7. Determine the period of each function: a) y sin- b) y = cos 2(x-45°) c) y = cost = cos(x+90°) Hand written plzzz b)

Q: 3:Use Gamma & Beta properties to evaluate : f (In x)³ dx

A: The gamma function is Γ(z)=∫0∞e-ttz-1dṭ The Gamma function is a non-integer generalization of the…

Q: H.W p.564/ use Trapezoidal method and Simpsons' rule to evaluate. dx 1) So √1+x² n = 4 se as Ars

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

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Q: 2 Example 10.8. Using Euler's method, find an approximate value of y corresponding to x= 1, given…

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Q: Find the value of following the integral: ☎ COS²T -π1+a* S². dx,a>0

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Q: Example 10.26. Using Picard's method, find approximate values of y and z corre- sponding to x = 0.1,…

A: Problem is solved using picard's method.

Q: Example 10.23. Given dx = 1.979, evaluate y(1.4) by Adams-Bashforth method. = x²(1 + y) and y(1) =…

A: Problem is solved using Adams-Bashforth Method.

Q: 5. y=x³, x = 0, y = 8; about X = 2

A: The region is

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A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Let 1, y € R" be given. (a) If ||z||=|y|| = 1 and z-y = 1, show that z = y. (b) If ||z|| ≤ 1 and…

A: Cauchy Schwarz inequality (over the space Rn): For any two vectors x and y in Rn, x.y≤xy equality…

Q: 7. For a matrix B= 1 0 0 1 -1 0 5-1 -3 find B¹ by using the Cayley-Hamilton theorem.

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Q: DIE the solution. оn If ind a) зхун 6 x2y! +12 xy=ex+о I the value

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Example 10.28. Solve the differential equations dy dz = 1 + xz, = -xy for x = 0.3, dx dx using…

A: Here we need to use runge kutta method. please find solution below:

Q: Which of the following represents the general term of the sequence 2 1 3 5 6 12 20 30 42 56 7 9 ? 11…

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Q: X=2 (mod 10), X=2 (Mod 8), x=o (Mod 6) What is the smallest positive number ?

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Q: The sum of the series Σ n² - n + 1 n! - is

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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: Write the general solution if the ODE and its solutions are given as follows. y (4) + y" = 0 ;…

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Q: C:1: Solve the following I.V.P. using Laplace transformation: y" - 2y - 5y = 5t-100 such that: y…

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Q: is R* is contractible?

A: This is a problem of Topology.

Q: Find the number of roots of the equation z^4+4z-1=0 in the annulus 1/3<|z|<2.

A: Rouche's Theorem : If f(z) and g(z) are two analytic functions within and on a simple closed curve C…

Q: • Create a symmetric equation of a line with the digits 6, 8 and 4. Does the point D (7,-1,8) lie on…

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Q: Determine whether the given linear operator/matrix is diagonalizable. (a) T : R³ → R³ with T(1, 1,…

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Q: Solve for x. All final answers must be in Znwhere n is the modulus.   x+ 2 mod 9 ≡ 0

A: We have given that ,  x + 2 mod 9 ≡ 0 We need to find the value of x under modulus 9. We know that…

Q: Calculator Suite - G... Paraphrase Online -... Infographic for Fisc... Position-Time_and_... go!…

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Q: 2) Let R= {(1,2), (3,4), (1,x)) in order to this relation NOT be a function x must be equal ? a) 1…

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Q: Let D be the portion of z = 2z + 5y inside z2 + y² = 1, oriented up, and let F = (y, z, -z). Compute…

A: Solution :  Options ( 3 )  is correct

Q: | Example 8.11. Evaluate the integral the error with the exact value. dx using Simpson's 1/3rd rule.…

A: Please find step by step solution below

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Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 9x - 2y +…

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Q: Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x. Determine the area of region…

A: Note: As per the guidelines we are supposed to answer only 3 subparts question. For the remaining…

Q: = Given the first-difference equation Ayt = 2 and assuming yo method: e, then using the iterative

A: This is a problem of the difference equation.

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

A: Find the projection of u onto v and find the vector component of u orthogonal to v.

Q: (b) Determine x(Cn, k), the number of k colourings of the cycle Cn with n vertices, for n> 3.

A: (b)  We can do this directly using the principle of inclusion-exclusion. Labelthe vertices of Cn…

Q: Example 10.15. Apply Runge-Kutta fourth order method to find an approximate value of y when x = 0.2…

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Q: (a) Let a, b, c E R³. If det (a, b, c) 0, prove that a, b and c are non-zero. (b) Prove that x x…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Rearrange lim x* so that we can apply L'hopital's rule. *→0+

A: Follow the steps.

Q: Let F be a field, then every polynomial of positive degree in F[x] has a splitting field.

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Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: We will find equation of surface bounding the region of integral from its limits and then draw…

Q: 5. (8 points) Let A € M₂ (R) be given. (a) If det (A) = 1, prove that adj (adj(A)) = A. (b) If A is…

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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: at an average rate of 30% within a squar r of pla th w gordon

A: Average rate per square meter Agro Chemicals  Non-Agro 10000 cm2 10% 30%     Rectangular…

Q: Let M be a subset of a Hilbert space H, and let u, we H. Suppose that (v, x)=(w, x) for all x € M…

A: Solution:Given that Let M be a subset of Hilbert space H and let ν, w∈HTo show that M is total in…

Q: 6. An adult takes 500 milligrams of paracetamol. Each hour h, the amount of paracetamol in the…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Use the separation of variables to find, if possible, product solutions (for λ = 0,2 = -a² and 2 =…

A: As per the question we are given a partial differential equation and we have to find its solution…

Q: Q3) given J = 2x²ax + 2xy³ay + 2xya, A/m² find the total current in outward direction from a cube…

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