7. In the figure shown, ADEF-ARST. 12 x +5 x + 6 x +7 E S x + 12 Which equation can be used to find the value of x? O A. x+7 = 6 B. x+7 = 12 C. X+6 12 x+5 O D. X+7 x+5 X+6 X+12

Q: Use the given information to find the unknown value.   y varies inversely with the cube of x. When…

A: It is given that, y varies inversely with the cube of x

Q: In the given equation , sketch the graph of the function.   y = ex -1

A: The given function is y=ex-1. Sketch the graph of the above function as shown below.

Q: If a = 38, find the value of x. %3D

A:

Q: Identify, sketch and name the graph of the equation in R³. Z = 1 – lny

A: Solution:Z = 1-ln(y)ln(y) = 1-Zy = e1-zy - e1-z = 0f(x,y,z) = y - e1-z = 0Traces xy plane (Z= 0) y -…

Q: should the exponential of W = 4∠60°  not be 4ej1.05 rather than W=4ej60°

A: Actually the are the same, as the both give nearly same value. The explanation is provided in the…

Q: Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second…

A:

Q: Use the given information to find the unknown value.   y varies inversely with the cube of x. When…

A:

Q: 45°C ->F° 1001

A: Given 1 45°C→°F2 100°F→°C3 110°F→°C

Q: Suppose x varies inversely as y and x = 16 and y = 5. Find the value of x when y = 20.

A: The solution is :

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.