Find the roots of the equation f(x) = x² − x³ − 7x² + 13x − 6 = 0.
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- Express the relationship between 1/do, 1/di, and 1/f as an equation.Given the volume of a sphere is 3080cm3, find the radius of the sphere from the given equation: V= 4/3πr3.Given that A + B = x₁Î + Y₁Ĵ and Ö Ē = x₂Î + y₂), what is ? A ® B = ²/² ( x ₁ + x₂) ₁ + 1/{ (Y₁ +92)ĵ B Î D B = ½ (×₁ − ×₂) Î + ½ (Y₁ −³₂)Î E B = ½¼½ (X₁ − ×₂)Î + ½ (Y₁ + Y2 )Ĵ ³ = ½ (X₁ + X₂) Î + ½ (Y₁ −Y₂)ĵ B = ½ (³₁ −³₂)ĵ
- The functions ¢1(x) and ø2(x) are normalized: d φ( (α) φι(α) dx 0(x) 62(x) = 1 = 1 -00 -00 and are mutually orthogonal dx oi(x) $2(x) dx 4i(x) $1(x) = 0 . Is the function b_(x) = ¢1(x) – $2(x) normalized? If not, determine its normalization constant and write the formula for the normalized y_ (x). Is the function +(x) = ¢1(x) + ¢2(x) %3D orthogonal to _(x)?A rectangle has a length of (5.1 ± 0.2) m and a width of (2.3 ± 0.1) m. Calculate: (a) the area and (b) the perimeter of the rectangle, Give the uncertainty in each value.2 8 Perform the following calculations: (6.02 × 10²3) × (7.1 × 103) = 4.2742 ×1027 (8.46 × 10-4) × (2.23 x 103) = 1.88 65 8×100 3.6 × 107/2.2 × 104 = 1.63 x 10" 9 Perform the following conversions: 27.03 cm X 3.3 × 10⁰ g X 83 mph X 3.33 × 10-³ mL X 75 μm x 4°C X 12 miles x 2.9 g X 11.7 mg x 3.62 × 10-³ L X 36 gallons X 100 yards X 77°F X 15 nm X -16°C X 29 µg X 30 = = = || = || = || = = Exploring Biology in the Laboratory 04 6.4 × 106/4.2 × 10-³ = 1,52 7.2 × 108 + 3.3 × 107 = 7.53×108 9.4 × 106 - 4.6 × 10³ = 8.94×106 nm kg km/h gallons mm °F mm pounds kg mL Ligns 3 °C m °F ounces 29x119 1590 00000 on sii byg مواد ola 3 omen 3 bab 8 a obim A M
- Givenx = 2.40 +- 0.30 , y = 5.00 +- 0.19 , calculate, z = x + y, z=_____+-_____A rectangle expands and contracts with time t (in seconds). Its area is given by A= 4 + sin t square meters. At t = 3.14 (pi), the following is observed. (1) the width of the rectangle expands at the rate of 0.1 meters per second. (2) The width of the rectangle is 1 meter long How fast is the height of the rectangle changing at t = 3.14 (pi)?Simplify the expressions. (a) −(25 + 12) (b) −7 − (6 − 3)