change in x Ax Note that the given chart provides data points in the form of (t, C(t)). Year t (year since 2000) 0 6 Military Expenditure C(t) ($ billion) 40 260 In the year 2000, t = 0 and C(0) = 40. In the year 2006, t 6 and C(6) = In the year 2012, t = 12 and C(12) 12 530 b-a The average rate of change notation for this question is A AC

Q: d dx [f(5x)] = x², then f'(x) = ?

A: Derivative

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A:

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A:

Q: 9. For f(x)=2x2, fim 2x²-2<0.05 (he

A: given :fx=2x20&lt;x-1&lt;δ

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A: The mean of the normal expression to the binomial distribution= E[x] = np Where, n = Number of…

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A:

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A: Given x-2y  0  -2  6=3  0   -2  x+y

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A:

Q: Velocity If a stone is thrown down at 130 ft/s from a height of 900 feet, its height after t seconds…

A:

Q: Q13 If S, 4+ is the nth partial sum for the infinite series find the value of ay A) - B)-- (C)- D)…

A: We can solve this as follows:

Q: For a binomial test, if pn True False 10 and qn = 30, then p www 0.25.

A: True

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A:

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A:

Q: The curve y2 - x5= -5x is a solution to the differential equation y' = (2x-5)/2y

A: Integrate by seperation of Variables

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A:

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A: Please see the below picture for detailed solution.

Q: x(x+1) 2x-1 4. y = 5. f(x) 6. y = = J at x = 0.6 1-3x+x³3 1 (1+√1-x)²¹ 7. 8. y = 52x+1, 1 2 at x = :…

A:

Q: The graph of a function is shown together with the tangent line at a point P. y 6+ 5 4 3 2 1 1 2 3 4…

A:

Q: 4. Sketch a graph of a function g(x) with g(1) = 2 and lim g(x)=0. x→1

A:

Q: Solve the following differential equations. Show your complete and detailed solutions. 3. (y²sin2x)…

A:

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A: NOTE: Refresh your page if you can't see any equations. . as we can see the function is increasing…

Q: √√9-² A) sin ¹(3x) + c. B) sin-¹x+c. C) sin-¹ x + c. 22. dx = c sin(In x) D) sin-¹+c. E) sin-¹+c.

A:

Q: The differential equation y '- 2y - 3x2=0 is linear and homogeneous. A) TRUE B) FALSE

A:

Q: Let f(x)=3x+8, x₁ = 2, X₂ = 5, x3 = 8, x4 = 11, and Ax=3. 4 (8) Find Σ 1 (x) Δ.Χ. i=1 (b) The sum in…

A:

Q: a/the derivative of the following function is y=x²-sin x

A: Solution )  y = x2 - sin x  Differentiate with respect to x  dy/dx = d/dx( x2) - d/dx ( sin x )  […

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A:

Q: 35-38 Use continuity to evaluate the limit. 35. lim x√20-x² 36

A: (35).    Use continuity to evaluate the limit of: limx→2 x20-x2

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A:

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A: Given: We have given that luna earns $50 no matter how long she jumps We have to form the function…

Q: b/ For the following function the range is y = √4-x

A: Topic = Function

Q: BIU x² 5 4 X₂ 3 32 1 O 1 x 2 3 3.5 4 f(x) 1.653 2.02 2.533 22 E 3 ||| 4 5 Graph of f E P 7 6 4.5…

A:

Q: y" + 20y' + 64y = 60e-4x

A: To find the solution

Q: For the function f(x) = 5x² + 4x, evaluate and simplify the difference quotient. f(x+h)-f(x) h 11

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

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A:

Q: Q8 09 A)Converge Absolutly 3 B) Diverge Conserge D) Conditionally Converge AWE A) Diverge B)…

A:

Q: iven the points A = (3, 4, 2), B= (-1, 2, 4), C= (0, 1, 3), and D= (-1, 2, 3), find   the exact…

A: Given that point A=3,4,2 ,B=-1,2,4 ,C=0,1,3 , and D=-1,2,3Solution :equation of line passes through…

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A:

Q: A particle moves on a circle of radius 5 cm, centered at the origin, in the xy-plane (x and y…

A: Initial position ( 0 , 5 ) which means particle has already covered π2

Q: Evaluate the integrals (3) xlnxdx

A: We need to evaluate the following integral ∫xlnxdx

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A: Here we have given a higher order differential equations.  Now we have to find its general solution.…

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A: Here we have given that x be the time between two successive arrivals at the drive up window  Now ,…

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A: To show that, 2cos-1(x)=cos-1(2x-1)            ,                0≤x≤1

Q: [1 0 -1 39

A: NOTE: Refresh your page if you can't see any equations. . use the diagonal matrix formula

Q: Find the next term of the sequence: 2, 4, 8, 16, 32,

A:

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A:

Q: Which of the following is the complete set of roots of the auxiliary equation for y"-3y+3y'-y=0. A)…

A: Given, y'''-3y''+3y'-y=0

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A: Given : f(b)-f(a)b-a gives slope of graph.

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A:

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A: Topic- Equation of a circle Equation of a circle with center (a,b) and radius r(x-a)2+(y-b)2=r2

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A: formula used ∫lnx dx=xlnx-x+C