Let Pr[A]=0.6, Pr[B]=0.7, and Pr[A u B]=0.8  find Pr[A/B]

Q: Use the linear approximation to estimate Af = f(3.4) – f(3) for f(x) = : 1+x² (Use decimal notation.…

A: Given function is fx=41+x2 and ∇f=f3.4−f3. Linear approximation formula is given by Lx=f'ax−a−fa…

Q: Let T ∼ Γ (4, 0.7).   Find P(T ≤ 1). (Round the final answer to four decimal places.)

A: The random variable i.e. T follows the gamma distribution with

Q: Write a function newt (f, df, x0) which implements Newton's method to identify a root of the…

A:

Q: compute the derivative. r(1) = (7 – 1, 4 ī, 8)

A: The given function is rt=7-t,4t,8.

Q: Let​ f(t) be the temperature of a cup of coffee t minutes after it has been poured. Interpret…

A: Given, temperature of coffee at t minutes is f(t). Temperature at 9min, f(9) = 110 degree f'(9) =-7…

Q: Let n be a positive integer. Define the function fn(z) by dn dzn Find the value of fn(-1+i).…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: 1) Find the domain of the real-valued function given below 3 f(x) = VT – 2

A: Given that: f(x)=x-3x-2

Q: Find the derivative [ x ] dt O O O O

A:

Q: Find all the values of In(4 – 4j). What is its principal value?

A:

Q: Let f(x) = V1+x. Estimate the change in f from x = 7 to x = 7.5 using linear approximation. %3D

A:

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) =…

A:

Q: x C C X y X Find the derivative for the function f(x): || || = = 5 | 5 5 x2 X 1 5x2 1 5x2

A:

Q: (e) [ - V TVT - 1 dr

A: to evaluate the integral.

Q: Find the linearization of the function f (x) = a° at a = 1.

A:

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.