Express the limit lim (3(x; )² – 5(x; )¹) Ax; over [3, 6] as an integral. n→ ∞0 n a = Provide a, b and f(x) in the expression b= =1 f(x) = Question Help: Message instructor f* f(x) dx. Submit Question Jump to Answer

Q: Show that each of the following functic -7x lim →∞ 15 + 2x 12x - 11

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. In an experiment, the time (in seconds) needed to empty a column of water is, where h (in cm) is…

A: Here we have  t = (c√h)/d2 Let m = c√h Then t = m/d2 And if x = 1/d2  Then t= mx

Q: A particular computing company finds that its weekly​ profit, in​ dollars, from the production and…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: The average cost for a company to produce x units of a product is given by the function…

A: The average cost for a company to produce x units of a product is given by the function…

Q: Use properties of the integral and the integral formulas to calculate the integral. [₁³(2x - 6x²) dx…

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Q: Consider the function f(x) = x¹ − 72x² +6, -5≤x≤ 13. x4 Find the absolute minimum value of this…

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Q: A particle is moving with the given data. Find the position of the particle. a(t) = 3 cost-2 sint,…

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Q: QUESTION 11 State the y-coordinate of the point on the parabola y2=2x that is closest to the point…

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Q: Write the arithmetic sequence −19,−10,−1,8,... in the standard form

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Q: 36. 2² √2² +3° dt

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Q: If ["* f(x)dx = [ª* f(x)dx + [ª f(x)dx - [** f(x)dx, 6 what are the bounds of integration for the…

A: Given∫abf(x)dx=∫-62f(x)dx+∫25f(x)dx-∫-6-2f(x)dx We are required to find the value of a and b

Q: List the critical numbers of the following function in increasing order. Enter N in any blank that…

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Q: Consider the initial value problem for the function y, (t, y) y' - 3 = cos(t) y² 3 y(0) = 1. (a)…

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Q: Price-Supply Equation The number of bicycle. helmets a retail chain is willing to sell per week at a…

A: We will find the required.

Q: what is the difference between a power series and the series?

A: series:        The word series as used in mathematics means an infinite sum. For example, the…

Q: Given that "f(z)dx=14, what is "f(u)d da 3

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Q: A car rental agency rents 210 cars per day at a rate of ​$40 per day. For each ​$1 increase in​…

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Q: In a certain city the temperature (in °F) hours after 9 AM was modeled by the function T(t) = 50+ 14…

A: GivenT(t)=50+14sinπt12 We are required to find the average temperature during the period from 9 AM…

Q: Find the volume of the region under the surface z = x + y = 12 = y² and ry² and above the area…

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Q: 8 8. Evaluate the series In(k) - In(k+2) k=2 (a) 0 (d) In(2) + In(3) (e) In (3) + In(4) (f) In (2) -…

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Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake​ Beach, using 1100yd…

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Q: Because of the popularity and power of smartphones, demand for wireless communication is growing…

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Q: Consider h (x) = tan x A. Explain why the Mean Value Theorem cannot be applied to h (x) on the…

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Q: Evaluate the following integral: [²91²+71+4d²

A: Given integral: I=∫-229t2+7t+4dt Formulas: ∫xndx=xn+1n+1∫Kfxdx=K∫fxdx

Q: 1, +4 For each of the following functions, indicate the asymptotes (with x = 5 or y=3) or write…

A: The given function is f(x)=x-9x2+25

Q: a B с a b Description of image (in case it has trouble loading): A right triangle has acute angles a…

A: A right triangle has acute angles α and β. The side opposite to α is a, the side opposite to β is b,…

Q: eliminate the arbitrary constant of   y = Ae^Bx+C

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Q: Question Use properties of the indefinite integral to express the following integral in terms of…

A: To solve the following problem of Integration

Q: Cars are entering a parking lot at a rate of 7 cars in the first minute, 10 cars in the second…

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Q: Convert the polar function f(theta)= 6cos(theta) to Cartesian coordinates and graph the function on…

A: Given polar function: fθ=6cosθr=6cosθ In polar coordinates: x=rcosθy=rsinθx2+y2=r2

Q: Find the instantaneous rate of change in the amount in the account at the time the amount is equal…

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Q: Find the mass of a lamina bounded by y = 3√√x, x = 4, and y = 0 with the density function o(x, y) =…

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Q: Find the arc length of the following curve on the given interval. x = 6t³, y = 9t², 0≤ts √3

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Q: Find a formula for the general term a sub n of the sequence assuming the pattern of the first few…

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Q: the open intervals on which the graph of the function is concave upward or concave downward. Assume…

A: Given query is to find the interval where graph is concave up and down.

Q: give the general solution of (3x^2-2y)dx+(x^3lny+x)dy=0

A: (3x^2-2y)dx+(x^3lny+x)dy=0

Q: For the function, find the indicated expressions. f(x) = x5 In(x) (a) Find f'(x). f'(x) = (b) Find…

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Q: 5. y=12x-3 1-2

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Q: Find the Malclaurin Series for the function f(x)=sin(2x) write in summation form.

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Q: ·[a² sin(2x)da 16. Evaluate

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

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Q: 21. f(x)=-3x-9, g(x) = - X-3

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Q: Find + f₂c² (x + 4y)dA where D = {(x, y) | x² + y² ≤ 4, x > 0} Question Help: Video Submit Question…

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Q: Evaluate the definite integral: √√2x- =dx (simplify your answer without using spaces, parenthesis,…

A: To evaluate the following definite integral.∫1312x-1 dx

Q: Evaluate the definite integral [² (9x² - 6x +9) dx

A: ∫279x2-6x+9dx

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤ts 1. ((x + 3y²) dy

A: Since you have asked more than one question. so i have done first for you. If you want more question…

Q: π -π csc r cotx dx

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Q: Find the area of the region bounded by the parabola y = 3x^2, the tangent line to this parabola at…

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Q: 4. Evaluate the line integral (2² - y²) da + a dy if C is given by the parametric t2/3, y=t(-1 ≤ t ≤…

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Q: 4) Write the equation based on the graph. (ST, 14 2 14 15π 2 ,6

A: Equation