Is partial fraction decomposition always possible? If YES, Explain If NO, Explain

Q: Rewrite the series to show that it is an alternating series of the form E1(-1)"b„. Then, use the…

A: The given series,          ∑n=1∞n cosnπ2n

Q: determine which statement is true {(x,y)|y=√9-4x2} (A) not a function (B) function; domain: [-3/2…

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: The terminal point is 2.15, -1.94

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: To find the volume of the solid that results when the shaded region is revolved about the indicated…

Q: What is the volume of the solid formed by revolving the region bounded by 6y =x2 and 6z ? %3D %3D…

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Q: che unit sphere does the following in

A: We have to choose the correct option from the given options according to the given information

Q: B: .A card is drawn from a well shuffled pack of (iv) a card of diamond (v) a king or a queen

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Q: A farmer wants to construct a fence around an area of 7776 square feet in a rectangular field and…

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Q: The radius of a sphere was measured and found to be 7 cm with a possible error in measurement of at…

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Q: 3. Find the volume of a solid of revolution generated by revolving the region under the line 2x +1…

A: Volume of solid = integration of πf(x)^2 dx from x1 to x2

Q: Express point P- 3,- into Cartesian coordinates with an aid of a suitable diagram.

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Q: The general solution of the D.E.  ( x + y)dx + (x-y)dy = 0.

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Q: sinx 14. What is y" if y=' 1- cosx -sinx -cosx A) у'— C) y'= (1 – cos.x) (1 – cos.x) sinx (1 –…

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Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

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Q: Switch the order of integration for the double integral below and evaluate it. On your paper, sketch…

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Q: From the graph below which statement is true?   (A) not a function (B) function; range: R (C)…

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Q: From the graph below which statement is true? (A) not a function (B) function; domain: R (C)…

A: To determine which of the given options is true for the given function

Q: Conics Find the equation of a parabola that has focus at (-4,0) and directrix x= 2

A: A detailed solution is given below

Q: Let f be a function defined by f(x) = In(2x2 + 1) and let g be a function defined by g(x) = 2x4 –…

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Q: 23-42 Find f. 23. f"(x) 20xr'-12x + 6x 24. f"(x) x - 4x +x + 1 25. f"(x) = 4 - 26. f"(x) x/3+x/3 27.…

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8ry 2y+1,…

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Q: Question 6 Use cylindrical shells to find the volume of the solid generated wher the region enclosed…

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Q: If Lpl=)dz = 7 and p(z)dz = 9.5 what does the following integral equal? p(z)dz = Question Help: D…

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Q: Šolve the optimization problem. Maximize P xyz with x + z = 9 and y + z = 9, and x, y, and z > 0.…

A: Note thate there are three variables and our goal is to express two of those as a function of…

Q: 1. / 2dx 3D 0 + С %3D С 2. Sx²dx = 2x + C %3D 3. S 5x*dx = x5 1 4. Sdx = + С 2(х2-5) x2-5 5. ſ tan x…

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Q: 1. Consider the curve C with parametric equations Sx(t) = t3 – 3t +1 lu(t) = t(t +1) defined for t e…

A: Given information:  xt = t3-3t+1yt = tt+1               , where t∈ℝ.…

Q: Question 3 How much work is required to pump all the water from a right circular cylindrical tank,…

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Q: 3 (-4V3,-2V3) :44. V=

A: Vector

Q: 19x + 50 The average cost for a company to produce x units of a product is given by the function…

A: We have to solve above question and find the change average cost

Q: When a mass of 3 kilograms is attached to a spring whose constant is 48 N/m, it comes to rest in the…

A: we have to find equation of motion .

Q: Find the area, A, of the region enclosed by the cardioid r = 8+ 8 cos 0. 96 л (B 52 A © 48 n (D) 100…

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Q: Given the equation x In(y) dz = z Arctan(3y). Assuming z as a function of variables x and y, find ar

A: To partially differentiate the function z with respect to x.

Q: 5. [4 log x + 1] dx

A: Student has specifically asked for the solution to the Question (5). Hence answer to that problem is…

Q: Determine a. (Give your answer as a whole or exact number.)

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Q: (a) 2. A bug begins to crawl up a vertical wire at time t=0. The velocity v of the bug at time t,…

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Q: Which of the following is the Taylor series expansion of the function (x) =ex? with center at 0. 00…

A: Taylor Series representation of e-x about x=0 is given by, e-x=∑n=0∞-1nxnn!....(i)

Q: 5. (5 + j2)5+j2

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Q: Find the vector

A: The vector r=<a,b> is written as, r(i)=ai+ bj

Q: Find a unit vector in the direction of the given vector

A: Follow the procedure given below.

Q: If f (x) >0 and f (x)< 0 for all x over a given part of the domain of a function f, then the graph…

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Q: Derivative of f(t) = 8^t[(2t+1)^2+t] using Chain Rule

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Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (i) '2' of…

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Q: 3. 2. 1 15. The graph of f is shown in the figure above. If , f(x)dx=2.3 and F'(x)= f(x), then F(3)-…

A: ∫13f(x)dx=2.3 and F'(x)=f(x)

Q: 8. 21

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Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A: favourable conidtion is  26C1*25C1 = 26*25 total condition is 52C151 C1 = 52*51 probability =…

Q: Evaluate || xydydx by reversing the order of integration. 1 Inx

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Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: To show whether the given statement is true or false .

Q: Which one of the following accurately describes the set {(r, 0, 2) |r = 5 } %3D in cylindrical…

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Q: Given the following velocity function of an object moving along a line, find the position function…

A: We know that if s(t) denote the position of any particle at a particular time then v(t) denotes it's…