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Q: If an athlete throws a shot-put at an angle of 45 initial speed of 43 ft/s. The shot-put leaves his…

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not…

Q: a) Find the vector that is parallel to the tanget to the circle x2 +y? = 100 at the point (3,4).

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Q: All points with coordinates x= rcos(0) and y = sin(0), where r is a constant, lie on a circle with…

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Q: Let A and B be the points defined by the position vectors a = 3i+j and b = 4i-2j, respectively.…

A: A and B be the points defined by the position vectots,To find,the shortest distance from A to the…

Q: 2. Given points M(5,1,2) and N(2,4,6). Find a unit vector in cartesian coordinates: a. at point M…

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Q: 6. An object is moving along a horizontal line modelling the position function s(t) = t²-10t; 0 ≤ t…

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dy dx B) Write the equation for the…

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Q: . Value of t such that vectors a=, b=, c= are coplanar.

A: Value of t such that vectors a=<1, 1, 1>, b=<2, -4, 0>, c=<1, t, 3> are coplanar.

Q: Find the angle between the line given by ⟨x, y, z⟩ = ⟨2t, 3t, t⟩ and the y-axis exactly.

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Q: A mobile follows a parabolic trajectory, reaches a maximum height of 8 meters after 1 second and…

A: A mobile follows a parabolic trajectory, reaches a maximum height of 8 meters after 1 second and…

Q: c) What is the cosine of the angle between the planes x + 2y – z + 1 = 0, and -x+ 3z + 1= 0? d) Find…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Exercise 2. Find a formula for the curve which is traced by the motion of a fixed point on a wheel…

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Q: Consider the curve 2y° + y – y° = x* – 2x° + x². a) This curve has sometimes been likened to a…

A: Given: 2y3+y2-y5=x4-2x3+x2. Graph the curve: The graph of the function represents a bouncing…

Q: 8) Consider the oriented curve C given by C=C₁U C2, where C₁: y = x³, and C₂: y = x², as shown in…

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Q: I Discuss the properties of the curve and sketch fully: a) y = x? e-x 1+2nx b) y = =

A: Get  the asymptote of equation in a: y=limx→∞x2e-x   =0 Thus, plot the graph:

Q: Given A =(x2 y, -yz, yz?). If point T is located at (2.8,5.6,3.6), find the distance vector from T…

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Q: Suppose we have: u = and v = . Based on their relative positions in the xy-plane, in which…

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Q: 2 Two particles, P and Q, move in a straight line. The velocity of particle P, v, m s", is given by…

A: We need to find  a)time when acceleration of p and q are equal. b)maximum velocity of q  c)time when…

Q: A 600 pound object hangs from two cables with angles below the horizontal of 0 25 and ø = 47…

A: We can use Lamis theorem to find the tension in the cables.

Q: Let f(x, y) = x² + y? and C be the curve along y = x² from (0, 0) to (1, 1).

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Q: a. For what vaiue(s) of a are the vectors r= (3, a, 9) and y (a, 12, 18) collinear? b. For what…

A: Collinear and perpendicular vectors

Q: 18. Show by vector methods that the median (a median joins the vertex of a triangle to the midpoint…

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Q: Let k ER and consider the plane T in R3 with vector equation X1 1 X2 k + s + t -1 s, t E R. X3 It is…

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Q: 2 m 2 m 2 m A VT B C DE F -2 m---2 m---2 m--2 m----2 m--2 m- 10 kN 20 kN 10 kN G

A: Given that,

Q: 1. Given the following lines: 3x D:: * = y – 1 Dz: x+ y-6 = 0 a-) Give a normal vector associated…

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Q: Show all work. 1)aJFind the vector which s tarts at Point (3,2, -a) and ends at Pornt (a, 1, 5). 5)…

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Q: Let u = 2 and v = | 0 , and let P = span{u, v}. Find an equation for the plane P.

A: Given: Let xyz be a point in Span {u, v} so there are t, r∈ℝ such that xyz=tu+rv. So,…