Find the solution of the differential equation. 16y’’+24y’+9y=0 theme: repeated roots; order reduction

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A: The given series is: ∑k=1∞3kk!kk Now, it is a positive term series. So, it is either absolutely…

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Q: (c) sin(3x) sin(x)dx

A: Evaluate :   ∫sin(3x)sin(x) dx

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Q: 198 5k Σ 4 k=1 7k +3 loose the correct answer below.

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Q: If 0 = sec (0) csc (0) = 1 -π, enter exact value for each function. 6 = tan (0) cot (0) = __ 0002

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Q: Given the functions f(x)= x^2 -2x+1 and g(x) =5x-4 determine:       (a) g(4) -g(3).   (b) f{g(2)}

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Q: Use the graph below to determine the values of x at which the function is not continuous. -10 x = 4²…

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Q: Does the series (-1)k +1_ k=1 6 k +4 converge absolutely, converge conditionally, or diverge? Choose…

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Q: 4. Gill wants to reach a movie commercial from a building, 60 feet above the street. If Gill has a…

A: We can solve the given problem by using the trigonometric ratios

Q: Solve the equation. (Find all solutions of the equation in the interval [0, 2?). Enter your answers…

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Q: Find the fundamental set of solutions for the differential equation L[y] =y" - 5y' + 6y = 0 and…

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Q: QUESTION 1 Consider f(x)=x²+2x+1. Which of the following is true? Of is continuous at all C; given…

A: Let's solve.

Q: Write the following expression as a single summation. ΤΗΣΗΣ 7· Σ (k2 + 8) + 9· Σ (2 - 1) = Σ k = 1 k…

A: Note :- These are multiple questions and according to our comapny guideline we can do maximum 1…

Q: Calculate the first eight terms of the sequence of partial sums correct to (-1)^-1 n! 1 2 لیا A 5 N…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: To find the directional derivative of the function at a given point in a unit direction.

Q: State the range of the following function g(x) = = 7- 2x² x ER

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Q: 0 6. Consider the equation 2³-1-3x, which has a unique root between x = and = 1. Apply Newton's…

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Q: Find the shaded region in the graph. s 2 T y=4 y=3 cos x +1 x/6 X=- KIN x/3 2 л/2 2x/3 23 5x/6

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Q: An aircraft is flying at 320 km/hr on a bearing of 70°. The wind is blowing at 40 km/hr from a…

A: An aircraft is flying at 320 km/hr on a bearing of 70°. The wind is blowing at 40 km/hr from a…

Q: Find the volume generated by revolving the area 1 bounded by y = " x³ + 16x² + 63x (Round the answer…

A: We need to find volume.

Q: 1. 8. (v³ - 3y + 2)√√9+x²dx + x²dy = 0 (x² - 1)y" + 2y' — (x − 1)(x + 1)² = 0

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Q: Solve the initial value differential equation: (x² + 1) + 3xy = 3x where y(0) = 2

A: Given Differential equation,x2 + 1dydx + 3xy = 3xandy0 = 2

Q: Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal…

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Q: . Sketch the graph of g(x)=sin7x, using the amplitude and th period.

A: To sketch the graph of the function

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Q: Questions Identify the two regions that do not have a positive slope. What are they and what do they…

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Q: Problem 6. The graph of f' (not f) is given below. At which of the marked values of x is A. f(x)…

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Q: Find the area of the shaded region

A: Given :Function :y=1y=cos2x

Q: Use the comparison theorem with f(x) = = 1 √x r∞ 1 •√₂ √I-1 to show that is divergent.

A: Solution is given below:

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Q: Determine the intervals in which solutions are sure to exist. t(t2)y(4) + e'y" + 9t²y = 0 Enter the…

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Q: [4 - x - x² if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

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Q: Find cube roots of -64i. Graph each cube root as a vector in the complex plane

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Q: g(x) 8. Assume that f(x) and table. Use the following table to calculate the following derivative. 1…

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Q: Choose the correct answer by using the Product rule of derivative. d dx - (x4.x7) is equal to…

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