Let cos(t) sin(t)] t3 t² t4 t and B(t) = 2 [-sin(t) cos(t). Verify that (AB)'(t) = A' (t)B(t) + A(t)B'(t).

Q: The polynomial that passes through the following x-y data (18, y,), (22,25), (24,123) is given by…

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Q: Find the value for b. N ΔΜΝΡ ~ ΔΧΥΖ P b = 4 M Ζ b + 2 7 X 36+1 N Y

A: Given Figures:

Q: use the following matrices to compute the indicated expression if it is defined. 3 0 4 2 A =-1 B = 3…

A: product of two matrices is only possible when the inner dimensions are the same, meaning that the…

Q: cavalieris principle. how can we prove it using calculus methods weve learned

A: Cavalieri's principle states that when the cross-sectional area of two solids by parallel planes is…

Q: State all of the maxima and the each function location locations Where the local for ottar local…

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Q: Perform the indicated operation and express the result as a simplified complex number. (5 + 7i) (4 –…

A: We have to simplify the following complex number -  (5+7i)(4-i)

Q: Use geometry to evaluate f(2x+5)dx

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Q: cot2 x+1 2. sec(2a) 11 cot2 x - 1 1

A: We will start with the right side. Replace cot x by cosx/sinx Then use LCD to add or subtract…

Q: f(x) = x2, dan g(x) = x² - 2x + 1, antara x = 1 dan x = 4 g(x) f(x) 15 0 2²-2x+ A = (2.84, 3.37)

A: The given curves are: f(x)=2x12     and     g(x)=x2-2x+1

Q: Complex Analysis - Analytic Function   Show that the function f(z)=(z^3 +1) / (z^2 -z) satisfies…

A: Please check step 2 for the solution.!

Q: 1. Which of the following are functions? (Check all that apply) O (1,2), (2,4), (3,5), (4,4),…

A: Any relation is said to be function if it has one y (output) for a single x(input). So relation…

Q: (Rez)(Imz) (b) lim z→1+i

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Q: Determine all entire functions f such that f(it) = t^2 for all t ∈ R. Justify your answer.

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: