Prove that the average value of the function f(t) = over [1,2] is equal to In 2. A t

Q: Find the standard form of the equation of a circle given the following conditions. 11. Radius is √5…

A: To find the equation of the circle passing through A:= (-4,2) and B:= (-3,-1) having a radius, r= 5.

Q: Find X(Z) if X(K)= K=1,3,5,7 This means that its value is an odd number X(Z) = Σ-o X(K)Z−k Let…

A: Given X(K)=12k, k=1,3,5,7,...             (1) Here X(Z)=∑k=1∞X(K)Z-k             (2)  Note*   here k…

Q: Five years ago, Marcus' age was half of the age he will be in 8 years. How old is Marcus today?…

A: Present age consider as x. Past age is (negative sign). Future age is (positive sign).

Q: Figure Y Part A Determine the moment of inertia of the composite area about the axis Set a = 250…

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Q: In the following system Problem, categorize the eigenvalues and eigenvectors of the coefficient…

A: A non-zero vector x is called an eigenvector of the matrix A if it satisfies the equation Ax=λx.…

Q: t the functions 1 Hifferential equation mot. 1 1 and 2 = are solutions of t +1 x" + 2xx' = 0, but x3…

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Q: Use separation of variables to find any solution to the partial differential equation uxt=x²e4t

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Q: determine projection of the vector b = -1 1 1 on the space generated by the vectors {--E)--[ -[+]}…

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Q: Four years ago, Beth was twice as old as Jane. Four years from now, Jane will be 34 of Beth's age.…

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Q: The characteristic equation of the matrix is 2³-122-16 = 0. The reduction of the following matrix…

A: The characteristic equation of a given matrix is ;  λ3-12λ-16 = 0 The reduction of matrix expression…

Q: Describe the first two steps you would take in approaching each of the following problems. a) 3x² b)…

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Q: CCSX-D erval [1.5, 2] DA

A: The given equation is 0.5ex-e-x+5 cos x =2 Consider the function fx=0.5ex-e-x+5 cos x -2

Q: I could write on paper, I didn't understand

A: a Given function is z=4x2y−sin3x−4y. We have to find the total differential of the given function.…

Q: For each course at a university, there may be one or moreother courses that are its prerequisites.…

A: Given: There may be one or more other courses that are its prerequisites for each course at a…

Q: How can you use the slopes of tangents to determine whether a function is increasing, decreasing, at…

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Q: In each of Problems 11 through 14, find and plot both the steady periodic solution xsp(t) = C cos(@t…

A: Given : x''+6x'+13x=10 sin5t       ;  x0=x'0=0 To Find : Steady periodic sol and actual sol

Q: X 20° 55°

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Q: where p = √√x² + y². δ(x) 6(!) = δ(ρ) Σπρ

A: To prove : delta(x) * delta(y) = (delta(rho))/(2pi*rho) where rho = sqrt(x ^ 2 + y ^ 2)

Q: Q2) Find $dz 1. around unit circle of radius 1 and center at (0, 0) counterclockwise. 2. By using…

A: What is Complex Integration: Like a real valued function, a complex valued function can also be…

Q: Can you please be more clear with step B? I am having trouble understanding/reading it! Also Since…

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: Determine whether the graph shown hasdirected or undirected edges, whether it has multiple edges,and…

A: Given: The below graph: And the given table is: To check: The graph has directed or undirected…

Q: (10) Write each of the following sets in the form of listing its elements (i.e. in the form {a,b,c}…

A: What is Power Set: Power set is very significant in set theory. Every set has a subset. Two improper…

Q: EX: Find all residues of f(Z) = Sol: f(z)= 50 Z x₁ = [ -=520- 7/42-7] 2-4 (Z+4)(Z-1)² 12= L 11 d 10…

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Q: The Z-transform of the following function f[k] = 2.2+(-5)* − 3 (-4)* is so the constants A and B…

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Q: Imagine that you are designing a taggant (a microscopic particle or molecular solution that can be…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: The intersection graph of a collection of sets A1, A2, ..., A, is the graph that has a vertex for…

A: Part (A):- Given information is A1 = 0, 2,  4, 6, 8,   A2 = 0, 1, 2,  3, 4A3 = 1, 3, 5, 7, 9,  A4 =…

Q: Find the arc length of C = 1.5 - 2.1 First find and simplify√1 + y2² Now integrate to find arc…

A: Hint: Here in order to solve we will use formula of arc length, L =∫ab1+(y')2dx, where a≤x≤b.

Q: EX: Find all residues of f(z) = Sol: there are f(z)= 50 Z (Z+4)(Z-1)² x₁ = [ 352 1 12- L 50 Z 32²2²…

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Q: Explain the difference between "Mathematics In Nature and Nature of Mathematics" with examples.

A: Given Data: The question of mathematics in nature and the nature of mathematics must be discussed…

Q: Problem 6: Using contour integration and Jordan's lemma, verify that for any a, b>0 L x sin(ax) x²…

A: Given : a>0 ,a>b To verify : ∫-∞∞x sinaxx2+b2dx=πe-ab

Q: (b) where p = √x² + y². δ(x) δ(y) δ(ρ) Σπρ

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

Q: 6. ((P ^ Q) v R) → P ^ (Q v R)

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Q: Question: Inside in the House Look for four (4). objects(except: Flower Petals, Sunflower, Banana,…

A: We need to explain one example of Fibonacci numbers that can be observe in home.

Q: Given a curve C: r(t) = [10cos t, 1, 10sin t], find a tangent vector r'(t). a unit tangent vector…

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Q: ? then ? ? ? Are the following statements true or false? 1. If 7 is a vector field in 3-dimensional…

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Q: Calculate Sf(F(t)) | (t)) dt f √ √ √x + 1 (x+y+z) ds where C is the helix r(t) = (cos(t), sin(t),…

A: What is Line Integral: A line integral in mathematics is an integral in which the function to be…

Q: B Let A = {(x,y) |x-yeQ for x, y = R} be a relation on K. Which statement best describes problem?…

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Q: II. Verify if the indicated equation is an explicit or implicit solution of the given DE.…

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Q: Anthropologists use a linear model that relates femur length l to height h. The model allows an…

A: Given, Femur length l (cm) Height h(cm) 50.1 178.3 48.3 173.6 45.2 164.8 44.7 163.6…

Q: 1 dx a) x²+2x+2 da ∞ con 18

A: Since you post more than one non interlinking questions, as per our guideline we can solve only…

Q: explain the nature of mathematics with exaple

A: Hint: First explain the nature if mathematics then given an example of nature of mathematics.

Q: Find the standard form of the equation of a circle given the following conditions. 9. Diameter is 12…

A: The standard form of a circle is defined as: x-h2+y-k2=r2, where h, k is the center and r is the…

Q: Explain Complex Eigenvalues?

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Q: 5. Solve x³x+15= 0 (mod 63). (Don't just list solutions! Consider modulo 7 and 9 then use the…

A: As given in the hint we use the Chinese Remainder Theorem to solve this question. The details…

Q: EX: Find the Z. T. of X(X) = cas wok u(k) 8 iwok -iwok Sol:- X(Z) = - IN Σ coswok. Z k=o == {(² z ¹²…

A: What is Z-transformation: A mathematical technique called the Z-transform is used to transform…

Q: Two integers are of the same parity if they are both even or both odd. Prove that if x and y are of…

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Q: Problem 3 GREEN'S THEOREM Consider the region bounded above by the curve y = 3-² and below by the…

A: Given: D region bounded above by curve y=3-x2 and below by curve y=x4+1 and the vector field…

Q: In each of Problems 11 through 14, find and plot both the steady periodic solution xsp(t) = C cos(@t…

A: 11. Given,              x''+4x'+5x=10cos3t;    x(0)=x'(0)=0

Q: Use separation of variables to solve the differential equation dQ/dt=r(a+bQ), Q(0)=Q0, where a,…

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Q: Determine if the following series is convergent or divergent. (-10)" Σ 4²n+1 (n+1) n=1 O 1/2 O 10/16…

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