Evaluate the summation: η Σ η3 – 1 nEZ\{1}

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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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Here function we have given isy=5x+2sinx. And interval given in the problem is(-π,π). ⇒x∈(-π,π) Now…

Q: a.) Without regard to the context of your parabolic model, what is the mathematical domain of your…

A: Given:  Parabolic model: y=-7x2/60+119x/60+7                                       (1)…

Q: Given z = x² + xy¹, x = uv² +w², y=u+vew дz მა then find: when u = 1, v = − 1, w=0

A: Given: z=x2+xy4,x=uv2+w2,y=u+vew To find: ∂z∂v at u=1,v=-1,w=0

Q: I am unclear on how the work is supposed to look here. would you be able to write this out?

A: As we know that if f'(x) is the derivative of a function then the original function is given by…

Q: Rewrite the given iterated integral using cylindrical coordinates. Do not evaluate the integral.…

A: As we know that from cartesian to cylindrical coordinate we have conversion formulax=rcosθ, y=rsinθ,…

Q: find the exact solution 40=3(1.15)^t

A: Given query is to find the value of t.

Q: By Lagrange find √18 where √√16=4,√√25 = 5, 4.5 O 38 O 9 18 O 9 40

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Q: A once thriving company in Teaneck had its monthly profits, in thousands of dollars, modeled by the…

A: we need to find out the profit many years into the future.

Q: x = Find the volume of the solid obtained by rotating the region enclosed by the graphs a the…

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Q: If ƒ(x, y) = x²e³+¹ then Ignore "Give your reasons" below. There is no need to give a reason. Select…

A: Given:     To determine: fx

Q: (a) lim h→0 (b) lim x-0 e cos² h - 1 h 1 + tan x X √1 - tan x

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Q: Let 5x³ - y³ + 52³ - 4xyz - 874 = 0. дz Use partial derivatives to calculate and ?х дz ?х дz ду…

A: To find the partial derivatives at a given point.

Q: All edges of a cube are expanding at a rate of 2 centimeters per second. How fast is the volume…

A: Topic:- application of derivatives

Q: 27 the absolute extrema if they exist, as well as all values of x where they occur, for the function…

A: Topic:- application of derivatives

Q: lim h→0 eh cos² h - 1 h

A: We need to find the limit without using L'Hopital Rule.limh→0ehcos2h-1h

Q: The temperature of an object is reduced as the following moodle: T(t) = 15+ 76 ekt Find the value of…

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Q: y=tx y=kx base view cross-section The base of a certain solid is the area bounded above by the graph…

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Q: solve 85e^3x+1=15 using logarithms

A: Given, 85e^3x+1=15

Q: Find the absolute maximum and minimum of f(x, y) = 4x + 2y within the domain x² + y² ≤ 25. Please…

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Q: Write out the first five terms of the sequence [10²], determine whether the sequence converges, and…

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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: n n 16" is CV

A:

Q: (a) Find the arc length function for the curve y = In(sin(x)), 0 < x < , with starting point s(x)= =…

A: Given that y=lnsinx  ,0&lt;x&lt;π   starting point is π2,0To find :Arc lengthSolution :Arc length…

Q: You and your friend are shopping at the the nearby Target store. You spent 78 dollars on 3 pounds of…

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Q: If a cup of coffee has temperature 96°C in a room where the ambient air temperature is 19°C, then,…

A: Find average temperature of first 20 minutes.

Q: value of a car was $48000 in 2015. By 2020, the value of the car depreciated to $16226 a)Assume…

A: Given query is to find stue linear function for the value of the car.

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after…

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Q: 24 Write the expression (e-³)¯ in the former for a suitable constant k. Determine k. Give your…

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Q: (b) X 2 (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.)…

A: The given graph of f' is:

Q: Use the total differential to approximate the quantity. Then use a calculator to approximate the…

A: Let fx,y=x2+y2 And x=5 ,y=12

Q: A manufacturer has total cost function C(x) = 45000 + 100x + x³ (in dollars) and revenue function…

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Q: You need to construct an open-top rectangular box with a square base that must hold a volume of…

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Q: Consider the interval [-2, -1].  According to the Intermediate Value Thereom, which of the following…

A: Intermediate Value Theorem:- If a function f(x) is continuous on the interval (a,b) and have value…

Q: Find the average value of the function over the given interval. 1 on x² f(x) = on [1, 7]

A: The average value of the function is 17  17≈0.1428

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: 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: Do not use a calculator for this problem. Find the x-value where the maximum value of sin x x²…

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Q: nd the a. 17, 30, 43, 56, 69, 82, ... 1 3 7 11 15 formula for the nth ter

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

Q: Consider the function. y = (2x² + 1)³ (a) Decompose the function in the form y = f(u) and u = g(x).…

A: We have to find given decomposition and derivative of y.

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

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Q: The fox population in a certain region has an annual growth rate of 7 percent per year. It is…

A: NOTE: Refresh your page if you can't see any equations. . the exponential function is given by…

Q: Use finite approximations to estimate the area under the graph of the function f(x) = 8 - x² - 2x…

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Q: g(x) g'(5) = 2 X 13 1+t2 dt

A: Given query is to find indicated derivative.

Q: y=x y²gx base view cross-section The base of a certain solid is the area bounded above by the graph…

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Q: If f is differentiable and f(-1)=3; f(-1)=-2, evaluate the following limit lim f(4x-1)-f(x-1)_ X40 X

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Q: What is the degree and order of the given differential equation? d²y dx2 5 + degree 1 and order 3…

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Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

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Q: Find the extreme values of f(x,y) = y2 - x2

A: we can find extreme values.