Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y -2 (a) lim f(x) = X-C (b) lim f(x) = X-C (c) lim f(x) = X-C (1, 2) (1, -2) C = 1 2 Is the function continuous at x = 1 O Yes No 4 6 8 X

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A: Disclamier: Since you have posted multiple a question with multiple sub- parts , we will solve first…

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A: Using the formula of integration x^n

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Q: 2. Imagine you were given three different tables of values; a linear, quadratic and exponential one.…

A: Imagine you were given three different tables of values; a linear, quadratic and exponential one. To…

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A: To find the solution of D.E.

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Q: following function L sin2t cos3t

A: let  f(t)= sin2t cos3twe use the formula 2 sin  A   cos B = sin(A+B)+sin(A-B)

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Q: Q21 Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

A: we need to tell whether given statements are true or not

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A: Here we use the concept of dot product of the vectors.

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A: Use workdone formula for finding the work

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A: We have to solve the step  sin(1-√3a)= -0.9556+0.9210

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A:

Q: For the sequence an = an-1 + an 2 and a₁ = = 1, its first term is 1 its second term is 1 its third…

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Q: Evaluate the following integral using inversion of order: of a dyda

A: Solution given below

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A:

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A: Here we have to use the concept of implicit derivative

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A: Suppose f(x) has the Taylor series at x=a which is: ∑k=1∞fk(a)k!(x-a)k

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Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 The limit of the ratio test…

A: you have entered value of an instead of f(n) .

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Q: f sin²(x) cos²(x) dx

A: cos(2x) = 1-2sin2(x) = 2cos2(x)-1. ∫cos(ax) dx=1asin(ax)+C ∫xn dx = xn+1n+1+C

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Q: INTEGRATION OF 1/1+TANX

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A: SOLUTION-

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A: Explanation of the answer is as follows

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Q: (b) Use the Fundamental Theorem of Calculus to evaluate the integral .8 So da dx x-6 x+8

A: Need to use the fundamental theorem of calculus to solve this integral.

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