Determine which of the following pairs of functions are linearly independent. ✓ 1. f(0) = cos(30) g(0) = 5 cos³ (0) – 5 cos(0) 2. f(t) = e^t cos(µt) g(t) = et sin(ut)‚μ‡0 3. f(x) = x³ 4. f(t) = 3t, Linearly dependent Linearly dependent Linearly independent Linearly independent " " " g(x) = |x|³ g(t) = |t|

Q: 10. (a) State the Fundamental Theorem of Calculus. -x sin t %3D (b) Let J(x) = S*. Evaluate: (i)…

A: Fundamental theorem of calculus

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

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Q: Activity 4: 1. Find the indicated derivative for each of the following functions and evaluate as…

A: We know, ddxxn=nx(n-1) , for any real number n. ddxcos x= -sin x ddxsin x= cos x

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