Given y = f(u) and u = g(x), find dx = f'(g(x))g'(x) for the following functions- y = sin u, u = 4x - 5

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Q: 6) lim Vx 0+ f (x) f (x) -0.5 0.5 -0.1 0.1 -0.01 0.01 -0.001 0.001 -0.0001 0.0001

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Q: L = of €2.10 %3D 6

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Q: Find lim_f(x), if it exists. If it does not exist, explain why. X--4"

A: Follow the procedure given below.

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Q: 3. lim f(x) = -2, lim, f(x) = 2 and f(2) = 0 4. lim f(x) = +0, g, f(x) = -0

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Q: 00 n Does the series (-1)"n*=| converge absolutely, converge conditionally, or diverge? n = 1 Choose...

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Q: Find frxx and fryx for f(x, y) = xty² – x³y.

A: We will find the partial derivatives. 

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A: Given:- y=x3/3 +x2 -24x+25  To find:- Relative maxima Relative minima  Horizontal points of inflect...

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Q: Find the Taylor series generated by f at x = a. f(x) = 2*, a = 3 Choose the correct answer below. 8(...

A: Taylor series of a function f(x) about x=a is given by, f(x)= ∑n=0∞an(x-a)n , where an=fn(a)n!, wher...

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Q: Perform the following operation with the vectors а3(2. о, з>. ь-(з. 1, 2) %D |2a– 3b|

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Q: Let g(x) = -1/x2. Evaluate lim g(x) x→0 by drawing its graph. a. ∞   b. 1    c. 0    d. -∞

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: (b) y = e-u cos(u) dy = -e"sin(u) – e"cos( u) os u

A: The given function,  y=e-u cos(u)

Q: 11. Verify that the conclusion of Clairaut's Theorem holds for the function: f(x, y) = e*Y sin(y)

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Q: A. ā xb = b x ā B. Jā + 5| = |a + b| C. It is possible for la + b| < [ā|

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Q: Use the Integral Test to determine whether the infinite series is convergent. n2 Σ n=19 (n³ + 3)7 To...

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Q: Solve by integration by parts.

A: Given that: ∫1x1+x6dx

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (- 6)...

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Q: 1. Find the length of the curve r(t) = (sin 2t, cos! cos 2t) from t =0 to t 2n. %3D II

A: 1)- Given: r→t=sin 2t, cos 2t from t=0 to t=2π. The objective is to determine the length of the curv...