Discuss the continuity of the function g(x) = 1/(x2 - 4) on the interval [-1, 2]

Q: f(x)=square root x+7, g(x)=square root x-5 Find the function fg and then determine the domain

A: Given fx=x+7, gx=x-5

Q: Provide an exact value for the following expression (do not use a decimal approximation): tan sin b…

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Q: If the cost function for a commodity is C(x) 13 90 -x³ + 4x² + 4x + 10 dollars find the marginal…

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Q: Solve the differential equation. dy + 5y dx = e -5x dx A) y = e5x (x + c) B) y = e-5x (x + c) (c) y…

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: 11.3 Q5&Q6 I need both questions ? percent correct answer Needed to be solved both as soon as…

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Q: The graph of f(x) is shown below. Which of the following statements are true? 8 7 60 5 4 3 2 1 M -8…

A: Ax x=6, limx→6-f(x)=limx→6+f(x)=f(6)

Q: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is…

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Q: Find the distance from the point (5, 1, 8) to the line à(t) = ( − 3, 4, 1)t + (1, 3, 6) .

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Q: Solve the following differential equations. dy 9. 10. 11. dx dy dx dy dx = x³ + 2x 31X == = 4 cos 6x…

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Q: In R TOHE R² 1 √√3 J₁ 1 dR arctan(1/x)dx

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Q: D(t)=-1560+49(t) After how many hours does the submarine reach the surface? Give your answer as a…

A: The objective of the question is determine the time take by submarine to reach to the surface.

Q: Evaluate the following integrals. [x³ |√₁. dx - x² x³tanh²(x4) sech² (x4) dx csch(In x) coth(In x) x…

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Q: A graphing calculator is recommended. (a) Show that the definition of the derivative applied to the…

A: The objective of the question is determine the derivative at "x=0" for the given function.

Q: Use the average of the average rates of change over the left and right intervals at the given points…

A: The average rate of change at a point is given by, Rf'(x)=f(x+1)-f(x)x+1-xLf'(x)=f(x)-f(x-1)x-(x-1)

Q: Find the curvature of the curve defined by r(t) = e²ti + 3tj 12e2t K= (lett +9) Evaluate the…

A: Find the curvature of the curve .

Q: Calculus The height of 700 boys are found to approximately follow such a distribution, with a mean…

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Q: 10. The 11 members of the badminton club line up for a picture. A) Determine the number of distinct…

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Q: Solve the differential equations. 3. dr dt + KT-100k,

A: To solve the differential equation

Q: Please

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Q: Let F(x) = f(g(x)), , where f(-7)=2, f'(-7) = 3, f'(3) = 10, g(3) = −7, and g'(3) = -9, find F'(3) =

A: Given, F(x)=f(g(x)),

Q: Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for…

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Q: 1. Prove using index notation. ABC REF = AB (c@f) E¹: R ":"product is defined as where := Pij Qiz…

A: Given ......  A~B~c~ · D~E~f~ = A~B~(c~⊗f~)E~T:D~                 Where,…

Q: S dx 2 (1+x²)²

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Q: The function is defined by Q(x) = 2x²-7x-4 x²-4x (a) Find the horizontal asymptote for the graph of…

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Q: 0 A can of soda is placed inside the refrigerator. The soda has an initial temperature of T = 70°F.…

A: I have appended the formula used in the solution part of the question

Q: ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 4. 2x lim x-2 x²-4

A: Note:- These are multiple questions and according to our company guideline we can do maximum 1…

Q: Crystal growth furnaces are used in research to determine how best to manufacture crystals used in…

A: Please see the below picture for detailed solution.

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function in this…

A: Let x be total number of items produced  Given marginal cost=$60

Q: ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 1. 2. 3. x²-25 lim 10 x²4x-5 x²-25 lim z+5 x² - 4x-5…

A: 1. Given limit  limx→0x2−25x2−4x−5 The graph of the function is given below : Here, we can see that…

Q: Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer…

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Q: The number of stolen bases per game in Major League Baseball can be approximated by the function…

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Q: Match each function name with its equation. I I ≈ f(x) = ✰ f(x) = ✨ ƒ(x) = x² ≈ ✨ 1 X ✨ f(x) = ³√x…

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Q: Find the marginal profit function if cost and revenue are P'(x) = given by C(x) = 258 +0.2x and R(x)…

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Q: 1. Evaluate if the limits exist of the following (show your table of values): A. lim Inx x-0 B. lim…

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Q: Linear Programming: Graphical Method Formulate the LP problem, which includes the objective function…

A: Given:  T=number of tables manufactoredC=number of chairs manufactored4hrs=Time taken to manufacture…

Q: Suppose that f(x) is continuous on the closed interval [a, e] such that a<b<c<d<e, and Sa f(x) dx =…

A: We have to find the integrals by using sum and difference rule of integration.

Q: None of these anwers were right

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Q: U = {x: x is first ten positive integers} A = (1, 2, 5, 6, 9, 10} B = (2, 4, 6, 8, 10} C=(3, 4, 7,…

A: Given: U=x: x is first ten positive integersA=1, 2, 5, 6, 9, 10B=2, 4, 6, 8, 10C=3, 4, 7, 8To Find:…

Q: For f(x) = 10/x and g(x) = 10/x, find the following function (fog)(2)

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Q: ng against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2…

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Q: Solve the problem. A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved.…

A: To find the differential Equations.

Q: Find the domain and range of the function. f(x) = 3+x² Identify the domain of f(x). (Type your…

A: Given, f(x)=3+x2 Aim: Find Domain and Range

Q: Find the equation of the tangent line to the curve y= -5/x+2 at x=1. (Use the limit definition of a…

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Q: The total cost (in dollars) of producing x food processors is C(x) = 2100 + 50x -0.1x². (A) Find the…

A: We have given total cost Cx=2100+50x-0·1x2 (a) When 31st food processor is produced  Put x=31…

Q: Formulate the LP problem, which includes the objective function and the constraints. Then solve. Use…

A: Given data Hours Table Chair optimality Carpentry time  4 3 240 Painting time 2 1 100…

Q: Solve the differential equation. y' + y tan x = COS X, -/2 < x < π/2 A y=x sin x + c cos X, - /2<x<…

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Q: 2. Solve the inequality. Give the solution in set and interval notation, then graph it. -7x + 16 +…

A: Need to solve the inequality and to give the solution in set and interval notation and then we need…

Q: Find the profit function if cost and revenue are given by C(x) = 191 + 5.2x and R(x) = 3x -0.02x².…

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Q: Find y' if y= - 14 3 X

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Q: Compute the derivatives of the given functions. a)  f(x)=ln(7x5)  f′(x)= ___ b) g(x)=ln(4√x,…

A: This is a problem of derivative. Please follow the procedure given below.