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Q: Evaluate: 0 V|2 − r|+dr -2

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: 1. Find the Laplace transform of the following function using the basic -5t definition and…

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Q: Sketch the region bounded by the given lines and curves. Then express the region's area as an…

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Q: Suppose that there exists M> 0 and 8 >0 such that for all r = (a −8, a+6) \ {a}, f(x) = f(a)| ≤ Mx -…

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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

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Q: The metric subspace ]1,2] of the Euclidean metric space R is a complete metric space. False True

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

A: Solution : Equation is f(x)=ex-cos(x)-2Numerical differentiation method, x0=0 , x2=3 h=0.75 table…

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

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Q: d) must be done using Vector Calculus and the Lagrange multiplier. Optimize: the function f(x, y) =…

A: Given: The function fx,y=49-x2-y2 subject to the constraint x+3y=10. To optimize the function we'll…

Q: Consider P2 (R) together with inner product: Find an orthogonal basis for P2 (R). (p(z),9(2) = Г'р…

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Q: Show all the necessary figures and solutions to each of the following problems. 2. Find the area…

A: To solve area bounded by the curve use double integral Draw the curve on x y-plane  and shade the…

Q: + 8x and y = x² - 4x. e. Find the area bounded by the two curves y = x² - 6x²+

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Q: Q.5 Linearize the non-linear system z = x² + 4xy + 6y² in the region defined as 8 ≤ x ≤ 10, 2 ≤ y ≤…

A: Given non linear equation is z = x2 +4xy +6y2 Region :- 8≤x≤10,  2≤y≤4.

Q: A particle is moving along the path given by R(t) = (sin(ln t), cos(ln t), √√3 lnt). (a)…

A: Introduction: The formula of arc-length of the polar curve from a to b is given by,…

Q: hello, thankyou for answering could you answer tha encircled number please?

A: Solution

Q: 11. Given vector u = (2, a, 3), vector v = (1, -3, b) and u x v = (13, -5, -7). Find a and b.

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

A: from the given statements: S1: Let there are six points A,B,C,D,E,F S2: there are three 3 point…

Q: List all the ordered pairs in the relation R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6}

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Q: II. Let F and G be vector-valued F(1) = (1,0,2), F'(1) = (1,1,2), G(1) = (2,1,3), G'(1) = (-1,…

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Q: Diagonalize A = 12 0 2 1 0 00 - 3 and compute A2019

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Q: Use the washer method together with Simpson's Rule with 4 subintervals to estimate the volume of the…

A: Simpsons ⅓rd rule  (h/2)[g(1)+4g(2)+2g(3)+4g(4)+g(5)]

Q: Numerical Differentiation: ƒ(x) = eª 1. COS X - 2 . Find f(1.5) and step size of h=0.75 and 0.1

A: As per the question we are given a function : f(x) = ex - cos(x) - 2 And we have have to find its…

Q: . Find the centroid of the solid generated by the area bounded by y = sin x and the lines x = 0; x =…

A: Since  the area is rotated about x axis ,the y and z coordinates of centroid are 0, and the centroid…

Q: Let

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Q: Q/६ using integrat test: n - 14 (n+1)(n-4) Test the following series

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Q: show that K₁ is a subfield of K, K₁= p" and K = UK₂.

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Q: [2 + m 3 1 1. Given A= a. (AB)¹ - A b. 4A-¹ + 2B-1¹| a. 2AB-1 1 2 -1 -1 4 5+ ml and B = [-1-m 2 3…

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Q: Evaluate. [16si 16sin-4x cos³-4x dx

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

A: We will convert every equation into polar form and then find in equation defining bounded region…

Q: d) The open intervals on which f is concave down.         e) The inflection points.…

A: This is the application of Calculus.

Q: 1. Evaluate the definite integrals using (a) integration, (b) trapezoidal rule, (c) the mid-ordinate…

A: Here we have to evaluate a Integration  :  ∫2612x-1dx                             ⇒12∫2612x-1dx…

Q: Find a power series solution of y" + (1+x²)y = 0 13 a. ao(1-x². x6+)+a₁(x-x³1x5. 24 720 24 13 b.…

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Q: 7. la + d d a d d+n n a n n + al = 4nad

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Q: Find f '(x) and f "(x) at x = 0 using finite difference approximation of O(h²). (Hint: you have to…

A: The table given is as follows: x 0 0.1 0.2 0.3 0.4 fx 1 0.9048 0.8187 0.7408 0.6073 We are…

Q: Stokes' theorem states that [[ (V x F) - ds = f F. dr. Verify Stokes' theorem by calculating both…

A: We will find both sides of integral and compare there values

Q: Which of the following is cyclic? Justify. a. The set of positive integers under usual addition b.…

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Q: Write the statement in symbolic form: "BBM and Sara Duterte may have won the election but Leni and…

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Q: A yacht starts from a harbour and sails for a distance of 11 km in a straight line. The yacht then…

A: Draw and label the diagram depicting this scenario. Use law of cosines to determine the distance.

Q: 1. Let G be any group. Show that the function f: GG defined by f(x) = x² is group homomorphism if…

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Q: Consider the IVP: y" +9y = 40e*; y(0) = 5, y'(0) = -2. Find the general solution. (A) y(x) =…

A: The given differential equation is second order linear, homogeneous differential equations with…

Q: The general solution of y" + y = sec³ x

A: First we will find the complementary solution for which we will find the roots of it's auxiliary…

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

A: We will sketch the region bounded and find boundary curve to use polar co ordinate for volume .

Q: 2. Find the area bounded by the two curves y = x² - 6x²+ 8x and y = x² - 4x.

A: We have to compute the area between the given curves using the double integration method by first…

Q: 4. Which of the following vertices are adjacent to vertex B? B E F A) AEDC B) AEFC C) AEDFC OD) AEC…

A: Since you have posted a multiple question according to guildlines I will solve first(Q4)   question…

Q: Based on the image attached, solve the following questions. i) Express graph the system by using a…

A: The system of equations can be solved graphically or algebraically. The method of substitution and…

Q: The Fourier coefficients of a system with period T are bm all am 0. What is the frequency of the…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: y" − 7y' +6y=−e* [17 cos x-7 sin x] y(0) = 4; y'(0) = 2; -

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Q: [3(cos 18° + i sin 18°). [2(cos 20° + i sin 20°)]³.

A: De Moivre's Theorem: cosθ+isinθn=cosnθ+isinnθ where n∈ℤ

Q: 2. Find at least the first four nonzero terms in a power series expansion about x = 0 for a general…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…