Every time a function is composed with itself, it is calle an iteration. Iterations can be noted using a superscri Function compositions can create iterations as well. <-----EXAMPLE

Q: What value should be assigned to c so that f(x) = - the set of real numbers? x²+x-20 x-4 3c x < 4 x…

A: Given that,fx=x2+x-20x-4x&lt;43cx≥4The value of c is determined so that f(x) is continuous over the…

Q: What is a root correct to three decimal places of the equation x^3  – 3x= 5 by Using Newton-Raphson…

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Q: +3u +5u -u +10u =0 is of 6. Show that the equation 3u -2u +2u-2u -21x₂x3 xqJ₂ x-x₂ elliptic type by…

A: Coefficients of fifth term of tha last expression will be negative

Q: A purchase order for the book The Mathematics for the Modern World by Dale Hathaway with the ISBN…

A: Each edition and version of a publication is given its own ISBN. A distinct ISBN will be assigned to…

Q: Example of a function that is dot convergent but not uniformly convergent

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Q: 1 A=-1 -1 1 1 1 det A =

A: The following steps are used to obtain the solution. Enter the matrix A at the MATLAB prompt ≫. Use…

Q: 2°) Write the volume integral of the solid bounded by Z = √ x² + y²² and Z= √2-x²=y2², in a)…

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Q: Find the feasibility region bounded by the following systems linear inequalities. Find the critical…

A: Draw the lines x=10, y=3, x-y=0, x=0, y=0 on the graph paper and mark the darkest portion.

Q: consider the following: u = , v = (a) Find the projection of u onto v. (b) Find the vector…

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Q: 4. If f(x)= and g(x)=determine the domain of g(f(x))?

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Q: Determine if the inverse and the transpose of a positive definite matrix B are necessarily positive…

A: Proof:         Given that B is symmetric positive definite matrix.  NOTE:  B is symmetric positive…

Q: Example of a function that is dot convergent but not uniformly convergent

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Q: Using spherical coordinates, the volume of the solid inside the sphere 3√3 x² + y² + z² = 9 and…

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Q: Example 8.8. From the table below, for what value of x, y is minimum? Also find this value of y. **…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: II. Solve the initial value problem. 1 y= dr x+1 *(x + 1)¹3(e) = 1 (b) / + y tan r= cos² r, y(0) =…

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Q: r 1. Let D = ar n C/m² in free space a) Find E at r = 0.2 m c) Find the total electric flux leaving…

A: Solution :-

Q: Evaluate the following: a. L-1 -1 b. L-¹1² c. L-1a²s [3+12s] s² 9s²+2b. S3 a²s²-2abs+2b² S3

A: These results follow using standard formulas for laplace transforms. The detailed solutions typset…

Q: UA_n is open where A_n=(n-1,n).

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Q: Consider the function f(x) = x = [0,2]. Construct the , Lagrange interpolation polynomial which…

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Q: III 1. dt2 fip +6- dt and the gen +8y=2e-3t am to nor 2. d'y dt2 fip +4 +13y=et dt 3. +10y = e

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 5. Write the solution set of the given homogeneous system in parametric vector form. X1 2x2 2x3 +…

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Q: At time t≥ 0, the velocity of a body moving along the horizontal s-axis is v= t² - 4t + 3. (a) Find…

A: given at t≥0 the  velocity of the body moving along horizontal s-axis is v=t2-4t+3

Q: Let G be a group and H, KG normal subgroups of G. Prove HnK≤ G.

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Q: find the residue at each pole of the function 1 f(z) = (2² - 2x + 2)² 2z

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Q: Given the system of linear equations, X + Y 2, X + 2y + Z 3, X + Y + (k²-5)z k, where k is a…

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Q: Find the angle ? between the vectors in radians and in degrees. u = 5i + 4j + k v = 4i − 5j

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Q: 2 x ² d ² y dx² 2. 2x dy x= + dx + (x² +1)y=0

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Q: Exercise 8.1.15. Suppose N G. If N is abelian, and G/N is abelian, does G have to be abelian? Give a…

A: Suppose N⊲ G. If N is abelian, and G/N is abelian, Now we  prove that G is abelian with the help of…

Q: Define F.: Rx R→ RX R as follows: F(x, y) = Select all the choices that are true: OF is one-to-one.…

A: One-one function: This function never maps distinct elements of the domain to the same element of…

Q: 7.) Solve а) y'+y'-by=0 6-) у"-ну' +13y=0 с.) у" -бу' +ац=0

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Q: The shape of Oklahoma can almost be divided into 2 perfect rectangles and 1 triangle. About how many…

A: To find the area of the Okiahome cover.

Q: 2. If f(x)=((-4,4)(-3,0)(-2,8)(-1,-2)(0,-4) (1,5)) and g(x)=((-3,0)(-1,6)(1,-4) (3,-2)), determine…

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Q: тен Solve the following differential equations Using D-Operator SITT 804 1.(D² - 2D-8)y = 6Cash 4x…

A: 1) The given differential equation is: D2-2D-8y=6cosh 4x The corresponding auxiliary equation is:…

Q: Q4:a) Which of the following is a planar gaph? and what the chromatic number x(G) of each graph? 1)…

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Q: d. What is the area of the circle with one part missing? e. Describe the surface area of the cone.…

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Q: Solve the following initial value problem. = Y -5y1 + y2 y₂ = -2y₁ - 2y2 y₁(0) = 1, y₂(0) = 3.

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Q: does

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Q: Suppose that f and g are both continuous functions. Also f, ge [a, b] and b that f f = fg. Prove…

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Q: 5. Calculate the L and U matrix and proof that PA=LU. 10 -7 0 A = -3 26 5 -15

A: Firstly I find lower triangular matrix LL and an upper triangular matrix UU And the show that PA=…

Q: Consider the surface S given by: S : r(u, v) = (uv, u² + v³, 3v²), u = [0, 2], v = [0, ³/] whose…

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Q: The wave equation 2-10² may be studied by separation of variables: u(x, t) = X(x)T(t). Which of the…

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Q: A plane traveling at 485 km/h [N60°E] encounters a 75 km/h wind that blows it 6° off course.…

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Q: 8. The value V (in thousands of dollars) of an industrial machine is modeled by V(N) = (3N + 430)…

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Q: (1 point) Use the method of undetermined coefficients to solve the following differential equation:…

A: We have to find the general solution of the differential equation y''+4y=4x by using the method of…

Q: 6) Mixture Problem: Two large tanks, each holding loot of liquid, are interconnected by Pipes, with…

A: Given- Two large tanks each holding 100L of liquid, are interconnected by pipes with the liquid…

Q: The following graph is k-colourable(f), find the value of k?

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Q: Consider the curve C which is the intersection of the surfaces shown in the attached figure.

A: To evaluate the below integral. ∫Cx−y−2zds

Q: Choose the right answer from following If X={a,b} and T={Ø,X,{a},{b}} is topology on X, then (X,T)…

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Q: Problem no10 Find gen. sol. I you +12y" +HOy² = 0 (0)²² (0)8 PPSH+vH¬"v

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Q: 12. Find the value of x for m48-46 and CD-25. (The figure is not drawn to scale.) D B A. 35.5 B.…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…