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Q: Let a ER and set fa: R→R: xx+1|-2|2x|+ a. S(a)= {r ER: fa(x)=0}. (So, S(a) is a set). P= {a € R:…
A: Given information fa : ℝ→ℝ : x→x+1 -22-x +a Sa = x∈ℝ : fax =0 P = a∈R : Sa = ϕ Qa = x∈ℝ : fax…
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A: Given, fx,y=x2+y2-4x+4gx,y=2x-y2-1 Now, fxx,y=2x-4fyx,y=2ygxx,y=2gyx,y=-2y Now, fxx,y=02x-4=0x=2…
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Q: Q6. Using Trapezoidal Rule, evaluate the integral ſ³(3x² + 2x + 5) dx. Use Ax = 0.25.
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Q: Determine the Laplace transform of the differential equation. y² + 4y y (0) = 0 = Cost;
A: Sol:- y' +4y=costTake Laplace transform of both sides of the equationLy'…
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A: Let us solve the given Hamiltonian circuit problem in the next step.
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Q: (b) Draw the complex plane, locate the elements of the set {ze Cz(1+i) = R}, and provide an…
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Q: What geometric transformation of 3D space happens in this matrix-vector multiplication? ')· (3) 00…
A: Given 00-1010100x1x2x3 Here we can find the result of multiplication and compared to the vector.…
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Q: Find the domain and range of the given functions below. 1. f(x) = 4x² 2. f(x) = -√√x +3 3. f(x)=x²-5
A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…
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Q: 2. |x| = 11,|y| = 23, and |x - y = 30, determine the length of x + y. Include a diagram as a part of…
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Q: Advanced Math Sketch the region onto which the sector {re^(10) E C|0 ≤r≤ 1,0 ≤ 0 ≤ 4} is mapped by…
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Q: Mr. Johnson invested R25 000 at a rate of 9,95% p.a. compounded quarterly. How long will it take for…
A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…
Q: Determine the following value: 1. F20 + F30
A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…
Q: Use the Fundamental Theorem of Arithmetic to prove that 8 is irrational.
A: Any number is said to be rational if the number is of the form ab,b≠0. Any number which is not…
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Q: Find a general solution of the given equation. Do not use the matrix exponential method. 1 2 [83] 0…
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Q: Evaluate 1.00 172dx using Cauchoy's Residue. Thesſens
A: We use Cauchy's residue theorem to find given integral.
Q: (c) Prove by induction that 3n5n² for all n € N with n ≥ 4. State clearly where you use the…
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Q: For what values of p and q does the following series converge? Με n=2 1 nP(Inn)a
A: Consider the series ∑n=0∞1np The series is convergent if p>1. Note: ln n<n for n is a positive…
Q: a) 4 [(-X²+1) += |dx
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Q: Find matrices P, D, and P-1 that diagonalize matrix A, where A P- D P-1 62 88 -48-68,
A: Sol:- A matrix A can be diagonalized if there exists an invertible matrix P and diagonal matrix D…
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A: The general form of a vector-valued function in three dimensions is given by F=F1ax+F2ay+F3az, where…
Q: = 15. Define the vector space spanned by v₁ = (2.1.3) and v₂ 16. Show that the set (1,3,5).
A: Introduction: A collection of vectors that have been added collectively and multiplied ("scaled") by…
Q: (v) For a regular polyhedron, notice that each vertex has the same degree, call it k. What is the…
A: Part v Let us suppose that there are v vertices. The degree of each vertex is k
Q: Obtain the Power Series solution of the differential equation y"-3y'+2y = 0.
A: We find the power series solution of the DE y"-3y'+2y=0 ......(1)
Q: onsider the graph of the function f. f(x) -10 -5 10 5 -10- 5 Use interval notation to determine…
A: Note that the graph of f(x) crosses the x-axis at x= 0, x= 2 and at x= 4. That means f(x) =0 at…
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Q: Q7. Using Simpson's Rule evaluate the integral (√x+1) dx using 8 subintervals.
A: In this question, we have to evaluate the integral ∫08x+1dx using 8 subintervals by Simpson's Rule.
Q: Q7. Find the Laplace transform of the periodic function f(t)= sin at for 0<t<¹ 0 for T @ -<t< @ 2π @
A: Sol:-
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Q: Discreate Mathematics Explain Steps Question: Derangement is a permutation of π ∈ Sn that has…
A: Please comment if you need any clarification. if you find my answer is useful please put thumbs up .…
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Q: A Ferris wheel has a diameter of 70 m, with a minimum height of 8 m above the ground. It takes 20…
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Q: Solve (y³ + 2y² +9y+18) dx = (5x²y² x²y + 17x²) dy
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- Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.Compute area of the region bounded byx2+ (y−1)2= 9 andy=x+ 1 and the (horizontal) liney= 1 (we assume to take this region, which involves point (0,32) inside it - to make it unique)).Find plane area bounded by y = 2, y = 6 - x, and y = 8 - 3x using double
- Calculate the area of the region bounded by the curve y = 2√1 − x^2 and the lines x = −1, x = 1, y = −1 by double integral.sketch the regions bounded by z=0.67 and z=1.56 and find its area. show your solution in your paperHow do I find the area of the region in the first quandrant bounded by the line y=4x, the line x=4, the curve y=4/x2, and the x-axis?
- compute the area of the surface formed when f(x) = 2 + cosh (x) between 0 and 1 is rotated around the x axisFind the area of the region bounded by the curve x = 2y², the line 2y = x - 4 and line tangent to the curve at the point (2,1)Find the line y=mx that divides the area under the curve y=x(1-x) over [0,1] into two regions of equal area.