Q1: Find with sketch the Fourier coefficients and Fourier series of the function f(x) defined by f(x) = x over interval - π < x < π and has period 2

Q: 41. Find the interquartile range from this box-and-whisker plot. 10 31 68 80 A. 31 B. 21 C. 58 D. 80

A: We know , Interquartile range = Q3 - Q1

Q: (a) Find the curvature and the radius of curvature of the curve r(t) = 3 cos ti + 4 sin tj + tk at t…

A: Given curve is r→t=3costi^+4sintj^+tk^. We have to find the curvature and the radius of curvature at…

Q: M8 (2-3x)"

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

Q: If you want to accumulate $ 28,000 in 5 years to purchase a car, how much you need to invest today…

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Q: 1. Let T: R³ R³ be the linear transformation given by X1 (B)-E x2 x1 + 2x2 + x3 x1 + 3x2 + 2x3 2x1 +…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. In(x+1)³ 3. Lim 3 X→∞0 6x

A: Solution

Q: Find the total areas of the shaded regia 47. y=x√4_7²

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

Q: Q 1-1 9 1 1

A: Introduction: If a function has a finite number of breaks and does not blow up to infinity anywhere,…

Q: What happened to the absolute value of e^-|2t|?

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Q: questions both b

A: Introduction: The formula of the line that passes through the points (x1,y1) and (x2,y2) is given by…

Q: [[F(x, R th limits of integration B D -IT² f(x, y) dA = f(r cos(0), r sin(0)) r dr de (Click on…

A: In this question, the limit of integration of polar coordinates is determined.…

Q: Which of the following is not an asymptote of * 4x² y = x²-9 Ox=3 O y = -4 Oy=4 O X=-3 ?

A: To find Which of the given is  not an asymptote of y.

Q: e points of inflections and the local maximum and minimum values of the function y=2sinx + sin2x in…

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a…

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: 3. Solve the following differential equations using Laplace transforms: d³x d²x dx + + dx d²x b. +x=…

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Q: 5. Neil is traveling on a road at 60 miles per hour when he slams his foot on the brake pedal in…

A: S=(30Dfn) Here, S is speed of vehicle in miles/hour. 30 is constant.  D is skid distance in feet. f…

Q: 7.Find xy of z = 2x³-5xy²

A: ∂2z∂x∂y of z = 2x3-5xy2 This means Partial differentiation of z with respect to y and then with…

Q: 4. Find the length of the curve defined by Ả(t) = (3t+1, 4t³/2, 4 – 3t²) from the point (1,0, 4) to…

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Q: The hyperbola with the given equation is centered at? * 16y² -9x² +36x + 96y - 36 = 0

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Q: determine the value of s, v, and a using determinant method: s+2v+2a=4 3s-v+4a=25 3s+2v-a=-4

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Q: The Critical Point of y = xe-*

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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: 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: 7) FIND THE THE FIRST COLUMN OF THE INVERSE USING FACTORIZATION (ROW wwwww OPERATIONS) 1 13 -1 3 1…

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Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: Given,Integral,I=∫021xdxTo find: Value of given integral using any one of the numerical methods

Q: Simpson's Three-Eighths (Use n = 12) 9. So¹ (3x²+3) dx 10. (2 sin x + 3cos 2x) dx

A: First we find general solutions: 9.  ∫13x2+3dx=∫13(x2+1)dx=13∫1(x2+1)dx=13tan-1x +c    then…

Q: Solve the system u = 3x-y, v= 3x + 2y for x and y in terms of u and v. Then find a(x,y) the value of…

A: The given system of equations is: u=3x-y and v=3x+2y Subtract u from v:…

Q: Calculate the arc length of the cycloid x(t)= a(t— sint), y(t)=a(1— cost), telo 201 a

A: Introduction: The distance between two places along a portion of a curve is called arc length.…

Q: of and for the functions: dx dy H.W: Find 1. f(x, y) = (xy-1)² 3. f(x, y) = (x²-1)(y + 2) 2. f(x, y)…

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Q: I. Consider the vector-valued function In(2t + 1) Ŕ(t) = ²₁+ î+ t 1. Determine the domain of R. 2.…

A: This is a problem of Vector Calculus.

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

A: p⇒p∨q

Q: 5. Lim xsinx x+0+

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Q: 1 1 b. From (i) prove that, xb + x ² + 1 + x² + x ² + 1 ² + 1 = 1 xa +x+b+1 c. From (ii) given in…

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Q: Suppose that 80 moose were introduced into a wildlife refuge in 2016. By 2020, the population had…

A: Introduction: Exponents are used in the exponential function, as the name implies. However, an…

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: To evaluate the definite integral ∫abfxdx, use the following midpoint rule formula.…

Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: This is the application of calculus.

Q: 4) USE THE GAUSS-JORDAN 2 0 -3 0 2 0 -4 1 A= 1 -1 1 - 3 0 2 1 - 4 || REDUCTION METHOD (SINE…

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Q: 5. Given z arctan (;-), Find az/ay

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Q: Use the three-point Gauss-Legendre formula to evaluate the integral dx Ső (2x + 1)²

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Q: of dirt removed from an excavation is a cone measuring 6 feet high and 30 feet across the base.  A…

A: Introduction: The volume of a cone of radius r and height h is given by, V=13πr2h

Q: b) Find the Fourier sine transform of f(x) = 12π, 0 < x < 6π

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Q: Let f be a mapping from [2, +∞[to, +∞[defined by: 3 f(x) = x + = x f is a homeomorphism but it is…

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Q: Find an equation for the plane that is tangent to the surface z= In (x²+y^) at the point P(0,1,0).…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim X→2…

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Q: 1. Is the following axiom system consistent/dependent? a. There are six points. b. There are three…

A: Given: The axiom system: (a.) There are six points. (b.) There are three 3-point lines. (c.) There…

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: the functions z= 8 e* Iny, x= In (u cos v), dz dz SS and- du as functions of u and v both by using…

A: Introduction: In vector calculus and differential geometry, the partial derivative is used. In…

Q: 4. Using Laplace transform methods, solve for t≥ 0 the following simultaneous differential equation…

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Q: Y- XLnx dx ty=zLnx

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

Q: Let F be a field of characteristic not equal to 2. Let a, b E F such that b is not T CL If 1

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