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Test3


\( f(x) = a_0 + a_1(x-a) + a_2(x-a)^2 + a_3(x-a)^3 + a_4(x-a)^4 + a_5(x-a)^5 + a_6(x-a)^6 + a_7(x-a)^7 + a_8(x-a)^8 + a_9(x-a)^9 + a_{10}(x-a)^{10} - (\left(-\frac{-4.80}{1.70}\right) \cdot \left(-\frac{-4.80}{1.70}\right) \cdot \left(\frac{4.10}{2}\right) \cdot \left(\frac{4.10}{2}\right) ) \)

1) Pomnoži: \( \sqrt{-4.80} \cdot \sqrt{1.70} \)

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2) Which is the correct expression for 1 × -4.80?

3) \( \left(-\frac{-4.80}{1.70}\right) \cdot \left(-\frac{-4.80}{1.70}\right) \cdot \left(\frac{4.10}{2}\right) \cdot \left(\frac{4.10}{2}\right) \)

4) Neka su \( A = \begin{bmatrix} -4.80 & 1.70 \\ 4.10 & 2 \end{bmatrix} \) i \( B = \begin{bmatrix} 6 & 1 \\ 3 & 2 \end{bmatrix} \). Izračunajte \( A + B \) i \( A - B \).

5) Evaluate the integral: $$\int_{1}^{-4.80} (1.70x^2 + 4.10x + 2) \, dx$$

6) Neka je funkcija \( f(x) \) definirana kao \( f(x) = x^2 - \sqrt{-4.80}x + \sqrt{1.70} \) i opisuje oblik parabole. Odredite vrijednost konstante \( c \).

7) Calculate the energy released during the fusion of two deuterium nuclei: $$^2_1\text{H} + ^2_1\text{H} \rightarrow ^3_2\text{He} + n$$ Given the masses: $$m(^2_1\text{H}) = 1 \, \text{u}, \, m(^3_2\text{He}) = -4.80 \, \text{u}, \, m(n) = 1.70 \, \text{u}$$ Use \(1 \, \text{u} = 931.5 \, \text{MeV/c}^2\).

8) \(1x^2 + -4.80x + 9 = 1.70x^2 + 4.10x + 2\)

9) Napiši broj 1 u obliku potencije broja 10.

10) Zamijeni brojeve 3 i 12 iz zadatka \(3^b + 3^{b-1} = 12\) sa varijablama: 2

11) Riješite sustav linearnih jednadžbi:
\( \begin{cases} -4.80 x - 2y = -4.80 \\ 2x + -4.80 y = 1.70 \end{cases} \)

12) Riješite jednadžbu: 1.70 \( x^2 + 5x - 4.10 = 0\)

13) Riješite jednadžbu: 1.70 \( x^2 + 5x - 4.10 = 0\)

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