L-1 -3s²-12s-87 의 (s+2)3

Q: 1. (1) Evaluate 7 Σ3k2 + 1. k=1

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Q: ves the volume of the solid that results when the region is revolved about the y-axis. l (b) Set up…

A: Introduction: When the axis of revolution is the plane region's boundary and the cross-sectional…

Q: Let d(x, y) = be a metric on R* then the open ball of center 2 and radius is: O ]1/2,1[ O None of…

A: I have used definition of open ball in metric space.

Q: Set up the integral that gives the volume of the solid enclosed between the curves y=1/2x, x =2, x=4…

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Q: 1. "Let fE a[a, b]. For x E (a. b), set F(x)=ff. Prove that F is continuous on [a, b].

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Q: Let ƒ be a mapping from [2, +∞ [to, +∞[defined by: 3 f(x) = x + = x f has a fixed point. O False O…

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Q: (−1)n+1 χη 1 and Σ η n=1 3mnaan n=0 Do these series converge uniformly on any of the intervals [-r,…

A: Given series are ,                                          ∑n=1∞-1n+1nxn  and   ∑n=1∞13nn2xn  Note…

Q: 1. Give one example of coherent logical argument, its premises and conclusion.

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

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: Evaluate the integral by changing the order of integration in an appropriate way. ₁x² 3xzę zy² dy dx…

A: In this question, the concept of Triple Integral is applied. Triple Integral Triple integrals are…

Q: 5) USE THE LU FACTORIZATION 20 -3 0 20 - 4 A= b= 1 1 1 02 1 1 -3 4 (COLUMN OPERATIONS) 5 1 2 LAST…

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Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ — sin 2x + 1,…

A: We have to use integral to find work done

Q: 3. Write matrices for an x-shear with shear factor -2, a rotation of 180, an enlargement of scale…

A: To Write: matrices for x-shear with shear factor -2, a rotation of 180°, an enlargement of scale…

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: fix+ (x+y) dx +(-3x²) dy L is arc curve x(t)=t5,y(t)=tº from (0,0) to (1,1

A: We will use  parametric curve to convert all variable in t and then integrate

Q: Construct a truth table to verify the following implication. p⇒pvq Construct a truth table for the…

A: p⇒p∨q

Q: Q6: Find the Fourier coefficients and Fourier series of the function f(x) defined by -π<x<0 f(x) =…

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Q: real root of 2 cos - int Iteration Method with cimal places. Use an error nificant figures. To get…

A: (2) The function given is as follows: 2cosx3-sinx=14⇒fx=2cosx3-sinx-14 We will rewrite the above…

Q: Paper sheets are required to make a stack of 8cm height. Each paper is 2.5x10-4. How many are…

A: Solution

Q: 1. Transform the unit square under 0 1 0-1 cos 45 sin 45 -sin 45 cos 45 10 03 Say what each…

A: To find: the transformation of unit matrix under given matrices.

Q: M8 (2-3x)"

A: Given: Series ∑n=1∞2-3xnn3n To find: Sum of given series.

Q: 2. Evaluate: √₁² √2 - x + x da −

A: We know that the modulus function fx=x is defined as x=-x,x&lt;0xx≥0. If we take x=-2, then f-2=2…

Q: X L479 1 4 11 f(x) 12 -23 -15 33 -13

A: Lagrange's interpolation polynomial for n points can be defined as:…

Q: ind the complete Fourier Series of f(x) = { 4 if (-2 < x < 0) if (0 < x < 2)

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Q: Let Q(x) = 4+2). Give a step-by-step - proof that _lim Q(x) = -1. Start by stating the appropriate…

A: Given: Qx=4x+2x2-4 We need to show limx→-24x+2x2-4 by ε-δ method

Q: Q3: Find the solution of the Laplace transforms of the following functions: L-1 ¹ [-35 -3s2-12s-87…

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Q: The length of each of the two congruent sides of an isosceles triangle is 2n + 7 and the length of…

A: Given that The length of each of the two congruent sides of an isosceles triangle is 2n + 7 and the…

Q: Identify and classify the constrained maxima and minima of f (x) = xyz, subject to the constraints…

A: Solution : f(x)=xyz Constraints: x2-y2-z=0x2+y2-z=8 by solving constraints, z=0.5x2-4y=±4 Taking…

Q: use Newton’s Method to find the root of the given equation, accurate to six decimal places, that…

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: 5. Find the distance from the pole to the vertices, and then find the equation of the hyperbola in…

A: To find: Vertices of the curve and the equation in rectangular coordinates of the following polar…

Q: Q6: Find the Fourier coefficients and Fourier series of the function f(x) defined by -H<x<0 f(x) =…

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Q: Find May of the volume, if the solid of density & (x,y,z) = Z and the lower parabola is (Z₁ = x² +…

A: Given that  Lower parabola: z1=x2+y2 Upper parabola: z2=4−x2−y2 Density: δx,y,z=z To determine:…

Q: Let

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Q: Find the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 4z² 4 and the…

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Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

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Q: If A is a 7 X 9 matrix with a 2 dimensional null space, what is the rank of A? Could a 6 X 9 matrix…

A: Given that A is a 7×9 matrix with a 2 dimensional null space. We have to find the rank of A. Since,…

Q: A tank has the shape of an inverted right circular cone of depth 5 meters and radius 2 meters. This…

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Q: Suppose that f has a point of inflection at (c,f(c)). Which of the following is not possible? a) f…

A: Follow the steps.

Q: theormo- Let (Ft) is a field and f(x) EF(x) then the ideal ismaximals ideal iff fex) is an…

A: Let , F , + , ·  be Field. Given that  , fx ∈ Fx. Let , f(x) is maximal ideal. We need to show that…

Q: 5. (D²2D+1)y=e* arctan x

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Q: Using the Euler-Lagrange equation of the Calculus of Variations Optimize (-16y² + 144y + 11yy' -…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2. Lim: xcosx X-0 sin ²x 2

A: The output of the function changes with the input. If the function f(x) has the limit L at x=a, then…

Q: The ellipse with the given equation is centered at x² +9y² + 3x - 18y + 9 = 0 3 9 (²/₁₁) (²17,¹1) 2…

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Q: 4. Find the distance from the pole to the vertices, and then find the equation of the ellipse in…

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Q: 2. A trough has congruent triangular ends of top base 4 ft and height at the center of 1 ft. If the…

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Q: Suppose that an equilateral plate that is 2 feet high is standing straight on the bottom of a 6 feet…

A: We will find force on horizontal slice of plate and then integrate it to find total force . 56u

Q: By considering different paths of approach, show that the function below hile no limit as…

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Q: Find the interval of convergence for The interval of convergence is a E n=0 (x - 4)" 2n

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Q: 3. Let R be the region below bounded by the parabola y = 4 - 2² and the lines 3x - 2y +3=0 and y =…

A: The region R is bounded by the parabola y=4-x2 and the line 3x-2y+3=0 and y=0.