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Q: The differential equation is: d²y k (y+s+l – h + mg dt2 m k The form of the solution that we…

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Q: T-ODE T"=-w²T |X-ODE| X" = − ² X = −k² X The solutions are X (x) T(t) = = Acoskæ +B sink C coswt + D…

A: We have given two linear differential equation with constant coefficient we can solve them as…

Q: Given two vectors A⃗ =A→= 4.20 i^+i^+ 7.40 j^j^ and B⃗ =B→= 5.50 i^−i^− 2.20 j^j^ , find the scalar…

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Q: A circular area S is concentric with the origin, has radius a, and lies in the yz-plane. Calculate…

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Q: What are (a) the x component and (b) the y component of a vector a→ in the xy plane if its direction…

A: Given Magnitude r = 9.6 m Direction θ = 238o

Q: -) x(- -) × (– e. 36 inches/second x _km/hour

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Q: Thickness question. you find an old book and decide to estimate the thickness of one of the sheets…

A: Given:- The all the sheets of the book are 3 inches thick,  Neglecting the front and back cover book…

Q: The average distance, d, that a Galapagos tortoise travels during a day scales with the tortoise’s…

A: Given data:  Distance (d) is proportional to m2/3 Mass of tortoise 1 (m1) = 50 kg Distance traveled…

Q: 37. ssm The average value of the squared speed 2 does not equal the square of the average speed…

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Q: Given u = −7i − 5j and v = −10i − 9j, what is projvu?  a −9.937i − 8.943j  b −6.956i − 4.968j  c…

A: u→=-7i^-5j^  v→=-10i^-9j^

Q: d. 1 foot/nanosecond x -) ×(- _m/s (Note: “nano" is the metric prefix which is equivalent to 10-9.)

A: solution as

Q: In an RC series circuit, emf= 12.0 V, R = 1.40 MN, and C = 1.80 µF. How long does it take for the…

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Q: 1. (2.5, -3) r, 0 = ? 7 3. (-3, -3) +x → +x → 2. (-2, -3) r, 0 = ? ty → 2. (-2, 2) +x → +X →

A: Dear student, Since you have posted a question with multiple subparts, as per company guidelines we…

Q: (a) L² (3x². 2 (3x² - 2x - 1) 8 (x - 3)dx (b) *(cos x) 8(x − n)dx 5 (c)( (cos x)8(x - 2π)dx

A: I have use the concept property of dirac delta function

Q: 4. A force with magnitude F = 10 N with a fixed orientation is applied on a particle. The particle…

A: (d) The work done by the force on the particle is, W=Fdcosθ

Q: Consider the two vectors A = 2.9i - 1.1j and B = -1i - 4.2j a) Calculate A + B 1.90 i -5.30 j b)…

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Q: Express this product in units of km3 in standard scientific notation and with the appropriate number…

A: given that (4.2 km) × (4.0 m) × (13.24 × 10−3 mm)

Q: Measurement No. time t (s) distance x (m) 1 0.300 1.59E-02 (i.e. 1.59 × 10−2) 2 0.500 4.31E-02 3…

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Q: What is the magnitude of a→×(b→×a→) if there is an angle φ = 23.0° between the directions of a→ and…

A: Since, a⇀⊥b⇀×a⇀ Then, The value of, a⇀=7.9b⇀=5.1ψ=23.0°

Q: Vector A⃗ A→, vector B⃗ B→, and vector C⃗ C→ are drawn to scale in the figure below. The vector A⃗…

A: CONCEPT:

Q: For A= 4î + ĵ − 3k,  B = -4î + ĵ + 5k, and  C= 5ĵ − 2k, find C · ( A−B )

A: Given : A= 4î + ĵ − 3k B = -4î + ĵ + 5k C = 5ĵ − 2k

Q: One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in…

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Q: Consider the two vectors C⃗→ and D⃗→ defined as follows: C⃗=(2.35,−4.27) and D⃗=(−1.30,−2.21)…

A: C→ = (2.35,-4.27)D→ = (-1.30,-2.21)

Q: Given the vector A = 3.0î + 1.5j, find a vector B that is perpendicular to Ã. Check all that apply.…

A: A→=3i^+1.5j^ Say, B→=xi^+yj^ For A→ perpendicular to B→. A→.B→=03i^+1.5j^.xi^+yj^=03x+1.5y=0xy=-12…

Q: Given that Ã+ B = x₁ Î+Y₁Ĵ and ì B = x₂Î +⁄₂Î, what is ?

A: Addition of two vectors is A→+B→=x1i^+y1j^ Subtraction of the same vectors is A→-B→=x2i^+y2j^ Find:…