evaluate the improper integral / 1 dx. Does it converge x(In x)2 diverge? Justify your claim.

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Q: 7.) f (x)> (3x+2)(5x-2)

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A: Directional Derivative, Du f(x,y,z) = ∇f(x,y,z).u ; where , u is the unit vector  .

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A: Select a normal vector and a point then write the equation of the plane. 

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Q: Question 13 Are the following functions inverses? Select the correct answer. f(x) = 6x 2 | x + 2 g(...

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Q: 1. x3 + y3 – 2xy = 0, find y'.

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Q: 13. f (x) = sinx3 (2х-1)2

A: I have stated the used formulas in the solution

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Q: ind a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3, 1).

A: Given problem:- Find a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3,...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about r = xo and then find the nth Taylo...

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Q: Find f. f'(t) 8 cos(t) + sec?(t), -7/2 <t < a/2, f(a/3) = 5 f(t) =

A: Given 

Q: Consider the points A(2, –3, 4), B(4, –5, 1), C'(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of...

A: Let a,b,c,d are position vector of point A,B,C and D respectively. Therefore, a=2i-3j+4kb=4i-5j+kc=-...

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

A: We have to find equation of line in symmetric and parametric form.

Q: Se xe" ds. Cis the line segment from (0, 0, 0) to (1, 2, 3)

A: I am attaching image so that you understand each and every step.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Determine the coterminal angle of 0 that is in the interval [0, 27) 307л 0 = 3

A: The answer to this question can be obtained by changing the angle in radians into degrees and then d...

Q: Find the directional derivative of the function at P in the direction of v. V2 f(x, y) = x³ – y³, P(...

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Q: Find the x-intercepts. 2x2 – 3x + 1 y = 2x2 + 8x + 6 - (0.5, [?]), ([ ], [ ]) Enter the number that ...

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Q: per week) oOf revenue. decroasing at a rate $6 per week. Find the associated revenue function R(p) a...

A: Given query is to find revenue function and rate of change of revenue.

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), 8) v = (sin(0),...

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Q: Let f(x, y) = x² + xsin(y). %3D

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Q: A company estimates that the marginal cost (in dollars per item) of producing x items is 1.65 - 0.00...

A: Given,           A company estimates that the marginal cost in dollars per item of producing        ...

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Q: If cos (0) = - and tan (0) < 0, find all other trigonometric functions of 0.

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Q: y" – 6y + 10 y = 50 x + 3e - +20

A: We are asked to solve the differential equations.

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Q: The region bounded by the curve x=y?, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

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Q: draw a tree diagra w : fLx, y,z,N n and write chain rule! ニ y = f lu,v) , Z=f lu,V), N= f (u,V).

A: Here we will draw tree diagram and write chain rule,

Q: 1.) A spherical snowball is being made so that its volume is increasing at the rate of 8ft^3 min/ Fi...

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Q: f (x, Y, z) = X y sin z x²y fxuy . fywng foge equd Show that and bre

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Q: Coach Kent brings 3 quarts of sports drink to soccer practice. He gives the same amount of the drink...

A: Given that the coach brings a total of 3 quarts of the sports drink.

Q: Which of the following limits is equal to a* dæ? :) : A E(3+• lim n k 2 B (3+2 lim C 2k 3+ = lim n D...

A: Given problem:-

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize...

A: Let's find. 

Q: Given vectors u = (3, –6) and v = (-6, 2) , find the difference v – u and represent the difference g...

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Q: 11. DETAILS LARAPCALC10 3.5.002.MI. Find the number of units x that produces a maximum revenue R. R ...

A: Solve for value of x for maximum revenue

Q: 5. Find the general solution of the given differential equation y" + 3y" + 3y + y = 0

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Q: %3D

A: Find the second derivative and substitute in the given differential equation and solve for r. 

Q: Find f'(x). f(x) = (3x° + 2) * f'(x) = %3D

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Q: f(2) = 2 (z-4) (z – 1) (r+5) below: 120 80 40 10 40- 80 # zeros = 5

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Q: The region bounded by the curve ×=y2, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

A: We have to find volume. 

Q: Given the function f(x) = 8+8æ", calculate the following values: f(a) = %3D %3D f(a + h) = %3D f(a +...

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Q: 1. D + The region D above lies between the two red lines and the red parabola y ?. It can be describ...

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