What is (g*h)(x)

Q: Give Three Functions  of Wronskian ?

A: To Give: Wronskian of three functions.   Wronskian:

Q: Explain why the function g(x) = ln(4-x2) + square root of x+1 is continuous at every number in its…

A: Consider the given function g(x). The function g(x) is the sum of two functions f(x) and h(x).First…

Q: Is there a real function f(x) that is differentiable only at a point x?

A:

Q: Differentiate the function.      f(x)  =        ______1______                            In x

A:

Q: Verify Mean Value Theorem for the function f(x) = in interval [0,9]

A: If a function  f(x) is continuous at the range [a, b] and also differentiable in the range (a, b)…

Q: Explain the Wronskian of 2 functions f and g ?

A: Let f and g are the two functions. The Wronskian of the n functions is the determinant of the matrix…

Q: Why does the Mean Value Theorem not apply to the function f(x)=x^(1/2) on the interval [-1,1]?

A: Mean value theorem can be applied on a function f(x) in [a,b] only when the function f(x) is…

Q: Differentiate the function. h(x) In x + x² – 7

A:

Q: 9) State the intervals of increasing and decreasing behavior in the function k(x) = x2 In x?.

A:

Q: Find a polvnomial f(x) of degree 4 with real coefficients and the following zeros. 3,-4, 2+i 1) - 0…

A: Given,  The zeroes of the 4 degree Polynomial f(x) is 3, -4 , 2+i and 2-i.

Q: What is the upper bound of the function? f (x) = 4xª 25x² – 5x = 13 = 4r4 5х -13 --- Enter your…

A: Given : f(x) = 4x⁴ - 25x² - 5x - 13

Q: 2. What is the lilm f(x)?

A: From the given graph in extreme left side we can clearly see that. If x tends to minus infinity then…

Q: Verify Mean value theorem for the function f(x) = 4x³ + x + 3 over the interval [0, 1].

A: Given: f(x)=4x3+x+3, 0, 1

Q: (b) Verify Mean Value Theorem for f(x)= 3x² – 7x – 4 over the interval[–1,4] .

A: Given: fx=3x2-7x-4

Q: theorem if Yet, I think I

A: 1. Ax=h+p 2.∀x.Ax 1.Universal Generalization on 3. Ax→∀x Ax  1,2 Introduction.

Q: A function fis defined by Sx. x<-2 g(x) = bx, x z -2 bx².

A: It is evident that we need to find the value of b if g(x) is continuous. Now,…

Q: How do I show that F(x) are antidervatives of f(x)?

A:

Q: What is the average rate of change of the functin g(x) = 2x^2 -9 on the interval [4,7]

A: g(x)=2x2-9 on the interval [4,7]

Q: Let f: [2,3] → {1,3} be a continuous function such that the equation f(x) - x = 0 has a solution in…

A:

Q: if fcx) = _X then f (-1) is: |-X

A:

Q: Present a combinatorial argument to justify your answer. How many functions are there from {1, · · ·…

A: Consider the given information as, 1,⋯,n to 0,1

Q: X = (1-_-_-_-)* 2 o then f(x) tend:

A:

Q: Find

A:

Q: 66. What will be the function g(x) resulting from normalizing the function f(x) = x³ − x4 defined in…

A: To find : function gx resulting from normalizing the function fx=x3-x4 defined in the domain 0, 34

Q: 4. Verify the Mean Value Theorem for the function y=ln (2x + 3) in

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Q: fully continuous for all x E R by use of the product rule differentiate the function f{x} = x3e-4x

A:

Q: Define wronskian of Two Functions?

A: Wronskian of two function: Let f(x) and g(x) be two differentiable functions, then wronskian of f(x)…

Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

A:

Q: in of (fo f)(x). (Enter your answer using

A: We have to find the following conditions according to the given information

Q: Oz(-@) and Ør(@) are conjugate functions. That is, Px(-@) =Øx°(@) %3D and Oz"(-@) = , (@)

A:

Q: Verify the mean value theorem for the function f(x) =(x²- 3x)(x+2) over the interval -3, 3]

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Q: How to use the standard y = f(x) notation to indicate that (a, b) is an element of the function f?

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Q: Show that x + is increasing on [1, 0).

A:

Q: Verify Mean value theorem for the function f(x)=4x^3 over the interval  [0, 2].

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Q: (b) Verify mean value theorem for f(x)=x² - 5x+6 over the interval [1,3].

A:

Q: Verify the Mean Value Theorem for the function f(x)=x(x- 1)(x- 2) in 0,3

A: Given fx=xx-1x-2 in 0, 3

Q: Differentiate the function. g(x) = In(xe-Sx)

A:

Q: Differentiate the function.   f(x)  = x In x -x

A: Given, fx=x ln x-x

Q: Which of the following is an example of a continuous variable?

A: Here use basic of continuous variable and discrete variables

Q: Differentiate the function. f(x)  = In 1/x

A: Given: The function fx=ln1x, To find: The differentiation of given function.

Q: 5, what is f'(x)?

A:

Q: Suppose G, (x) and G2(x) are both antiderivatives of a function g(x). Using complete 3. sentences,…

A:

Q: Find fqix(q|x) for x € {0,1} and all q.

A: Given Information: Q be the continuous random variable with pdf, fQ (q) =6q(1-q)       ; 0≤q≤10…

Q: hraj h(x) = 3x-2 x347

A:

Q: Show that cosh x> 1 + x² for all x.

A: comparison

Q: Verify Mean value theorem for the function f(x) = 4x° over the interval [0, 2].

A: Question - a Given function, fx=4x3 Interval : [0, 2] Conditions of Mean value theorem: 1. f(x) 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.