Find the area between the curve y = x3 - 6x2 + 8x and the x-axis. Answer: 8 sq. units

Q: If F(x)= S.. 2 F'(x) = tan(t) dt, compute F'(x).

A: Find F'(x) where F(x) is an integral of t

Q: Let y = [] and u = Into A enter UTU. Into B enter UUT. Into C enter projwy. Into D enter (UUT)y. IS…

A: We have to find (UUT)y and UTU.

Q: Consider the region on the first quadrant bounded by the line y = x, x- axis, and the circle x² + y²…

A: Please see the below picture for detailed solution.

Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. √(x²x²…

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Q: 17. Show that each of the following statements is true. a. b. log 15 a d. C. log, a log, a + = log,…

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Q: 2. Find the area between the curve y = x³ - 6x² + 8x and the x-axis. Answer: 8 sq. units

A: The objective of the question is evaluate the area of the given curve.

Q: The population of a city is 85,000. If the population is declining by 2% per year (not a continuous…

A: Given initial popiulation of the city ( P0 ) = 85000 If the population is declining by 2% per year

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Q: ou've decided to sell sweatshirts for the upcoming game. You project that at a price of $30.51 per…

A: We need to find price.

Q: Consider the following table, and assume that f(x) and g(x) are differentiable fund as given. X 1 2…

A: Given query is to find indicated derivative.

Q: 3 Given: sec = and 270° < x < 360° 2 What is the value of cos (?

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Q: What is the following limit? lim h→0 √15 + h-√15 h

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Q: 1. Find the area bounded by the parabolas y = 6x-x² and y = x² - 2x. Answer: 64/3 sq. units

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Q: integral [x³√x² Evaluate the integral √x-2 dx.

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Q: Write the given (total) area as an integral integral or sum of integrals. The area above the x-axis…

A: The area between the curves y=16-x2 and y=0  (x-axis)

Q: = f(x + Find +6)(x − 2)dx + C

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Q: Q3 :A company manufactures and sells x smartphones per week. The weekly price demand and cost…

A: NOTE: Refresh your page if you can't see any equations. . the demand and cost functions are

Q: 121 121 suppose that Σα; = -13 and Σ b; = 23. Compute the sum. i=1 i=1 121 Σ ( – 28α; - 2b;) i=1

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Q: [ Evaluate the given definite integral. [x³(2x+-1)³ dx Upload Choose a File Question 9

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Q: On the axes below, sketch the graph of a function f(x) that satisfies all of the following…

A: There can be many graph satisfying above condition.Below is one of them

Q: Assume A, B, C, D are all nonzero real numbers. Then Ax² + By² + Cx+ Dy = 0 is an equation of a…

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Q: The half life of a substance is 49 years. If there are 220 mg present now, how much will remain in…

A: The half life of a substance is 49 years. If there are 220 mg present now, then to determine the…

Q: Photosynthesis The rate of primary production refers to the rate of conversion of inorganic carbon…

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Q: dw Ət write the actual Chain Rule and then find all the partial derivatives and plug them into the…

A: Given that w=x2+exy, x=set, y=st. We have to find ∂w∂t.

Q: Find the area of the shaded region. Round your answer to three decimal places. 0.6 04 0.2 0 -0.6 A…

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Q: SC₁ F. dr. (Check the orientation of the curve before applying the theorem.) F(x, y) = (y cos(y), x…

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Q: If we have the function f(x) = sin(x), consider the second degree Taylor polynomial of f(x) centered…

A: We need to find out the absolute difference between the given Taylor polynomials.

Q: Question 5 Find the indefinite integral. 4x dx

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Q: Which is a central difference? O [f(b)-f(a)]/(b-a) f'(a) [f(a+h)-f(a-h)]/(2h) O O [f(a+h)-f(a)]/h O…

A: Given that we need to find the formula for the central difference from the following.

Q: Find the La Place transform of the function f(t) = t cos t S (s² + 1)² s² + 1 (s² + 1)² a. b. C. d.…

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Q: Obtain the general solution. (HOMOGENOUS EQUATION) 1. 2(2x² + y²)dx - xydy

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Q: A particular solution of y" + 2y' + 5y = e sinx 4 elsinxcosx) 13 13 2 sinx + cosx) 65 a. b. ex (355…

A: we will find the required.

Q: 36 Σ 60(i2 – 9i + 1) i=1

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Q: Find the Laplace transform of the following functions. 9. f(t) = e²t√1 + sin2t

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Q: 5.5 2 dh 16 | s = $ dt

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Q: Click the best answer 10 y = (x+3)²(x² + 1) 0 0

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Q: For this function there are two important intervals: Consider the function f(x) = 8(x-4)²/3 (-∞, A)…

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Q: Find f'(x) if f(x) = = (2 sin³ x + 7) (lnx + 1) 5r3+4

A: Solution to find the derivative for the given function is as follow .

Q: If cos 0 should O QI O QUI O QIV O QIII 0 and csc 0 < 0, in what quadrant lie?

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Q: Solve using Lagrange multipliers. (The stated extreme values do exist.) A one-story storage building…

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Q: Determine all values of x at which the function is discontinuous. f(x) = x²-3x rẻ -5 +6

A: Topic = Functions

Q: Consider the following table x f(x) g(x) f'(x) g'(x) 02 5 0 2 11 -2 3 0 24 4 1 -1 33 -3 2 3 03 What…

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Q: Find the absolute maximum and minimum values of each function over the indicated​ interval, and…

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Q: (a) f(x) = Determine the absolute extreme values of 5 if x ≥ 3 3x - 5 -3x+5 if x < 42:3³ + 108 انت…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The hourly cost (in thousands of dollars) of producing units of a product is given by C(x) = 400√² +…

A: given  c(x)=400x2+2xmarginal cost=c'(x)dxndx=nxn-1

Q: Evaluate the indefinite integral. 8 sinº (x) cos(x)dx = + C

A: Evaluate the indefinite integral :     ∫8 sin6(x)cos(x) dx

Q: Given the function graphed below, evaluate the definite integrals. 4 3 2 1 -1 [ 4 -1 -2 -3 f(x) dx 1…

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Q: For f(x) = *(r² - 5t + 7) dt, compute ƒ'(x). 0 X

A: given function f(x) = ∫0xt2-5t+7dt          then we have to find f'(x)now ,f(x) =…

Q: A sheet of paper 84 cm-by-64 cm is made into an open box (i.e. there's no top), by cutting x-cm…

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Q: Click the best answer * 2 y=−(1+x²)(2+x²) -1 -3 0 -4 3

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