Question Use the trapezoidal rule to calculate the absolute error of ¹(5x³ + 5x) dx using 3 subintervals. Enter your answer as a whole number fraction

Q: 4. You need make an open rectangular box (i.e. no top) with square base that can hold 13500 cm³ of…

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Q: Find the area of the shaded region (indicated below) between y = -x (dashed line) and y = √2-x…

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Q: The solutions provided are not answer to my problem. This is my problem: x2>-4x Please explain

A: Let's solve.

Q: Find the general solution for the problem in the form y=yc+yp y'' - 3y' - 4y = 2 + 6t + cost

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Q: One banana and two mangoes cost K1.30. Five bananas and four mangoes cost K3.50. Find in toea the…

A: See this solution in below.

Q: Find f'(x). f(x) = (5x +9) 4

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Q: The function is continuous at g= 0. Determine if it is differentiable at g = 0

A: The given function:Fg=2g2-gif g≤0tangif g>0.We need to check the differentiability at g=0.

Q: - Find the general solution of y"" — 2y" — y' + 2y = 0

A: y'''-2y''-y'+2y=0

Q: Evaluate the following expression without using a calculator. log 75 7

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Q: Find the indefinite integral. (Use C for the constant of integration.) sinh(1 − 6x) dx

A: The given integral: ∫sinh1-6x dxWe need to evaluate the indefinite integral.

Q: Use the method of cylindrical shells to find the volume of the solid formed by rotating the region…

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Q: (2) (a) Graph y = 1/t¹.¹ and y = 1/t0.⁹. Select two viewing windows (a) [0, 10] × [0, 1], (b) [0,…

A: As per bartleby guidelines we only give first three questions answers. Please repost for other…

Q: 7. Determine the following general antiderivatives. [3x (x²-5)³ dx a. C. [4x²+tan n (ex²+7) dx 10 b.…

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Q: 1 F(x) e(u) Set up an integral to find the area A of the region enclosed between f(x) = 0.9x² + 2…

A: Given Data: f(x)=0.9x2+2 g(x)=2

Q: Graph each system of inequalities. Circle the ordered pairs - there is no solution circle no…

A: Note:- These are multiple questions according to company rule we can do maximum 1 so i am solving…

Q: Use logarithmic differentiation to find the derivative of y = (ln(4x))In(4x) (where x > 1/4, so that…

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Q: (4) Explain why fx ln x dx is improper. Evaluate it using the limit of a proper integral.

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Q: Find the derivative of f(x). f(x) = 8x² sin(x) f'(x) =

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Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2). (Enter your…

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

Q: dy Find for the function y = 11*.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 31. One Saturday Omar collected from his newspaper customers twice as many dollar bills as fives and…

A: Note:- These are multiple questions but according to rule we can do maximum 1 question so i am…

Q: On one production line in a small custom chip factory, marginal costs decrease rapidly as more chips…

A: Given Marginal cost function:- C'x=201+0.04x

Q: #8) Find the derivative of the function. y = sech(6x²)

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Q: Graph the solution to the following inequality on the number line. x2>-4x

A: To find the solution of given inequality.

Q: Write a differential equation that models the given situation. The stated rate of change is with…

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Q: Let consider [^e² dr. a) Apply the composite midpoint rule with m = 4. Compute error by comparing…

A: Given, ∫01exdx

Q: Differentiate (logarithmically) dy/dx, if y = ln(cos x)/2x^cot(3x)

A: given  y = ln(cosx)/2x^cot(3x)  dydx= ddx(ln(cosx)/2x^cot(3x)dydx ={ 2xcot(3x)ddx(ln(cosx) -…

Q: A car was valued at $44,000 in the year 1992. The value depreciated to $14,000 by the year 2004. Use…

A: Given data, Principal P=$44000 Amount A=$14000 Time t=2004-1992=12 years

Q: Find an expression for the general term of the Taylor series In(1-3x) = - 3x centered at x 0. M8 n=1…

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Q: Find the maximum rate of change of f(x,y) = ye¯x + xe¯ at the point (x, y) = (0,0) and the direction…

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Q: Make a sign diagram for the derivative of the rational function. f(x) = --Select--- relative max 12…

A: Given data:- The given rational function is, fx=12x2+2x-3

Q: A particle moves according to a law of motion s= f(t), tz 0, where t is measured in seconds and s in…

A: Topic = Algebra As per guidelines , At a time only three sub-parts of a question can be answered.…

Q: Problem 5.5 Chain rule Consider the function w = 4e* In (yz), with intermediate variables x, y, and…

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Q: Evaluate the limit: lim,→ 1-tan x sin x-cos x

A: Topic- Limits We are given, limx→π41-tan xsin x -cos xWe know that,tan x=sin xcos xsinπ4=22cosπ4=22

Q: 6. S x³ √9+ x² dx x = 3 tan 0

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Q: (a) Jessica is playing a role-playing game with her friends. She will roll dice to determine if her…

A: Given a) probability of unlocking the treasure chest is 920. b) The odds against choosing a blue…

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Q: Find the derivative and simplify where possible for the following: a) f(x) = tanh (1 + e2x)  b)…

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Q: 191-21-A 20 VV 10 -2 -4

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Q: Ex 3. For each of the following series, determine the values of x € R for which the series is…

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Q: Consider the function f(x) = 1) Domain in interval notation: 4x16 (x - 1)(x-7) 2) Coordinates of the…

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Q: Graph the solution to the following inequality on the number line. x2>4x

A: We need to graph the solution of the inequality on number line.

Q: Use the rational zeros theorem to list all possible rational zeros of the following.…

A: We need to find possible zeroes.

Q: Calculate the cross product. (3j - 4k) x (8j + k) = ai + bj + ck (Give your answer using standard…

A: To find the cross product of given vectors.

Q: To evaluate x ln(x) dx using integration by parts, what should we set du to be?

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Q: The dye dilution method is used to measure cardiac output with 4 mg of dye. The dye concentrations,…

A: Given ct=29te-0.6t, 0≤t≤10 Quantity of dye is 4 mg

Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

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Q: The volume of a cube increases at a rate of 4 m³/sec. Find the rate at which the side of the cube…

A: The rate at which the volume of a cube is increasing is dVdt = 4 m3/sec To evaluate: The rate at…

Q: Identify the differential equation that produces the slope field below. Y 3 2 1 -1

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Q: In 1940, there were about 10 brown tree snakes per square mile on the island of Guam, and in 1993,…

A: Given data, No. of snakes in 1940 N0 =10 per sq. mile No. of snakes in 1993 N=10000 per sq. mile…