At what points c does the conclusion of the Mean Value Theorem hold for f(x) = x³ on the interval [-7,7]?

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = 1 X+8,a=1 OA. P3(x) = -1/- x-1…

A: Use derivative for finding the taylor polynomial.

Q: Problem 4. Part (a) Part (b) 5 ln(3-x) = 4 Do both parts. Write the sum using sigma notation:…

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Q: Evaluate the integra 4 X - 5 /1

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Q: 22. Differentiate. y = asinh x

A: Given,  y=xsinh x

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A: To find the linear approximation of the function fx, y=lnx-3y at the point 7, 2.

Q: Let f(x,y) = 4(x + 1)²(y - 1) - y² - 8x²-16x + 2y - 18 (i) Find the sum of all x- coordinates of the…

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Q: A company selling baseball gloves has fixed costs of $1800, and it costs an additional $23.71 to…

A: This question is related to Cost and Revenue function, we will solve it using given information.

Q: 42. If g(0) = 0 sin 0, find g"(π/6).

A: Solve the given

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Q: 4.0 mR/h = A. 0.004 R/h B. 0.04 R/h C. 400 R/h D. 4000 R/h

A: Problem statement is not given so considering unit conversion by given options.

Q: Find the sum of the first 125 positive even whole numbers.

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Q: f(#n) for For the function f(x) 3x +1, write Newton's formula as , 1 - F(En) f'(an). solving f(x) 0.…

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Q: 8) Find the unit tangent and unit normal vectors T(t) and N(t) for r(t) = (t, t², t²).

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Q: Current Attempt in Progress Evaluate the definite integral. e i + e='j+t k )dt

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Q: The MAIN use of Newton's Method is to: OFind the roots/zeros of a function O Find the derivative of…

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Q: State the inputs and outputs for arcsin (also stated as sin¹). Explain why the angles for this…

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Q: Let f(x) = 25 x The slope of the tangent line to the graph of f(x) at the point (–6, – 25) is The…

A: All the answers are given below

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Q: x²+x dx (x²+1)(x+2)

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Q: Question 7  A business spends $80,000 on Marketing, $100,000 on R&D,  and $ 12,000 on Expenses.…

A: We have to find the ratio between spending.

Q: Use Newton's method to approximate a root of the equation z + c + 3 - 0 as follows. Let I, = -1 be…

A: Let's find.

Q: Solve the system using Cramer's Rule. - 6x + 6y3z = 15 x - 2y + z = 7 4x5y4z = - 28 Find the…

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Q: Find the area of the shaded region. 2 -1 square units y=x+ - 2x³ y=0

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Q: The graph of a function f is given. Use the graph to estimate the following. y 5 (a) All the local…

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Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 27 and with its…

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Q: Solve the given differential equation by undetermined coefficients. y'' + 5y = −180x2e5x y(x)=

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Q: construction company will be panalized each day of delay in construction for bridge. The penalty…

A: Given the query is to find the maximum possivle days for delaying.

Q: 2.Figure out the following = 2t2 +Int, t>0 dy. = cos(t – 1) c.f(z) =| -1|,9(z) =| 1.f'(1)?g/(0)? ?…

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Q: Identify and sketch by hand the graph of the quadric surface 25r2 – 25y? – 9z2 – 150r + 200 = 0. You…

A: An equation is given                              25x2-25y2-9z2-150x+200=0We have to identigy and…

Q: 2) Sketch the curve with the vector equation r(t) = costi- costj+ sin tk. Show the direction of…

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Q: What two nonnegative real numbers with a sum of 66 have the largest possible product? The numbers…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: St-1.0t vemos anoitasu) InemzeozeA B C E M N K JH G Identify each of the following in the figure…

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Q: 22// use the tests indicated in front of each of the series ollowing to determine if the series…

A: 1. Summation of (k+1)/(k2-1) from k=2 to infinity.  2. Summation of 1/(5k+1) from k=1 to infinity.

Q: + + Find the area of the portion of Sphere x² + y² + 2 = 9 betw= the planes Z=1 and 2 = 0. Draw

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Q: approximate sin 85° Sin a to 4 decimal poths. Compart to ne exact value if you using P(x) of me…

A: Here, to find the Taylor polynomial of the function f(x)=sin x around the point a=π2 which is given…

Q: Find the area of the region enclosed by the inner loop of the curve. r = 2 + 4 sin ?

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Q: Select the conic section represented by the equation. 4x 2 + 3 y 2 - 2 = 0 parabola point ellipse…

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Q: Consider the space curve r(t) = (cost cos 2t, cost sin 2t, sin t). (a) Find r(t).

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Q: Consider the polar curves Cı :r = 3 sin 20 and C2 : r = 3 cos 0, and let R be the shaded region as…

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Q: find a formula for the function passing through (-1,5/3) and (1,15).

A: Solution: Given : (-1,5/3) and (1,15) We know the exponential function of the form f(x) = aebx

Q: Find all zeroes of f(x) = 4x² - A) --/1/201 B) 1 3x² - x. Check all that apply.

A: f(x)=4x4-3x2-xZeros:4x4-3x2-x=0x4x3-3x-1=0x4x3-4x2+4x2-4x+x-1=0x(4x2(x-1)+4x(x-1)+1(x-1))=0x(x-1)(4x…

Q: Calculate the work expended when a particle is moved from 0 = (0,0) to Q = (4,4) along the segments…

A: Solved below

Q: B) Find the number of bacteria after 5.5 hours.

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Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Begin with the Maclaurin (Taylor) series: cos r = 1 - 2! 4! 6! (a) Evaluate cos 0. (b) List the…

A: According to the guidelines, we are instructed to answer 1 question or 3 sub question,the others can…