Find all the zeros of the function f(x) = x² + 81

Q: For the following polynomial function f(x) = 3x6 + 2x³ + 6x-8, find the lower bound within which all…

A: To find the lower bound within which all of the real zeroes of the polynomial function must lie, we…

Q: Use spherical coordinates. Find the volume of the part of the ball p sa that lies between the cones…

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Q: Given the function h(x)= x(x-4), find the following characteristics of its

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Q: [3-R]

A: Given: An invertible function:h(x)=2x+5x-1 We are required to: Find the inverse of h(x)

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Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: Subject: Pre-calculation  Specific Topic: Functions and their Graphs Hello :) The questions are in…

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Q: y-values 6 8 7 6 t 3 2 1 If f(x) = g(x) h(x)' then g(x) 2 3 x-values A Out y-values 5- 3 2 1 h(x) f…

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Q: Find the area of the indicated part of the surface (above the region D). -2 D (2,-2, 0) 2 XY -2 z =…

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Q: Find the tangent plane to the equation z = 4x² + y² - 2y at the point (2,-4,40) 2= Calculator Check…

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Q: Express the integral as a limit of right endpoint Riemann sums. Do not evaluate the limit. 3 [²√ 0…

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Q: nas daily marginal revenue function a R'(x) = -0.004x + 6 there x denotes the number of units…

A: R'x=-0.004x+6   Integrate both the sideRx=∫ -0.004x+6 dx                             =-0.004x22+6x+C…

Q: Question Given (y²-y) y' = tan x cos x and y (2) = 0, what is y? Select the correct answer below:…

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Q: Which statement best describes creating a hyperbola? A. A place slices a double-napped cone…

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Q: Set up the formula to find the balance after 8 years for a total of $12,000 invested at an annual…

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Q: Is the line through (-3, 2, 0) and (1, 1, 1) perpendicular to the line through (2, 3, 4) and (5, -1,…

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Q: Evaluate the integral by interpreting it in terms of areas. 10 ~ |x - 5| dx

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Q: Let R be the region bounded by the curves y = sin(x) and y cos(x) in the region ≤ x ≤ -. What is the…

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Q: Two objects are moving along a straight line. DRITANIA The displacement (in cm) of each object at…

A: The displacement of object A is given as sA( t ) = t3 - 7t2 + mt + 10 The displacement of object B…

Q: Consider f(x) = arctan(x²). Find the absolute maximum and minimum of f(x) on the interval [—7, 1].…

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Q: Let f be defined in [-2,4] by, 4 f(x) = 1/2 x ¹ 2x³ -x² + 9x 2 Find the maximum and minimum points.…

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Q: (MAB + MBA) 15 (MCD + MDC) 10 2MAB + 2MBA + 3MCD + 3MDC 8=0 - 240

A: We need to simplify the given equation and obtain the equation given in second line.

Q: Find the general solution for the differential equation. dy 4x dx ey || The general solution is y

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Q: 1. The cost of producing x units of stuffed alligator toys is C(x)=0.003x2+6x+7000. Find the…

A: 1. The cost of producing x units of stuffed alligator toys is C(x)=0.003x2+6x+7000. Find the…

Q: Use the graph shown below and identify points from A through I that satisfy the given conditions. D…

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Q: Let f [-100, 100] → R be the function defined by x + 2 √x² +1 Show that f has a maximum value and a…

A: Given: The function is fx=x+2x2+1. To find: The function fx=x+2x2+1 has a maximum and a minimum…

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

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Q: Let f be the function defined above. (a) Find the average rate of change of f on the interval -3 < x…

A: To find out the average rate of change of f on the given interval.

Q: 6)What is the nominal annual rate of interest compounded monthly at which $778.00 will accumulate to…

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Q: Find the angle in degrees, rounded to one decimal. 4 5 0

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Q: List the first five terms of the sequence. an = n³ _ g a1 22 Tamanna =

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Q: On which interval is the function continuous? f (x) = e=²1

A: Function f(x) is continuous on interval [a,b] if it is continuous at every point

Q: Find the particular solution for the differential equation = at y = 2 and x = 0. dy 5x² dx 9y The…

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Q: Given the function h(x)= x(x-4)³, find the following characteristics of its graph. Critical point(s)

A: For a given function h( x ) find critical points by h'( x ) = 0  Given h( x ) = x( x - 4 )3

Q: Please solve question 6

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Q: There is a line through the origin that divides the region bounded by the parabola y=5x−6x^2 and the…

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Q: Use the Right hand Reimann Integration technique to evaluate [² (x² - 4x) dx

A: ∫12x2-4xdx

Q: 1. Find the family of antiderivatives of the following functions. (a) x² + 3x -S CbDe - (+ain (8)…

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Q: Convert the point (x, y, z) = (-5, 2, 2) to spherical coordinates. Give answers as positive values,…

A: The given point x, y, z=-5, 2, 2. We have to convert this point into spherical coordinates.

Q: Given L {f(t)} = 53 +1 t Find L. { { + serxt }

A: Given Lft=1s3+1 To find L∫0t?f? d? .

Q: A homeowner wants to build a fence to enclose a 320 square yard rectangular area in his backyard.…

A: x=length of the rectangle y=width of the rectangle

Q: Evaluate f -dx 3 x²+3x¹ x² 1

A: Integral

Q: t=3.68125151+11n,7.31874848+11n find the solutions between t=0 and t=11

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Q: For the following polynomial function f(x)= x³ - 3x² - 2x + 2, find the lower bound within which all…

A: We have to find the lower bound of the interval in which the roots of the polynomial lie.

Q: Find the value of integral (2²+² +2²) ds, where C' is parmeterized by F(t) = (5 cos(5t), 5 sin(5t),…

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Q: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 4 ft across at…

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Q: Raggs, Ltd, determines that its MC, in $'s per dress, is given by C' (x) =- 2/25x +50 for X ≤ 450.…

A: Given marginal cost function C'( x ) = -225x + 50 Total cost from 0 to a is given as C( x ) = ∫0aC'(…

Q: We are given the following power series and must determine the radius of convergence, R.

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Q: I 2) Assuming that f(x) is continuous at x=6 and lim x→−6 the value of f(-6). Show your steps…

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Q: S ㅋ K=l Veek

A: To determine whether the following sum diverges or converges. ∑k=1∞ 7k ek