Calculus

Find the solution of the differential equation = such that y = 85 when x = 8.

Started by Medesa

Find all antiderivatives F(x) of -x2 such that the line x + y = is tangent to the graph of y = F(x).

Started by jessicacav

Find the curve y = F(x) that passes through (-1, 0) and satisfies = 6x2 + 6x.

Started by Wadzanai

Solve the initial value problem = ; y(1) = 5.

Started by anjilletteb

At how many points does the curve x3 y + xy2 = 6 have a vertical tangent line?

Started by armygirl

Find the points at which the curve 5x2 + 6xy + 5y2 = 80 has horizontal tangent lines.

Started by jerry coleman

Find the value of y" at given that x + = 2sin(2x + y).

Started by amal

If 2x2 + y2 = 1, express in terms of y alone.

Started by cabate

Show that the curves given by y2 + 4y + 4x + 3 = 0 and y2 = 4x + 1 have a common tangent line and ...

Started by fasfsadfdsfa

Find all points on the graph x2 + y2 = 4x + 4y at which the tangent line is horizontal.

Started by SGallaher96

Find the slope of the curve tan(2x + y) = x at (0, 0).

Started by chads108

Find the slope of the tangent line to the graph of x2 + 4y2 = 4 at the point (, - ).

Started by mcmcdaniel

Find if y3 + y2 - 5y - x2 = -4.

Started by PhilipSeeMore

True or False: If function f is defined on [a, b] (where a < b) and is differentiable on (a, b), ...

Started by cagreen833

True or False: The function f(x) = x3 is nondecreasing but is not increasing on its domain.

Started by TFauchery

Determine the open intervals on the x-axis on which the function is increasing and those on which it ...

Started by burchfield96

Determine the open intervals on the x-axis on which the function is increasing and those on which it ...

Started by Awilson837

Where is the function f(x) = 3x2 + 12x + 7 increasing, and where is it decreasing?

Started by Tirant22

Given f(x) = x2 - 6x +12, find the value of c in the open interval (4, 7) that satisfies .

Started by ghost!

Without using a calculator, approximately how much does increase as x increases from 9 to 10?

Started by maegan_martin

If the cost of mining x kg of gold is C(x) = A + Bx + Cx2 dollars where A, B, and C are positive ...

Started by natalie2426

The daily cost of production of x widgets in a widget factory is C dollars, where . What is the cost ...

Started by bobbysung

The population (in thousands) of the city of Abbotsford is given by , with t in years and with ...

Started by Shelles

The electrical resistance R of a wire of unit length and cross-sectional radius x is given by R = , ...

Started by NguyenJ

A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 4r2) with ...

Started by ishan