Needed to be solve correctly in 20 minutes and get the thumbs up please show neat and clean work

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Q: Cosine of Angle of Rotation (3d) The following matrix is the matrix of rotation. Find the cosine of…

A: Consider the given rotation matrix, Q=-23-13-2323-23-13-13-2323 Here we need to determine cosine of…

Q: Consider the following data representing the price of laptop computers (in dollars). 1465, 1151,…

A: Please see the answer below.

Q: Problem 3 Use Lagrange multipliers to find the dimensions (in meters) of a rectangle with perimeter…

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Q: - 1. Find the derivative of the following functions. f(x) = (Inx)* a. b. I (x) = x43-2x

A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Use the given transformation to evaluate the given integral, where R is the triangular region with…

A: To find the integral using given transformation .

Q: 4. The velocity of a speed boat in ft/sec at selected times is given in the table. t 10 15 20 25 30…

A: (a) Acceleration = Change in velocitychange in time

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

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Q: 9. In the figure are represented graphically the function y = f(x) and its first and second Identify…

A: 9. Given is the graph of the function y = f(x), and its first and second derivative.   To Identify:…

Q: Evaluate the triple integral. 10x dV, where E is bounded by the paraboloid x = 5y? + 5z2 and the…

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Q: 3. Given sin(A) = in Quadrant 1 and cos(B) = -in Quadrant 3, find sin(A + B). Leave your answer in…

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Q: Problem 6 This extreme value problem has a solution with both a maximum value and a minimum value.…

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Q: Use spherical coordinates. (a) Find the volume of the solid that lies above the cone o = n/3 and…

A: v=Center of mass  x¯=∫∫∫x dVVy¯=∫∫∫y dVVz¯=∫∫∫z dVV

Q: Express the double integral in terms of a single integral with respect to r. Then use a calculator…

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Q: Evaluate the iterated integral. (7 + 14y) dy dx

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Q: 5 students are selected at random from your class of 100 students to attend an event. What is the…

A: 5 Students are selected randomly from 100 students to attend event.  The total number of ways to…

Q: 4. Assume there is a hole made through the center of the Earth and a ball of mass m is dropped into…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: First we solve for critical point find the partial derivative with respect to X and y separately and…

Q: 12. y' + (tan x) y = cos 3 subject to IC: y(0) = -1

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Q: Find the extreme values of f on the region described by the inequality. f(x, y) = e-XY; x2 + 4y2 s 1…

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Q: Kindly solve ASAP in 30 minutes and get the thumbs up please show me neat and clean work for it by…

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Q: The graph of the function f is shown below. Which statement best describes the value of f'(-1)?…

A: Please see the below picture for detailed solution.

Q: Consider the region bounded by y=x² and y=x in the first quadrant. What is the volume of the solid…

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