263 Answered Questions for the topic integral
11/15/21
Indefinite integration
Find the indefinite integral for the following:(indefinite integral) (6)/(8e^x+4)dxThank you in advance
11/08/21
For each value of λ the function h(x, y) = x^2 + y^2 - λ(6x + 2y - 18) has a minimum value m(λ)
For each value of λ the function h(x, y) = x^2 + y^2 - λ(6x + 2y - 18) has a minimum value m(λ).a) Find m(λ)b) For which value of λ is m(λ) the largest, and what is that maximum value?c) Find the...
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Consider the ODE system below y ′ = y2 − z2 ; z′ = y2 + z2 Which of the following is true?a. Solvable by trig substitutionb. Solvable using Euler method only if initial conditions are stated c. RK...
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The differential equation dy/dx = cos(x + y)/cos(x − y) may be classified as : a. Homogeneous b. Exact c. Linear d. Exact and Homogeneous
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Consider the function y(x) = − sqrt( 1 − x2), the volume of the solid of revolution about the x-axis is :a. Undefinedb. πc. 4π/3d. Cannot be solved using known techniques
PLease help with this homework
Consider the function y(x) = − sqrt( 1 − x^2), the volume of the solid of revolution about the x-axis is :a. Undefined b. π c. 4π/3 d. Cannot be solved using known techniques
10/15/21
Please help with this math question
. The ordinary differential equation : dy/dx = e^(-x^2) , y(0)=1 ; maybe solved using a. No technique covered in class b. Integration by parts c. The substitution y = xv d. Euler method
08/07/21
probability density function
Let X be the amount of time (years) before a new battery stops working. X has the probability density functionf(t) = { C e^(-0.4t) , t ≥ 00 , otherwise,where C is a constant.Find C (using (Pr(-inf...
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08/07/21
probability density function, find SD(X), find cumulative distribution function (CDF)
Let X be the amount of time (years) before a new battery stops working. X has the probability density functionf(t) = { C e^(-0.4t) , t ≥ 0 0 , otherwise,where C is a...
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Integral Integral Calculus
07/26/21
Evaluate the following integrals
1. ∫ (x−1)(2x3+2x2+3x+2)dx / x3(x+1)2. ∫10dx / 4x3−4x2+5x
Integral Integral Calculus
07/24/21
Determine the integral
Determine the integral of x y dx dy. Use inner limits=0 to (y + 1) and outer limits=0 to 1.
Integral Integral Calculus
07/19/21
Other Applications of Integration
1. The area bounded by the parabola ay = x2 and the line y = b is revolve about the x − axis. Find the volume generated. (use cylindrical shell method)2. How far from the x-axis and y-axis is the...
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Integral Integral Calculus
07/19/21
Other Applications of Integration
1. The area bounded by the curve y = e−x, the axes and the line x = 2 is revolved about ox. Find the volume generated. (use circular disk method)2. Find the volume of the torus formed by revolving...
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Integral Integral Calculus
07/16/21
Application of Integration: Plane Area
Show your mathematical maturity by giving COMPLETE complete solution to each of thefollowing items.1. Determine the area bounded by the curves y = 6x − x2 and y = x2 − 2x.2. Determine the tangent...
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Integral Integral Calculus
07/16/21
Application of Integration: Plane Area
Show your mathematical maturity by giving COMPLETE complete solution to each of thefollowing items.1. Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.2. Find the area bounded by...
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Integral Integral Calculus
07/12/21
Evaluate using Wallis’ Formula.
∫0π/2 sin4y cos7 ydy
∫10 (1-x2) 5/2 dx
How would i find what a and b are?
Set up an integral that computes the volume of a cone of height 12 whose base is an ellipse with semi-major axis 6 and semi-minor axis 4. The area formula for an ellipse is pi(a)(b), where a is the...
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Integral Calculus
07/10/21
integrals involving tan and sec; cot and cos
evalutae the integral please∫csc26xdx
Integral Integral Calculus
07/05/21
Fundamental Integration formulas
Evaluate ∫ 3x / 1-3x2 dxusing change of a variable.2.Derive the following formula ∫sec x dx = 1/2 In(1+sinx/1-sinx)+C3.Derive a formula for ∫xn In x dx where a. n≠-1 n=-14.Derive a formula...
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