2 √x (x + 1) ² dx dx =

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A: Please see the below picture for detailed solution.

Q: X -4 -2 0 2 4 36 6 10 0 -10 -6 ind h(f(g(0))) X ind k(3) if k(x) = . -3 -1 0 1 3 x²g(x). g(x) -7 -5…

A: f(-4)=6 f(-(-4))=f(4)=-6=-f(-4) same for other values of f(x) hence f(x) is odd function    g(x) is…

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Q: Was this answered?

A: Given:- At=2.3sinπ6t+9.25 ⇒At=The average monthly rainfall in centimeters

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A: Given that , fx=x6-2x , gx=x2+4x-59 , hx=2x-11 and mx=fx·gx , nx=gxhx

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A: Here is the solution:

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A: f(x)=cos(3x)d dx(sinx)=cosxd dx(cosx)=-sinx

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Q: 1. Find the length of the arc of the curve 3 (2 x − 1)² from x = 0 to x = 8 - y = 32/2 (2x

A: Given :y=2322x-132

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A: The final answer  A = 2.21875 sq units

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A: Consider the function f(θ)= 7sin2θ-7cosθ.  a) Find f' b) Find the critical points on the interval…

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Q: What region R in the xy-plane maximizes the value of (1-2x² - y²) dA? R R is the set of points (x,y)…

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Q: Let f(u) = √u and g(x) = u = 4 + 9x². Find (f o g)'(3). (fog)'(3) = (Type an exact answer.)

A: f(u)=u3g(x)=4+9x2(f∘g)(x)=f(g(x))

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Q: 2. Determine whether the series is convergent or divergent. If it is convergent, find its sum. ܐ 5…

A: The Series ∑n=0∞arn is called geometric series and the geometric series a is the first term and r is…

Q: Find the exact absolute maximum and absolute minimum of h(t) = cos(2t) + √3 sin(2t) on [0,1]. Show…

A: h(t)=cos(2t)+3sin(2t)for critical points, put h'(t)=0d dt(sint)=costd dt(cost)=-sint

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A: From the given graph we can conclude as

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Q: 1. Find the length of the arc of the curve y = 2²/23 (3x − 1) ³ from x = 0 to x = 7 33

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A: We have to slove above question  Determine the maximum/minimum point

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A: The Power Rule: ddxxn=nxn-1 The Chain Rule: fgx'=f'gx·g'x And Use the common derivative. ddxex=ex…

Q: 4. Find the exact and the approximate value of x: 2* = 5*-1. Round answer to three decimal places. N

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Q: Consider S, the curve segment of the curve y = sin(x) from x = 0 to x = π. (a) Complete the…

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Q: Find the derivative

A: Given: h(x)=(x-3)e5x-7x4

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Q: Use the function below to answer the following questions. f(x) = x 12ln(x + 3) on the interval 0 ≤ x…

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Q: Find an equation of the tangent line to the curve at the given point. f(x) = 4x²-x³, (1, 3) y =…

A: Solution: f(x)=4x2-x3, (1,3)

Q: e + Ax = A= + cx Solve for y:

A: