Below is a graph of two curves: x = y³ - 3y (the S-shaped one in blue) and x = 5-y (in red). Which definite integral should you use to compute the area enclosed by these two curves?

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Q: Find the area of the region bounded by the curve y = f(x) = x³ - 4x + 1 and the tangent line to the…

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A: solve the problem by finding the value of the expression.

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A: For  a function y=f(x) defined in the interval a,b we find the value of the function at x=a, x=b and…

Q: 3.a) Find dx y = ln(2x - 4√x). b) Find dx y = ln(In(sinx))

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A: We have to find limit here.

Q: Find the area of the region that lies inside both curves. r₁ = 4 sin and 72 = 4 cos 0 OT+4 0 +1…

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Q: 2√2x-x² 1. S S 0 0 5√√x² + y² dydx 2

A: Given integral:- ∫01∫02x-x25x2+y2dydx

Q: Find the absolute maxima for the function: f(x) = 6 x+ sin (6 x) on the interval [0, 2 π].

A: We have  fx=6x+sin6xx∈0,2π

Q: Find the 36th derivative of f (x) = sin2x. Enclose arguments of functions in parentheses. For…

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Q: Find the derivative of the function. f(x) = (tan³(x) + 2)² f'(x) = [] X

A: to find the derivative

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Q: If 2=3xy-y³+(y²-2x)*, .. हे है джду дудо verify друз

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Q: 4. Evaluate the following limits. 3x+1 a. lim x⇒-2 2-x b. lim x³+27 X-3 x+3

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Q: Express the number as a ratio of integers. 0.59 = 0.59595959... Need Help? Submit Answer Read It…

A: The objective is to express the number as a ratio of integers .

Q: Write the polynomial p(x) = x³ - 3x²+x-9 as a Taylor polynomial centered at 20 = 1.

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Q: . Find the centroid of the plane region bounded by the graphs y = 2³ and 2 = y².

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Q: wing function, find f'(a). n equation of the line tangent to the graph of f at (a, a=4

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Q: Please answer this question asap I will rate you for sure. find integral of…

A: The solution is shown below-

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Q: Calculate where is the ellipse 7 fx dy + 1 6² (a> 0 and b>0) counterclockwise.

A: Given that ∮γxdy where γ is the ellipse x2a2+y2b2=1 (a>0,b>0) counterclockwise

Q: Use series to approximate the definite integral to within the indicated accuracy: 0.7 sin(x³) dx,…

A: I have solved step by step in detail...go through the solution

Q: Find the derivative of the given function. (Remember to simplify the numerator of your answer, but…

A: z(t)=t2+5t+2t+7d dt(tn)=ntn-1d dt(ab)=b×dadt-a×dbdtb2

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Q: Find f'(x) if f(x) = x cos (x²) dy inddx _y=²csc(√x) b) Find

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Q: 1. (a) (b) (c) Find the general indefinite integral. f(x. (x + tan x) dt 1.9 [(e² +x¹.⁹ + 7x².5) dx…

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A: Here we have to find the rate of change.

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Q: a) Find dB dp B = P(1 + 100) dB dp dB dr at an assuming r and t are constant. Use lower case…

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Q: Answer 1. The position function of an object is given by s(t) = t³ - 15t² +63t, where time, t, is in…

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Q: (a) by interpreting it in terms of areas. Show the graph! (b) [VI6=240 f(x- (x + √81-x²) dx

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Q: 7. Find d when 5x² +3x³y -3y³ = 44. Write an equation of the tangent line at the point (2,2).

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Q: Use the piecewise defined function below to answer the questions. X ≤ -4 -4 < x < 4 x ≥ 4 X 12| q(x)…

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Q: y = g(x) on [-3, 4] is given by the following curve, which is composed of two line segments and a…

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Q: Consider the function f(x)=x^3e^8x,−3≤x≤1 The absolute maximum value is = and this occurs at x…

A: Here we have to find the absolute extrema.