Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) ex dx (8+ e*)2

Q: Which of the following sequences are convergent sequences? Select all that apply. 7" O an n7 1 O an ...

A: sequences are given, we have to find the convergent sequence

Q: 15. You are given the following two planes: x+4y – 3z– 12 = 0 x+6y-2z-22 =0 f) Find a third equation...

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Q: B. Read and answer the problem carefully. 1. A spherical balloon is inflated with gas at the rate of...

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

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Q: 7(t) =

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Q: first

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Q: 5T is equivalent to 12 The expression csc 1- 2 sin? 12 1 Cos 6. - 1- cos 6. 5 2 cos? 6 - 2]

A: Topic = Trigonometry Correct option  csc5π12=21-cos5π6  

Q: За Evaluate the integral | la – a| dx, where a > 0 is a constant. You may use geometric interpretati...

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Q: Compared to the graph of y = 3 sin x, the graph of y = 3 sin(x + 1) – 2 is shifted %3D O 1 unit to t...

A: Given : To compare the graph of y=3 sin x and y=3 sin (x+1)-2 and to identify where it has been shif...

Q: Determine the equation of the circle with radius 3 and centre (3,−4)

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Q: Find an equation of the circle that has P (1, 4) and Q (–2, 7) as the endpoints of a diameter.

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Q: 6. By converting to spherical coordinates, evaluate 22 dz dx dy. 0.

A: triple integral

Q: 2. Let f(x, y) = In(x² + y²). Show that fre + fyy = 0. %3D

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Q: 4. (x + Vy? + 1)dx-(y y-: dy = 0 Vy2+1, %3D

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Q: Which of the following lines is an asymptote of the hyperbola (2- 1) (y+1)2 = 1? 4 9. O 2x +3y-1 = 0...

A: We will find the asymptotes of the hyperbola.Below find the solution in the image.

Q: Obtain the solution of the following differential equations. 4. y′ =x2+y2/xy

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

Q: Find a set B that is well-defined such that 10 ɛ B and 5 ɛ B. B = {x|x ɛl and x < 11}, I the set of ...

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Q: At every point of a certain curve, y′′ = 12x3 − 4x. Find the equation of the curve if it is normal t...

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Q: Write a full solution  Let consider the following function: f (x) = 2(x + 1)^2  −8.  A) Find f(−2)...

A: Solution is written in step2.

Q: 5. (D² – 4D + 4)y = 12x + 2e3*

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Q: Find an equation of a plane containing the three points (-5, 4, 3), (-6, 1, 6), (-6, 2, 8) in which ...

A: NOTE: Refresh your page if you can't see any equations. . here we have

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

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Q: Solve the differential equation with appropriate method. Finalize answer free o logarithms and radic...

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Q: 1. y" = x, IC:y(0) = 0, y'(0) = 1, y"(0) = 0. %3D

A: According to company's rules.. I need to solve first question when multiple questions are posted.. R...

Q: V ? x -dx 1-31nsec cot x

A: ∫ tanx × (1-6ln Sec x)1/2 dx  

Q: 4 7 7x+25 - Error Analysis. A classmate said that the sum of r²-9 and x+3 is -9 -

A: Given,            The sum of 4x2-9 and 7x+3 is 7x+25x2-9.To find : What mistake did your classmate m...

Q: 4) Show that the circumference of the unit circle is equal to 2 dz (an improper integral) 1-22 Evalu...

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Q: esin² 3y? dy csc 6y

A: The Value of the given integral is esin²3y²/6

Q: 2) The limit below represents the derivative of some function f(x) at some number a. limh→02(2+h)^6...

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Q: Integrate f 72x+3 527+3 а. +C In49 O b. In42 727+3 72a+3 +C О с. + C log49 72z+3 O d. In49 + C a.

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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: 8. The diameter of a circle is to be measured and its area computed. If the diameter can be measured...

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

Q: Note: to enter 0, type the word theta. (B) Which integral do you obtain after substituting for x and...

A: The given integral is: I=∫13-9x2 dx

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  ...

Q: Activity 4: Determine whether the left-hand side of the equation is equal to its right hand side. Wr...

A: 3) PANIS  

Q: Find the volume of the solid obtained when the region bounded by the line y = 2x, the line x = 3, an...

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Q: Find the derivative of the following functions using the limit definition. 1. y = x² – 4x – 5 -

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Q: 14. Choose the best answer. Find the value of the remaining side of the triangle t a = 11, b = 6, C ...

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Q: b. [3f(x) - 4g(x)]dx

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

Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin ...

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x^2+8 and g...

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Q: 5e*dx V9-12e3* +4e6x

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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: Find the value of a . lim,2 sin a(x-2) 3 2-2

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Q: III. Multiple Choice: Choose the correct answer and write the letter of your choice on the ANSWER SH...

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Q: d83 da83

A:   As per guidelines We"ll answer the first question if multiple questions are given.     Given d83dx...

Q: BB learn-us-east-1-prod.. Bb learn-us-east-1-prod... 14. Practice similar < Previous Suppose (5,0) i...

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Q: A. Determine if the following functions are continuous at x = c. (k) f(x): 22 – 4 ;c= 2 x - 2 (1) f(...

A: Note: As per our guidelines we are supposed to answer only the first 3 sub-parts if there are multip...

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: Obtain a family of solution 1. [x-y arctan(y/x)]dx + x arctan (y/x)dy = 0

A: Solution is given below: