Let y1 = 9cos(2x) and y2 = 2cos2 (x) – 2sin? (x). Calculate the Wronskian, W(y1, Y2). Give your conclusion

Q: Evaluate the integral using the following values. x3 dx = 960, x dx = 24, 8. dx = 4 -5x dx

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Q: Suppose the Sunglasses Hut Company has a profit function given by P(q)=−0.03q^2+6q−48 where qq is…

A: Given problem:- Suppose the Sunglasses Hut Company has a profit function given by P(q)=−0.03q2…

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A: Find your answers below

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Q: Find any critical numbers for f and then use the second derivative test to decide whether the…

A: For finding critical point f'(x) = 0

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A: Given u=3-i, w=-1+2i & z=2-3i To find (u+w)z

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

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Q: y = (x+ 2) 2 y = 4 X = -2 y= (x+2)? y= 4 Select the best option to describe the method to solve this…

A: Solution is given below:

Q: Evaluate the integral. 1. (7 – 8v3 + 16v7) dv |

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Q: 5, (1) Find the eigenvalues and the eigenvectors of the matrix A = %3D 3 -2

A: The given matrix is: A=563-2

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Q: 888 Chapter Sixteen INTEGRATING FUNCTIONS OF SEVERAL VARIABLES 1-z2-y2 8. f(x, y, z) dy dz dx 11.…

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

Q: Let g(x) = dt, where f is the function whose graph is shown. (a) At what values of x do the local…

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Q: Find f. f '(x) = sqrtX(6 + 5x),    f(1) = 11

A: Given;   f '(x) = sqrtx(6 + 5x),    f(1) = 11

Q: Find any critical numbers for f and then use the second derivative test to decide whether the…

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Q: z = 49- 72 2y2.

A: answer is in next step

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A: On solving this we will get

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Q: Use any method to find the relative extrema of the function f (x) = 6x + 13xs. If there is no…

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Q: Determine the way in which the line [x, y, z] = [2,−3, 0] + k[−1,3,−1] intersects the plane[x, y, z]…

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Q: For the function f(x) = 7x° - 2x2 + 5x+6, find f"(x). Then find f'"(0) and f"(3). f"(x) =

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Q: Given a function F(x) =xv/x+6. ) Find the intervals of increase or decrease. ) Find the local…

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Q: Trigonometric Groups 3. S sin³x cos5xdx 4. S Vtan x sec*x dx

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Q: Find the point on the sphere X+y+=4 and the point on The sphere x+y ansi- 2 Selution:-

A: To find the point on the sphere which is farthest from the given  point (1,-1,1).

Q: 3. Land in downtown Columbia is valued at $10 a square foot. What is the value of a triangular lot…

A: Given: Land in downtown Columbia is valued at $10 a square foot. Triangular lot with sides lengths…

Q: Trigonometric Substitution SV9-y dy Vy dx 6. S e 2x+1

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Function:

A: answer is in next step

Q: Evaluate the integral. 1 | (4 + r)³ dr

A: Given query is to find the value of the integral.

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A: We have to find the perimeter of the regular hexagonal base, the measure of the apothem of the…

Q: 1. For y=In2x, determine the equation of a tangent line parallel to 2x-3y+1=0.

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

Q: Solve equation by using the quadratic formula. List the solutions, separated by commas. 3t + t – 9 =…

A: Our Aim is to solve equation given below using the quadratic formula3t2+t-9=0 -(i)

Q: Problem2. 3–2x Solve e = 4. And then: 1. Leave your answer in exact value. 2. Round your answer to…

A: Given: e3-2x=4

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Q: 2. Suppose that f(x) is a function with f(20) = 345 and f'(20)=6. Estimate f(22). [4 marks]

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Q: Find the open intervals where the function is concave upward or concave downward. Find any…

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Q: 2. Suppose that a certain population obeys the logistic equation * - (1 -) dy = ry dt k k find the…

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Q: The rate A (in tons per year) at which a pollutant is being dumped near a city is given by the…

A: Total amount of pollutant dumped is obtained by integrating the function A(t)

Q: 4: Show yor work. a) | 1: Find the exact area of the surface obtained by rotating the curve y? +x…

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Q: Assume the point (3,2) is on the graph of y=f(x). Determine the value of n in the following…

A: Given query is to find the value of the indicated points.

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

A: Find your answer below

Q: Find f"(x), the third derivative of f, and f4 (x), the fourth derivative of f. f(x) = 7x* + 2x° +…

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Q: A tank initially holds 10 gal of fresh water. At t=0, a brine solution containing lb of salt per…

A: We have to find amount and concentration.