y" – 4y' = x2 By used Variation of Parameters Metho

Q: 3 + 2* is 5* 28. lim 4 X -0 2 (A) 5 (B) 0 (C) (D) nonexistent -- 3/4

A: topic - limits

Q: What is the slope of the line tangent to the graph of a function defined by f(x)= x² + √x at x=1?

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

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Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given ...

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Q: 4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the r...

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Q: The result of the integral dx (x + 2)(x + 1) is equal to Select one: O a. None of these O b. In|x + ...

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Q: Differentiate the following Algebraic function. 2x2 1.y = - V7 3x-2 2. y 2x+1 3.y =+

A: 1.y=2x2x2-x232.y=3x-22x+13.y=5x2+1x3Note :If multiple questions are given we have to answer only thr...

Q: Find dy if y =log Viax alog (L_x²) a .2

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Q: Show the solution that a,+1 < a, for each n E N (-1)" п! n=1

A: Find your answer below 

Q: Solve the area bounded by y³+y²+10 = (x+1)², the lines y=−2 and y=2

A: Given: - The curve is, y3+y2+10=(x+1)2 and the lines are y=-2 and y=2 To solve: - The area bounded b...

Q: * A 5 m pole, leaning against a wall slips in such a way that its base is vaun moving away from the ...

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Q: 2. Which of the following is correctly matched? O z'y" - e"y" + sin r(y') = 0: linear, third order O...

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Q: Sunlight is absorbed in water, and as a result the light intensity in oceans, lakes, and ponds decre...

A: Let's find. 

Q: (-1)"+12nx" n2 + 3 n=1

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Q: 1.) The cost C of a product is a function of the quantity x of the product: C(x) = x² – 4000x + 50. ...

A: As per our guidelines we are suppose to solve only first question if the multiple questions are post...

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: Find the partial derivative indicated. Assume the variables are restricted to a domain on which the ...

A: The given function,z=2x2y3-y315xy-8

Q: V4-9x2dx (Use trigonometric Substitution) Evaluate 3x Then, write the coefficient of the integral: B...

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Q: I. Use the limit of the rates as Ax approaches zero. Ax 3. y = x3

A: Given: - y=x3, the limit of rates ∆y∆x as ∆x approaches zero. To calculate: - The complete solution ...

Q: x = 3 sin 0 is an appropriate trigonometric substitution for the integral 3-x2 dxp. x2 Select one: O...

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Q: 5. For this problem, you have to read and study the textbook pages 762- 763 about The Limit 00 8. Co...

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Q: -Find the equation (standard form) of the circle that passes through the point (6,5) that is centere...

A: topic - equation of a circle

Q: 2. a) Find lim g(x), lim g(x) and lim g(x) 2 b) Find f(1). c) Is g continuous at x = 1? Why or why n...

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Q: Let C be the graph of the equation In(3y – 2e") = sinh (ma) - tan(y- 1). dy (a) Find da (b) Find an ...

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Q: Find the derivative of 4x - 9y = 17 9x y' = 4y -4x y' = 9y 9x 4y 4x 9y

A: Given problem:- Find the derivative of 4x² - 9y² = 17

Q: sequence is defined recursively as sk = sk-1 + 3k  for k ≥ 2. s1 = 4 s2 =  s3 =  s4 =  s5 =

A: A sequence is defined recursively as sk = sk-1 + 3k  for k ≥ 2. s1 = 4

Q: Find the critical numbers of the function f(x) = 2x3-15x2+36x - 24. %3D O a -2 and3 O b. 2 and 3 Oc....

A: Topic = Algebra &amp; Derivative

Q: Consider the function f(x) whose second derivative is f''(r) = 9x + 6 sin(z). If f(0) = 3 and f'(0) ...

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Q: Determine whether the improper integral diverges or converges. dx

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Q: The Laplace transform of a continuous function over the interval | 0, ∞) is def F(e) = / ° f(x)dx. T...

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Q: 8) y"+4y' +5y= 0

A: Since you have posted multiple question, as per guidelines we can solve only one question at a time ...

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of ...

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Q: Given the following multiplication problem Equation 1: - 24V,=-8V2 -24 8 gives us equations -2 Equat...

A: From the matrix, we have the eigenvalues as  λ1=-26λ2=0 When, λ1=-26 the eigenvector is μ1=-41

Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the cylinder y = ...

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Q: Given the following matrix and its eigenvalues 3 4 6 -7 1. Find the two eigenvalues for the matrix 2...

A: Given

Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = o y(x) -

A: Solution:3y''+2y'+y=03D2+2D+1y=0Auxiliary equation 3m2+2m+1=0m=-2±22-4×3×12×3=-2±22i2×3=-1±2i3m=-13±...

Q: Consider the function f(z) = 2 sin on the interval [0, 19]. %3D 2 4 6 8 10 12 14 16 18 Find the aver...

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers u...

A: topic - increasing and decreasing intervals of function

Q: 11. In the problem, t is a real number and P = ,-26 is the point on the unit circle that corresponds...

A: Topic = Trigonometry

Q: Find the slope of the tangent to the curve x^2+3xy+y^2=5 at (1,1).

A: The equation of the curve is given by x2+3xy+y2 = 5                           .......1 The point is ...

Q: x = et – 1, y = e2t a) Eliminate the parameter to find a Cartesian equation of the curve.

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Q: Differentiate the function. 1,2 g(x) = 6. 6x + 15 | g'(x) = %3D

A: topic - derivative of a function

Q: what is the square root of  188 what is 100 times 1 regroup 158+888

A: Given; 1) square root of 188. 2)100 Times 1. 3) regroup 158+888.

Q: If y=3xe , then what is d²y. 3x dx 2

A: Let's find. 

Q: coth? (x) – csch2(x) = 1

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Q: Correct. Determine whether the series converges. 1 Vk +9 O The series converges. The series diverges...

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Q: Given the functions f(x) = 3+ Vã, g(x) = x² – 3, h(x) 1 - x m(r): I - 3 find the following: 3x + 5' ...

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Q: Ir the instantaneous rate of change of x) at (,-9) is 7, write the equation of the line tangent to t...

A: The given question can be solved as shown in step2.

Q: y 1.5 2.5 2.5 2.5 2.5 13.68 3.

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Q: Given the following matrix and its eigenvalues 25 has eigenvalues R, = -3 and R, = 3 1. Find the mat...

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