11T A point has polar coordinates ( 8, 6. Convert to rectangular coordinates. (r, y) = Enter your answer as an ordered pair of rectangular coordinates, enclosed within parentheses. Give exact answers! Decimal approximations will be marked as incorrect. Submit Question

Q: Se2*dx 8.

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Q: For the function f(x) = 1 – 1/ (x + 2)2, find the following: f(-x)

A: topic- functions

Q: Let z be a function of x and y defined implicitly from the equation 9ye" - 5 cos(y+ z – 1) = 7x – 12...

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Q: The distance, in feet, a moving object has traveled after t seconds is given by 3t/(4 + t). Find the...

A: We can find the required acceleration as below.

Q: 35-40 Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the ...

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Q: Evaluate the integral. Show all your work. sin? x cos' xdx

A: ∫ sin2xcos3xdx

Q: S(x) 3

A: The objective is to find the limit.

Q: Find the distance from the point (3, 3, 5) to the plane 3x - 3y + 3z = 5. Leave your answer correct ...

A: topic- distance of a point from a plane 

Q: Evaluate the integral. Show all your work. | sin? xcos' xdx

A: The given integral problem is solved below in detail.

Q: How do I simplify (9-sin(x))(4-3cos(x))-(9cos(x))(3sin(x))

A: Given that: (9-sinx)(4-3cosx)-(9cosx)(3sinx)

Q: A model for tumor growth is given by the Gompertz equation = a (In b – In V) V where a and b are pos...

A: Given:  A model for tumor growth is given by the Gompertz equation, dVdt=aln b-ln VV, where a and b ...

Q: Find x' for x(t) defined implicitly by x +tx+t° - 4 = 0 and then evaluate x' at the point (-2,-6). x...

A: We have to find the value of x' at point (-2, -6) 

Q: 16 Evaluate x1² (x4 – 2x² + 1)²dx. - 81

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Q: 33. For what values of x does the graph of f(x) = x +2 sin x have a horizontal tangent? %3D

A: We need to find values for which the function have horizontal tangent.

Q: Calculate the improper integral if it converges, or show that it diverges. 1 dx -

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Q: (y? cos x - 3x2y - 2х) dx + (2y sin x - х3 + Iny) dy %3D 0, when x 3D 0, у %3D е

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Q: For the given vector function below, find the equation of the plane that contains the osculating cir...

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Q: Set up the definite integral that gives the area of the region. Yı = (x – 7)3 Y2 = x – 7 dx J6 y 1.5...

A: Given problem:- Set up the definite integral that gives the area of the region. Y1 = (x-7)³ Y2 = x -...

Q: 4dt 5t+ 2

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Q: Solve dy 2 3y dx 2.x ||

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take y a...

Q: Integration. Evaluate the following

A: Given that: 1. ∫x2x3+7x-5x+10dx2. ∫y2+6y-3dy

Q: dy (8y – a²y) + x – xy² = 0 dx

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Q: The set of complex number, write in roster method (at least 10 elements) and set builder notation

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Q: Implicitly derive all variables in terms of x. Equate the derivative in terms of y'. Simplification ...

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Q: u - 1 Find dy/dx, given y : and u =Vx + 2. u* + 1

A: We can find the derivative as below.

Q: Find an equation of the tangent line to y = 7 sin(x) at x =

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Q: 19) In Problems 19) through 21), given a piecewise function: |(1- tanx)cot x f(x) = 3/ k (x > 0) (x ...

A: Given that:                              

Q: Find the least common multiple (LCM). 45, 56, and 150 O A. 12,600 О В. 1,050 С. 1,260 O D. 2,520

A: We can find the LCM as below.

Q: Identify the quadric surface each of the following equations represent and sketch its graph in a dra...

A: The objective is to Identify the quadric surface and sketch it's graph.

Q: Of all the points on the graph of z = 10 - x^2 - y^2 that lie above the plane x + 2y + 3z = 0, what ...

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Q: (a) Find the point of intersection of the tangent lines to the curve r(e) = (5 sin(at), 6 sin(æt), 4...

A: Given:   r(t) = ⟨ 5 sinπt , 6 sinπt , 4 cosπt ⟩    When t = 0 and t = 0.5

Q: For the given parametric equations, find the points (x, y) corresponding to the parameter valuest = ...

A: Given that: x=4t2+4t, y=5t+1

Q: What are the critical numbers of the function? f(t)=8(t^2/3)+t^5/3

A: We have to find critical numbers.  

Q: Critique the validity of the expression d2y dy dx2 dx A) It is not valid, because the notation d?y d...

A: The objective is to critique the validity of the expression. 

Q: A silver dollar is dropped from the top of a building that is 1317 feet tall. Use the position funct...

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Q: x-7x3+101 g(x) = ズー1

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Q: Find the limit. x* – 1 - lim x→0+ In (x) +x – 1 п lim ( 1+ n

A: These question is based on Limits.

Q: 10) Find lim [ g (x-2) / f(x) ] = _ A) 3/ 7 B) 1 C) 7 D) 7/ 3 lim g(8x-f(x+2)) = X 1 11) Find A) 1 B...

A: We have to find the value of the limit                                  limx→3g(x-2)/f(x)       and ...

Q: In | lim x |

A: We can solve the limit as below 

Q: Without solving for the solution, what would be the correct form of the solution of the DE when usin...

A: We have to find correct form of the solution and we have find complementry solution in ans 2

Q: LU Factorization Method Example 2 Use Cholesky's LU factorization method to solve the system 16х, — ...

A: Given: Matrix is given

Q: /1+x-1 lim 1-0 V4 - a - v4- x2

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Q: Find the equation of the tangent and normal line to the following curves at an indicated points:

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: -dx x´ +2x+3

A: The given integral,       ∫xx2+2x+3dx

Q: floor refinishing company charges $1.87 per square foot to strip and refinish a tile floor for up to...

A: (a) To find: The equation for the amount C they will charge to refinish a floor when x≤210 Given inf...

Q: Fill in the blanks with an appropriate word, phrase, or symbol(s). The set of numbers {0, 1, 2, 3, 4...

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Q: 9. S ze4z²dz 422

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Q: In Exercises 27-30, form a function z = f(x, y) such that fx and fy match those given. 27. fx = sin ...

A: We know,  f(x,y)= ∫fxdx=∫fydy

Q: Evaluate the double integral // (3r - 7y)dA, where D is the domain bounded inside the tangle with ve...

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Q: Sv-4 - y-3) dy

A: