Find the sum of the infinite geometric sequence. n 4 i=1 5n-1 Σ If the answer is not an integer, enter it as a fraction in simplest form. Sum =

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A: We know that the area of the region is Area= int_a^b | f(y)-g(y)| dy

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: The given integral is (2x3-12x2-79x+11)/(x2-6x-40).

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Q: The base of a three-dimensional figure is bound by the line x = y + 2 on the interval [1, 9].…

A: The volume of a three-dimensional figure can be found by integrating the area of the cross-sections.…

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A: Prove that : sinx tan(x/2) + 2cosx = 2cos2(x/2).

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Q: x y + Write an iterated triple integral in the order dx dy dz for the volume of the tetrahedron cut…

A: To write an iterated triple integral in the order dx dy dz for the volume of the tetrahedron cut…

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: a. SET-UP only the definite integral using disk/washer method that will give the volume of the solid…

A: To set-up only the definite integral by using disc/washer method that will give the volume of the…

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Q: Pls write on paper thank you, much appreciated : )

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Q: By observation, are any of the members of the truss shown zero-force members?

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Q: Write an iterated integral for a. vertical cross-sections, b. horizontal cross-sections. OA. S S dy…

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Q: Question 2 Solve cot 8- sin 8 1+cos ( = √2 for 0 ≤ 0 ≤ 2π.

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Q: 3. Differentiate sin a 1+cos z with respect to x and hence, find S -dx 1+cos a

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Q: On the grid below, a) label the axes: x, y, and z b) plot the point P(0,4,0) c) draw the vector OR =…

A: Here we show that in three dimensions given point and vector.

Q: Find lim (x,y) →(1,0) x - 4y #1 /x-4y - 1 x-4y-1 √x-4y - 1 x-4y-1 7-0 lim (x,y) →(1,0) x - 4y #1…

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Q: 2 Find the derivative of the function. f(x) = (2x³ - 5x² + 4)³ f(x) = √√√5x + 1 g(t) ƒ(0) = = 1 (2t…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)= 6 Select the…

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Q: Express the area of the region bounded by the given lines as an iterated double integral. The…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 [25 + 1 (1 − z)6 dz

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Q: When we draw the free-body diagram of a joint, how many independent equation of equilibrium can we…

A: When drawing the free-body diagram of a joint, we can apply equilibrium to determine the forces…

Q: 51. lim x→1 2. / 1 53. lim x-0+ X 1 55. lim - X 1 x→0+ X X - 57. lim x√x x-0+ 63. lim x¹/x x18 - 1 1…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Find the limit. lim (x,y) →(18,18) x+y #36 O A. 6 O B. 12 x + y - 36 x+y - 6 OC. 0 OD. There is no…

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Q: 3. Evaluate fxd4, where D is the region bounded above by the line y = x and below by the circle D x²…

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Q: Question 1 Let 0 = cos¯¹(-³) where 0 ≤ ≤. Find the exact value of 0.

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Q: When we draw the free-body diagram of a section of a truss, how many independent equation of…

A: To find : The number of independent equation of equilibrium for a free body diagram of a section of…

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Q: Analyze and Construct the graphs of the following functions: For each of them determine: The…

A: Given is the function and we have to table the values, plot it anddetermine domain and codomain.

Q: dw 3 Evaluate at t= for the function dt 2" xy w(x,y,z)= x= sint, y=cost, z=t². Z O A. O B. O C. O D.…

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Q: For what values of x does the series converge conditionally? (x - 2)n √n n=1

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Q: x sin x lim x-0 1- cos x

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Q: Define f(0,0) in a way that extends f to be continuous at the orig 15x²-x²y² +15y² 2 x² + y² f(x,y)…

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