Which of the following series is converges or diverges. If the series converges, find its sum? 2+2

Q: Find an equation of the circle that satisfies the given conditions Center (-2, 9); passes through…

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Q: A hyperbola has aymptotes y=+-3x/2 and vertices at (0,+-6). Find an equation of this hyperbola.

A: A hyperbola has aymptotes y=±3x2 and vertices at 0,±6

Q: Find the differentiation and provide a complete solution a. f(x)=x2√1-x2 b. y=tan3x

A: See this diff and provide a complete solution in below

Q: Determine whether the series converges. 1 Σ- k=1 √11k - 1 The series diverges. The series converges.

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Q: B/ Find the Laplace transform of f(t) defined as: f(t) = (t-1, (3-t, when 1< t <2 when 2 < t <3

A: Let's find laplace transform of given function.

Q: State the order of the given ordinary differential equation. (sin 8)y"" - (cos 8)y' = 7 Determine…

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Q: Q1/ A: Find: 1 1 L-1 55+4 53 2S-18 $²49 + 24-30 √S 54 2- L (t² cos at)

A: As per bartleby guidelines we only give first question answers.

Q: . Determine the following function U is harmonic or not x U = 3 + y cos sin cos sin

A: This question is related to Functions, we will solve it using given information.

Q: To integrate x3x² 842 242 Ox we apply integration by parts and in the form u dv, dv is set as: dx'

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Q: 3. Given the signalsy₁ [n] = [-1 3 1 2 1] and y₂[n] = [−2 - 1 3 Evaluate the output for a. _Y₂[n] +…

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Q: (i)_ xyy' + y² = 2x separable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x Bernoulli in…

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Q: What is the domain of this function? (assume there are arrows at the ends of the graph The answer…

A: We have to find the solution

Q: Find values of a, b, and c such that the graph of the polynomial p (x) = ax²+bx+c passes through the…

A: p(x) = ax2+bx+c passes through point (1,7) , (-1,13) and (2,7). So, Form three equation using, p(1)…

Q: 1. Consider the function y-3cosx-2x-1. a. What is the amplitude of the function? b. What is the…

A: Note:- according to the company policy we can do only three subpart of a question so please upload…

Q: Solve the given initial-value problem. dx y - X= = 5y², x(8) = 1 dy x(y) = Give the largest interval…

A: Given that,   ydxdy-x=5y2, x(8)=1

Q: A ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. x…

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

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Q: Find an equation of the line through P(1,-2,4) with direction vector v=[2,4,-4] Find the equation of…

A: I am attaching image so that you understand each and every step.

Q: A/ Solve the differential equation. (2x² + 3y²-7)x dx - (3x² + 2y²-8)y dy = 0

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Q: y (6) cosh(y) + yy" = 7y³ A - a non-linear differential equatio n of the sixth degree. B - a linear…

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Q: What is a for the sequence a₁ = n² - n? A. a₁ = 8 B. a = 12 C. a = 4 D. a₁ = 16 OA OB OC OD

A: Here is the solution:

Q: integral is easier to evaluate in one order than the other. Find the best order and evaluate the…

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Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

A: The average value of a function S(t) from t=a to t=b is found with the integral  1b−a∫abS(t)dt.

Q: Use the subsitution t = tan(x/2) to transform the integrand into a rational function of t and then…

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Q: Q1/ A: Find: 1 L-1 [55+4 2S-18 24-30 √5 + $²49 the fin 2- L (t² cos at) bu Finite Differences Mot

A: According to bartleby guidelines when student post more than one questions expert must have to…

Q: 2/ using the integration test the series A n³+n $ Σn. divergent n=1 √√√²² +21² +2 A true 1 Error

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Q: =) 2xydy + ( x² + y²) dy > 0

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Q: (x - 2)² + (y + 2)² = 8 The polar equation of the Cartesian equation r = 4r cos 0 - 4r sin 0 - A r =…

A: We need to find polar equation.

Q: 4x 3 1) cos-- 3) cos- T 4 adton 2) sin 4) sin 5n 3 11 6

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

Q: Find the volume of parallelepiped if A = ai + aj, B = cj + ck and C = bi + bk

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Q: Solve the differential equation. (2x² + 3y²-7)x dx-(3x² + 2y²-8)y dy = 0

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Q: In this problem, y = c₁e* + c₂e is a two-parameter family of solutions of the second-order DE y" - y…

A: The parameter family of solutions,     y=C1ex+C2e-x ; y(0)=1, y'(0)=8

Q: Q3:A. Determine the following function U is harmonic or not x y U = 3 + cos sin ossin

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Q: A sector of a circle has a central angle of 120°. Find the area of the sector if the radius of the…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

A: We need to solve D.E.

Q: Determine if the sequence converges or diverges. If it converges, state the limit. an nsin = in 1.²1…

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Q: Consider the following differential equation. ydx - 7(x + y) dy = 0

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Q: Find the derivative f(x) = |x-21= X-2 -(x-2) ×22 x 22

A: To find the derivative and then to evaluate each intervals with derivate.fx=x-2=x-2,  x≥2-x-2,…

Q: Z₁=2i8+2i9 22=14-3115 find 21 Z₂

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Q: Use the formula for the binomial series: (1 + x)" = = to obtain the Maclaurin series for (k + 7)! 1…

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Q: If y = u³ - 2u + 1, where u = 2√x, find at x = 4 -23 23 33 none of the above dy when x =

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Q: Consider the equation 4y^2 + z^2 − 4x − 8y + 4z + 8 = 0. Then classify the surface it represents…

A: Given equation of surfaces 4y2+z2-4x-8y+4z+8=0

Q: Which of the following is a graph of F = (1, 0, 0)? O

A: To find out the correct option.

Q: Find an explicit solution of the given initial-value problem. √2 √1-y² dx - √1- x² dy = 0, y(0) = =…

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Q: B: Solve the following differential equation by Laplace: d²y + 2 + 5y = et sint dx €13 ,y(0) = 0,…

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Q: Which of these series converges? Α.Σ2 k=1 ∞ k Β.Σ 20K-3 1 C. √√k k=1 3 Dak√k Ο.Σ.

A: See the details solution in below

Q: A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the…

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Q: kop (e + bx) = (xph + hp x )ch (s

A: We  have to find the general solution of the given differential equation.

Q: Use the Fundamental Theorem of Calculus to evaluate the integral: 5/4 sin x dx. Jπ/2 C. A. - B. D.…

A: The objective of the question is evaluate definite integral using the fundamental theorem and choose…