Which formula is not equivalent to the other two? (−1)k- k-7 10 (2) Σ k = 8 -7 Ο (b) Σ k= -2 (1) k + 3 -5 (c) Σ k= -7 (-1)k k + 8

Q: factor the polynomial f(x)= x4-7x3+9x2+27x-54 given that 3 and -2 are zeros. then identify all real…

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Q: 1) An antiderivative of a function f (x) is a function F (x) such that F ′(x) = f (x). Find any…

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Q: Given f(x, y) = sin(x + y) where x = f(x(s, t), y(s, t)) = f(x(s, t), y(s, t)) = Question Help:…

A: we need to find out the partial derivatives.

Q: Use the definition of continuity to determine if each function is continuous or discontinuous at…

A: Given function:- fx=x-2x≤-1-xx>-1 Condition to continuity at x=alimx→a-fx=limx→a+fx=fa

Q: a. Find an equation of the tangent line at x = a. b. Use a graphing utility to graph the curve and…

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Q: the rest are hot dogs. What is the ratio of the number of hot dogs to the number of hamburgers? Y…

A: Given query is to find the Indicated ratio.

Q: Let f(x, y) = x² + 2y¹ + 40xy. List the critical points: The critical point at the origin is a…

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Q: Let z(x, y) = Calculate дz მs дz Ət дz მs & 8x2 - 4y2 where X = 9s + 3t a y= ?х ду дх д' ' д дz Ət…

A: To find the partial derivatives

Q: A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $10 the…

A: Given query is to find the ticket price for maximum revenue.

Q: nd a in terms of u when : U= Vln(z) +2, u = ln(3 +1), u = arctan(e® +1)

A: Given query is to find x in terms of u.

Q: Concept check: Evaluate the following integrals: ¹.ſ- dx (6-x²)z NIVE

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Q: Let U = {a,b,c,d,e,f, 12, 13, 14, 15, 16, 17), X = {a,b,c,13,14,15), and Y = {b,d,f, 12,14,16}. List…

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Q: 1. Test the series for convergent or divergent. 8 √k 2k + 3 Σ(-1)*, k=1

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Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each…

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Q: Find a value of the constant k, if possible, at which is continuous everywhere. k= (enter "none" if…

A: Find the value of k, if possible, at which  f(x)= 16-x2, x≤-4 kx2 , x>-4  is continuous…

Q: f(x, y) = 2cos(2x-9y) and g(x, y) = -9cos(2x-9y). af ду og dx The partial derivatives and are equal.…

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Q: Question Evaluate the sum of the series answer. n+1 10²n-1 Enter an exact

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Q: Suppose f(x) is continuous on [4, 6] and −4 ≤ f'(x) ≤ 3 for all x in (4, 6). Use the Mean Value…

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Q: F(x) = F'(x)= = 2x 1,²² t² t² + 1 dt

A: Given query is to find the derivative.

Q: For the given cost function C(x) = 52900 + 300x + x² find: a) The cost at the production level 1000…

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Q: A fence 7 feet tall runs parallel to a tall building at a distance of 2 feet from the building.…

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Q: Find the two values of k for which y(x) = ekx is a solution of the differential equation y'' - 8y' +…

A: d dx(ex)=exy(x)=ekx

Q: Find the Taylor polynomials p3 and p4 centered at a=0 for f(x) = (1+x) 5. 2 P3(x)= 1-5x+15x-35x…

A: 1.a)

Q: • f (8. +12) de dx + • / ( 1 + ₁² + 0² - 2²/1) dx [sin(3x)dx

A: (1).The given integral is:∫8-x5+4x dx

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Q: (a) Evaluate the following integrals: (i) x²edx (4) J dx (l) J e* sinh (-)dx

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Q: Find the surface area of the part of the plane 3x + 5y-z = 1 that lies above the box 5 ≤ x ≤7, 1≤ y…

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Q: A ball is thrown into the air and its position is given by h(t) 7t² +65t+19 where h is the height of…

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Q: A box with a square base and open top must have a volume of 131072 cm³. We wish to find the…

A: NOTE: Refresh your page if you can't see any equations. . x= side length of the square base so we…

Q: write the cubic polynomial function f(x) in expanded form with zeros -4, -3, and 2 given that f(1)=…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $577 each for 81…

A: Given query is to find the maximum revenue.

Q: y (x+5)(x + 1)

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Q: If 1000 square centimeters of material is available to make a box with a square base and an open…

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Q: If f(x) = (7 sin x + 8 cos x)tan -1 x, find f'(x). Hint: Use the product rule! Question Help:…

A: Given; f(x)=(7sinx+8cosx)tan-1x.

Q: Let 5xyz = e². дz Use partial derivatives to calculate - and ?х дz ду and enter your answers as…

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Q: 8. Find an equation of the line tangent to fix=>x=-3x, at the point (2, 2)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $8 the…

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Q: Divide the polynomial using long division (²-4)= (x + 4). √2+ ✓ + √√(2 √(x + 4)

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Q: 2 Find the exact arc length of the curve y = x over the interval, x = 1 to x = 64

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Q: -4 3 ƒ'(2) -1 = 5 4 3 2 1 Use the graph of f(x) above to estimate the value of f'(2). Hint: You may…

A: If we draw a tangent at point x=2 , then we get line which is passing through the points (4,0) and…

Q: If f(w) ) = cos¯¹(7w¹), find ƒ'(w). Use exact values and don't forget the chain rule. f'(w) =…

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Q: Convert the point (x, y, z) = ( – 5, 5, — 5) to cylindrical coordinates. Give answers either as…

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Q: For the function f(x, y) = (5,-2) that has a positive 2e²* sin(y), find a unit tangent vector to the…

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Q: Find the total mass of the solid region W defined by x ≥ 0, y ≥ 0, x² + y² ≤ 4, x ≤ z ≤ 29 - x (in…

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Q: If the following series converges, compute its sum. Otherwise, enter oo if it diverges to infinity,…

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Q: For the sequence an = — 1)" 20 n²

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Q: (a) Find the arc length function for the curve y = In(sin(x)), 0 < x < , with starting point s(x)= =…

A: Given that y=lnsinx  ,0&lt;x&lt;π   starting point is π2,0To find :Arc lengthSolution :Arc length…

Q: If Σ ak = 9 and Σ bk = 36, find the following values. k=1 k=1 n bk 36' n Στakı Σ Στακι n n n - Σ…

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