1914 0I1 au of oldizzog uelle soilgub the quadratic formula, 4a3 1 -b ±,b2 + 2 y3 27 RESTAN $7 from which y and then x can be determined. Use this method to find a root of the cubics x3 + 81x = 702 and +6x2 +18x +13 = 0. [Hint: /142,884 = 378.] IS 13. By making the substitution x = y +5/y, find a root of the cubic equation x3= 15x 126. 14. Use Cardan's formula to find, in these examples of the irreducible case in cubics, a root of the given equations. (a) x= 63x +162 [Hint: 81 30/-3 = (-3 ±2/-3)3.] CU (b) x3= 7x +6. 3 10 3 -3 L21 (c) x6- 2x2 +5x. Hint: 3 + -3 2 11 nolo -3 = 3 28 5 3 5 --3 Hint: + 27 6 15. The great Persian poet, Omar Khayyam (circa 1050-1130), found a geometric solution of the cubic equation x3a2x = b by using a pair of intersecting conic sections. In modern notation, he first constructed the parabola x2 diameter AC = b/a2 on the x-axis, and let P be the point of intersection of the semicircle with the parabola (see the figure). A perpendicular is dropped = ay. Then he drew a semicircle with from P to the r-axis to nroduce a nint QUNCKN

Q: Let A be an m x n matrix, and let B and C have sizes for which the indicated sums and products are…

A: If the product AB is defined, the entry in row i and column j of AB is the sum of the products of…

Q: 25+2=

A: First we calculate 2^5.2^5= 2x2x2x2x2=32

Q: 10+7=?

A:

Q: Answer number 4

A:

Q: 3 + 4 = jbygy

A: 3+4=7

Q: ex- 12

A: Given: y=ex-12 we know that am-n=aman

Q: Find g C4

A: Here we have to find the value of 9C4.

Q: 7rer dr =

A:

Q: Number 284

A: Given revenue function: R(x)=-x2+8x

Q: Evaluate -up-

A:

Q: at 9

A: To find the given integral.

Q: Answer number 2

A: Use property of logarithms

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.