Find the tangent line to the curve y = x² − 5x + 11 at the point (1,7). Use the limit definition of the derivative, and show your work.

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Q: Complete the conversion: Input you answer in standard notation. 6.26 kg = g

A: solution:-1 kg=2.2 pounds6.26 kg=6.26×2.2 pounds             =13.772 pounds

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A: Given linear operator A=2456     and  basis   S= 1-2  ,3-7

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A: f(x)=x4(x-3)7 Critical points can be calculated using f'(x)=0

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Q: 9. Use the Second Derivative Test to find the relative extrema of g(x) = 6x3 + 9x2 − 36x

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Q: 1. Evaluate the given integral [(4x³ - 3√x)dx 3 12x² O a. 3 2√x O C. 2 3 1 x ² = ² x ² + c - C 3 + C…

A: Topic = Integration Correct option = b

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Q: 59. ye

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A: We can find the 1st derivative and the derivative at the indicated number in the below steps.

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Q: 4. If y = tan-¹(cos x), then dy = dx

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A: ∑k=0∞ 4-2k

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A: The given function is  f(x)=e-4-ex-3-x

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A: I am attaching image so that you understand each and every step.

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A: Let x be the a side of the square base and y be the length of the package.

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A: Given; 1) sqrt(28) 2) sqrt(32) 3) sqrt(50) 4) sqrt(52) 5) sqrt(80) 6) sqrt(108)

Q: 4. ( sin(x)+1 x 05x+e+(x−1)² a. lim b. lim x-0 c. lim x-1 tan(-x) 2x sec(x + 4) = √2x+2-2 1-√√√x >…

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