5s - 7 (s + 3) (s² + 2)

Q: Match each equation with its graph. (Do not use technology.) -2 (a) y = x² " ООО g h (b) y = x³ Oh…

A: Topic - Functions

Q: The graph of y = f(x) is shown. 10 == -2 has solution 9 8 10-9-8-7 -6 -5 -4 -3 -2 -1 + 6 5 4 3 2 1…

A: A detailed solution is given below.

Q: Find the arc length of the curve below on the given interval. 1 y = = = (x²+2) 3/² on [3,9] The…

A: Given :y=13x2+232

Q: Use the definition of continuity and the properties of limits to show that the function is…

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Q: Use continuity to evaluate the limit. lim 4 sin(x + sin(x)) X→T

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Q: A conical water tower with vertex down has a radius of 14 ft at the top and is 26 ft high. If water…

A: Given :   A conical water tower with vertex down has a radius of 14 ft at the top and is 26 ft high

Q: The pressure P of a sample of oxygen gas that is compressed at a constant temperature is related to…

A:

Q: Consider the following vector: -E1₁ 2 2 Which vector has length 2 and the same direction as u? 200…

A: given  u=-122

Q: Given the vectors v and u​, v = 11i + 2j − 10k and u = 5i + 12j. Find the dot product of v and u.…

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Q: √√√x-7 x³ - 7 O Q(x) is a polynomial, so it is continuous at every number in its domain. O Q(x) is a…

A: Introduction A function f is said to be a continuous function if it is continuous at every point of…

Q: Q.4 Find the series formulas of the Maclaurin polynomials for the following function: f(x)=√1+x.…

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Q: 7. (D³ — 2D² − 5D + 6)y = 0; y = 1, Dy = −7, D²y = 1 when x = 0

A: The given equation is;  (D3-2D2-5D+6)y=0, y=1, Dy=-7, D2y=1 when x=0.

Q: Find a nonzero vector parallel to the line of intersection of the two planes 3x + 5z = -4 and…

A: If n1 is the normal vector to the plane r and n2 is the normal vector to the plane s  ,then  the…

Q: Finding an Inverse Function Algebraically In Exercises 71-80, find the inverse function of f…

A: The given function, 72. fx=3x We have to find its inverse function and sketch its graph. Note:…

Q: each

A: We have to find its value according to the given information.

Q: 3.4x +417x²

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Q: lugins 2. Suppose a wire is placed along the x-axis, and its temperature (in °C) at the point is…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: Given that f(x) = 9x − 1 and g(x) = 8 - x², calculate (a) f(g(0))= (b) g(f(0))=

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Q: Observe the ripples. When the rate of the area of the circle is constant, how is it related to the…

A: We need to choose correct option.

Q: b. f(x) = x²+x-1 x-1

A: Given :fx=x2+x-1x-1

Q: Find the values of a and b that make f continuous everywhere. x² - 4 X-2 f(x) = = ax² - bx + 1 4x =…

A: if f( x ) is continuopus at x = a then limx→a-f( x ) = limx→af( x ) = limx→a+f( x )

Q: A closed rectangular container with a square base is to have a volume of 2304 in³. The material for…

A: The following formulas of derivatives has been used to solve this…

Q: A culture of bacteria in a particular dish has an initial population of 200 cells grows at a rate of…

A: a It is given that, The growth rate of bacteria in a particular dish is: N't=60e0·27465t cells/day.…

Q: 4: (1 zero? s) In what directions is the derivative of f(x,y) = (x-y)/(x² + y²) at P(1, 1) equal to

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Q: Select the correct graph of the derivative of the function f (x) given below. T -2 y 2 2 +4 x

A: Given: Graph of f(x):

Q: Fill in the matrix in the equation below to find the line that passes through points (-2,-3) and…

A: given points is  (-2,-3)  and  (2,9)matrix form is detxy1x1y11x2y21=0

Q: lim (4 - |x|) / (4+x) x—> -4

A:

Q: For the following differential equation determine the most general function M(x, y) or N(x, y) so…

A: Given :yexycosy-3dx+Nx,ydy=0

Q: 1. Write out the following sur ὦ (3) IM (b) αξ

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

Q: Given the Lorenz curve L = x2.59 find the gini index.

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Q: Given that y is a differentiable function of the variable x, find y' if 2x²y² - 3y³ = 1.

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Q: Let f be a twice-differentiable function with domain R. 3 [²³ f We also have the following table: We…

A: I = ∫13 f''(x) x2dx I =[(x2)∫f''(x)dx]13 - ∫13{ ddx(x2)∫f''(x)dx}dxI =[(x2)f'(x)]13 - ∫132x…

Q: Solve the Initial Value Problem. π y' = tan (y), y(In (7)) = (Express numbers in exact form. Use…

A: We have given differential equation  y'=tany dydx=tany 1tany dy=dx     Integrating both sides…

Q: Let lim f(x) = 23 and lim g(x) = 8. Use the limit rules to find the following limit. X-3 X-3 lim…

A: We have to find the limit.

Q: Consider a w-N weight suspended by two wires as shown in the accompanying figure. If the magnitude…

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Q: Compute the derivative of the vector-valued function. r(t) = teti + tln(t)j + sin(6t)k (e¹(t+1),1…

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Q: The Mexican subsidiary of ThermoMaster manufactures an outdoor thermometer. Management estimates…

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Q: The cost function for manufacturing electric drills is estimated to be: C(x): 4x². = - 6x + 784.…

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Q: Consider the following vector function. r(t): (6√2t, e6t, e-6t) (a) Find the unit tangent and unit…

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Q: Determine the graph of the equation x2+y2−z2=100.  Choose the correct graph of the equation.

A: We need to determine the graph of the equation given by : x2+y2-z2=100

Q: Given that  lim x→2 f(x) = 1    lim x→2 g(x) = −4    lim x→2 h(x) = 0, find the limits, if they…

A: According to bartleby guidelines we are supposed to do only three subparts. If you want to solve…

Q: Find the general solution for the following differential equation. d. y’=6(y-2.5)tanh 1.5x

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Q: an of a that joins a vertex to the midpoint of the opposite side.) 22. Find an equation of a sphere…

A: The objective is to solve the above question.

Q: Consider the following four functions. Without actually finding a formula for the derivative,…

A: Function is not differentiable where f'( x ) is not defined ( a ) f( x ) = 3x9 - x2

Q: Group the following numbers according to congruence mod 13. That is, put two numbers in the same…

A: Given set of numbers, {−63, -54, -41, 11, 13, 76, 80, 130, 132, 137} To be found : Group the numbers…

Q: Using laws of logarithms, write the given expressions using sums and/or differences of logarithmic…

A: Formula used logx + logy = log( xy ) logx - logy = log( xy ) logxy = ylogx

Q: 10+ 9 8 7 6 5 4 3- 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3- -4 -5 -6 -7 -8 -9 -10+ 1 2 3 4 5 6 7…

A: Graph of the function is given, we have to find the values of…

Q: 6. (D² + 1)y = 10e* sin x

A: see below the answer and explanation

Q: The volume of traffic for a collection of intersections is shown in the figure below. (A graphing…

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