448 Answered Questions for the topic integral calculus

Integral Calculus Calculus

11/14/21

Approximate the definite integral by dividing the interval into 4 subintervals and using the left endpoint of each subinterval.
a. 3432b. 2766c.2765d. 2152e. 2144f. none of the aboveReally confused about this question. Thank you for the help in advance.
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Integral Calculus Calculus

11/13/21

Find f(x) based on the following Riemann sum
The following sum√(4-(2/n)2)*(2/n) + √(4-(4/n)2)*(2/n) + ... + √(4-(2n/n)2)*(2/n)is a right Riemann sum with n subintervals of equal length for the definite integral 2 ∫ f(x) dx0where f(x) = ???
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Integral Calculus Math Calculus Indefinite Integrals

11/12/21

Indefinite Integral problem
Hello I need some help with this problem because I've already tried solving and putting -3cos(x) + 15ln|sec(x)| for my answer and -3cos(x) - 15ln|cos(x)| but my WebWork won't accept it because it... more
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Integral Calculus Calculus

11/08/21

Consider the following table:

x 0 4 8 12 16 20 f(x) 38 37 35 31 22 3 (a) Use this data and a left-endpoint Riemann sum to estimate the integral:∫200 f(x)dx≈(b) Use this data and a right-endpoint Riemann sum to estimate the... more
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Integral Calculus Math Calculus Integral

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... more
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Integral Calculus Math Calculus Derivative

11/06/21

A closed rectangular box with faces parallel to the coordinate planes... what is the max volume?
A closed rectangular box with faces parallel to the coordinate planes has one bottom corner at the origin and the opposite top corner in the first octant on the plane 5x+6y+z=1. What is the maximum... more
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Integral Calculus Math Calculus Derivative

11/06/21

What is the shortest distance from the surface to origin
What is the shortest distance from the surface xy+15x+z^2 to the origin?
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Integral Calculus Calculus Mathematics Integra

10/28/21

Evaluate double integral √(y^2+z^2) over the region R in the Y-Z plane bounded by y^2+z^2=4.

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Integral Calculus Calculus

10/24/21

Evaluate ∫∫ A sin(x^2 + y^2) dA, where A is the region bounded between x^2 + y^2 = 4 and x^2 + y^2 = 9. please use polar coordinates

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Integral Calculus Math Calculus Volume

10/24/21

Volume; disk method

Suppose you are given a solid whose base is the circle x^2+y^2=64 and the cross sections perpendicular to the x-axis are triangles whose height and base are equal.Find the area of the vertical... more
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Integral Calculus Math Algebra 1 Calculus

10/17/21

Help with this homework
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... more
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Integral Calculus Math Algebra 1 Calculus

10/17/21

Help with this homework
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... more
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Integral Calculus Math Algebra 1 Calculus

10/17/21

Help with this homework
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... more
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Integral Calculus Math Algebra 1 Calculus

10/15/21

Help with this homework
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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Integral Calculus Math Algebra 1 Calculus

10/15/21

PLease help with this homework
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
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Integral Calculus Math Algebra 1 Calculus

10/15/21

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
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Integral Calculus Math Calculus Mathematics

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
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Integral Calculus Functions

10/04/21

Consider the functions f, g, defined for x∈R.
Consider the functions f, g, defined for x∈R. given by f(x)=e-x sin x and g(x)= e-x cos x(a) Findi. f'(x)iI. g'(x) (b) Hence, or otherwise, find ∫ e-x sin x dx , between π and 0.
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Integral Calculus

09/09/21

\int_0^2 (\sqrt(1+x^(3))+\root(3)(x^(2)+2x))
\int_0^2 (\sqrt(1+x^(3))+\root(3)(x^(2)+2x))
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Integral Calculus

08/21/21

Integral Calculus
Given that the integral of f(x) from x=0 to x=3 is equal to 8, find the integral from x=0 to x=3 of f(x+4)
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Integral Calculus

08/21/21

Integral Calculus
If the integral from x=0 to x=3 of f(x) is equal to 8, what is the integral of f(x+4) from x=0 to x=3?
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Integral Calculus

08/19/21

sum and integral
Rn= 1/n ∑^n and i=1 underneath  [7(4+i(1/n))^5  −6(4+i(1/n))^4]express the limit as n-->oo as a definite integral, that is provide a,b and f(x) in the expression ∫^b and a underneath f(x)dxa=. ... more
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Integral Calculus

08/15/21

limits and intergral
Given Ln= 4/n ∑^n and i=1 and the bottom [5(3+(i−1)4/n)^2 −7(3+(i−1)4/n)^4], express the limit as n→∞  as a definite integral, that is provide a, b and f(x) in the expression ∫^b and on the bottom... more
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Integral Calculus

08/13/21

Integral calculus
Calculate∮(1+ sinx/x) dxcorrect to 5 decimal places.
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Integral Calculus Math Calculus Statistics

08/09/21

find explicit formula for aₙ, find lim n-> ∞ aₙ
a1 = 1/(2-1/2), a2 = 2/(3-1/3), a3 = 3/(4-1/5), a4 = 4/(5-1/5), a5 = 5/(6-1/6).1) find explicit formula for aₙ2) find lim n-> ∞ aₙ
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