Other Math Answers

A firm uses two inputs, K and L to manufacture final product. The price per unit of these inputs are sh. 20 and sh. 4 respectively. What combination of inputs should a firm use to maximize output given that the budget is fixed at sh. 390?

Find the roots of the equation
2x^3-x^2-22x-24=0
if two of them are in the
ratio 4:3 .

Obtain the discriminant of the equation 2x^3-23x^2+82x-78=0
Hence provide the nature of its roots.

Find the polynomial over R of least degree which has i−3 and √7+5i as its
roots.

x/5=80%. Which number makes this true?

An ant lives on the surface of a cube with edges of length 7cm. It is currently
located on an edge x
cm from one of its ends. While traveling on the surface of the cube,
it has to reach the grain located on the opposite edge (also a
t a distance xcm from one of its ends)
.
(i) What is the length of the shortest route to the grain if x = 2cm? How many routes of
this length are there?
(ii) Find an x for which there are four distinct shortest length routes to the grain.

Terry is buying juice. He needs 3 L. A half liter of juice cost $2.39. A 250 mL container of juice c Play needs 3 L. A half liter of juice cost $2.39. A 250 mL container of juice costs $1.69.What should Terry buy so he gets 3 Liters at the lowest price? Explain

calculate the third degree Taylor polynomial about x0=0 for f(x)= (1+x)^1/2

find the minimum number of intervals required to evaluate integration 0 to 1 e^-xdx with an accuracy of 1/2 X 10^-4, by using the trapezoidal rule.

Determine the direction in which the scalar field
φ( x, y) = xy^2 + x^3y increases the
fastest at the point (1, 2).