x t 4x +3 x- x -2 f(x): 1 [x +3] 17X71- x 2 1 lim f(x) f(x) lim x-> 2

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A: Please refer to the image below

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A: Topic:- complex number

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A: We know that Dx ax = ax·ln(a) Dx af(x) = af(x)·ln(a)·f'(x)   ∫ax dx = axln(a)+C   Dx loga x = 1x·ln(...

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A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

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Q: 11) sin-! 2

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A: Follow the procedure given below.

Q: SA We have seen that the harmonic series is a divergent series whose terms approach 0. Show that 8, ...

A: Given :∑n=1∞ In1+1nClaim :To show that the series is diverges with limn→∞an=0.

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A: function is continuous

Q: II. Find the limits of the ff by applying the techniques of evaluating limit theorems. x2 + 4x + 3 1...

A: We can solve the questions to find the limit as below.

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Q: Let f(a) = V5z + 2x + 5 f'(x) = [ f'(1)

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

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Q: Ay Given y = x²+ 3x + 5, find Ax %3D Ay 2Ax + x + 3 Ay 2xΔx +x+3 Ax Ax O Option 1 O Option 4 Ду Ay 2...

A: topic - difference quotient

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A: Given Data: fx=x+1x2+x

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A: We will find the derivative of the given function.Below find the solution in the image.

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A: Given:- f(x)=(x+6)(x-1)2  To find:- c. Determine zeros and multiplicity d . maximum number of turnin...

Q: A hot air balloon rising vertically is tracked by an observer located 6 km from the lift-off point. ...

A: Here we will find how fast is the balloon rising,

Q: 4) Show that the circumference of the unit circle is equal to 1 dx (an improper integral) 2 1 – x² E...

A: We need to verify the circumference of circle.

Q: Problem 2: (2y cos a + sin x) dæ sin a dy when a = , y = 1

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Q: 24 - dx /3- 4x (х + 1) 3.

A: Given that:                        

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Q: Solve each triangle. Round answers to the nearest tenth. 9) 10) 12 13 31.9 B. 14 12) 11) 39 12.6 47 ...

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Q: Find the measure of each sic 5) 43° 57 C 12 Y A 64° 7

A: Given that:                       

Q: Consider the following function. f(x) = Vx; x = 4 (a) Use any method to estimate the slope of the ta...

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Q: 3. The graph shows a hill walker's trek. She stopped for a rest at 12:00 and for lunch at 13:00. 11:...

A: Given, the distance-time graph of a hill walker's trek. We know that, the slope of a distance-time ...

Q: Let f(x) - 9 sin' a 4 f'(x)

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Q: Evaluate f dx letting u = x – 1. The given integral can be transformed to S h(u)du. What is the valu...

A: evaluate ∫xx-1dx letting u=x-1.The given integral can be transformed to ∫h(u) du what is the value o...

Q: Write the equation in equivalent exponential form. log 256 The equivalent exponential form is. (Type...

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Q: 1. lim f(x) : = -1 and f(1)DNE 2. lim f(x): = 1 and f(0) = -3 3. lim f(x) = -2, X →2- lim f(x) x → 2...

A: We have to graph the function asper the given limits.

Q: Prove that lim x² cos(1/x²) = 0. x→0

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Q: Find a singular value decomposition (SVD) of the matrix: 3 2 2 H = 2 3 -2

A: Given Matrix is  H=32223-2 Then SVD of H is given by: H=UDVT Where, U=Matrix of the orthonormal eige...