(a) In order to express the function y=(9t^3 −3)^8 as a composition of two functions the outer of which is a power function, we would let u be equal to the inner function, u=____________________

Q: Sketch a graph of f(x) where f(x) = 1 10 -9 -8 -7 -6 -5 -4 -3 Clear All Draw: کو -2 -1 10 9 8 7 6 5-…

A: The objective is to sketch the graph of f(x)=1 .

Q: Given point P(8, 2, 6) and vector n = i + j, find point Q on the x-axis such that PQ and n are…

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Q: I can't see all of the work, It is cut off. Please evaluate again and show work. Thank you.

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Q: (a) Use a graph of f(x): 2x² + 9x + 2 2x² + 2x + 1 to estimate the value of lim f(x) to one decimal…

A: For (a), Given: Graph of the above function is: From the above graph, limx→∞f(x) is 2.4 to one…

Q: The rectangular coordinates (x, y, z) of a point are given. Find the cylindrical coordinates (r, 0,…

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Q: Problem #4: Determine the sum of the following series. 256 + 90 Problem #4: +1+ + 16 +16245 +...…

A: Given :2516+54+1+45+1625+64125+...

Q: 10. Logarithmic function is the inverse of * exponential function.

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Q: Use logarithmic differentiation to find the derivative, dx of y=√x(x + 7). .

A: By using logarithmic differentiation to find the derivative, dydx, of y=xx+7.

Q: If an arrow is shot upward on the moon with a velocity of 54 m/s, its height (in meters) after t…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: value of the constant c that makes the following function continuous on (- f(s) = cs+4 if se cs²-4…

A: Topic:- application of calculus

Q: Given f(x, y) = 5x¹ - 4x²y – 2y5, find fx(x, y) = fy(x, y) = fxx (x, y) = fxy(x, y) = fyy(x, y) =…

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Q: Evaluate the definite integral that represents the volume of the solid formed by revolving the…

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Q: If f and g are continuous functions such that lim (5f(x) - g(x)) = 4, f(9) = 5, x 9 find the value…

A: given  f and g are continuous functions limx→9(5f(x)-g(x))=4f(9)=5we know…

Q: The graph of g'(x), the derivative of a function g(x) is pictured below on the closed interval [-9,…

A: Let's find interval of function increasing.

Q: If the function f is continuous everywhere and x² - 9 x + 3 f(x) when x-3, find the value of f(-3).…

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Q: The region bounded by f(x) = -1x² + 5x + 24, x = 0, and y = 0 is rotated about the y-axis. Find the…

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Q: f(x) = 19 + 2x-x², [0, 5] absolute minimum value absolute maximum value

A: Given 19+2x-x2 The objective is to find the absolute maximum and minimum values

Q: Find the work done in winding up a 300-ft cable that weighs 2 lb/ft. O A. 270,000 ft-lb O B. 600…

A: To find the work done in winding up a 300-ft cable that weighs 2 lb/ft.

Q: 2. Simplify log(x) + log₁|

A: log4(x) can be written as (log(x))/(log(4))   log4(x) = (log(x))/(log(4)) And log4y=(logy)/(log4)…

Q: Evaluate lim I-1 when f(x) = 3x² + 5x +3. Select all that apply 1. limit = 13 2. limit = 9 3. limit…

A: To find the limit of the function.

Q: The electric charge q (in C) passing a given point in a circuit is given by q = t sec √√0.4² +2,…

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Q: Find the indicated one-sided limits of f, and determine the continuity of f at the indicated point.…

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Q: X Let xy += 5. Solve for y 'when x = 2 and y = 2. y A B NIC Ⓒo C 0 D 1513 – 1

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Q: + -3 2 1 5- 4 3 2 -1 2 -3 -4 2 3 4 -5- In the above graph of y = f( x ), find the slope of the…

A: according to bartleby polivy we do only first part of multiple questions.there for please re post…

Q: How in the world do you integrate this. Plz dont over simplifed the steps so I can learn. Thank you

A: We are required to find how the following integration has been performedV=∫2162πy2y23dy=90π   The…

Q: The given two-parameter family is a solution of the indicated differential equation on the interval…

A: Given that a differential equation and also goven that its solution we find that solution at given…

Q: 21. lim t→0 e5t t 1 t = ±0.5, ±0.1, ±0.01, ±0.001, ±0.0001

A: We have to find the limit limt→0e5t-1t, using the given values.

Q: The graph of g'(x), the derivative of a function g(x) is pictured below on the clo [-9, 12]. g'(x)…

A: We are asked to find the point of  inflection

Q: Solve the general solution of the following: A. (4D^5 - 8D^4 - 17D^3 + 12D^2 + 9D)y = | I

A: As per guidelines we can solve maximum 1 question at a time. Please repost the other question and…

Q: Let B be the solid whose base is the circle x² + y² = 16 and whose vertical cross sections…

A: given solid base is circle  x2+y2=16given  whose vertical cross section perpendicular to the x axis…

Q: Help me evaluate each of the definite integrals please

A: here we have to find the integrals.

Q: 2 Find the average rate of change of g(x) = -3x²+1 from x=-4 to x = 1. Simplify your answer as much…

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Q: Use truth tables to check if the given pairs of formal propositions are logically equivalen and…

A: A detailed solution is given below.

Q: 5. 6. (-2,-2) Answer 8 y=x² y=x²-3x (-2,4) (1,6) (2,4) y 0 3y=2x+16 y=-2x+8 (2, 2) y = x X

A: To find the area of each of the following shaded region. (5)  (6)

Q: Calculate the area of the shaded part (-2, 1) Area 1 y = x + 3 and y=x²-3x + 3. 0 Area 2 (2,5)…

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Q: A developer is considering buying a building for $270,000. She will use a straight-line depreciation…

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Q: 1. Use the addition and subtraction formulas to reduce 20 to 0. (a) sin(20) (b) cos(20)

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Q: Find all the points at which the function f(x) = r² - 2x - 24 is not continuous.

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 300…

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Q: I am unable to see the solution. The text is cut off. Please redo.

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Q: The given family of functions is the general solution of the differential equation on the indicated…

A: A detailed solution is given below.

Q: For which integer n, 0≤ n ≤ 3, does the IVT say that f(x) = x³9x+3 has a zero in the interval [n/4,…

A: Given that : f(x) = x5 - 9x +3  has a zero in interval [n/4,(n+1)/4].   Here i attached the solution…

Q: Find all values of x at which the tangent line to the curve 2 x + 8 passes through the origin.…

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Q: If f and g are continuous functions such that lim (5f(x) - g(x)) = 4, ƒ(9) = 5, 219 find the value…

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Q: The strength of magnetic force varies inversely with the square of the distance between the magnets.…

A: Given :Force=kdistance2 Distance between two magnets = 0.04 meter F=2 newtons

Q: Below are the graphs of functions f and g. 4 84 -4 9:--- Use these graphs to determine lim (f(x) +…

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Q: Find the exact value of each function using the sum or difference identities: • Sin (60° +45°) •cos…

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Q: The graph of y = f(x) is shown. 10-9-8-7-6-5-4-3-2 10 69 8 7- 6 5 4 3 نما 2 1 -2- -3 -4 -5 -6- -7…

A: To find value of x when f(x) =0 and value of f(x) when x=0.

Q: Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had…

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Q: Evaluate the following limit by simplifying the expression (first answer box) and then evaluating…

A: Given limit limx→5x - 5x - 5