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Q: If f(x) = sin(x³), find f'(x) Find f'(1)

A: See this solution in below.

Q: dr 3 (t + 1)/2i + ej+ 0S nia S k t + 1 Differential equation: dt 2 Initial condition: r(0) II

A: Given and initial condition

Q: Evaluate the integral 32 3 √2³ (2² (x² − 2) dx =x²-2. by making the substitution u = x² + C

A: We know, ∫xndx= xn+1/(n+1) +C, C is a constant and for any real number n. Let I=∫x³(x⁴-2)³²dx

Q: If f(x) = 5x4 - 2e, find: ƒ'(x) = f'(3)= f''(x) = f''(3) =

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Q: 5. Betweenness in taxicab geometry. Let A = (0,0), B = (1,0) and C = (1, 1) and let p denote the…

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Q: Evaluate the limit using the appropriate Limit Law(s). (If it does not exist, enter NONE.) lim (3x4…

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Q: Answer the following questions for the function f(x)=x√√√√x² +9 defined on the interval - 7 ≤ x ≤ 6.…

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Q: 6. Suppose that A is an n × n matrix. Prove that nullity(A) = nullity(A™).

A: Nullity (A)= Nullity(A^t)

Q: 10. True or False: Determine whether each statement is true or false, and briefly explain your…

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Q: 3. Prove or disprove: If a | (b + c), then either a |b or a | c. h of the follo

A: Since you have asked for question number 3 , we have solved it for you.