Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR. P(2, - 2,0), Q(0,0, – 2), R(0,0,2)

Q: (1 1 1) \ Find the co-factor matrix of | 2 4 \5 8 9. Find the adjoint of matrix A if A = d)

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Q: (y - 1)2 (x +3)2 =1? Which of the following is true about the hyperbola |- 4 9.

A: Follow the procedure given below.

Q: Find the area bounded by y = + 1, y = V1– 2x, and y = 0. 4 y=: sqrt(1 - 2x) 3 2 -3 -2 -1 2 3 6. y=: ...

A: This question is based on integration .we found the area surrounded by the curve using integration. ...

Q: Find the length of the minor axis of the ellipse 16x? + 25y? = 400? 0 8 O 16 O 5 O 4

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Q: 1. The derivative of f(t) = (4t² - t)(t - 8t2 + 12) is f'(t) = 20t* – 132t³ + 24t2 + 96t – 6. %3D

A: This is a question related to derivative of the function. Based on the general formula and rules of ...

Q: Find tan'e de cos*e 33. sin o 36. Cos

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Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

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Q: 10x dæ x4 + 4x2 + 3

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

A: Here we have to check the convergence of integral.

Q: Use your analytic calculation to show me: sin' 0 do = 0 -27 sin e de = 7

A: Given problem:-  

Q: Give an example of a definite integral which has value 2022. Only answer is required.

A: Example of a definite integral has value 2022.

Q: Choose each improper integral from the options below. (No work is required to be su OA. J. ーx dX xe ...

A: NOTE: Refresh your page if you can't see any equations. . here upper and lower limits are finite an...

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Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

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Q: Sketch the level curve of the function h(x, y) = y? - a? for c = 25.

A: Here we have to sketch the level curve.

Q: -83° sin (2x) cot (x) dx 370 csc (x)

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Q: If P(a, b) is on the unit circle whose arc léngth from the point (1, 0) is t, which of the following...

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Q: II. HIGHER DERIVATIVES C. Find the third derivative of the given function/s. 3. y = x(2x + 1)? 4. y ...

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Q: 7In(x) dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Let s(t) 6t 36t2 90t be the equation of motion for a particle. Find a function for the velocity. v(t...

A: NOTE: Refresh your page if you can't see any equations. . to find the equation of velocity, take th...

Q: 4. Evaluate the limit of as e approaches 0. 2a A 2 B. % CO D. infinity

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Q: (sinex- 2ycos x) dx = 2dy

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Q: On the graph of the function f(x) the following sequence of transformations is performed: 1. vertica...

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Q: Determine whether the integral is converget or divergent. If it is ca (x-4)3/2 The integral is (conv...

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Q: It is known that the population of a certain country at time t is proportional to the people living ...

A: Given:- It is known that the population of a certain country at time t is proportional to the people...

Q: 2. Use trigonometric substitution to Vx² – 25 dx integrate: 4

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Q: 1. Consider the region bounded by y = x and y = Vx, shown below. | Y Find the volume of the solid ob...

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Q: Plot the following points on the coordinate plane. You can use different colors of pen/pencil/crayon...

A: The given points are: M=(0, -3)B=(0, 4)S=(2, 0)Q=(-2, 5)

Q: An initial population starts out at 1,000. An hour later, the population is 2,000. Find how long it ...

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Q: 5æ? about the y axis for 3 < x < 8 Find the area of the surface obtained by rotating the curve y No ...

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Q: Setup an integral to find the surface area obtained by rotating the curve y = e" about the line y = ...

A:  Given: y=ex   about the line y=119  with the limits 0≤x≤4.6 To obtain the new limits and the Surfac...

Q: + Cnun) 2. You are given that T: U X is a linear transformation. Prove that, T(c,u, + C2u2 + = c, T(...

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Given query is to find the volume of the solid generated using cylindrical shell method. Fist we wil...

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Q: coshi +eoshm' ") sinhmdm

A: For the solution follow the next step.

Q: Complete

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Q: What value of x does NOT satisfy the equation sin' x + sin x = 0? O 3T 2 O T O 2T 卡|2

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Q: find the integrating factor of (y² - x ) dx + 2ydy = 0

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Q: 2 -16x dy (a) find (b) find the slope of the tangent at x=4 (c) equation of the tangent at x=4. 2.3 ...

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a5 year p...

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Q: Let R be the region in the first quadrant, bounded by the graph of Y = VT, the y-axis, and the line ...

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Q: Which of the following is equal to cos x- sin' x ? 4 | O sin 2x O - sin 2x | O - cos 2x

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Q: y = Ae2* + Bxe2x

A: The solution is given in the next step.

Q: 1. Using the fact that n(n + 1) Σ k=1 find x³ dx using Riemann sums.

A: Given :  

Q: Evaluate e dV where E is enclosed by the paraboloid z = 4 + x² + y², the %3D cylinder x? + y² = 3, a...

A: We need to evaluate integral.

Q: 2 (2xy t Hy-3) dx + (x +2J°dy =0

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: 2. ху 4 a. when x=8 10 dx b. when x-1 dt dy dt -6

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Q: 5. Find the linear approximation (i.e. the tangent plane) of f(x, y) = Vx/y at the point (9, 4) and ...

A: The Local Linear approximation of f at (x,y) using the partial derivative f at (x0,y0) is given by  ...