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Q: a) Find the domain of f(x) 4x² x + 3 1. All real numbers except x = 4 2. All real numbers except x =…

A: a)   f(x)=4x2x+3for domain,    x+3≠0

Q: Tutorial Exercise Find the area of the zone of a sphere formed by revolving the graph of y = √16 -…

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

Q: Let f(x) = 3x + 8, x₁ = 1, X₂ = 2, X3 = 3, x4 = 4, and Ax=1. 4 (a) Find Σ f(x;) Ax. i=1 (b) The sum…

A: use limit of sum amnd function property.

Q: 3 ¹/²₂ (62²¹ +42²) dæ Find Question Help: Video Message instructor Submit Question Jump to Answer

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Q: Can you please evaluate part IV and V? Can part b and c also be completed?

A: We have find the integral of  4) ∫x4 exdx5) ∫x5 exdx

Q: Compute T₂(x) at x = 0.5 for y = e² and use a calculator to compute the error |eª — T₂(x)| at x =…

A: Let's find Taylor series and error.

Q: A grain storage building is a hemispherical shell with a radius of 30 meters. a) What is the volume…

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

Q: 7 Given that f(x) dx 7 evaluate f(x f f(x) dx. = 5 and 5 f f(x) d dx = 4,

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 5 for f(x) = ln(x + 1). T₂(x) =…

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Q: The region in the first quadrant bounded by y = 2x², 5x + y = 7, and the y-axis is rotate about the…

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Q: 14. What is the average value of the function f(x) = cos²(x) on the interval [0, π] 1

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Q: Use integration by parts to evaluate the definite integral. ('in In(1 + 8x) dx Need Help? Read It…

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

Q: A particular computing company finds that its weekly​ profit, in​ dollars, from the production and…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 3. In an experiment, the time (in seconds) needed to empty a column of water is, where h (in cm) is…

A: Here we have  t = (c√h)/d2 Let m = c√h Then t = m/d2 And if x = 1/d2  Then t= mx

Q: Determine the intervals on which f is increasing or decreasing, assuming the figure below is the…

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Q: $ Σ (-9)"! is The series n=1 nn Absolutely Convergent O Conditionally Convergent O Divergent O…

A: As per guidelines,  I can answer maximum one question.  Since you have asked for multiple question,…

Q: T-= (0) ¹r7 = fixg + fi 2. Solve the IVP

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Q: Set up and evaluate the integral for the area of the shaded region. y=11-x y=121-x² Q Set up the…

A: Let's find area by using integration.

Q: Find the absolute maximum and minimum values of the following function on the given interval. If…

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Q: of 1² = = dz 15 is The value of

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Q: Find the arc length of the following curve on the given interval. x = 6t³, y = 9t², 0≤ts √3

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Q: 17. Which of the following substitutions is best for the integral [ best for the integral + 25 dz dx…

A: Solve the following

Q: maximum profit and the number of units that must be produced and sold in order to yield the maximum…

A: Given query is to find the production level for maximum profit.

Q: A company's revenue from selling a units of an item is given as R = 1100x - x². If sales are…

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Q: 5.° x³ (x4 + 9)² dx

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = x²ex -…

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Q: 1 x4 - x³ + x² increasing? Find all intervals where the function f(x) = = 4

A: To find the intervals where the given function is increasing

Q: The function f(x) = 0.02x + 100 represents the rate of flow of money in dollars per year. Assume a…

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Q: The domain of the function ʼn graphed below is all real numbers, and all of its extreme values occur…

A: According to the question,Given Function,y  = hx

Q: plify the following expression using laws of set theory (AUB)U(AUB)

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Q: QUESTION 4 State the general anti-derivative of f(x) = -√x F(x) = - 5 x² +C 3 ○ F(x) = -√√x³+C x ) =…

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Q: 11. F(x, y, z) = yi+zj+xk S is the part of the plane x + y + z = 1 that lies in the first octant,…

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Q: The graph shows the number of fatal automobile accidents in a certain state for various years.…

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Q: Use the root test to determine whether the series Since lim n→∞ = 2 n=1 6n n6.3n+1 converges or…

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Q: A bucket of water of mass 20 kg is pulled at constant velocity up to a platform 35 meters above the…

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Q: QUESTION 1 - Evaluate the following integral: 10r² + 81 − 8 dt 40 40/3 80 80/3 0

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Q: = √² (1³ + 3t² + 7) dt √ If f(x) = then f''(x) = Question Help: Video Message instructor

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Q: Match the Taylor polynomial approximation of the function f(x) = e-x/2 with its graph. g(x) = x² + 1

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Q: accidents in a certain state for various years. Estimate the total number of accidents in the 8-year…

A: for right endpoints Number of accidents  =△x( f(x1)+ f(x2)+ f(x3)+ f(x4)  )=2 ( 2130 + 2390 + 3621 +…

Q: Find the area between the curves. x = -5, x=2, y = 7x, y=x²-8 The area between the curves is…

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Q: Question 5: Find the volume of the solid under the surface z = 2x + y² and above the region bounded…

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Q: Calculate the definite integral by referring to the figure with the indicated areas. Area A = 1.21…

A: Please see the below answer.

Q: Revenue, Cost, and Profit Yaster Electronics manufactures and sells a televisions per month. The…

A: Profit

Q: lim X-X 3-C 3+C 2

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Q: give the general solution of (3x^2-2y)dx+(x^3lny+x)dy=0

A: (3x^2-2y)dx+(x^3lny+x)dy=0

Q: Evaluate the definite integral. (₁ sin(2t)dt

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Q: Car 1 is heading due south from Math-town at a rate of 40 miles per hour. Car 2 is heading due west…

A: One car moves south and the other car west. The angle between southand west is π2.

Q: Find the first five non-zero terms of power series representation centered at x = 0 for the function…

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Q: Marginal Profit Yaster Breakfast Supplies is planning to manufacture and market a new toaster. After…

A: The given question is of Marginal Profit.

Q: Write the arithmetic sequence −19,−10,−1,8,... in the standard form

A: