QUESTION 16 A line integral in two dimensions may be written as F(x, y)dw. What does (i) F(x, y), (ii) C and (iii) dw represent?

Q: 2. a) Find the average value of f(x) = x", where n is a positive integer, on the interval [a, b]. b)…

A: We have to find the average value and use mean value theorem.

Q: Use the chain rule to find the derivative of 4√/5x+3x6 Type your answer without fractional or…

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Q: For which of the points on the curve x2+y2−4=0 does the slope of the tangent not exist? a.(√3,1)…

A: The equation of the curve x2+y2-4=0 We have to find the point of the curve, for which slope of the…

Q: Solve trignometric equation a) cosetan e-cost=0 b) cos(2x)-gnx = 0 for 0≤x≤ 1/2

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Q: The following problems involve f(x) = 3x¹ − 8x³ - 66x² + 144x + 400 1. Find the relative extrema of…

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Q: Problem 3. indeterminate form. Follow the directions to find the limits in non-standard -x (a) lim…

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Q: Which one of the following graphs fits the descriptions given about an open interval containing…

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Q: Suppose the inverse of a matrix  A  is a matrix  B, and vice versa, the inverse of  matrix  B  is…

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Q: Find the indefinite integral. (Use C for the constant of integration.) [x² x cos 4πx² dx

A: Given: I=∫xcos4πx2dx   ...1   Use the common integral: ∫cosxdx=sinx+C

Q: Find a formula for the general term an of the sequence (starting with a₁): 1 1 1 1 6' 12' 18' 24' an…

A: Given is to find the formula for nth term

Q: A point is moving on the graph of 3x³ + 5y³ When the point is at P = = xy. its y-coordinate is…

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Q: Problem 4. number, using the following steps. In(x) xxx0.01 (a) Compute lim (b) Compute lim In(x)…

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

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Q: dy da An equation of a curve is given by x ln y + y = 1. Which one of the following is Select one…

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Q: Prove the identity. (1+sin.x)² cos²x Note that each Statement must be based on a Rule chosen from…

A: CONCEPT USED Pythagorean trigonometric identities in trigonometry sin2x+cos2x=1socos2x=1-sin2x…

Q: 3. The score of a test given as a percentage is given by S(t) = 50+ 14ln(t + 1), where t s equal to…

A: given s(t)=50+14ln(t+1) here  s(t)=score of test as a percentage t=hours a student studied for the…

Q: 1 2. Find all critical numbers of ƒ(x) = x³ + x¹ −4x³+3. Classify each as a local max, local min, or…

A: On solving this we will get

Q: QUESTION 2 In the figure below a = (3,1,0) and b= (2,5,0) X Z B TO If 0 = π, what are both a b and a…

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Q: Find the absolute min and max values of each function on the given interval. f(x) = x³ - 6x² - 15x +…

A: Given function f(x)=x3-6x2-15x+1

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: K Find the lines that are tangent and normal to the curve at the given point. x²y² = 64, (-1,-8) The…

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Q: Determine if the series converges or diverges. k² 100 12t k k=1 (a) Converges (b) Diverges

A: Given query is to find limit converging or diverging.

Q: Find the indefinite integral. (Use C for the constant of integration. [x² x cos 7x² dx

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Q: 2. y" + 3y + y = (2-6x) cos x - 9 sin x

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Q: 10 Monday lim 20 315 5 에요 글

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Q: 9. Use the properties of logarithms t a) f(x) = ln (e-2x) + 3x + In b) f(x) = ln (²) + ln 4 − elnx -

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Q: 10. A house purchased for $430,000 appreciates at a constant rate of 8% each year (i.e, annual…

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Q: C Suppose a company's revenue function is given by R(q) = q³ + 280q² and its cost function is given…

A: Part A) Write the profit function Pq as the given cost function Cq=290+12q subtracted from the given…

Q: Let f(x) = 9x5 - 7x5. (If an answer does not exist, enter DNE.) (a) Find all critical values of…

A: The given function fx=9x6-7x5. We have to find the critical points and increasing and decreasing…

Q: Calculate the derivative of the function. s'(x) = s(x) = 6x + 8 7x - 1

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Q: y"" - 4y"+y+6y=0

A: Given :y'''-4y''+y'+6y=0

Q: Find the local quadratic approximation of f(x) = x³ to find the approximation of 1.03³ at xo = 1,…

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 Σ1 4 + 1…

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Q: Indicate all critical points on the graph of f in the figure below and determine which correspond to…

A: Need to write down the critical points.

Q: π 5) Find the exact value of sec- 8

A: Consider  secπ8   Formula  secx=1cosx

Q: В С -10-2 -6 -2 1 5 13 2 69 3x + 2y = 4 >+ X

A: We have to find out

Q: System of linear equation + 2y + 2z = 12 X 3х - зу x by -3y - 2z = -9 +y +2₂=7

A: Given : Gauss-Jordan Elimination method

Q: (a) In(a + b) In(a)In(b) for all a,b > 0 OTrue False (b) In(a-b) In(a) + In(b) for all a,b>0 OTrue…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Suppose that 2 J of work is needed to stretch a spring from its natural length of 32 cm to a length…

A: Let's find spring constant, work.

Q: Write an equation for the polynomial graphed below. +'? -4 f(x) = 8 7 6- 5 4 3 2 ņ m A -5- OA -6-…

A: Write the equation of the polynomial

Q: find the second derivative of the function

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Q: Find the indefinite integral. (Use C for the constant of integration.) Sinces In(e8x - 5) dx

A: Here we have to find the integral.

Q: Suppose that the derivatives f'(z) and g'(z) exist. Show: f(z)g(z)-g' (z)f(z) g²(z) b) [f(g(z))] =…

A: Let f(z) be a differentiable function. Then the derivative of a function is defined as…

Q: 1) If the angle of elevation of the sun is 63.4° when a building casts a shadow of 37.5 feet, what…

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Q: f(x) = (x+4)(x+2)(x - 1)(x-4) 9-6-6-of-, X 100 06 80 70 60 50 lob of L & E 08 10 01- -20 of ob os.…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 3n 201 3n…

A: Use the comparisonn test

Q: Find an equation of the tangent plane to the given surface at the specified point. Z = = 4(x - 1)² +…

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Q: Write a polynomial with degree 4 that has a zero at x = 3i, and a zero at x = 5 with a multiplicity…

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Q: QUESTION 12 Interpret lim 4xy² along x = (x,y)-(0,0) x²+3y4

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Q: Find the slopes of the curve 3 4 irve y4=y2-x² at the two points shown here. 1 2 √3 2 Q 57 The slope…

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