Find an nth degree polynomial function with real coefficients satisfying the given conditions n=3 3 and 5i are zeros f(1)=-156 f(x)=

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A: The five-number summary is the minimum, first quartile, median, third quartile, and maximum

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A: We have given the function g(x) and the vertical asymptote at x=3.

Q: Consider the function f(x)=x3−5x on the closed interval [−3,1]. Find the exact value of the slope…

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Q: Evaluate the definite integral 5 2 X dx

A: Given query is to find the integral.

Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 7x2; R(x) = x³ + 11x…

A: We can answer all the three questions in the below steps by finding the marginal cost, marginal…

Q: Consider the function f(x) = x³ - x¹ + ?x³ + ¾x + 20 (a) Find where the function is concave up. + ¾.

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Q: the-hx е Lox.

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Q: Evaluate the integral. S dx √25x². =, XX X> 25x - 49 75

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute  take…

Q: point The graph of the function f(x) = 3-5 can be obtained from the graph of g(x) = 3 by one of the…

A: Domain:- The set of all those input variable such that the function at those values exists.Range:-…

Q: 2. A fertilizer producer finds that it can sell its product at a price of p = 300 - 0.1x dollars per…

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Q: P(t)= 20+13t-t^2, where t is time in hours and t=0 corresponds to 9 am. (A) use the four step…

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Q: Evaluate the expression without using a calculator. In e 6 In e 6 =

A: Here we have to find out the value of  ln (e)^6

Q: Find the first and second derivates of the functions. h(t) = t^4 - 7t^3 + 5t^2 - 8t - 14…

A: Find the first and second derivative of the function

Q: F(g) = √ 39 29 2-g if g≤0, tang if 970,

A: Given data, The function is continuous at g= 0. Determine if it is differentiable at g = 0.…

Q: Question Determine the absolute error when using the trapezoidal rule to find ²(2x³+4x) dx using 4…

A: Given   ∫022x3+4xdx

Q: Use the Bisection Method to approximate, accurate to two decimal places, the value of the root of…

A: Use the Bisection Method to approximate, accurate to two decimal places, the value of the root of…

Q: Use reference angles to evaluate sec Enter the exact answers. For the number π, either choose from…

A: Important point to remember: All even multiples of π are equal to 0 or 2π. All odd multiples of π…

Q: A car was valued at $44,000 in the year 1992. The value depreciated to $14,000 by the year 2004. Use…

A: Given data, Principal P=$44000 Amount A=$14000 Time t=2004-1992=12 years

Q: At the beginning of an experiment, a scientist has 248 grams of radioactive goo. After 210 minutes,…

A: given that at the beginning of an experiment a scientist has 248 grams of radioactive  so initial…

Q: Use basic identities to simplify cos³x + sin² x cosx. Enclose arguments of functions in parentheses.…

A: The expression is given by cos3x+sin2xcosx To determine: The simplified expression of the given…

Q: For the function f(x) = -3 sin(x two periods. Enter the exact answers. For the number 7, either…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Solve the equation using the quadratic formula   6x squared + 10x +2 = 0

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Let's solve given diffential equation by using Laplace transform.

Q: Find the equation of the tangent plane to the surface: x² + y²-z² = -z, at (1, 1, 2)

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Q: Differentiate the following function. 3 y=xaex dy CX

A: We know, d/dx(xn)=nx(n-1), for any real number n  And d/dx(ex)=ex

Q: Find the indefinite integral. (Use C for the constant of integration.) (-8x7) dx |

A: Let A=∫e^-X^8(-8X^7)dX        →  ∫X^n=X^(n+1)n+1

Q: Given the function f(x) = 6x² - 3x + 1. Calculate the following values: f(-2) = f(-1) = f(0) = -…

A: The function is given by fx = 6x2-3x+1       To evaluate: The values of f-2, f-1, f0, f1, and f2

Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t,…

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Q: Find the gradient of the function at the given point. Function Point (3, 3) f(x, y) Vf(3, 3) = = x +…

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Q: Given function f(x) below defined as: 2 f(x): 1 f(x)=2/x k Find the value of k such that the shaded…

A: Given Function: fx=2x Area under a curve – region bounded by the given function, vertical lines, and…

Q: Solve the quation x cubed - 13x squared + 47x - 35=0 given that 1 is a zero of f(x)=x cubed - 13…

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Q: Find the area of the shaded region bounded by the two axes and the curve y = 2 sin(x) + 1. f(x) 2…

A: The bounding curves of the region are: C1: y = 2sinx+1C2: y = 0C3: x = 0 The sketch of the region is…

Q: Find an equation of the tangent line to the curve at the given point. y =   1 + sin(x) cos(x),…

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Q: Evaluate f 1 x-2x³/4-8√√T da by substitution of a = u and then partial fractions.

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Q: a set of parametric equations for the tangent line to the curve of intersection of the surfaces at…

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Q: x² + 1 x³ + 2 has Select an answer ✪

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Evaluate the following expression without using a calculator. log 99

A: The given expressions, i) log99ii) log749 We have to find the value of the expression without using…

Q: Given that f(x) (a) (f + g)(3)= (b) (f - g)(3)= (c) (fg)(3)= (d) (-) (3)-[ = x² - 7x and g(x) = x +…

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Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2). (Enter your…

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Q: From 1930 to 1990, approximately what was the average increase per year in per capita income? A $150…

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Topic = Differential Equation

Q: Air Purification During testing of a certain brand of air purifier, the amount of smoke remaining…

A: Recall Power rule dxndx=nxn-1

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A: We know Area of square =side2Perimeter of square=4side Let side of square = x mLet Area of square =…

Q: Coshz= ête 2 Evakate Cos(+21)

A: As we know that,cos(x+y)=cosxcosy-sinxsiny.and sin(ix)=isinhxand…

Q: Find the arc length of f(x)=ln|x| over [1,3]. Round answer to two decimal places

A: We will find the required arc length.

Q: 1 L'e ex dx. Let consider a) Apply the composite midpoint rule with m = 4. Compute error by…

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Q: Calculate all four second-order partial derivatives of f(x, y) = 5x²y + 5xy³. fxx (x, y) = fry (x,…

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Q: 5. Let f(x,y)= 2x+y x-2y a) Find the exact value of the f(-2,1). Simplify your result to lowest…

A: We need to find out the values of the partial derivatives at the points given.

Q: 2ydx + (x x³y³) dy = 0

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Q: The radius of a cylinder is decreasing at a constant rate of 9 feet per second. The volume remains a…

A: Topic - Application of derivatives Let volume of cyclinder at any time t=VLet radius of a cylinder…