# Recent questions in Integral Calculus

Differential equations

Decimals

### Change the following decimals to fractions. Give each fraction in its simplest form. a) 4.2, b) 0.06, c) 1.85, d) 2.005.

Differential equations

### $$\displaystyle{d}^{{2}}\frac{{y}}{{\left.{d}{x}\right.}^{{2}}}−{2}\frac{{\left.{d}{y}\right.}}{{\left.{d}{x}\right.}}+{10}{y}={0}$$ where $$x=0;y=0$$ and $$\displaystyle\frac{{\left.{d}{y}\right.}}{{\left.{d}{x}\right.}}={4}?{x}={0};{y}={0}$$ and $$\displaystyle\frac{{\left.{d}{y}\right.}}{{\left.{d}{x}\right.}}={4}$$?

Differential equations

Decimals

### Change the following decimals to fractions. Give each fraction in its simplest form. a) 4.2, b) 0.06, c) 1.85, d) 2.005.

Differential equations

Decimals

### Write the decimals in words. Write the money amounts in words for dollars and fractions for cents. Write the words in decimals. 0.4

Applications of integrals

Integrals

### Use a double integral to find the area of the region. The region inside the cardioid $$r=1+\cos \theta$$ and outside the circle $$r=3 \cos \theta$$

Differential equations

Decimals

### 1) Find the area of the part of the plane 4x + 3y + z = 12 that lies in the first octant. 2) Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid $$z = 5 + 2x^2 + 2y^2$$ and the plane z = 11 in the first octant

Differential equations

Integrals