Find an equation of the plane with the given characteristics. The plane contains the y-axis and makes an angle of /6 with the positive x-axis. 3z = 0 X

Q: √ [F(x₁) Evaluate f(x, y) ds. f(x, y) = xy S: r(u, v) = 8 cos ui + 8 sin u j + vk Osus, OsvS1

A: Given that   we have to evaluate ∫S∫ f(x,y)dS  and                                fx,y =xyS: ru,v =…

Q: Suppose that f(x) = 2x4 + 9x2. Evaluate each of the following: f'(1) = f'(-3) =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: Given the density at a point 'x' cm from the left end ( origin) is d(x) = 2/(1+x) The length of the…

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Q: Roughly 12,000 people in a certain country are diagnosed with thyroid cancer every year, which…

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Q: Use linear approximation (or differentials) to estimate the given number. Estimate sin (5°) using…

A: 1. we have to find sin5° using that sin0°=02. we have to find ln3 using that lne=1 use the linear…

Q: verges. 8 (-1)"6" n=1 5n lect the correct answer below: a) The series converges absolutely O b) The…

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Q: Use the counting techniques from the last chapter. A bag contains two red marbles, three green ones,…

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Q: If the rate of change of N is inversely proportional to sec(x)- N where (-<x<). If N(O)=3, and N() =…

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

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -5…

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Q: dy Find the complete solution of 2 + 4y = 1 dx

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Q: 2. A ball travels in a circle at 3 radians/s and starts on the positive x-axis. How far away is the…

A: Let 'w' be the angular speed of the ball travels in a circle.  Thus, w= 3 radians/s.  Let 't' be the…

Q: 7. Prove: cos(0 + 2) 7) = sine.

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Q: Evaluate the following integral using trigonometric substitution. dx 2 x - 289 " || X> 17 dx 2 x² -…

A: The objective is to evaluate the integral using trigonometric substitution.

Q: 1. 2. (D² -3D+2)y=sine-*

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Q: 2 y = In (x-√x²-1), for 1 ≤ x ≤ √/485 (Hint: The length of the curve is (Simplify your answer)

A: Topic:- application of derivatives and integration

Q: Determine whether the telescoping series converges or diverges. 5 5 Σn=1 (√2+2 -√2+3) /n+2 a) The…

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Q: education. He has found a bank that will pay 9 percent interest compounded continuously. How much…

A: Topic:- algebra

Q: lim (cos(9x)) (+) +0+x

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Q: Consider the function f(x) = 12x5 + 60x¹ - 240x³+4. f(x) has inflection points at (reading from left…

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

Q: Rewrite the following equation with the variables separated. y' tan(y) = sin(y) (2x+1) Find the…

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Q: Find the area of the surface generated when the given curve is revolved about the x-axis. 3 1 + 6 2x…

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Q: Question 5 Find the partial derivative for the function z = cos 08--17y¹8sin(x¹7+y¹7) - 17y¹6…

A: Given that     z = cosx17+y17      we have to evaluate partial derivative ∂z∂y .    since we…

Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 8x³ +84x² + 240x. g'(x) =…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others parts…

Q: If f(3) = 5 and f ′(x) ≥ 2 for 3 ≤ x ≤ 7, how small can f(7) possibly be?

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Q: II) Given: • tan a = 2√6, a € [0, π] •cos 3 = 3 5' Find the numerical value of the following: and…

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Q: Suppose de cos 0 sin³0. Answer the following. 6) Separate the differential equation, then integrate…

A: answer is in next step.

Q: The base of a three-dimensional figure is bound by the graph x = y3 on the interval [1, 2]. Vertical…

A: answer is in next step.

Q: a) Determine an equation of the inverse of the function y = 2x² + 5. Sketch the function and it's…

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Q: Find the nth term of a sequence whose first several terms are given. 3, 5, 3, 5, 3, 5, ... an =

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Q: Consider the following. u = (-2, -7, -5), V = = (-8, 3, -6) (a) Find the projection of u onto v. (b)…

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Q: Use Stokes's Theorem to evaluate F. dr. Use a computer algebra system to verify your results. In…

A: Here,  g(x,y)=49-x2G(x,y,z)=z-g(x,y)

Q: When you evaluate: A B D B C None of the given choices E RIN 2 SST xsin ²(y) dy dx the results is 0…

A: The given double  integral is xSin2y, y from 0 to pi, x from 0 to 2.

Q: Problem 18. Sketch the region enclosed by the given curves. Decide whether to integrate with respect…

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Q: The lower arch of the Sydney Harbour Bridge is 503 metres in width and 118 metres high. It is also a…

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Q: Question 1 Find the partial derivative ♬, for the function ƒ(x, y) = x² − 3y² +5.

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Q: 68 3 (x + yz) dx + 2x dy + xyz dz, C consists of line segments (1, 0, 1) to (2, 3, 1) and from (2,…

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Q: I. Given: 3x - y - 2z = 1 -x + 6y -3z = 0 -2x-3y + 6z = 6

A: The objective of the question is slove the system of equations help of determinant.

Q: Find the nth term of a sequence whose first several terms are given. 11 17 23 29 4 9 16' 25' an = II…

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Q: Find the area of the region in the first quadrant bounded above by y = -x² + 6 and below by y = x. 4…

A: Solution of given question is written in below steps.

Q: Given the g(x) function, what is the best estimate for the instantaneous rate of change at x=3? g(x)…

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Q: Find all cube roots of the complex number −1 + i

A: We have to find all the cube roots of the given complex number.

Q: Find the integral. √(x + 1)e 6x² + 12 е 12x dx √(x + 1)e 6x² + 12x dx = [

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Q: Consider the following graph: 28 14 1 3/14 6,28 x a) Write an equation for the graph with a single…

A: Given

Q: Use the Laplace transform to solve the following initial value problem: y' + 7y - 18y=0 y(0) = 1,…

A: As per guidelines, I can answer maximum three sub parts of a question. Since you have asked for…

Q: If tan(x) Give exact answers. sin(2x) = cos(2x) tan(2x) = (in Quadrant 1), find Submit Question Jump…

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Q: 8. Prove: 2 1-tan x 1+tan²x cox2x.

A: (1-tan2x )/(1 +tan2x ) = cos2x here we have to compare the left hand side and right hand side apply…

Q: x²+ 1 dx x² +4 S_x² + =

A: Given Problem:- ∫x2+1x2+4dx

Q: Question 5 Determine the volume of the solid formed by revolving the area bounded by y=x²-2x and y=0…

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Q: n Use the comparison test to determine if the series n=1n²³+²+1 converges or diverges.

A: The given series is ∑n=1∞nn3+n+1 we have to find the series is converges or diverges, by using…