Express the limit as a definite integral on the given interval. lim. Σ (x2 + 4x, n→∞ -Ax, [1, 9] 8 dx

Q: what is the domain of following € (X)=√x+5 X-5

A: Given: Now, we need to find the domain of the above function.

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Q: Evaluating Triple Iterated Integrals Evaluate the integrals in Exercises 7-20 ∙1 pl 1 12. 0 J To 1…

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Q: Consider the function ƒ(x) = 8(x − 4)²/³. 2/3 For this function there are two important intervals:…

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Q: α. C Bl b = 6 a. Triangle above. IF C= √61, 6=6 Find a, d and B.

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Q: 3 2 1 1 To find the blue shaded area above, we would calculate: b f(x) dx = area Where: a = f(x) =…

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Q: 25. Aviation When kerosene is purified to make jet fuel, pollutants are removed by passing the…

A: We have to find the exponential function that model the percent of impurity

Q: Suppose that f(x, y) = 2x + 7y and the region D is given by {(x, y) | − 5 ≤ x ≤ 3, -5 ≤ y ≤ 3}. D…

A: To find the double integral value.

Q: Let Sk Find $5. $5= Σ n(0.1)" n=1

A: The given series sk=∑n=1kn0.1n We have to find the value of s5.

Q: n=1 (x - 2)" n 5

A: Ratio test

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Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim(2 sin(11t)…

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Q: Find the average value of the function f(x, y)=x√y over the rectangular region R = [-1,3] x [1, 2].…

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Q: Enter any local extrema as an ordered pair, and separate multiple an Selecting a radio button will…

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Q: 2/5 Find the cost function if the marginal cost function is given by C'(x)= x + 9 and 32 units cost…

A: To determine the cost function

Q: b) Find the indefinite integral: S 5Cos(t) 2.Sin ¹0 (t) - dt

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Q: Use the properties of natural logarithms to simplify the function. f(x)=ln(x/6)+ln(6)

A: SOLUTION-

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Q: True or False: Consider y 1 If I use logarithmic differentiation to find y, the formula for 1 in…

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Q: The sales function for a product is given by S(x)=122+34.5x2−0.5x3 where x represents thousands of…

A: Let's find point of diminishing returns.

Q: Find the function f(x) with the following properties. f'(x) = 3x², f(4) = 3.

A: Givenf'(x)=3x2,f(4)=3   We are required to find the function f(x)

Q: find the cos(t) and sin(t) of t=3pi/4

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Q: If f' changes signs from negative to positive around a critical number c, then what happens? Of has…

A: given f' changes signs from negative to positive around a critical number c

Q: Write the equation of the circle with the following properties in standard form and in general form.…

A: Given center = ( 2 , 4 ) radius = 9

Q: Find the slope of the tangent line to the polar curve r = 2 + sin30, at the point = BIT

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Q: Find the vertex, focus, and directrix of the parabola x² +12y = 0.

A: The given equation is x2+12y=0

Q: The velocity of a particle traveling along a straight line is given by v(t) = 2(t² – 2t − 3) for 2 ≤…

A: INTRODUCTION:  The indefinite integral is typically carried out in troubles concerning distance,…

Q: Find the solution to the differential equation dy dx - In x csc y = 0.

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Q: Find the sum. 5 k Σ. 3(1) -1 k = 1

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Q: 4. y = 2³, y = x

A: find intersection points graph

Q: not correct

A: Let's solve triple integral.

Q: (y-x+xy cotx) dx + xdy = 0

A: note :- since you have asked multiple questions but according to bartleby i only have to solve first…

Q: Evaluate the definite integral of 33 f(x) dx for f(x) = -3 (-x+1 4x+1, if -3 ≤ x < 0 if 0≤x≤3

A: To evaluate the definite integral of ∫-33 fx dx for fx=-x+1, if -3≤x&lt;04x+1, if 0≤x≤3.

Q: C 26 D ·6· 14 17 -18- 5 4 B 11 E 27 A Q Find the length of the shortest path from vertex A to vertex…

A: We have to find the length of the shortest path.

Q: (x)=(3x2−12)2 Step 1 of 2: Find the second derivative of the given function.

A: dxndx=nxn-1d(constant)dx=0

Q: Find JJJ and 2 = y dV, where E is the solid bounded by the parabolic cylinder z = 15 - 4y Question…

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Q: Explain all the reasons why the integral the integral as an appropriate set of limits. dr x√x² 9 is…

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Q: Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the…

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Q: Given the following table of values for f(x): x = f(x) = Riemann Sum= 4 5 6 7 1 2 3 -7 -4 -9 -8 2 7…

A: Riemann sum

Q: Evaluate each of the following. Explain and show your work. 2dt) -tin(t+1) tan(t)

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Q: 2) Find the first 5 terms of {bn} = {}.

A: Find the first 5 terms

Q: A car is moving with speed 35 m/s and acceleration 3 m/s² at the given instant. Using a…

A: Given  v0=35 m/sa = 3 m/s2take s0=0   formula for distance  Put values…

Q: 2. S2² 52. x² sin 2x dx

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Q: Solve for the general solution: y" + 3y = x + 1. Oy(x) = C₁ + c₂e-3x + 2x/9 + x^2/6 y(x) = C₁ +…

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Q: Reversing the Order of Integration In Exercises 33-46, sketch the region of integration and write an…

A: Given that ∫01∫1-x1-x2dydx

Q: The Maclaurin series of the function f(x) = 5x² sin(10x) can be written as f(x) = Σ n=0 where a few…

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Q: 2+3e^4x =6 8e^2x-20=0

A: Given2+3e4x=6 &amp; 8e2x-20=0

Q: Find the Maclaurin series for f(x) = cos(13x). cos(13x) = Σ

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Q: r(t) = 300 + 800t - 90t²,

A: