Find the derivative of the function f(x)=2x−73x−2 at x=2

Q: a. The graph of a monomial function f is shown below. 25 20 15 10- 5 -5 -4 -3 -5 -10 -15 -20 -25 Com...

A: Please see the below picture for detailed solution. 

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Q: The Pauli Exclusion Principle tells us that no two electrons in an atom can have the same four quant...

A: Please see the below picture for solution. 

Q: |d?y |dx2 K($) = Cos3 %3D

A: Given curve y=f(x)

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Q: csc2 Given: lcot2(클x)- 4cot(글x)+ 4 xp - Find: u cot2 4cot x+ 4 cot cot2 4cot X+4 O ca)-2 cot

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Q: Juan's body metabolizes caffeine at a rate of 14.2% per hour (so the amount of caffeine in Juan's bo...

A: The amount of caffeine in Juan's body decreases by 14.2% each hour.

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A: Let's find. 

Q: Solve for the maximum and minimum values for ∫(x^3−2)/3dx. (Upper limit is 1 and lower limit is -2

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Q: S 5e¯x- 6e-3x Given: Find: u 5e2x – 6 O 5e-x- 6e-3x O5e-x- 6e-3x O 5-6e-2x

A: Given:  ∫ex5e-x-6e-3x3 dx To Find:  To find u substitution.    

Q: x+1-cos²(x) 3sin(x) 7. Find lim

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Q: dx Evaluate (1– 2x)² 1 2 O -1 1 2

A: To solve the following integral

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A: This question can be solved by the concept of number line.

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Q: 2x хе 2x +c Select one: O True O False

A: We will integrate the function and will evaluate left hand side as:-

Q: Evaluate the integral. sin (10x) cos?(10x) dx =| +C NOTE: Enter the exact answer.

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Q: Give the degree and leading coefficient of the following function: f(x) =2x2 (4- 3x-5x3)

A: Given query is to find the degree and the leading coefficient of the function.

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Q: dy :-y = xy2 dx

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Q: Determine the value of x of the discontinuous function: х — 1 f (x) 3D {3х — 3 (-4x + 3 x 3 -

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Q: 16. Explain the squeeze theorem using any example of your choosing.

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Q: Sar en x² dx Given: Find: Formula o fe"du Sa"au

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Q: A community had an initial population of 6000 people in 1990.  Now assume that the population decrea...

A: topic- exponential function

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Q: Given: [2x? (3-5x*)" dx 2x3 (3 – 5x Find: Formula o fu'du 02 fu'du O-2 fu'du Su du 1 10

A: I am attaching image so that you understand each and every step.

Q: V sec3(In x) + sec2(In x) tan(In x) dx Given: 2x Find: du O tan(in x) dx X O tan(In x) dx 2x sec (In...

A: Given:     To determine: expression for du

Q: Evaluate the integral dx 3e2x - 2e-2x 1 VZe-2x + /2e-4x - 3+C 2/2 1 -Arcsin V2e-2x +C V3 2/3e2x - 2e...

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Q: 4. If f is a differentiable function of x and y with w = f(x, y), x = r cos 0 and y = r sin 0, show ...

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Q: Evaluate the following improper integral. Give an exact answer. 1. dx 2/3

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Q: A community had an initial population of 6000 people in 1990. (a) First assume that the population ...

A: NOTE: Refresh your page if you can't see any equations. . the population decreased by a constant 100...

Q: 4x 1.2) lim X4 yx-2

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Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) -...

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Q: 45-56 Find the absolute maximum and absolute minimum values of f on the given interval. 45. f(x) = 1...

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Q: Suppose x E Rand let A 11 x 1 x x x x x (a) Compute det A as a function of x. How does the rank of A...

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Q: Evaluate the integral. | sin(x) cos(6x) da = +C NOTE: Enter the ezact answer.

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Q: 03 -3 -2 -1 1 2 4. -2- -3 -4- -5+ Determine which one of the following rules for continuity is the f...

A: I am attaching image so that you understand each and every step. Answer of this question is 2 option...

Q: f(x) = { * ах 2 + ах —4, х> 2

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Q: Evaluate the integral SV5+12x² – 4xª xdx 1 -(5+ 12x² – 4xª) ² +C 24 (2x2 – 3)/5+ 12x? – 4xª + 14Arcs...

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region...

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Q: complementry function for this DE  12.7y" + 68.58y' + 153y = 0.289(y+1)

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Q: dw 3. (w² +4)Z

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Q: Consider the following sequence. If the sequence converges, determine its limit. If the series diver...

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Q: dx Evaluate 6e* cos (3e *) -In |sec(3e ) – tan(3e |] + C O 2 [In |sec(3e-x) + tan(3e-)|] + C -18 [In...

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Q: Write an equation for a rational function with the given characteristics. 4, x-intercepts at (-4,0) ...

A: Explained below 

Q: 37. h(t) = 14 -214 39. F(x) = x" (x - 4)²

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Q: and non-real). (Enter your answers as a comma-separated list.) x3 + 12x2 + 46x + 60 = 0

A: Given query is to find the solution of the expression.

Q: 19-22 Use a triple integral to find the volume of the given solid 22. The solid enclosed by the cyli...

A: Given cylinder is x2+z2=4 and the plane is y=-1 and y+z=4 So,  y→-1 to 4-z z→-4-x2 to 4-x2 And x→-2 ...

Q: eln x, find y"

A: Explained below