Suppose lim f (x) = 5, lim g (x) = 6, and f (x) 2 III. 5 < lim h (x)< 6

Q: 2. Show that (2) (¹)+(2-1). Can you provide = an interpretation of this equality?

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Q: √√7+X + find x + 2-X + 14-5X-x2 = x + 2 x+9

A: We need to solve the equation: 7+x+2-x+14-5x-x2=x2+x+9.

Q: Hw/ If 2x, - X2 + 3 X3=2 メi+3X2- メ3=11 2 Xー2×2+ 5X3=3 %3D Then Find The values X, X2

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Q: Find the orthogonal projection of onto the subspace W of R4 spanned by projw() = -9 -4 -8 8 20 NHAW…

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Q: B. Express the ff atticher whit with general Form quadortic function. 1. 2 9=C++3) ²-3 FLAMU

A: The general form of a quadratic function is

Q: If (2x, 3) = (2, 3y). What is the value of x and y? *

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Q: If x>Q3 + 1.5 X IQR then x is an

A: We call a data point an outlier if it lies 1.5 times IQR below the first quartile (Q1) or 1.5 times…

Q: If Xo and X, are two numbers with Xo F(X1) O B. F(XO) = F(X1) O C. None of the above O D. F(X0) <…

A: It depends on the conditions; If F is a increasing function then option D is correct. If F is…

Q: Help please to prove this by contradiction if x+ y &lt; 10,  then x&lt; 5 or  y&lt; 5.

A: To prove the statement "if x+y&lt;10, then x&lt;5 or y&lt;5" by contradiction, we follow these…

Q: 2. (3x+5)+(2x – 3)

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Q: If 50 f(x) dx exists, then f(x) da exists for every real number b> a

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Q: Linearize the following differential equation about point, x= T/3. d²x +2 dt? dx + sin x=0 dt

A: Answer:

Q: What is the inverse of the function y = 9x2 + 12x +4? What domain restrictions are necessary?…

A: Given y = 9x2+12x+4let inverse of y = f-1(x)

Q: Which of the following words or phrases would indicate that an inequality should be used to model a…

A: "At least" means "more than that or the same" means "greater than or equal to". Hence "at least" is…

Q: x+1 1. 20 x-3 x-2 2. <0 3. x*-4x x-1

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Q: :Find values of x if 2 1 2 = 0 1 2 13 6.

A: Let the given matrix be A, Given, |A| = 0

Q: If Xo and X, are two numbers with Xo < X, then the true one is

A: Answer:-  Option D is the correct answer.

Q: If 0<x<4 then a < 6x + 2<b   a= b=

A: In this question, we need to find the values of a and b.

Q: lo) Let x-16 X+4 >メキ-4 K Xニー4

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Q: For the following claim Below you must disprove it. "For all integers x, x^2 + 1 is odd" Use the…

A: for example take x=3 .  then x^2 +1=10 , which is even.

Q: 1. What are the zeros to the following quadratic function? 3 2 -2 -1 0 1 2 4 5 6 -1 -2 -3

A: See the details solution given below

Q: Given the functions f(x) = ax - 1 and g(x) = bx² + 3x + 5, determine the value of a and b if (g.…

A: Given f(x)=ax-1 and  g(x)=bx2+3x+5 And…

Q: If a + 0, the degree of ax"y" is

A: Degree of a term is the highest power of variable if term has only one variable and degree of term…

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Q: Prove that x -2x+2>0 for value of x.

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Q: 4. Find a number 8 >0 such that if Ix-10] < & then |(2x + 3)-23|< 0.25.

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: +9. -3 if f(z) = -1 if -4 if > Next Question

A: From the graph, find the value of x so that value of f(x) is satisfied.

Q: a) k(-13)  b) k(9) c) k(26)  k(-13)=  Given the function k described by k(x)=6x, find each of the…

A: (a)Given information:

Q: B. INSTRUCTION: Perform the indicated operation. rx) = 9x - 15 9(x) = 2x h(x) = GIVEN: Find: 4. g(x)…

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.