5380

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{3}f(x)dx  where f(x)=|x|+|x-1|+|x-2|



5379

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{-1}^{1}\sqrt{|x|-x} dx



5378

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{\frac{\pi}{2}}|Cosx|dx



5377

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{1}^{3}|x^2-2x|dx



5376

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{-5}^{6}|x+2|dx



5375

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{\frac{\pi}{2}}log(tanx)dx



5374

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{\frac{-\pi}{3}}^{\frac{\pi}{3}}(x^2Sinx+tan^3x)dx



5373

Mathematics Integration Level: Misc Level

Solve the following integral using properties of definite integrals

\int_{0}^{2}\frac{x-1}{|x-1|}dx



5372

Mathematics Integration Level: Misc Level

What are the properties of definite integrals?



5371

Physics Heat & Thermodynamics Level: Misc Level

The Concorde is 62 m long when its temperature is 23o C. In flight, the outer skin of this supersonic aircraft can reach 115o C due to air friction. The coefficent of linear expansion of the skin is 1.8 x 10-5 /oC. Find the amount by which the Concorde expands.



5370

Physics Units Level: Misc Level

Dermatologists often remove small precancerous skin lesions by freezing them quickly with liquid nitrogen , which has a temprature of 77K.

(a) What is this tempurature on the Celsius scale?---%C

(b) What is this temperature on the Fahrenheit scale?-----%F



5369

Physics Units Level: Misc Level

A personal computer is designed to operate over the temperature range from 53o to 109o F.

(a) To what do these temperatures correspond on the Celsius scale?----%C to ----% C

(b) To what do these temperatures correspond on the Kelvin scele?----K to ----K



5368

Physics Electrostatics Level: Misc Level

The potential at a certain distance from a point charge is 600 Volts, and the electric field strength  is 200 N/C (Newtons per Coulomb).

(a) What is the distance to the point charge?

(b) What is the magnitude of the charge?



5367

Physics Electrostatics Level: Misc Level

Each of two small spheres is positively charged ,the combined charge totalling 4 10-8 C. What is the charge on each sphere if they are repelled with a force of 2.7 10-5 N when placed 0.1 metres apart?



5366

Physics Heat & Thermodynamics Level: Misc Level

A refrigerator opertes in a cyclic and reversible manner between 0 and 27o C.How much work must be done in freezing 1 L of water ?Calculate the coefficient of performance given that the latent heat of fusion of water is 334.72 J/g.

Displaying 1411-1425 of 6371 results.

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