Find the range, mean or average deviation, variance and standard deviation of the following grouped data. Number of Fish Tub Caught by 30 Fisherman in Landing, Pilar

Q: Find the Laplace transform of a. f(t) = [1 − U₁7 (t)](2 sin t – sin 2t) t². -8 + 3t, b. g(t) = (t -…

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Q: 1. Given the polynomial function f(z)-1+2x+3x²+4x²³ +5x¹. a. Find the Taylor polynomial of degree 3…

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

Q: The centroid of the area bounded by the parabola y^2 = 4ax and the line x = p coincides with the…

A: Please see the attachment

Q: Solve the differential equation y'(t) + 1.9y(t) = 1.9el-alt; y(0) = What is the value when t = 1.76?

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Q: By using Laplace transform to solve y" + 4y + 8y = sint with y (0) = 1 and y' (0) = 0, what would be…

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Q: A triangle is inscribed in a rectangular hyperbola s to the opposite side. Prove that the trian…

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Q: Consider xy' = y(lnx −lny) with y(1) = 4 . Using Runge-Kutta method with h=0.1, the k3 in the…

A: The given O.D.E is xy'=ylnx-lny with y1=4. To find: The value of lnBA

Q: (b) Graph H is the complete simple graph with 17 vertices, K17. What kind of circuits does G have? ✓…

A: We have a complete graph with 17 vertices. So, we can reach every vertex from any vertex in any…

Q: Show that the function f(x)= √(x) = { -1 when xw0 when x=0 is discontinuous at x = 0.

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Q: Example 9.6 A square of 6 ft sides is to be subdivided into three equal parts by two straight lines…

A: A square of 6 ft side is divided into three equal parts by two straight lines parallel to diagonal…

Q: Solve for x: | cosx-2 sin 2x-cos 3x|=1-2 sin x-cos 2x

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Q: . Find the Inverse of the following using GAUSS-JORDAN METHOD. 1 -1 0 0 -1 2 -1 0 0 -1 2 -1 0 0 -1 2

A: Here the given matrix is                                         1-1   0   0-1   2-1   0    0-1…

Q: If w is a vector such that w+(ŵ×ü) = v,then prove that only if u is perpendicular to v.

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Q: 4. Expand f(t)=sint, 0<t<n in a half-range: 5 a) Sine series sin(1-n) sin(1+n) ANSWER: (0)=sin(1-…

A: The given problem is to find the half range Fourier series expansion of sine series and cosine…

Q: Find the Laplace Transform F(s) of: f(t)=te-ktsin(t)

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Q: Approximate the integral of f(x) = x² - 2x + 4 with the following unequally spaced points shown in…

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Q: This question is about the function f(0) = (0 - 3) cos(0). (a) Explain why the graph of f lies on or…

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Q: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler method with h=0.1, compute…

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Q: Determine the Fourier transform of the given function: t, 0 < t < 1 0<t<2 f(t) = 2t - 1, 0,…

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Q: Consider the following lines. r(t) = (4t-1,4t - 1,2t+3), for -∞<t<∞ R(s) = (s +3, 4s+3, -2s+5), for…

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Q: By using Laplace transform to solve y" + 4y + 8y = sint with y (0) = 1 and y' (0) = 0, what would be…

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Q: Let f(x, y, z) = 9 (√√x² + y² + z²) where g is some nonnegative function of one variable such that…

A: Kindly note that in your question, I can see one question and only one part, namely part (a). So, I…

Q: Determine the value of k if the L[ tkt ] = 1/(s2 - bs + 6.0).

A: Solution

Q: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler or Runge - Kutta method, what is…

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Q: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler method with h=0.1, y(1.3) = y(A)…

A: Solution:-

Q: following differential equations has a point near x = 1 as an irregular singular =y" - 2 (x² + 4x -…

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Q: Suppose the slope of the tangent line at any point on a curve is curve passes thru (1,3),…

A: We will find approximate value of y at required point  and then find  slope of tangent line . Using…

Q: The area of the region which is enclosed by the curves y=2x²+x-9 and y=x-1 (that is, the shaded…

A: Formula: The area of the region bounded above by the graph of y=fx and bounded below by the graph of…

Q: 2. A= 2 L6 16 5 14.

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Q: Prove that the equation ax² + 2hxy+by² + 2gx+2 fy+c=0 wi h²2 = ab and bg2 = af?. Also find the…

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Q: 4. Six different groups of children would like to visit the zoo and feed different animals. (Assume…

A: Given: Six different groups of children would like to visit the zoo and feed different animals.…

Q: Determine the value/s of D if the graph of the equation x² + 4y² + Dx - 4y + 2 = 0 an empty set.

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Q: 1. Determine the half-range cosine expansion of the given periodic function: f(t) = { ₁-t₁ t,…

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Q: 5.1.12. (-) Prove or disprove: Every k-chromatic graph G has a proper k-coloring in which some color…

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Q: 7. Check that a=2" +1 is a solution to the recurrence relation an -2-1-1 with a₁ = 3. n

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Q: Find the equation of the line if it passes through the points: (5,-1) and (3,2)

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Q: 13. Let F be a field, R a nonzero ring, f: F →→R a surjective homomorphism and prove that f is an…

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Q: 4 2X 2X dy + 2 (Ye - x) dx = o (y dy + + Cosxy e Sinx du tanx

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Q: Please select all the situations below that are POSSIBLE and do not mark those that are IMPOSSIBLE.…

A: Solution

Q: Find the Half-range Series of f(x) = { a) Fourier Series of even extension b) Fourier Series of odd…

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Q: In this module you have worked with many different trigonometric identities. These identities can be…

A: We will use half angle formula to find length and height

Q: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler or Runge-Kutta method, what is…

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Q: Example 9.6 A square of 6 ft sides is to be subdivided into three equal parts by two straight lines…

A: Given figure is  where parallel lines EF and GH divides the square ABCD in three equal parts. Let…

Q: (D² + 4D + 4)y=0 when x = 0, y = 1 and y' = -1 What is the general solution?

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Q: rmine the half-range cosine expansion of the given periodic function: t, f(t) = {₁ - t 0<t<π/2…

A: Half range cosine series expansion

Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, approximate y '(1.3).…

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Q: olve the differential equation y'(t) - 2y(t) = e2t; y(0) = 1.3. Vhat is the value when t = 1.20?…

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Q: At least 2 each of Line Parabola Absolute value At least 1 each of Circle Ellipse Hyperbola

A: We will use the basic knowledge of 2-D coordinate geometry to answer both the parts of this question…

Q: Suppose y(3)=5 is the initial condition of a differential equation. Using Euler or Runge - Kutta…

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Q: Find the general equation of the conic with the given properties. An ellipse with one focus at…

A: We have solve given problem: