1. a.Determine the equation of the function that has zeros (roots) at 2, 2, 5 and the yint = -10. b. Sketch the graph of this function. -3, O

Q: Q6 (402onsider the polynomial f(x) = (x-a)³(x - b)²(x - c), for real numbers a, b, and c. Read each…

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A: Using mean value theorem f'c=fb-fab-a Where, a=1,b=2 f'x=3x2-1 f'c=3c2-1 f2=23-2-1=5 f1=13-1-2=-2

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Q: 7. The series Σ(-1)*+1 2(-1)** 1/2 k² k=1 (a) (c) Converges absolutely Diverges (b) Converges…

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Q: Solve for the general solution of the given DE: O y = (-6 + ce^(-x^2/4))^2 O y = (-6 +…

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. fixe- -3x² dx

A: integration

Q: 4. Sketch the graph of a function that is continuous and differentiable everywhere and also…

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Q: 1 -X h) limex-é е X-0 Sin 2X Using L'Hospital's Rule

A: let  I=limx→0ex-e-xsin2x      ∂ex∂x=ex      ∂sinx∂x=cosx

Q: 2 Let f(x) = √3x² + 3x + 2 f'(x) = ƒ'(1): = OF

A: Topic - Derivative of  a function We are given, f(x)=3x2+3x+2Formulas usedChain rule:…

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Q: Find lim f(x) and lim f(x) for the given function and value of c. X-C* X-C™ f(x) = (x+8) lim (x+8)…

A: The given function is:f(x)=x+8x+3x+3 ;         c=-3

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A: Given function f(x)=x3-6x2-15x+1

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A: Need to write down the critical points.

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A: Giv     fx=5x4+75x3+315x2+405x    One of its factors is x+9 Factor out common terms:…

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Q: 1) If the angle of elevation of the sun is 63.4° when a building casts a shadow of 37.5 feet, what…

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Q: Finding the intercepts, asymptotes, domain, and range from the... OF BOASADRO Shom all asymptotes…

A: Given query is to find characteristics of the function.

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Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: To find out the maximum revenue.

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Q: 7 Graph R(x)= x² -+4x-5 x²+x-2 (lis steps, :) list all steps

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Q: Write a polynomial with degree 4 that has a zero at x = 3i, and a zero at x = 5 with a multiplicity…

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Q: dy dx An equation of a curve is given by x lny + y = 1. Which one of the following is Select one…

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Q: Given: (q is number of items) Demand function: d(q) = 317.4 Supply function: s(q) = 0.4q² Find the…

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Q: A rectangular box is to have a square base and a volume of 160 ft3. If the material for the base…

A: A rectangular box is to have a square base and a volume of 160 ft3. If the material for the base…

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A: To find the range of the given function.

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Q: Find the y-coordinate of the y-intercept of the polynomial function defined below. f(x) = −2x(2x² +…

A: Given; We know that the y-intercept is an (x,y) point with x=0. So, we get that f(0) = 0.

Q: Find the relative maxima and relative minima, if a f(x)=x² - 6x

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Q: В С -10-2 -6 -2 1 5 13 2 69 3x + 2y = 4 >+ X

A: We have to find out

Q: QUESTION 10 Let W (s, t) = F(u(s, t), v(s, t)) where u(1,0)=-4,u,(1,0) = -7, u₂(1,0) = -4 v(1,0) =…

A: Here  ⇒wss,t=∂w∂u×∂u∂s+∂w∂v×∂v∂s ⇒wts,t=∂w∂u×∂u∂t+∂w∂v×∂v∂t

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

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Q: Which of the following is the area of the parallelogram formed by vectors  (0,−3,1)  and (1,4,−2) ?…

A: Which of the following is the area of the parallelogram formed by vectors  (0,−3,1)  and (1,4,−2) ?…

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 Σ1 4 + 1…

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Q: 1) If the angle of elevation of the sun is 63.4° when a building casts a shadow of 37.5 feet, what…

A: As we know that for right angle triangle we have tanθ=HeightBase The above problem can be view as

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Q: A triangular plot of land has one side along a straight road measuring 300 feet. A second side makes…

A: Let, AB be the road. The side AC makes an angle 53 ° and side BC makes42° angle with the road.

Q: Differentiate f(x) = 5(6x8-8x6) ¹0. You do not need to expand your answer. f'(x) = Factor out the…

A: ddxxn=nxn-1

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Q: Use the given graph to determine the value of the indicated limits. (a) lim f(x) x--3 (b) lim f(x)…

A: Given Graph:-

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