Show that if f is continuous on the entire real line then, Int(f(x+h)dx, x=a..b) = Int(f(x)dx, x=a+h..b+h).
I need to find the area of each with respect to the x axis I have the following 2 polynomial equations: (1) y = -24.034x^4 + 440.02x^3 - 2814.5x^2 + 7050.2x - 4660 y values range from 0 to 1275 and x values range from 0 to 6 (2) y = -721.34x^5 + 15484x^4 - 123523x^3 + 443283x^2 - 678627x + 396008 y values range fr
Text Book: - Taylor & Menon I have post few questions from above said text book. Please mention each and every step. Please the attached documents. In page 549 & 550 Exercise Problems 1, 5 & 6 In page 554 Exercise Problems 1, 2, 3, 4, 6, 8 & 9 Thanking you
Evaluate the contour integral of z^2/(4-z^2) around the circle |z+1|=2. The question is attached in correct mathematical notation, along with the student's (incorrect) initial attempt. You will need to refer to this initial attempt when reading the solution.
For the functions: f(x)=4-x^2 g(x)=e^(-x) a. Sketch both graphs. Find and label the intersection points. b. Find the area between the graphs using integration. Give the full integral, including limits, in proper notation.
Let f be analytic on │z│> 1. Show that if r > 1, then the integral of f over C(0,r) is independent of r.
Let f be entire. Evaluate the integral from zero to 2 pi of f(z_0+re^(i theta)) e^(ik theta), where z_0 is a constant and k is a constant greater than or equal to 1.
7) Determine the integral (square root of 9x^2 + 4) /x^4 dx
Please solve the following integral: 1) Determine the integral sin^3(3x)cos^6(3x)dx Make sure to show all of the steps which are required.
3A)Determine the integral 2xe^-5x^2 dx by u substitution.
It is essential to show all steps by hand. Also if a method is prescribed, use only that method. Keeping this involved, solve the following: 1A) Determine the integral dx/x^2+12x+36 by using substitution. 1B) Determine the integral dx/x^2+12x+40.
Text Book: - Taylor & Menon: Page 539 following questions need solutions. Exercise 1, 2, 3 & 4 Page 540 Exercise problem. Please see attached pages.
Use series to approximate the definite integral I; Using multiplication or division of power series to find nonzero terms in Maclaurin Series
Please see the attached file for the fully formatted problems.
Evaluate the iterated integrals in the attachment.
Calculate the double integral. See attached page for the problems.
1) Int. Sinx dx. = ( Pi/2 to 3/2pi) ie definite integral of sinx with lower limit pi/2 and upper limit 3/2 pi
Integrate [(e^(2t)/(1+e^(4t))]dt Thank you in advance for your time and effort!
1) Evaluate. ∫ sinh^6 x cosh x dx 2) Evaluate. ∫ [ (√x+4)^3 / 3√x ] dx 3) Evaluate. ∫ x^2 sin(2x) dx 4) Evaluate. ∫ sin^5 x dx Please see attachment for actual sample problems.
3. Solve the wave equation, ∂2u/∂t2 = c2(∂2u/∂x) -∞ < x < ∞ With initial conditions, u(x,0) = (1/x2+1)sin(x), and ∂u/∂t(x,0) = x/(x2+1) 4. Suppose that f is a 2п-periodic differentiable function with Fouier coefficients a0, an and bn. Consider the Fourier coeffici
1. Evaluate: ∫2cos2 xdx 2. Figure 12.1 y = 9-x2 , y=5-3x Sketch the region bounded by the graphs of Figure 12.1, and then find its area. 3. Figure 13.1 1?0x4dx Approximate the integral (Figure 13.1); n=6, by: a) first applying Simpsonfs Rule and b) then applying the trapezoidal rule. 4. Find
LetR be the region bounded by the graph of f(x)=3x^2+6x and g(x)=18x-5x^2. 1) determine the area of R 2) Determine the volume of the solid of revolution formed when R is revolved about the line y=18. Please answer in detail.
Evaluate the integral. (integral from 0 to 1) dt/sqrt[16t^2+1] Use Hyperbolic inverse and show steps please!
Differentiate the function f(x) = ln(2x + 3). Find . lim e^ 2 x/(x+5)^3 →∞ Apply l'Hopital's rule as many times as necessary, verifying your results after each application. Evaluate ∫ x sinh(x)dx . Determine whether 2 ∫ (x / ^(4-x^2)) (dx)
Evaluate ∫3x+3 / x^3-1 (dx) Use trigonometric substitution to evaluate ∫1 / ^/¯1+x2(dx) Determine whether converges or diverges. If it converges, evaluate the integral. ∞∫-∞ 1 / 1+x2 (dx)
Evaluate ∫(^/¯x+4)^3 / 3^/¯x(dx) ∫x2sin2x dx ∫ sin5xdx
Evaluate: ∫ sinh6 xcosh xd x Given ?(x)= csch^-1 1 /x2 find ?'(x) Given ?(x)=log10x find ?'(x).
Find an upper and lower bound for the integral using the comparison properties of integrals. 1∫0 1 /x+2(dx) Apply the Fundamental Theorem of Calculus to find the derivative of: h(x)= x∫2 ^/¯u-1dx Evaluate: 4∫1 (4+^/¯x)^2 / 2^/¯x (dx) Evaluate: ∫2cos^2 xdx Sketch
Integrate...over the curve...in the first quadrant...from...