normals at O and P is between principal Show that the angle s(p²² + σ²), where s is the arcual distance between 0 and P.

Q: be let mal me my and 1(n) be etion, we havre, be non- non-Mang

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Q: 4. Let A = [¹]. Show that A can be diagonalised.

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Q: Given: region R below bounded by the graphs of y = √r, ry = 1, and 3x = 4(y + 1) (1,1) R (2₁) (4,2)…

A: To find  area bounded we will use vertical slice  i.e. area  bounded by y=f(x) with x-axis from x=a…

Q: Given the function graphed below, find the following: -4 -3 -2 -1 16 5 3 24 423 -2 -3 -4 12

A: DOMAIN -: THE SET OF VALUES OF x WHERE FUNCTION IS DEFINED. RANGE-: THE SET OF VALUES OF f(x)=y WE…

Q: Find an orthogonal basis for the column space of the matrix to the right. -1 7 1-7 1-3 1-3-2 6 4 6

A: The given problem is to find the orthogonal basis for the column space of the given matrix.

Q: 3. Prove the following proposition: There is no binary quadratic form g(x, y) c = 5 (mod 7) that is…

A: To prove this proposition, we must show that if a binary quadratic form g(x,y) has the given…

Q: First four steps of step 2 (in general entire step 2) is not clear. Request clarify in easier to…

A:

Q: Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C…

A: We can find the integral by using Green's Theorem.

Q: 1. Let f(x) = sin(e-²2). (a) Use the two-point backward-difference and forward-difference formulas…

A: Given Data: Let us consider the given function, fx=sine-2x (a) Use the two point backward difference…

Q: Calculate the resultant (i) V₁ - V₂ - V3 and (ii) V₂ + V₁ − V3 when V₁ = 80 N at 55° V₂ = 90 N at…

A: Given details: v1 = 80 N at 55ov2 = 90 N at 120ov3 = 110 N at 110o (i) v1 - v2 - v3 = 80 sin (55) i^…

Q: To find a particular solution for y" - 6y' +9y = x² + 10 with the method of variation of parameters,…

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Q: = Write the form of a particular solution without determining the coefficients given that yh C₁ C₂e…

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Q: Find the work done by F over the curve in the direction of increasing t. F = ti + = j + k ; C: r(t)…

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Q: Problem I Determine for which values of the real parameter a the following matrix is not invertible.…

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Q: Calculate the flow or line integral in the field F along the path C. F = y²i+zj + xk; C is the curve…

A: Given, F=y2i+zj+xk;C is the curve r(t) = (-2+4t)i+3tj-4tk;  0≤t≤1

Q: If OABC is a tetrahedron where O is the origin and A, B and C are the other three vertices with…

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Q: Problem 1. 92x² + (a) If A is diagonalizable, that is A = ODO¹. Assume a polynomial f(x) = ao + ₁x +…

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Q: Consider the following model: Max 6x + 2y S.T.: 1) x + 2y ≤ 60 2) 3x + 2y ≥ 70 3) y ≥ 5 4) x,y ≥ 0.…

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Q: 2. Let f be a function defined for all real numbers x -uch that f'(x) < 0 and f"(x) < 0. The table…

A: here we will use relation between a function f(x) and its derivatives to find possible value of W

Q: 08(3-j2) 7245

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Q: A hand-held calculator will suffice for this problem, where an initial value problem and its exact…

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Q: Let B be a 2 x 2 matrix such that 7B²-5B+31 = 0. Is B invertible? It so, what are the eigenvalues of…

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Q: (a) How many nonnegative integer solutions are there to the equation ₁ + x₂ + x3 + x₁ = a? (b) How…

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Q: Using Green's Theorem, find the outward flux of F across the closed curve C. F = (7x + 7y)i +…

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Q: For the following questions, find a projection matrix P that projects b onto the colum of A, that…

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Q: Which of the following describe y as a function of x? (1) x2 3 0 V 3 9 -4 O(3) only O(2) and (3)…

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Q: 2 Iƒ ƒn(x) = efn−1(x) for all ne N and fo If d nd {ƒn(x)}. dx

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Q: Give a specific application of calculus in biomathematics

A: To Explained : Specific application of calculus in biomathematics.

Q: (d) Explain why, if an is an decreasing sequence of real numbers between 0 and 1, then is also a…

A: Sequence: A function f from the set of natural numbers ℕ to the set of real numbers ℝ is called a…

Q: Consider the complex number z given below in rectangular form, and marked on the complex coordinate…

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Q: II. Let S be the portion of the cylinder x² - 6x + z = 4, oriented by upward-slanting normal…

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Q: Find the solution of the following equations using the Jacobi and Gauss Seidel iteration method…

A: Question (b) using gauss seidel method asked and answered.

Q: Evaluate the integral [] exp(-5x² − 2xy − 5y² + x)dxdy R2

A: The rule for a Normal density function is fx,μ,σ2=12πσ2e-x-μ22σ2 where the mean of the distribution…

Q: Working directly from the definition (not using Arithmetic of Limits or any other results proved in…

A: Given fx=x2 To prove: limx→3  x2 =9.

Q: Find the characteristic equation of the given matrix. [8-15 2] 031-1 0 0-6-6 0 0 0-5] A =…

A: The given matrix is A=8-1    5   20   3   1-10   0-6-60   0   0-5 We have to find the characteristic…

Q: Select all that are true. The reduced row echelon form of a matrix A is unique. ✔ Cramer's Rule can…

A: True or false statements

Q: Find the equation of the parabola that passes through the given set of points. (-2,1), (2,-7),…

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Q: Compute the volume of the solid bounded by the surfaces x2+y2=17y, z=0 and z=√x2+y².

A: The given problem is to find the volume of the solid bounded by the surfaces x2+y2=17y, z=0 and…

Q: To find a particular solution for y" - 6y' + 9y = x² + 10 with the method of variation of…

A: The given differential equation is a second order non-homogeneous differential equation with the…

Q: press the improper rational transform: 3 4 X(z) = 1+ + + 1 3 ms of a polynomial and a proper…

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Q: Let W = {(x₁, x2, x3)| 3x₁ - x₂ = 0} with the standard operations in R³. Which of the following…

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Q: 125 people were surveyed on the types of volunteering in which they participate. They were asked…

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Q: Using Lagrange interpolation, find the value of y at x = 8 Given y(0) = 18, y(1) = 42, y(7) = 57 and…

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Q: Consider the Pecewsie continuous function { f(x) = = -2 < x < -1, −1≤ x < 0, 0 < x < 2. Without…

A: Fourier series convergence

Q: Let T be the tetrahedron with vertices at the origin and (3,0,0), (0,6,0) and (0,0,7). A fluid flows…

A: Given: F=x, yex, -zex Vertices of a tetrahedron are (0, 0, 0), (3, 0, 0), (0, 6, 0), and (0, 0, 7).…

Q: 4. Solve each of these congruences using the modular inverses found in the previous problem. (a) 7x…

A: The given congruence equations are (a)    7x=2 (mod 26) (b)   19x=4  (mod 141)

Q: Determine whether f(x) = e-lxl is even or odd.

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Q: Suppose that in the group G, (ry)2 = x²y² for all x, y = G. Prove that G is abelian.

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Q: 65. (1,0, 1,0), (1,1,1,-1), (1,2,3,0).

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Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = x³i + y³j+z³k out…

A: Given : F→x, y, z=x3i+y3j+z3k x2+y2≤4, 0≤z≤3 To find: ∬S F→ ·dA→