Questions from General Calculus

Q: Use differentials to estimate the amount of paint needed to apply a

Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with diameter 50 m.

Q: (a). Use differentials to find a formula for the approximate

(a). Use differentials to find a formula for the approximate volume of a thin cylindrical shell with height h, inner radius r, and thickness ∆r. (b). What is the error involved in using the formula fr...

Q: One side of a right triangle is known to be 20 cm

One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 300, with a possible error of ±10. (a) Use differentials to estimate the error in computing the length of t...

Q: When blood flows along a blood vessel, the flux F (

When blood flows along a blood vessel, the flux F (the volume of blood per unit time that flows past a given point) is proportional to the fourth power of the radius R of the blood vessel: F = kR4 (Th...

Q: Use logarithmic differentiation to find the derivative of the function.

Use logarithmic differentiation to find the derivative of the function. y = √x ex2 (x2 + 1)10

Q: Use logarithmic differentiation to find the derivative of the function.

Use logarithmic differentiation to find the derivative of the function. y = sin2x tan4x/ (x2 + 1)2

Q: Use logarithmic differentiation to find the derivative of the function.

Use logarithmic differentiation to find the derivative of the function. y = 4√ (x2 + 1/x2 – 1)

Q: Use logarithmic differentiation to find the derivative of the function.

Use logarithmic differentiation to find the derivative of the function. y = xx

Q: Use logarithmic differentiation to find the derivative of the function.

Use logarithmic differentiation to find the derivative of the function. y = x cos x

Q: Use logarithmic differentiation to find the derivative of the function.

Use logarithmic differentiation to find the derivative of the function. y = (cos x) x