Q.No.1.|A f:X→Y where X,Y E Z*, and 02X<23 and, 02 Y<59, X is hour of clock and Y is minute of digital clock, Proof the following a. Is f:X→Y is well defined b. Is f:X→Y a one-to-one correspondence

Q: If the function f:R →R given by f(x) = x' + ax? + bx + 5sin? x is an increasing function, find the…

A:

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A: Lipschitz Function: Let A⊂R, and f(x):A→R, then f(x) is called Lipshitz Function on A if ∃k&gt;0,…

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Q: of Əf Find and дх ду Əf дх — II for the following function. f(x,y) = (5x – 2y)5

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Q: Let function f(x) be defined ás f(x) = x² + bx + c, where b, c are real numbers and f(1) - 2f(5) +…

A: Clues : Let the function f(x) be defined as f (x)  = x²+bx+c where b, c are real numbers and f(₁)…

Q: 7. Find the function U, whose first difference is *C

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Q: V

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the IVT to show that f (x) = x3 + x takes on the value 9 for some x in [1, 2].

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Q: Q7. Check if the following functions are Orthogonal or not? fi(x) = x* , f2(x) = x² + 1 (-1, 1] %3D…

A: Two functions, f1 and f2 are said to be orthogonal if &lt;f1,f2&gt;=0 over the common domain of the…

Q: Transform the function y=6x-1rlght 3, down 4 , and reflected over the x-axis

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Q: 4. (a) (b) Let f : X → Y and g: Y→ Z be functions. Prove the following statements. If gof is…

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Q: Find real numbers a,b,c,d such that And then find f'(z) =? f(x) = x² + axy + by² +1(cz² + day + y²).

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Q: Let P(A) = 0.4 "and " P(AU B) = 0.6. For what value of P(B) are A "and " B are independent?

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Q: Note: N denotes the set of natural numbers, Z denotes the set of integers, and R denotes the Net of…

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Q: Let f(r) = 2x3 - 6x + 5 then f(x) is increasing on |3D Select one: O a (-00,-1], [6, 0) Ob.(-o,-1],…

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Q: Consider a function f defined from the interval [4, 7] to the interval [4, 7]. Which of the…

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Q: Find if the following is homothetic: F (x,y) = x²y +y3 %3D 1. Yes, it is homothetic. 2. No, it is…

A: topic -  homogenous funtion

Q: Given the function f(x, y, z) = (x + y)2(x + y² +z): Is the function satisfiable, and if so, which…

A: A function f(x, y, z) is satisfiable if there exist atleast one particular set of values of x, y,…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.