do sed Form ( Formula) tor the eacn part, tind a nth 1- In partial Sum OF the series and determine weth er the IF so, キin d its sum . serie s onverges. a. 2: 3 3-4 .. 4.5 5.

Q: x dy + ५ ax X cost d x dy 6- -2 ५

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Q: Evaluate the integral: V1+ 7xd *Input answer as a decimal. Round-off to 2 decimal places.

A: Given query is to find the integration.

Q: Find the following definite integrals. sin a dr

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Q: Suppose that 10 grams of the 1 plutonium isotope Pu239 was released in the .Chernobyl nuclear…

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Q: Evaluate the integral: So (re ) dt Express your answer in decimal. Round off to 2 decimal places.

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: Construct YOUR OWN example of how to determine the derivative of a given function and the process…

A: Given

Q: [[(r + 2y) dA; R= {(r, y) : 0 s r s 3, 1 s ys 4}

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Q: '1– 3* dx 5x

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Q: 3. Solve the initial value problem of y(-1) = 0 dx x+3

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 2. Define f, g: R → Ras if x 3 %3D and g(x) = 8x – 1. Flnd f •g and gof.

A: (fog) (x) = f(g(x))                = f(8x-1) =(8x-1)^2  if x<-1                                =…

Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

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Q: Evaluate the integral: Si (1+ 3 dx x2 Express your answer in decimal. Round off to 2 decimal places.

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Q: dx 1 1+3x2 V3x 9. 6. Option 1 Option 2 2v37 V3x 3. Option 3 Option 4

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Q: Evaluate the limit 25 – b lim b→ 25 5 – vb -

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Q: ** Solve the following problem by setting up a linear system (remember to describe your variables)…

A: T=touchdown    6 pointsF=Field goals   3 pointsE= Extra points  1…

Q: 1) Find the value of C that make the function continuous at x-1? x 1 -

A: We have given piecewise function  Function is continuous at x=1 if  f1+=f1=f1- f(x) = C-x        if…

Q: 11. (e* sin y – 3x²)dx + ( e* cos y+ |dy = 0 12. (2x + 1+x?y? ) dx +( -29) dy = 4 - 29) dy = 0…

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Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

A: The given integral is ∫x(9-7x2)5 dx

Q: Let R be the region of the 1st quadrant enclosed by x=y^2 , x=2-y^2 ,y=0 . 1.1 Draw an area R.…

A: Given that;  x = y^2   and x = 2 - y^2       Let's find area between two curve in 1st quadrant.

Q: C. Solve as indicated. 2. Find the first 10 terms of a sequence in which the fourth term is 114 and…

A: Let us consider an A.P series with first term= a and common difference=d  Then the nth term =…

Q: 2X 3- dy + 2 (9e-x) dx = o e SinX dy + Cosx y tan x 4-

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Q: Зx2+2 dx 0 2x²+4x+3

A: Adjust the numerator to get the known integral form.I have add and subtract the same value to get…

Q: Find the velocity and acceleration vectors in terms of u, and ug- r=5 sint and 0= 5t = (5 cost) u, +…

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Q: 5. Determine the series converges, if so, Find its cum. whe ther K-1 a. k 1

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Q: Evaluate the integral: /3 arctan () da *Input answer as decimal round-off to 2 decimal places.

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Q: complete

A: We will solve the integration.

Q: de r= 4 e ao and = 3 dt

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Q: Find the following. 5) dx (13,5 + 5) dx = (Type an exact answer.)

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Q: [[ 12y dA; R is bounded by y = 2-r, y = VT, and y = 0.

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Q: Guten tho plane Pusith equatim ze +y -z= 3. and line Leaithuymmetrio oquatim p = 1 - y =g. determene…

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Q: 2. Determine if the following integral converges or diverges. If the integral converges, find its…

A: We need to check whether the given integral converged or diverges.

Q: Find the slope of the tangent line to the curve — 4г* + 4гу + 4у — 92 at the point ( – 1, 3).

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Q: 1 dx -1 1+ 3x²

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Q: sin(4z) 7. lim I-0

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Q: Use the chart below to find the average rate of change of the function f(x) over the interval given.…

A: Our Aim is to find the average rate of change of the function f(x) over the interval given.

Q: 37. A 10-m ladder rests against the wall of a house. The foor of the ladder on the ground is 1.3 m…

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Q: Suppose that f(1, y) = 2z² + 2y – zy Then the minimum is

A: We need to find minimum value.

Q: Evaluate the integral: 2T So cos² (0)d0 *Input answer as decimal round-off to 2 decimal places

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Q: Enumerate and explain the Four Second Partial Derivatives of the Partial Derivative of z with…

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Q: Q1): Find the point (x, y, z) that lines on the plane x +y + 2z = 4 that is nearest to the origin.

A: This question can be solved using the concept of distance of point from a plane in three dimensional…

Q: tan (6æ)sec (6æ)dæ Evaluate + C

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Q: dA; R= {(r,y): 0srs1,1 sys 4}.- %3D IR

A: Topic: Double integration over a region R

Q: 3. By hand, find all the solutions (if any) of the following linear system using the augmented…

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Q: . Find the area of the region bounded by the two curves y = x3 + 3x2 + 2x and y = 2x? +4x.

A: As per Bartleby guidelines rule I am answering only first question because the second question is…

Q: Find the centroid of the solid generated by revolving about the indicated axis the area bounded by…

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Q: y2+x2 5- y' %3D y(1) = -2 xy

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Q: lim, (e² – 1)cosx COSX

A: To evaluate the given limit.

Q: 27T 5. = y² and x + y = 2 is revolved about y = 1. (Answer: c. u.)

A: Solution is given below: