Zmija na bajsu

Kvadriranje

1. Izračunaj. (a) \( \left(-\frac{§§V1(-5,5,0.1)§§}{§§V2(1,5,0.1)§§}\right) \cdot \left(-\frac{§§V1(-5,5,0.1)§§}{§§V2(1,5,0.1)§§}\right) \cdot \left(\frac{§§V3(1,5,0.1)§§}{§§V4(1,5,0.1)§§}\right) \cdot \left(\frac{§§V3(1,5,0.1)§§}{§§V4(1,5,0.1)§§}\right) \) (b) \( \left(\frac{§§V5(1,10,0.1)§§}{§§V6(1,10,0.1)§§}\right) \cdot \left(\frac{§§V5(1,10,0.1)§§}{§§V6(1,10,0.1)§§}\right) \cdot \frac{1}{§§V7(1,10,1)§§} \cdot \frac{§§V8(1,50,1)§§}{§§V9(1,50,1)§§ \cdot §§V9(1,50,1)§§} \) (c) \( \left(-\frac{§§V10(-10,10,0.1)§§}{§§V11(1,5,0.1)§§ \cdot §§V11(1,5,0.1)§§}\right) \cdot \left(-\frac{§§V10(-10,10,0.1)§§}{§§V11(1,5,0.1)§§ \cdot §§V11(1,5,0.1)§§}\right) - \left(-\frac{§§V12(-10,10,0.1)§§}{§§V13(1,5,0.1)§§}\right) \cdot \left(-\frac{§§V12(-10,10,0.1)§§}{§§V13(1,5,0.1)§§}\right) \) (d) \( \frac{1}{§§V14(2,10,1)§§} \cdot \left(\frac{1}{§§V15(2,10,1)§§}\right) \cdot \left(\frac{1}{§§V15(2,10,1)§§}\right) - \frac{1}{§§V16(2,10,1)§§ \cdot §§V16(2,10,1)§§} \) (e) \( \frac{1}{§§V17(2,10,1)§§} \cdot \frac{1}{§§V18(2,10,1)§§ \cdot §§V18(2,10,1)§§} \cdot \frac{§§V19(1,10,1)§§ \cdot §§V19(1,10,1)§§}{§§V20(4,20,2)§§} \) (f) \( \frac{§§V21(1,10,1)§§}{§§V22(1,5,0.1)§§} \cdot \left(\frac{§§V23(1,10,0.1)§§}{§§V24(1,10,1)§§}\right) \cdot \left(\frac{§§V23(1,10,0.1)§§}{§§V24(1,10,1)§§}\right) \cdot \frac{§§V25(1,10,1)§§}{§§V26(1,5,0.1)§§} \) (g) \( \left(\frac{§§V27(5,15,1)§§}{§§V28(1,5,1)§§}\right) \cdot \left(\frac{§§V27(5,15,1)§§}{§§V28(1,5,1)§§}\right) \cdot \frac{§§V29(1,10,1)§§}{§§V30(1,5,1)§§} - \frac{§§V31(5,20,1)§§ \cdot §§V31(5,20,1)§§}{§§V32(10,30,2)§§} \) (h) \( \frac{-§§V33(5,15,1)§§ \cdot -§§V33(5,15,1)§§}{§§V34(1,10,1)§§} \cdot \frac{1}{§§V35(1,10,1)§§} - \left(\frac{§§V36(1,10,1)§§}{§§V37(1,10,1)§§}\right) \cdot \left(\frac{§§V36(1,10,1)§§}{§§V37(1,10,1)§§}\right) \) 2. Koji od navedenih izraza ima rezultat jednak nuli? (a) \( §§V0(1,10,1)§§^2 \cdot §§V1(3,15,3)§§ \cdot §§V2(100,500,50)§§ - §§V3(2,5,1)§§.5^2 \cdot \left(\frac{1}{2}\right)^2 \) (b) \( §§V4(1,2,0.25)§§ \cdot \frac{-§§V5(4,16,4)§§^2}{§§V6(9,90,9)§§} + \left(\frac{§§V7(10,30,5)§§}{3}\right)^2 \cdot 0.2 \) (c) \( §§V8(1,3,0.5)§§ \cdot \frac{-§§V9(5,50,5)§§^2}{2} + \frac{§§V10(6,60,6)§§^2}{§§V11(5,50,5)§§^2} \cdot \frac{3}{2} \cdot §§V12(0.4,4,0.4)§§ \cdot \frac{-§§V13(4,40,4)§§^2}{12} \) (d) \( (-§§V14(2,20,2)§§)^2 - \frac{-1}{§§V15(5,50,5)§§^2} - (-§§V16(20,200,20)§§)^2 \cdot §§V17(0.3,3,0.3)§§^2 + §§V18(2,20,2)§§^2 \cdot (-§§V19(2,20,2)§§)^2 - \left(\frac{-§§V20(1,10,1)§§}{2}\right)^2 \) 3. Dopuni tablicu. <table class='table table-bordered'> <tr> <td>x</td> <td>§§V21(-10,10,2)§§</td> <td>§§V22(4,8,1)§§</td> <td>§§V23(-3,3,0.5)§§</td> <td>§§V24(0.3,0.6,0.1)§§</td> <td>§§V25(-3.1,-2.1,0.2)§§</td> <td>§§V26(1,5,1)§§</td> </tr> <tr> <td>y</td> <td>§§V27(-5,5,1)§§</td> <td>§§V28(-4,0,1)§§</td> <td>§§V29(0.5,3.5,0.5)§§</td> <td>§§V30(-0.3,0,0.1)§§</td> <td>§§V31(-3.1,-3,0.1)§§</td> <td>§§V32(-1,1,0.5)§§</td> </tr> <tr> <td>z = x² - y²</td> <td></td> <td></td> <td></td> <td></td> <td></td> <td></td> </tr> </table> 4. Dopuni tablicu. Seitenleiste öffnen ChatGPT Du: Uvecaj tablicu u Bootstrapu <table class='table table-bordered'> ChatGPT: ChatGPT Da biste uvećali tablicu u Bootstrapu, možete koristiti klase za širinu (w-100 za 100% širine, ili table-sm za manju tablicu) i prilagoditi stilove prema potrebama. Ako želite da tablica bude veća u smislu visine, možete koristiti dodatne klase za padding ili marginu. Evo kako možete proširiti tablicu sa klasama u Bootstrapu: <table class='table table-bordered table-responsive'> <tr> <td>a</td> <td>b</td> <td>a² - b²</td> <td>(a - b)²</td> <td>a² + b²</td> <td>(a + b)²</td> </tr> <tr> <td>§§V33(-3,3,1)§§</td> <td>§§V34(2,5,1)§§</td> <td></td> <td></td> <td></td> <td></td> </tr> <tr> <td>§§V35(2,6,1)§§</td> <td>§§V36(-3,1,1)§§</td> <td></td> <td></td> <td></td> <td></td> </tr> <tr> <td>§§V37(2,5,1)§§</td> <td>§§V38(5,10,1)§§</td> <td></td> <td></td> <td></td> <td></td> </tr> <tr> <td>§§V39(5,15,2)§§</td> <td>§§V40(2,10,1)§§</td> <td></td> <td></td> <td></td> <td></td> </tr> <tr> <td>§§V41(-3,0,0.5)§§</td> <td>§§V42(-1,1,0.5)§§</td> <td></td> <td></td> <td></td> <td></td> </tr> <tr> <td>§§V43(-1,0,0.2)§§</td> <td>§§V44(-3,-1,0.5)§§</td> <td></td> <td></td> <td></td> <td></td> </tr> </table> 5. Izračunaj vrijednost izraza -x² + 3y² za zadane vrijednosti. (a) \( x = §§V45(-3,3,1)§§, y = §§V46(1,5,1)§§ \) (b) \( x = §§V47(-6,-2,1)§§, y = §§V48(2,6,1)§§ \) (c) \( x = §§V49(2,4,1)§§, y = §§V50(2,5,1)§§ \) (d) \( x = §§V51(-7,-5,1)§§, y = §§V52(-4,0,1)§§ \) 6. Izračunaj vrijednost izraza 2a² + b² za zadane vrijednosti. (a) \( a = §§V53(1,5,1)§§, b = §§V54(-2,2,1)§§ \) (b) \( a = §§V55(1,9,0.1)§§, b = §§V56(3,6,1)§§ \) (c) \( a = §§V57(-3,3,1)§§, b = §§V58(-4,0,1)§§ \) (d) \( a = §§V59(0.2,1,0.2)§§, b = §§V60(0.8,1.5,0.2)§§ \) <svg width="400" height="300" xmlns="http://www.w3.org/2000/svg">  <line x1="50" y1="250" x2="350" y2="250" stroke="black" stroke-width="2"/> <line x1="50" y1="250" x2="50" y2="50" stroke="black" stroke-width="2"/>   <rect x="100" y="150" width="50" height="100" fill="blue"/> <text x="100" y="145" font-size="12" text-anchor="middle">§§V1(700,2000,1)§§</text>  <rect x="200" y="100" width="50" height="150" fill="green"/> <text x="200" y="95" font-size="12" text-anchor="middle">§§V2(700,2000,1)§§</text>  <rect x="300" y="50" width="50" height="200" fill="red"/> <text x="300" y="45" font-size="12" text-anchor="middle">§§V3(700,2000,1)§§</text>  <text x="100" y="270" font-size="12" text-anchor="middle">Ime1</text> <text x="200" y="270" font-size="12" text-anchor="middle">Ime2</text> <text x="300" y="270" font-size="12" text-anchor="middle">Ime3</text>  <text x="20" y="250" font-size="12" text-anchor="end">0</text> <text x="20" y="150" font-size="12" text-anchor="end">700</text> <text x="20" y="100" font-size="12" text-anchor="end">1300</text> <text x="20" y="50" font-size="12" text-anchor="end">2000</text> </svg> (a) \( \left(-\frac{§§V1(-5,5,0.1)§§}{§§V2(1,5,0.1)§§}\right) \cdot \left(-\frac{§§V1(-5,5,0.1)§§}{§§V2(1,5,0.1)§§}\right) \cdot \left(\frac{§§V3(1,5,0.1)§§}{§§V4(1,5,0.1)§§}\right) \cdot \left(\frac{§§V3(1,5,0.1)§§}{§§V4(1,5,0.1)§§}\right) \) (b) \( \left(\frac{§§V5(1,10,0.1)§§}{§§V6(1,10,0.1)§§}\right) \cdot \left(\frac{§§V5(1,10,0.1)§§}{§§V6(1,10,0.1)§§}\right) \cdot \frac{1}{§§V7(1,10,1)§§} \cdot \frac{§§V8(1,50,1)§§}{§§V9(1,50,1)§§ \cdot §§V9(1,50,1)§§} \) (c) \( \left(-\frac{§§V10(-10,10,0.1)§§}{§§V11(1,5,0.1)§§ \cdot §§V11(1,5,0.1)§§}\right) \cdot \left(-\frac{§§V10(-10,10,0.1)§§}{§§V11(1,5,0.1)§§ \cdot §§V11(1,5,0.1)§§}\right) - \left(-\frac{§§V12(-10,10,0.1)§§}{§§V13(1,5,0.1)§§}\right) \cdot \left(-\frac{§§V12(-10,10,0.1)§§}{§§V13(1,5,0.1)§§}\right) \) (d) \( \frac{1}{§§V14(2,10,1)§§} \cdot \left(\frac{1}{§§V15(2,10,1)§§}\right) \cdot \left(\frac{1}{§§V15(2,10,1)§§}\right) - \frac{1}{§§V16(2,10,1)§§ \cdot §§V16(2,10,1)§§} \) (e) \( \frac{1}{§§V17(2,10,1)§§} \cdot \frac{1}{§§V18(2,10,1)§§ \cdot §§V18(2,10,1)§§} \cdot \frac{§§V19(1,10,1)§§ \cdot §§V19(1,10,1)§§}{§§V20(4,20,2)§§} \) (f) \( \frac{§§V21(1,10,1)§§}{§§V22(1,5,0.1)§§} \cdot \left(\frac{§§V23(1,10,0.1)§§}{§§V24(1,10,1)§§}\right) \cdot \left(\frac{§§V23(1,10,0.1)§§}{§§V24(1,10,1)§§}\right) \cdot \frac{§§V25(1,10,1)§§}{§§V26(1,5,0.1)§§} \) (g) \( \left(\frac{§§V27(5,15,1)§§}{§§V28(1,5,1)§§}\right) \cdot \left(\frac{§§V27(5,15,1)§§}{§§V28(1,5,1)§§}\right) \cdot \frac{§§V29(1,10,1)§§}{§§V30(1,5,1)§§} - \frac{§§V31(5,20,1)§§ \cdot §§V31(5,20,1)§§}{§§V32(10,30,2)§§} \) (h) \( \frac{-§§V33(5,15,1)§§ \cdot -§§V33(5,15,1)§§}{§§V34(1,10,1)§§} \cdot \frac{1}{§§V35(1,10,1)§§} - \left(\frac{§§V36(1,10,1)§§}{§§V37(1,10,1)§§}\right) \cdot \left(\frac{§§V36(1,10,1)§§}{§§V37(1,10,1)§§}\right) \)