Use the definition of continuity and the properties of limits to show that the function k(x)= √8-x^2/2x^2-5. is continuous at x = -2

Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the equation 4 p plus 4 x plus 2 pxequals56. suppose also that p and x are both functions of time, measured in days. find the rate at which x is changing when xequals2, pequals6, and startfraction dp over dt endfraction equals1.5.

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. find the number.

Aright triangle has an area of 21 m2. the dimensions of the triangle are increased by a scale factor of 4. what is the area of the new triangle