3) How hot should air be heated in a hot-air balloon for it to take of? A hot-air balloon requires a density of .156kg/m³ to become airborne.

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A: In this question we have to describe the graphical vector addition with parallelogram method. Please…

Q: The unit vector from A(4, 2) to the point B(-2, 10) is:

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Q: Discuss about the Matrix Systems?  Please answer at your own words.

A: The matrix system in the field of the physics is useful in the case of the multiple thick lenses.…

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A: Given, resultant of vector A(say) = 11m/s resultant of vector B(say) = 3m/s So, sum of these two…

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Q: Replace the polar equation r= - 4 sec 0 with an equivalent Cartesian equation. Then identify the…

A: PUT    X =r cosθ             y = r sin θ            x2 + y2 = r2

Q: Write the main points of half subtractor?

A: Half Subtractor: It is a building block for subtracting two binary numbers. It has two inputs and…

Q: Given a vector (77, 48, 22) and another vector (4, 49, 67) what is the z-component of their sum?

A: Given that Vector 1 (A)= (77, 48, 22)  And , vector 2 (B)= (4, 49, 67) Let i, j and k be the unit…

Q: Suppose that Ø =2xy +z^2 find VØ at point (1,-1,3) and what is the component of VØ in the direction…

A: ∅=2xy+z2∇∅ = ∂∅∂xi+∂∅∂yj+∂∅∂zk=∂∂x2xy+z2i+∂∂y2xy+z2j+∂∂z2xy+z2k=2yi+2xj+2zk=2yi+xj+zk   ---(1) Hence…

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A: Given Data, Forward tangent of -8% Backward tangent of +5% The curve is 40 m The side is 60 m long…

Q: Determine the magnitude of the following cross product: ( 11 7 +57 ) X (27 +57)

A: Given: The vectors are 11i+5j and 2i+5j

Q: The Parabola x² = 3y is: %3D

A: Parabola =  x2 =4ay where x , y are co-ordinates and a is the distance from the origin.

Q: The slope field below indicates that the differential equation has which form? (Assume the…

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Q: 10 3| = 13.8 0.1 25.0 20 30 120 사리 =D 11.0 10 -10 7 = 5.0 Id| = 11.0

A: As per guideline we are suppose to do only 3 subpart from multipart question.

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A: From the figure,we have Determine the magnitude and coordinate direction angles of the resultant…

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Q: With an example, explain the terms multidimensional and parallel.

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Q: How do I find the area of a parralelogram with two given vectors

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Q: Determine the y-component of unit vector parallel to the sum of vectors (-4.1)i + (5.9)j + (-7.9)k…

A: Given: The vectors are  (-4.1)i + (5.9)j + (-7.9)k and (8.3)i + (-8.4)j + (4.4)k.

Q: example of a space where there is not always a geodesic (i.e. a shortest path) between two points.

A: A metric space is said to be a geodesic space if every pair of points can be joined by a path of the…

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Q: The component form of vector is 7 = (4, 3). v Find 47. 40 =

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Q: What is the angle between vectors A - 2i + 3j + k and B- 3i • 2j + K? O 21.79 O 42.88° 85.90° O…

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Q: in the case equation: RT a+bT =+- V² Prove that P is a perfect differential.

A: We will answer the question by first defining the property of a perfect differential function.

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Q: Express the vector field D = (x²+y²)⁻¹ (X2x + Y2y) in cylindrical components and cylindrical…

A: Given Express the vector field D = x2+y2-1  xax+yay in cylindrical components and cylindrical…

Q: Use the law of sines and the law of cosines, in conjunction with sketches of the force polygons, to…

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Q: L is a straight line in the plane, point A is at a distance of 2cm. from L Show how to draw a circle…

A: To draw a circle of radius 3cm that passes through point A and its center lies on the straight line…

Q: Consider a vector A = -3 a, + 2z az, convert A to spherical coordinates and find the radial…

A: Solution: It is given that, A=-3ay+2zazSo,Ax=0; Ay=-3; Az=2z   If we change the coordinate(x,y,z) to…

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