25,270 Answered Questions for the topic calculus

11/29/24

Overall questions

1.Describe the brachial plexus 2.Derive InX3.Describe pharmacological aspect according to preclinical and clinical fields4.Explain Nerst potential and give an example
Calculus

11/27/24

Let f be a function that has derivatives of all orders for all real numbers. In particular,assume f(1) = 3, f′(1) = −2, f′′(1) = 2, f′′′(1) = 4, and |f(4)(z)| = 2 for 0 < z < 0.1

Let f be a function that has derivatives of all orders for all real numbers. In particular,assume f(1) = 3, f′(1) = −2, f′′(1) = 2, f′′′(1) = 4, and |f(4)(z)| = 2 for 0 < z < 0.1(a) Write the... more

11/25/24

Evaluate the given improper integral

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

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=
Calculus

11/22/24

I need help with this problem. It is a differential equation.

The following differential equation is used to model population growth in an environment with limited resources. y' = 0.2y (1- y/85)Find the values of y at which the population is in... more
Calculus

11/21/24

Direction Fields and Numerical Methods

Use Euler's method with step size 0.4 to estimate y(0.8), where y(x) is the solution of the initial-value problem y' = -3X-2 +y^2, y(0) = -1 what is y (0.8)?
Calculus

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
Calculus

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
Calculus

11/21/24

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

Graph the integrands and use known area formulas to evaluate the integrals∫-1 to 1 (2-abs(x))dx
Calculus

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-abs(x))dx
Calculus

11/20/24

Find the length of the curve.

x=9t-3t^3, y=9t^2, 0<_t<_3
Calculus Math

11/19/24

Could anyone help me with this?

You are given a rectangular piece of paper that has length  cm and height  cm. The lower right corner is to be folded to the top edge forming a triangle as shown. Determine the maximum and minimum... more
Calculus

11/19/24

Identify which of the two numbers e^{pi} and {pi}^e is larger

The two numbers namely "e" and "pi" occur frequently in mathematics. Both are non-algebraic numbers ( both e and pi are transcedental numbers). Out of the two numbers namely e^{pi} and pi^{e},... more
Calculus

11/18/24

MultiVariable Calculus - partial derivatives

“Given the tangent plane of an implicit surface, written in the form f_x(x - x0) + f_y(y - y0) + f_z(z - z0) = 0, how do we find the line tangent to the level curve z = z0?”
Calculus

11/18/24

Calculus Helppppp

The strength of magnetic force varies inversely with the square of the distance between the magnets. In other words, force = k/distance^2 Suppose that when two magnets are 4 cm apart, there is a... more
Calculus

11/18/24

Hydrostatic Force

The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y = 0.4x^2 below the line y = 180. . (Here, distances are measured in... more
Calculus Math

11/14/24

math question please help

Find the area of the region that lies inside the first curve and outside the second curve, 𝑟 = 3 sin 𝜃 , 𝑟 = 1 + sin 𝜃.
Calculus Math

11/13/24

math question please help

Find the slope of the tangent line to the given polar curve at the point specified by the value of 𝜃, 𝑟 = 1 + cos 𝜃 , 𝜃 = 𝜋/ 6.
Calculus

11/13/24

Let f(x) = √sinx. Use the tools of calculus to find the absolute minimum of f(x) on the interval [0,pi].

Let f(x) = √sinx. Use the tools of calculus to find the absolute minimum of f(x) on the interval [0,pi].
Calculus

11/13/24

Let f(x)=x3-4x2+x+1. Use the tools of calculus to find the absolute minimum and the absolute maximum on the interval [0,3].

Let f(x)=x3-4x2+x+1. Use the tools of calculus to find the absolute minimum and the absolute maximum on the interval [0,3].
Calculus

11/13/24

Let p(x)=x+0.5sinx. On what intervals is p(x) increasing, and on what intervals is it decreasing?

Let p(x)=x+0.5sinx. On what intervals is p(x) increasing, and on what intervals is it decreasing?Find and classify the local exrema of p(x).
Calculus

11/12/24

Volume of Revolution

Find the volume of the solid formed by rotating the region enclosed byy = e^3x +4, y = 0, x = 0, x=1 about the y axis
Calculus

11/11/24

Setting up integrals for the area.

Let R be the area in the first quadrant to the right of x = 1, above y = 2x^2, and below y = 6 + x.A) Set up an integral that would find the volume of the region R rotated about the x-axis.B) Set... more
Calculus

11/11/24

A baby food manufacturer finds that its revenue for selling x units (in thousands) is R(x) = - x3+63x2+12000x

A baby food manufacturer finds that its revenue for selling x units (in thousands) isR(x) = - x3+63x2+12000xWhat production level maximizes revenue?

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