Q1 Rewrite the polar equation r= 2sinecose in Cartesian form-

Q: all n N we have We apply this successively for n = bn+1 bn N, N+1, n 9 bN+1 < (m + €)bN bN+2 < (m+…

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Q: Given that P(n) is the equation 1+3+5+7++ (2n − 1) = n², where n is an integer such that n ≥ 1, we…

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Q: 1- SOLVE THE FOLLOWING INTEGRALS 2-WHEN SOLVING POINTS A AND B, STATE THE REASON FOR BOTH POINTS,…

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Q: Q3: Check the symmetry & graph the curve r-1+2cos0.9 from (0-x) at increments of 15°…

A: Consider the given polar curve, r=1+2cosθ, where θ is from 0,π. Now, First test the symmetry for…

Q: Calculate the area for the following closed quadrilateral, given delta E (departure) and delta N…

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Q: (c) y(0) = -5 10 -10 O (d) y(8) -5. 10 -5 -10 -10 O -10 -5 -5 0 y 0 5 10 10 X X -10) O 10 O 10 5 0…

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Q: A tunnelling machine drills 500 metres. Use your values from the table to estimate the cost of…

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Q: The integeral S 0 S cos tdt for x = 0.9 is approximately equal to 0 (Type an integer or a decimal.)…

A: Given: ∫0xcost2dt To find: The value of integral given integral when x=0.9 using appropriate series.

Q: island has 12 fur seal rookies(breeding places). To estimate the fur seal pup population in Rookery…

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Q: x Find the solution to the linear system of differential equations y(0) = -4. x(t) = y(t) = -12x -…

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Q: het Ley) = y(4) + y (3) - 7y (2) - y^²)+69 al solve: Lys = 36t-24et > where = y(o)=y'(o) =y" (o)=…

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Q: Problem 7. a) Describe the transformation(s) that can be applied to the function g(x) = e* to obtain…

A: Transformation of the function  f(x+c) c units left  f(x-c) c units right f(x)+c c…

Q: Solve the heat transfer equation for a metal rod in one dimension, assuming a constant cross-section…

A: Method of Separation of variables

Q: I'm working on some complex analysis, and came across something that says |z|=1 which means z=1, but…

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Q: {3} ≤ {−1, 1, 3, 5, 6, 9}.

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Q: Hand written plzz : Find the Laplace transform F(s) = {f(t)} of the function f(t) = (8t) [U(t− 4) –…

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Q: Which of the following sets are closed under addition? (i) The set of all vectors in R² of the form…

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Q: Differentiate i (1 — z)²° - i (1 — z)² 2 i (1 - z) ³ 3

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Q: TH

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Q: (B) Solve the differential equation:- y"-3y' +2=0, y(0) = 1, y'(0) = 1, y" (0) = 0

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Q: -π∫π  ecosx dx to the integral value; a) With the Trapezoid Rule. b) Make an approximation with…

A: given function ∫-ππecosxdx (a) integrate with Trapezoidal rule (b) make an approximation with…

Q: Including a 7% sales​ tax, an inn charges $154.08 per night. Find the​ inn's nightly cost before…

A: Given: Including 7% sales tax, an inn charges $154.08. To find: The inn's nightly cost before tax is…

Q: 5. Consider a cylindrical water tank of constant cross section A. Water is pumped into the tank at a…

A: Solution:-

Q: Question 3 A motor has 5 speeds varying from X rpm to Y rpm in a Geometric Progression. (a)…

A: according to question, a motor has 5 speeds varying from X rpm to Y rpm in a geometric progression…

Q: hand written plz uchberger's Criterion, determine whether the following for the ideal they generate.…

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Q: Solve the given differential equations: 1. 3x²y dx − (x³ + y³)dy = 0, y(1) = −2

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Q: Use the Squeeze Theorem to show that  lim x→0 x2 cos(16?x) = 0.

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Q: What is the laplace transform of the periodic function shown in the picture.

A: Solution

Q: An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds…

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Q: 3.) f(t) = ½ (4-3) ² u(1-3)

A: Laplace transform of the function

Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x)=9 sin 3x What is…

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Q: 1 System of Linear Equations Given matrix A € Rmxn and column vector b Rmx1 describe the set X of…

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Q: (b) Prove that the intersection of finite collection of open sets in the metric space (M, d) is open…

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Q: Q4: Find the approximate solution for the initial value problem for two iterations: ý = 2xý – 3y +…

A: Let us find the approximate solution for the given initial value problem using Euler method in the…

Q: Find the Laplace transform of the following functions a) f(t) = tsin 2(t+ π) b) f(t)= (1 + e-t)²2

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Q: Q/ Find the particular solution to the differential equation x ý = y + 3 cos² (2²) y (1) = 0

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Q: Find the general solution of the d dy 2c-2v = dx 3 sin(x/2)√ √cos³(x/2)

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Q: hand written plz the Buchberger's Criterion, determine whether ases for the ideal they generate. You…

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Q: Problem 11. Certain radioactive material decays in such a way that the mass rem years is given by…

A: given mass of the radioactive substance remaining after 't' years is given by m(t)=320e-0.025t where…

Q: (a) Let f, g, h be continuous on the interval [a, b]. If f(a) g(b) > h(b), then there exists c =…

A: Only part (a) has been answered due to company policy, please submit other parts as separate…

Q: Allow T to be the surface with equation x² y² + (z-3√2)² --1 3² 1. Provide the equations of the…

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Q: Graph the equation. 3x +2y = 6 Use the graphing tool to graph the equation. Click to enlarge graph…

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Q: 4. All graphs in this question are finite and simple. (a) If T is a tree with at least 2 vertices,…

A: a) we have to prove if T is a tree with at-least 2 vertices, x(T)=2. We can restate it as: (All n,…

Q: 1) Write the given second order equation as its equivalent system of first order equations. u"…

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Q: (d) Explain why the other sequence is neither an AP or a GP

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Q: Problem 2. Let ƒ (x) = ln (½ + 9) and g(x) = x-7 your answer in interval notation. Find the domain…

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Q: 6- find the second order partial derivative's of the function: z = x sin sin (x²y)

A: Sol

Q: The smooth vector-valued function P(t) satisfies P(2)= (−4, 8,−7), P′(2)= (0,-5,2), and P’’(2)= (3,…

A: As per company guidelines i am solving first question please resubmit the question for next one…

Q: Consider the oriented curve C, which is the intersection, in the first octant of the surfaces shown…

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Q: 7. At what bearing should a ship aim in order to travel at a bearing of 98° if the 23 km/h wind is…

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