01/11/25

Integrating a trigonometric integral using trig identities (calculus 2)

Evaluate the following integral∫sin6(x)cos5(x)dx

01/06/25

The position of an object attached to a spring is given by s(t)=(1)/(4)cos(4t)-(1)/(6)sin(4t), where t is time in seconds. When 0, how many times is the velocity of the object equal to 0?

The position of an object attached to a spring is given by s(t)=(1)/(4)cos(4t)-(1)/(6)sin(4t), where t is time in seconds. When 0, how many times is the velocity of the object equal to 0?ZeroOne... more

01/02/25

Solve equation for x. Assume a=0.

ax+3=23

12/19/24

urgent please help

Suppose that in the simple RL circuit, the resistance is 20W and the inductance is 1 H. If a generator supplies a voltage of 𝐸(𝑡) = 60 sin 40𝑡 volts, and i(0) = 1A. Find i(t).

12/18/24

urgent please help

Approximate the following definite integral to three decimal places (Use the first four terms). 0 to 0.5 sin(x^4)dx

12/13/24

Right Riemann Sum to Determine an Integral that Defines an Area

Consider the region bounded by y=2-x2 and y=-x from x=-1 to x=2. Use a Right Riemann Sum to create an integral that calculates the area of the region. You don't need to evaluate the integral.

12/12/24

How do you graph (x) = lxl

12/11/24

consider the line given by the equation: 3x-y=-3

solve for x-value of the x intercept of the line

12/08/24

Riemann Sum Right Problem

Evaluate the Riemann Sum Right in the interval [a,b] with n sections. f(x) = - 5x + 6 1. What is the Riemann Sum - Right when n is 10? 2. What is the Riemann Sum - Right when n is 100? 3. What is... more

12/03/24

Evaluate the integrals using u-substitution:

Evaluate the integrals using u-substitution:∫theta (4√1-theta)2dtheta

12/03/24

Evaluate the integrals using u-substitution:

Evaluate the integrals using u-substitution:∫sin^5(x/3)cos(x/3)dx

12/02/24

please help and show work im having trouble understanding

question 1) Determine a Taylor series around x=0 for \int (sin x )/(x)question 2)  Find sum of geometric series \sum_(n=0)^(\infty ) (3(2)^(n+1))/(4^(n))

12/02/24

Find the area of the shaded region.

r = sqrt 𝜃A coordinate plane is given. A curve and a region are graphed. The curve starts at the origin, goes counterclockwise becoming further away from the origin, passes through the positive... more

Evaluate the given improper integral

∫from 1 to 0 (e^(-1/x))/(x^2) PLEASE HELP ASAP. A VIDEO WOULD ALSO BE GREATLY APPRECIATED.

11/24/24

Law of Sines. Need help solving problem

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. There may be two triangles, one triangle, or no triangles that satisfy the given conditions. (If an... more

11/24/24

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions.

There may be two triangles, one triangle, or no triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Enter all angles in degrees. Round your answers to one decimal... more

11/23/24

Separable Equations

Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy/dx = (7 +18x) / (xy^2); x>0 with the initial condition y(1) = 2. Y=

11/21/24

Power series Question

Suppose that ∞∑ cn x nn = 0  converges when x = −4 and diverges when x = 6. What can be said about the convergence or divergence of the following series?∞∑ (−1)ncn7n n = 0When compared to... more

11/21/24

Graph the integrand and use known area formulas to evaluate the integrals.

Graph the integrand and use known area formulas to evaluate the integrals.∫-1 to 1 (1+√(1-x2))dx

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