Find the area bounded by y = x - 14 x²1x - 72¹ x = 3,x=6, and y=0. (Round the answer to four decimal places.)

Q: dy x²-3xy² Given = dx 3x²y-6y²-1 determine the function f. and f = f(3xy² - x²) + g(y); y = constant

A: Mdx + Ndy = 0 ----?(1)is exact,

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A: It is given that, .Difference Rule:If exist, then the limit of difference is .

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A: Here the graph of the quartic function is,We have to find the quartic function plotted in the graph.

Q: Question 12 ▼ Perform Basic Vector Operations Given a = (-2, -3) and ₫ = (−10, −6), find —ā + 5ā. -ā…

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Q: 2. f (x) = x² +1, g(x) = 4x+1. Find the solution set: A. f(x) = 0 B. f(x) > 0 C. f(x) = g(x) D. f(x)…

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Q: 29-32. Average and marginal cost Consider the following cost functions. a. Find the average cost and…

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Q: Find Unit Vector Find a vector (u) with magnitude 4 in the opposite direction as 7 = (4, -1) Give…

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Q: 27. f(t) a = 9, 4

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Q: Q-1: Solve the given equation for x and check your answers |4x + 3| = |x - 61

A: Rewrite the absolute value equations without absolute values .

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Q: The angle between 0° and 360° that is coterminal with the 2018° angle is degrees.

A: Given dataCoterminal

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Q: Find the vertical asymptotes of the function below. -9m²-4m- (m²-25) f (m) Show your work here = m =…

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Q: Find the derivative of the function. f(t) = arccsc(-8t²) f'(t) = =

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Q: The partial fraction decomposition of g(x) x²+4' f(x) x + 3 + where 14x + 3 x³ + 3x² + 4x + 12 can…

A: Partial fraction decomposition of 14x+3x3+3x2+4x+12

Q: Graph y = f(x - 3). $(2x). Graph y = -f(x). Graph y = f -5 (-2,-1) (-4,-3) YA -4 [(0, 0) (3, 3) 5 X…

A: All the graphs below are drawn by free hand. So, there  is an error in the diagram. Please ignore…

Q: Suppose x = 16, y = 30 and z = 34 in the figure, which is not drawn to scale. Find the following.…

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Q: uppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given…

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Q: Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%.…

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Q: Find the particular solution of the differen- tial equation: (x² + y²)dy=xydx, given that x=1 when…

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: Find g'(4) given that f(4) = 3 and f '(4) = −5. g(x) =√x  *f(x))

A: f(4)=3, f'(4)=-5g(x)=sqrt(x). f(x)find g'(4).

Q: 34. f(t) = 6√√t – 4t³ + 9

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Q: Given the equation: 2x2 + 2y 2 + 12x -8y - 3 = 0 Use completing the square method to first convert…

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Q: 1. Find the solution of the d.e. x²y" - 2xy' + 2y = 4x³ which passes through the point (1,4) with…

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Q: 12. Find two points on the line exactly 13 units apart. ở = (-1,1) + t(5,−12).

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Q: https://www.myopenmath.com/assess2/?cid=112497&aid=8065477#/skip Question 16 Find Unit Vector Find a…

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Q: The half-life of strontium-90 is 28 years. Suppose we have a 44 mg sample. (a) Find a function that…

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Q: 47. Matching functions with derivatives Match the functions a-d in the first set of figures with the…

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Q: Find the absolute extrema of the function on the closed interval. y = 4 cos x, [0, 2π] Step 1 The…

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Q: Use the Second Fundamental Theorem of Calculus to find F'(x). = [₁₂√₁4 + 1dt t4 F'(x) = F F(x) = X

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Q: You are going to make an investment with an 8% APR compounded continuously. In ten years, you want…

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Q: Use the Chain Rule to find az/as and az/at. z = tan(u/v), u = −8s +4t, V = -2s +9t

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Q: Find T, N, and k for the plane curve r(t) = (8t+ 9) i + (9-t³) j T(t) = (i+j (Type exact answers,…

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Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function…

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Q: Select the correct solution sequence -4 lim x →∞ lim(–45) x →∞0 = −4 lim x →∞ -4 lim( X-8 -2 lim(e*)…

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Q: Evaluate the following limit: lim_x(ln(4x))² = x→0+ M

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