18 Chapters
TEST-BANK for
Calculus: A Complete Course
8th Edition
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Sample Questions
- A triangle T has vertices (xj, yj), j = 1, 2, 3 (where each xj > 0). If the volume of the solid of ...
- Find the mass of a thin plate that occupies the planar region described by 0 y sin(2x), 0 x if ...
- Find the Taylor polynomial of degree 4 for the natural logarithm function ln x about x = 2.
- Find the general solution of the differential equation y" + 2y' + 2y = cos x.
- The differential equation 2y" + xy' + y = 0 has a power series solution for some constant real ...
- Find a homogeneous linear second-order differential equation with constant coefficient having ...
- Using the definition of the derivative, find the derivative of f(x) = .
- A body of mass m = (kg) is attached to the end of a spring with Hooke's constant k = 50 (N/m) and is ...
- Factor x4 + 4x3 + 4x2 - 9 into a product of linear factors and quadratic factors having no real roots.
- A vertical cylindrical container 10 m high and 6 m in diameter is half full of water. Find, to 4 ...
- Find the general solution of the differential equation y" + 3y = cos x.
- If f(x) = , calculate the derivative of f at x = 0 directly from the definition of the derivative.
- Solve the following initial-value problem:cos(x)y' + sin(x)y = 2 cos3(x) sin(x) - 1, y() = 3, 0 x .
- Find the general solution of the differential equation y" + 4y = 0.
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