Determine the area of the region bounded by the curve y = x³ – x² – 2x, and а. the x-axis b. the line y = 2x – 4

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Q: Give/Describe a generator, a directrix and the rulings of the cylinder x = cos z. Draw a sketch of…

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Q: 3. The following matrices are elementary matrices except (a) 1 0 1 0 (b) 5 1 (3 (c) 1 (d) -3 -

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Q: 2. What would be the order and degree of the differential equation (e) + 11/3 = 0 a²y

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Q: | (2x - y) dx + (x + 5y) dy. Evaluate C: x-axis from (0, 0) to (0, -5) and (0, -5) to (7, -5)

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Q: Answer the questions that follow. The same response may be the correct answer for more than one…

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Q: 2. The n-by-n linear system Ar = b has infinitely many solutions. Which of the following statements…

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Q: Consider the data in the table below. Y X 3 1 5 4 8 3 1 7 1. In the space below (or on a separate…

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Q: Determine the vector field of F. F(x, y) %3D 6і — 3j

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Q: 1. What graph in Cn - e for any edge e, is isomorphic to? EXPLAIN

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Q: Find a Maclaurin series expansion for f (x) = e*, Input the %3D values of the highlighted letters.…

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Q: Evaluate the line integral / (9x + 5y)dx + (x – y)dy along the curve C : x = 6 cos t, y 12 sin t <t…

A: To Evaluate: The line integral ∫C9x+5ydx+x-ydyAlong the curve C: x=6cost, y=12sint 0≤t≤π4

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Q: In year 1931, the population of Sri Lanka is 24M. in 1945, its population rise to 82M. Assuming that…

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Q: . Give/Describe a generator, a directrix and the rulings of the cylinder x = cos z. Draw a sketch of…

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

Q: d²y dy + 2 dx 12х — е2х || dx²

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Q: 10. Evaluate dy 4 + 4y = xe* dx ( - y = (c, ++ )- y = C1e-* + et 16 1 8 16. А. В. et et y = C1e-* +…

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Q: Find the following, showing all working: (a) The matrix B that represents the linear transformation…

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Q: Find a Maclaurin series expansion for f (x) = . Input the %3D values of the highlighted letters. f…

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Q: II. SYSTEM OF LINEAR EQUATIONS OF TWO VARIABLES A. Describe the graph of the system of linear…

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Q: co. Denive Linl. where symbols have their usua l s meanings

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Q: 7. Sketch the region of integration, and evaluate the integral. 2 2x r SS S- zdz de dr

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Q: Solve the following differential equation Integrating Factor by Linear Equation: 1. y' + ()y = x* 2.…

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Q: Solve the De as follows via Laplace transformations: y" - (14/3)y" - (55/3)y+14y 0; y(0) = -1, y'(0)…

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Q: H-w.H Find the Volumes for the Sllowing solids w hose heights are defined by ECX,y) and bases are…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

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Q: 4. Let A E M,,. Each of the following statements is equivalent to two of the other three except (a)…

A: Let A∈Mn. (1) The matrix A is a product of elementary matrices.⇔The matrix A is singular.⇔The matrix…

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Q: Problem 5 unction, then f is bijective if and only if the inverse relation f-1 is a function rom B…

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Q: Table Q2- Solar intensity obeerved in an open space 24-hour dock time (x) Solar intensity in kW/m²…

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Q: Skeich the region A = {(x, y) |(y <3*)^(y2x³)} .

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