/ (22* + 3,/5 +) Calculate the indefinite integral: dz

Q: Solve the equation .11 y" + + 3y + 2y = x2

A: The given differential equation is: y''+3y'+2y=x2 So, we can also write as; D2+3D+2y=x2 The…

Q: dy 3y- + 4x = 0 dx

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Q: Solve the equation  ye^(2x)dx = (4 + e^(2x))dy

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Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 32 cm to a length…

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Q: Find a formula for Sn, n > 1, if sn is given by 6 7 3' 5' 7' 9' 11 4 8 - Sn =

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Q: The following is used for all problems 1-6 below: A scientist adds 60 ml of pure water and 15 ml of…

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Q: Suppose p(t) = - 0.36t° + 1021 + 6072t + 70,000 is the population of a city t years after 1994. a.…

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Q: Express the Cartesian coordinates (-3,1) in polar coordinates in at least two different ways. Write…

A: We have to convert in polar coordinates.

Q: H.W. 1. Find the arc length of the curve x = (y + 2)/2 from y=0 to y=1

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Q: n Σ=o(-1)n+1 (는) absolutely converges, conditionally converges or diverges. 12. Determine if

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Q: Find the explicit formula of an arithmetic sequence with the given pr d = 12, and a6 = 68 %3D %3D

A: Topic:- sequence and series

Q: dr 14. J z(x+1)²

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Q: 5 (а). and the bottom of the box costs 3 TL per cm². The sides of the box costs 1.5 TL per cm². We…

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Q: This exercise refers to the hyperbolic paraboloid z = y - x?. (a) Find an equation of the hyperbolic…

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Q: Use Newton's method to approximate a root of the equation 5x'+ 7x+2 =0 as follows. Let 1 = 3 be the…

A: For Newtons Method we have to calculate xn+1=xn-fxnf'xn  for n=1,2,3,.....

Q: pose g is a function which has continuous derivatives, and that g(5) = -3, g' (5) = 3, g"(5) = –1,…

A: We have to taylor polynomial of degree 2 and degree 3.

Q: Find the radius of convergence, R, of the series. (-1)" 2" n = 1 Find the interval, I, of…

A: for radius of convergence of a series  we will calculatelimn→∞an+1an<1  for the series ∑an  and…

Q: Question 1 The position vector of a particle is r(t). Find the requested vector. The acceleration at…

A: Topic  = Derivative

Q: The solution of the differential equation below is dy 3y- + 4x = 0 dx %3D

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Q: 7. Find the linear approximation to f(x)=x at c = 27. a. Use it to approximate 27.1.

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Q: Calculate the indefinite integral: 2x* + 3ī + da

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Q: Find the general solution of the second-order differential equation: 4y" – 4y' + 13y = 0.

A: We have to find the solutions

Q: Dr. Barrett wants to purchase a new piece of equipment for his practice. The eauipment can be…

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Q: Evaluate the following integral. cos x dx -6x 1 sin 2x dx 2 - 6n O C. dx + cos 2x dx OD. dx + - 6x 6…

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Q: 8 as a power series f(x) = S. Represent the function (1 – 8x) - n=0 Co C4 Find the radius of…

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Q: Express the integral as a limit of right endpoint Riemann sums. Do not evaluate the limit. 8 + x2 dx

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Q: Solve the equation (x^4 + 2y)dx - xdy = 0

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

Q: Plot the point whose polar coordinates are -3, In the graph below, use the 4. options to change the…

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Q: A particle is moving with acceleration a(t) = 6t + 16. its position at time t = velocity at time t =…

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Q: (х, у) — ху? + yex- +5

A: we have to find fxx and fyy.

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: The system has NO SOLUTION. see below the explanation

Q: Find the equation of the tangent line to the curve y = e' when it is paralel to 2r-y =7.

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Q: Consider the following. 2 f(x) = -x2 + 4 Find the x-values at which f is not continuous. Which of…

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Q: Find the critical numbers of f(x)=x^2−26x+3 and classify all extreme values, given that 0≤x≤15 .

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Q: Assume that the recursively defined sequence converges and find its limit. 10a a, = 10, an+1 (Type…

A: Use limit concept

Q: Find the third derivative of the function f(x)=8x^7/2. Simplify so there are no negative or…

A: Given query is to find the derivative if the expression.

Q: 3n3-2n2+4 6. Determine by the limit comparison test if Ln= n=D1 converges or diverges. n7-n3+2

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Q: Onelogin - Section 104 Homework…

A: Given curve, r=2+3cosθ

Q: Rewrite the following Cartesian equation as a polar equation using the variables r and 0. To input 0…

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Q: Find the minimum and maximum values of the function y = 1613 + 2412 on [1,2] by comparing values at…

A: The given function y=16t3+24t2 on 1,2

Q: 3 xp- 4.

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Use a change of variables to evaluate the following definite integral. dx Determine a change of…

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Q: Find the exact value of (2-x)e- dr. 2

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Q: * This equation is an example for linear equations dy y = x²e* + dx False O True

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Q: Suppose that F(x) = /. f(1) dt, where V6 +u du. f(t) =

A: Given F(x)=∫1x f(t) dt where f(t)=∫1t4 6+u5u du

Q: A gasoline tank is in the shape of a right circular cylinder (lying on its side) of length 14 ft and…

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Q: Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the…

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Q: Please solve using the method of Undetermined Coefficients. 3. (a) Find the general solution of the…

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Q: Question #6 The area in square meters of a pond covered by an aigae bloom decreases exponentially…

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Q: ind the limit. 11 lim x x-1* /hat must be done to put the given expression in a form to which…

A: Given query is to find the limit of the expression.