dy dr

Q: The Gamma Function Γ(n) is defined as attached (a) Find Γ(1), Γ(2), and Γ(3). (b) Use integration by...

A: (a) The first terms after integrating by part with u=xn and v=e-x dx for all 0because e-x dominates ...

Q: Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci, an...

A: Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci, an...

Q: Graph the inequality 3x - 4y >12.

A: we have to graph the inequality 3x - 4y >12.

Q: Using gradient rules Use the gradient rules of Exercise 85 to find the gradient of the following fun...

A: Consider the provided function, fx,y,z=x+y+zexyz Find the gradient of the function. The gradient of ...

Q: A company is planning to manufacture computer desks. The fixed cost will be $60,000 and it will cost...

A: A company is planning to manufacture computer desks. The fixed cost will be $60,000 and it will cost...

Q: A manufacturer of lightweight tents makes two models whose specifications are given in the following...

A: Let the x denotes the number of Model A lightweight tens and y denotes the number of Model B lightwe...

Q: Sketch a graph of a function whose derivative is always negative. Explain how you found the answer.

A: Sketch a graph of a function whose derivative is always negative. Explain how you found the answer.

Q: An object moves in simple harmonic motion described by the given equation d = -6 cos 2πt, where t is...

A: Consider the given equation as d=-6cos2πt  

Q: Simplify expression. Assume that all variables represent positive numbers.

A: Given:x12y-74y-54-4

Q: Evaluate: log2 16.

A: Given :          log216

Q: dy %3D 1. If x'+ xy-3y' 10, then dx %3D

A:

Q: A function is given by a table of values, a graph, aformula, or a verbal description. Determine whet...

A: Graph: Vertical line test the vertical line test is a visual way to determine if a curve is a graph ...

Q: Find the length of the latus rectum of the parabola x2 = 4py. Then find the length of the parabolic ...

A:  Given , Equation of parabola  x2 = 4py     Comparing with the Standard Equation of Parabola  x2=4ay...

Q: Use Picard’s Method with 3 iterations to solve for y(0.1) and y(0.2), the equation dy/dx = x2+y2; y(...

A: Picard method: Consider the initial value problem, dydx=fx, y, yx0=y0 Then  yn+1=y0+∫x0xfx,yndx     ...

Q: The equation x2 + y2 + Dx + Ey + F = 0 is called the_________ form of the equation of a circle.

A: The general form of the equation of a circle is x2+y2+Dx+Ey+F=0. D, E and F are constants.

Q: 2y''y^2+2y(y')^2 =1 find the solution

A:  

Q: find the general solution of the given equation. y'' + 4y' + 5y = 0

A: Consider the following differential equation: y''+4y'+5y=0 Characteristic equation of the above equa...

Q: Solve  y"-7y'+10y=0

A:

Q: A drag racer accelerates at a(t)= 88 ft/s2. Assumev(0)= 0, s(0) = 0, and t is measured in seconds.a....

A: Given, a(t)=88 fts2 v(0)=0s(0)=0

Q: Verify the following indefinite integral by differentiation.

A: We have to verify the indefinite integral by differentiation: ∫x2 cos x3 dx=13sin x3+C We know the f...

Q: Use a table of integrals to find the indefinite integral ∫x arccsc(x2 + 1) dx

A: Consider the given integration as ∫xcsc-1x2+1dx

Q: Evaluate the integral using appropriate substitution:(ii) x^2√(1 + x)dx

A: Let the given integral be y - y = ∫x21+x dx         ..................(1)Let,u2 = 1+x     .............

Q: Explore the convergence of the series:

A:

Q: In Exercises 39-44, determine a reduced fraction that has this decimal . expansion. 0.217217217 .. .

A: To determine a reduced fraction that has decimal expansion 0.217217217..... Let x=0.217217217...    ...

Q: Use L’Hôpital’s Rule to determine the comparative rates of increase of the functions f (x) = xm, g(x...

A: limx→∞lnx3x=limx→∞3lnx2·1x1    By using L'Hospital's rule=limx→∞3lnx2x=limx→∞3·2lnx·1x1    By using ...

Q: Your neighborhood movie theater has a 25-foot-high screen located 8 feet above your eye level. If yo...

A: Given, The height of of screen is 25 feet located 8 feet above eye level and viewing angle θ is give...

Q: Find Mx, My, and ( x̅,  y̅ ) for the lamina of uniform density ρ bounded by the graphs of the equati...

A: given that the equations are y=x23x=8y=0

Q: Prove f(x,y)=ln(x2+y2)1÷2  by laplace equation

A: Given: The function, fx,y=lnx2+y2 and the Laplace equation, ∂2f∂x2+∂2f∂y2=0.