Use the Definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. 7x x² + 6 1 ≤ x ≤ 3 lim n→ ∞0 f(x) = Σ i = 1

Q: dy 16. for y=(csc1+secu)³ du

A: according to bartleby guide line we do only first part of multiply questions   16)    y=(csc1+secu)3…

Q: Find the partial derivatives indicated Assume the variables are restricted to a domain on which the…

A: zx : hold "y" constant -- treat it as a known constant, letting only x be a variable. zy: hold "x"…

Q: Look at the effects of different bases on f(x) = log(x): -5 140 x

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Q: Let be a function defined by f(x,y)= x5 y4-7 exy

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Q: 2 (²) 13. f'(t) for f(t) = arctan 14. g'(0) for g(0)=√√30+tan² (40)

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Q: Find a formula for the inverse of the function f(x) = 4+√4+ 11x. 1. Find the formula for the inverse…

A: See the details solution in below

Q: 11. fcsc¹⁰x cot xdx

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Q: Find all second order derivatives for z = 7ye5x Zxx Zyy = Zxy=Zyx = |

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Q: How long will it take for the population of a certain country to double if its annual growth rate…

A: We are required to find the number of years it will take for the population of a certain country to…

Q: Consider the following function. f(x) = x1/5 + 7 (a) Find the critical numbers of f. (Enter your…

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Q: A function for which the derivative is ft)-at is F)=2. That is, 21 is an antiderivative of st.…

A: We have to find out solution

Q: The following table shows the average life expectancies in several countries. Assume that all…

A: The following table shows the average life expectancy in several countries. Assume that all premiums…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Given query is to find the rate of change of base.

Q: Find the critical numbers g(x) = |3x - 4| *please use handwriting not typing, I understand it…

A: A critical point is a local maximum if the function changes from increasing to decreasing at that…

Q: a) Classify the following sequences: (i) 6.5, 9.75, 13, 16.35,…….. (ii) 4/9, 8/9, 16/9, 33/9,…………

A: a) Classify the following sequences:(i) 6.5, 9.75, 13, 16.35,…….. (ii) 4/9, 8/9, 16/9, 33/9,…………

Q: A company determines that monthly sales​ S(t), in thousands of​ dollars, after t months of marketing…

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Q: he population P (in thousands) of Orlando, Florida, from 1980 through 2013 can be modeled by P =…

A: Given query is to find the time when population reached to 390000.

Q: If the derivative of a function is given by f '(x) = x(x - 2)(x + 6), then for what values of x is…

A: Given:      f'x=xx-2x+6 To get values of x is fx decreasing put f'x<0        xx-2x+6<0…

Q: I. Find the intercepts, the critical points and point of inflection for each of the following…

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Q: (e) Identify the x-coordinate of any inflection point(s) of f(x).

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Q: Find the solution to the differential equation shown: y" - 2y' + y = x² - 1; y = 7 and y' = 15 when…

A: Given differential equation, y''-2y'+y=x2-1, with initial conditionas as y0=7, y'0=15, We need to…

Q: A farmer wants to construct a fence around an area of 12696 square feet in a rectangular field and…

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Q: b) The cost structure for iPhones are as follows, fixed cost of $25 and variable cost per unit of…

A: Given:Fixed cost=$25Cost price per unit=$2

Q: Question Find the first four non-zero terms of the Maclaurin series for the function below. f(x) =…

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Q: Given a helix find the normal vector, binormal vector, and the oscillating plane at the point…

A: The given helix is:r(t)=cos t, sin t, t

Q: that has been recently. There is a been manufactured. The temperature is represented by T (t). the…

A:

Q: Describe how the graph of can be obtained from f(x) = x². 7 g(x) = (x + 2)²-3 The graph of g(x) is…

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Q: 15 4x(3x+5) 15 4x(3x+5) Find the partial decomposition for the rational expression. 4X 3x+5

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Q: Find the points on the sphere x2+y2+z2=2 that are closest to and farthest from P0(3,1,-1).

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Q: n writing your final answer, follow the format 2x^5y-3x^3ye^(x)+x^3-2y^2=0. Strictly no spaces…

A: Concept: For the D.E in the form Qdy+Pdx=0 The condition for exact differential equation is…

Q: 8. Solve the initial value problem as a linear first-order differential equation: 3 ty – 2y = t³…

A: The given differential equation is:t y'-2y=t5 sin(2t)-t3+4t4 ,       y(π)=32π4

Q: ve the right triangle for the unknown sides and angles. Round Values to a=10, b=7.3 A b A= B≈ C≈ O O…

A: Given query is to solve the triangle.

Q: Suppose Find the value of f(82). f(82) = dx f(x) = 10, f(0) = 22.

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

Q: Determine whether the statement is true or false. If f(x) = (x9x4)5, then f(46)(x) = 0. True O False

A: We need to write down that the given statement is true or false.

Q: write the exponential function y=50(1.025)^t in the form of y=a(e)^kt, once you have rewritten the…

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Q: Find indicated rate of number 3

A: Topic:- application of derivatives

Q: What is the derivative of f(x) = ln(x)? x-1 ex X X In(x)

A: To find the derivative of given function

Q: Part 1: Revenue The revenue function is defined as R(x) = x p(x). 1. Find the revenue function, R(x)…

A: Ans 1. P(X) = - 0.25X + 550 TR = P * X TR = (-0.25X +550) *X TR = -0.25 X2 + 550X-------------1)…

Q: Decline of American Idol  After having been on the air for more than a decade, Fox's American Idol…

A: NOTE: Refresh your page if you can't see any equations. . where t=number of years after 2010 and…

Q: Given f''(x) = ƒ(7) Find f 4 sin(2x) and f'(0) 3 and f(0) = - 3.

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Q: vi viii 22 0 TT cos 4x dx sin6x dx

A: Fonding the integrals,use the reduction formula.

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = 3 - x, y…

A: The given functions are:y=3-x,    y=3x-1   and   x=0

Q: M8 3 k=1 √6ke √6k the following series converges. Justry your answer. OA. The series is a p-series…

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Q: 9. f 6 sec¹ xdx

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Q: Find the possible points of inflection of f. b. Create a number line to determine the intervals on…

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Q: compute In(1/e^4)

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Q: Find dy/dx. y=9x-5

A: y=9x-5

Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). √ √ 12(1 -…

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Q: compute log(0.01)

A: Find the value of indicated logarithmic expression.

Q: Perform scaling on a triangle (1, 1), (8, 1) and (1, 9) with a scaling factor of 2 in both x and…

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