Two runners start a race at the same time and finish in a tie.Prove that at some time during the race they have the samespeed.

Q: 6) Find f'(-2) for each of the following functions.

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Q: Express V as the value of the farm inherited by a man having P1,000,000.00 worth of building,…

A: It is required to express the value of farm V.

Q: A certain unit produced by the company can be sold for 200-0.02x pesos where x is the number of unit…

A: We need to find out the price  per unit that will maximize the revenue.

Q: ス3 -2ンX

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Q: can you do the resr

A: Let's solve 6th question.  Please repost for other parts.

Q: Solve. Enter your answers as a comma-separated list. v-10/v2-5v+4  =  3/v-1   -    5/v-4

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Q: Solve. x= x+3 6 x-3 7 = -8

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Q: Let a = (-1,0, 5) and 6 = (3,-1,0). Find à x 6. < V

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Q: If a = (2, -1, 3) and b = (2, 2, 1), find the following. a x b = b x a =

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Q: Select ALL of the values of the set of x that makes the following true. -6 > -4x – 18 3 -5 -10 -3

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Q: Sound City sells the ClearTone-400 satellite car radio. For this radio, historical sales records…

A: The estimated probability distribution of X is given below: No. of Radio Weeks P(x) 0 5 0.05…

Q: Solve. Vy+5 = 2

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Q: Match these values of r with the accompanying scatterplots: 0.465, - 0.465, -0.797, 1, and 0.797. oe…

A: Scatter plots' are primarily used to observe and show relationships between two numeric variables.…

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.