The length of a rectangle is represented by 4a + 4b, and its width is represented by 4a − 2b. enter the polynomial for the perimeter of the rectangle. what is the minimum perimeter of the rectangle if a = 12 and b is a non-zero whole number?

Find the gradient of f(x,y,z)equals=left parenthesis x squared plus y squared plus z squared right parenthesis superscript negative 1 divided by 2 baseline plus ln left parenthesis x right parenthesis x2+y2+z2−1/2+ln(xyz) at the point left parenthesis negative 2 comma 1 comma negative 2 right parenthesis(−2,1,−2).

Asailor is looking at a kite. if he is looking at the kite at an angle of elevation of 36and the distance from the boat to the point where the kite is directly overhead is 40 feet, how high is the kite?

Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.