Use the formula f'(x) = lim Z-X f(x)=x²-x+4 f'(x) = f(z)-f(x) Z-X to find the derivative of the following function.

Q: A company manufactures and sells x television sets per month. The monthly cost and price-demand…

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Q: Let f(x) [0, 2π). = To enter , type Pi (with a capital P) sin x. Determine the x-value(s) where the…

A: The given function .The aim is to find the value of  in the interval  for which the function has…

Q: Considering the interval [−2, 4], does the Mean Value Theorem for integrals hold for f (x) whose…

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Q: Find the degree 3 Taylor polynomial T3(x) of function at a 4. T3(x) = f(x) = (3x + 69)5/4

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Q: D. Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

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Q: Determine the convergence or divergence of the series. (If you need to use ∞o or -00, enter INFINITY…

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Q: Which of the following series are convergent? I. 1+1/2² + 1/3² + ... 1/n² + ... II. 1 + 1/2 + 1/3 +…

A: The given series are; 1) 1 + 1/22 +1/32 +...+ 1/n2+...2) 1 + 1/2 + 1/3 +...+ 1/n+...3) 1 - 1/3 +…

Q: What substitution(s) would make the following integral simpler? I.e., simple enough to integrate by…

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Q: 1. Find the equation of the line that goes through the point (1, 5) and is parallel to the line y =…

A: Question No. 1:To find the equation of the line that goes through the point and parallel to the…

Q: Refer to the following figures. In each case, express the indicated trigonometric values as…

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Q: Use series to approximate the definite integral I to within the indicated accuracy. 0.5 I = 600 x…

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Q: j. lim sin x x →0 k. lim sin² x x→0 1. lim sin 3x X-Z 2 m. lim cos³ x X→= 2

A: To find:-(j) (k) (i) (m)

Q: Write (but do not calculate) the integral that gives the volume of the solid bounded above by the…

A: We need to find out the integral that gives volume of the solid bounded above by the surface and…

Q: The original 24 m edge length x of a cube decreases at the rate of 3 m/min. a. When x = 6 m, at what…

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Q: Use the information given below to find sin(a-B). tan a = with a in quadrant 1 12 5' sinB =15, with…

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Q: 4. The financial department of a hospital arrived at the cost function: C(x)=20x³-360x² +2300x-1000,…

A: Given cost function is

Q: For what value of x the geometric series (x-4)" 9n is convergent?

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Q: Determine whether the graph is that of a function. If it is, use the graph to find its domain and…

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Q: Using the Rules for Finding the Derivative of a Function. For the following exercise, assume that…

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Q: 3. Solve (3x + y)dx + (x+2y)dy = 0

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Q: Given the graph of f (x) below, what is the open interval(s) ov which f'(x) is positive? 3 N -8 -7…

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Q: Simplify the following complex fraction; State the domain restriction: 1 X|N 2 1 1 X 1 -

A: To simplify the following complex fraction. To state the domain restriction.

Q: Find the average value of the function g(t) = 1 + t over the interval [0, 4].

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Q: derivative In 2 x-1 2 x+1

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Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.) y =…

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Q: Evaluate the indefinite integral as an infinite series. | arctan(x3) dx ]) + c C ( n = 0

A: The given integral .The aim is to solve the indefinite integral as an infinite series.

Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) =…

A: The amount of carbon-14 present in animal bones t years after the animal's death is given…

Q: 11. Find the absolute maximum and minimum values of each function on the given interval: (a) y =…

A: The given functions

Q: 19. What is the maximum volume of cylindrical tin can that can be made from 750.0 cm² of metal?

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Q: What are the radius and the coordinates of the center of the circle with equation x2 +(y-2)2=30

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Q: x^2) on [0, 1]. A) Find k such that f(x) is a probability density function. B) Find the expected…

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Q: = Find fæ, fy, fxx, fyy, fay for the function f 5 x³ siny+8 y² cosx+3x+7y.

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Q: The estimated change in area is m² (Type an exact answer, using as needed.) The estimated change in…

A: The radius of a circle is increasing from 9.00 to 9.09  mdr=9.09−9.00dr=0.09 mr=9 m

Q: (t²-2t)³ 5t 4. The voltage applied to a 0.25-F capacitor is given by v=- 3.7 s. . Find the current…

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Q: fum of a cide wing Voled vp TH A dx TRIGONOMBTC SUTION Ja-yX-4 dx-aast de Ja². (asing)" (acest do)…

A: We need to dirve the formula of area of circle

Q: mate the average arterial blood pressure over one cardiac cyc

A: We have to find the average blood pressure.

Q: Compute the directional derivative of the following function at the given point P in the direction…

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Q: Estimate the area under the graph of f(x) = 3x³ between x = 0 and x=4 using each finite…

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Q: f 9 csc (2) sec (2) dx Evaluate the integral above by taking the derivative of each answer choice to…

A: We have integrate the given expression

Q: 14. A rectangle has its base on the x-axis and its upper two vertices on the parabola y =12-x². What…

A: The second derivative test states thatWe use this to solve the given problem.

Q: b) 9-x² x²+4x+4

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Q: 56. The length of required to enclose a rectangular field is 3000 meters. What are the dimensions of…

A: Let the length of the rectangular field=x mLet the width of the rectangular field=y mThe figure of…

Q: List the first five terms of the sequence. a1 = 5, 2n + 1 2an +4 а1 а2 аз ад a5

A: To list the first five terms of the following sequence.

Q: A1. Milk or meat production Y per day is best explained by the inputs: feed needed per day in kg,…

A: The objective of this question is to determine the Lagrangian, find the First Order Conditions…

Q: 4x Suppose that Σε (9+ x) n=0 Find the first few coefficients. =

A: 4x(9+x)=∑n=0∞cnxnWe know that the Mclaurin series of 11+x11+x=∑n=0∞(−1)nxn

Q: Find the area of the region that lies above the x-axis, below the curve x = =t² + 5t+3, y = e with 0…

A: Given that the region that lies above the x axis, below the curve  with

Q: how much is 2*2

A: The question is asking for the product of 2 and 2.

Q: 2x³+x²+x+1 x→∞0 4x³-x²-8 √x²+x+1 lim x→∞ √4x²+3 k. lim 1.

A: K) limx-infinity (2x3+x2+x+1)/(4x3-x2-8)I) limx-infinity +x+1)/sqrt(4x2+3)

Q: 100. Given that f₁² xdx = 11/1, 2 S₁² x² dx = 2 1/37, and ₁² x³ dx = 1, 3 4 Compute ¹ (1 - x)² dx

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Q: tanh x = e²t - 1 e²x + 1

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