Eliminate the arbitrary constants. Show your solution

Q: Determine whether the alternating series converges. 00 31n k E(- 1)* k k=3 O The series diverges. O ...

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Q: Σ k! k=1

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+l k ! (2...

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Q: Find the derivative of the function. f(x) = V3 - 6x2 %3D f'(x) = || %3D

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Q: f(x) = vx – 1 at x = 5 %3D

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Q: TIS IS 1. Create your own function f(x) of the form F (x) = f (x) · g (x). In other words, F(x) is a...

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Q: ∫sin8 (3?) cos5 (3?)??

A: Find the what later to come on the symbols

Q: Find the average rate of change of the function f(x) = 7x from x, =0 to x = 3. %3D The average rate ...

A: Use the slope formula to find the average rate of change -  m = y2-y1x2-x1, where x1,y1 and x2,y2 ar...

Q: A recipe for a berry smoothie, which sell for $3 each, uses 6 oz of berries and 2 oz of bananas. A r...

A: We need to maximize revenue.

Q: 0.08e* Determine p' (x) when p(x) =

A: Quotient Rule of differentiation : du.vdx =u.dvdx+dudx.v deaxdx =a.eax dxndx =n.xn-1

Q: Cosx 3. 3 cos r - 5 d.r, Use z = tanr |

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Q: Find the derivative of f(x) = Inx + 1].

A: f(x) = ln [x2x2+1]f'(x) = ddx[ ln [x2x2+1] ]f'(x)= 1 x2x2+1 ddx[x2x2+1]

Q: The masses m; are located at the points Pi. Find the center of mass of the system. 5, тз mị 7, т2 6....

A: Given that m1=7, m2=5 and m3=6Also, P1=(6,1), P2=-3,7 and P3=4,2Our Aim is to find the center of mas...

Q: (F+2)y+(F-12)x+2z 3. Draw the graph of the linear equation: = 4z + 7. %3D (K+2)

A: Solution is here

Q: An equilateral triangular plate with sides 10 m is submerged vertically in water so that the base is...

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Q: Match the graph of the function on the right with the graph of its derivative.

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Q: To evaluate the / sin-(x) + sin(x) cos2(x) -dx using basic formula of integration (without using sub...

A: We need to find values of f(x).

Q: IV. Maxima-Minima problems 1. Find two positive numbers whose product is 100 and whose sum is a mini...

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Q: (d) Find the coordinates of the inflection point. Hence state the intervals for which the curve is c...

A: A graph is given in the questionx-intercepts: -1,0, 1,0, 2,0y-intercept: (0,1)

Q: (c) Find the area of the region common to the interiors of the cardioids T = 1+'cos 0 and r = 1- cos...

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Q: Find the area of the surface generated by revolving the curve 1 V1 + eb", 5x 0 < x < 2 around the x-...

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Q: The force F has a magnitude of 500 Ib and acts along the line AM where M is the midpoint of the vert...

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Q: Is there a value of n that will make the following function continuous at x= 0? Give reasons for the...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Determine the coefficient of Cot(x) when we evaluate [[cot(x)- csc(x)]²dx_

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Q: AnSwer O Solution 42. Show that the unit vector ð = zi + vj is not parallel to i = yi – aj for any c...

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Q: (a) Find the 3rd degree polynomial whose graph is shown above. In other words, find the constants. (...

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: COla-sina COIa- da sin (2a)

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Q: *xlnsinx²dx To evaluate using Gen. Power Formula, we let u=Insinx? tanx? A True B) False

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Q: Determine whether the series converges using the limit comparison test. 3k2 – 2k + 7 Σ 12k6 + k – 12...

A: We have to prove that the above series converges or diverges.

Q: The rate of U.S. per capita sales of bottled water for the period 2007-2014 could be approximated by...

A: Given query is to find the total sale for the given time period.

Q: quantities

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Q: Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1, 4). Yo...

A: The velocity vectors v1(t)→ and v2(u)→ are determined from the given curves r1(t)→ and r2(u)→ by usi...

Q: The function k(x, y) = e cos(2x) has a critical point at (0,0). What is the value of D at this criti...

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: State whet her or not the series is geometric. If it is geometric and converges, find the sum of the...

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Q: Determine the coefficient of Cot(x) when we evaluate [cot(x) – csc(x)]²dx_ None of the given choices...

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Q: Let y' = - ty + 0.1y and y(0) = 1.5. Use Euler's method to find approximate values of the solution o...

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Q: 2+7 sin cos z zp-

A: Given: ∫2+7sin3zcos2zdz

Q: he perimeter of a rectangle is 28 feet. Let one side be x feet long. Show tha o value of x for which...

A: Given: - The perimeter of a rectangular is 28 feet. Let one side be x feet long. To show: - There is...

Q: 3. (a) The surface f(x, y, z) = 1+y - 2 = 0 and g(x, y, z) = x+2-4 0 mect in an ellipse E. Find the ...

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Q: t(dx/dt)=6te^(2t)+x(2t-1) solve using linear equation

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Q: Let f (x) and 8 (x) be antiderivative of h (x), The which of the following is true? A None of the gi...

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Q: convert the experimental glucose concentration from mM ( millimolar) to g/100 ml. need only step the...

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Q: otential function? Show by example how to find a for a conservative field. How can you tell when ve?

A: We have to define potential function and explain  how to find potential function for a conservative ...

Q: Let h(x) f(x) %3D where f(x) = x +1 and g(x) = x² + 3x- 2. What is h' (x)? 8(x)' Select the correct ...

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Q: 0.08e* Determine p' (x) when p(x) = Select the correct answer below: 0.08e* %3D (x),d O (12)(x^)-( 1...

A: topic - derivative of a function

Q: Verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal t...

A: Given that Curve y2-3x-9y+12=0 point -2,3Solution:put point on the curve  y2-3x-9y+12=0 32-3-2-9×3+1...

Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = x0, and then find the nth Taylor ...

A: We will find the Taylor series of the given function about x=ln(6)

Q: Q1. Solve the following dy (a). y² + xy³ + (5y² – xy + y³ sin y) = 0. %3| dx

A: Let's find.