Consider the following. u = (2, 0), v = (5, 7) (a) Find u · v. U'V = (b) Find the angle between u and v to the nearest degree.

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A: The surface area (A) of torus is given by the formula mentioned below with given values as.

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A: We have to describe the particle with position (x,y) as t varies in the given interval.

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Q: Chapter 12, Section 12.5, Question 013 Find the curvature and the radius of curvature at the stated…

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A: Given, AF→ and  AD →are opposite rays.∴∠FAD=180°

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A: We need to solve definite integral.

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A: Given: Angleθ=5π6, To sketch: The given angle in standard position.

Q: 01: Find the angle () between the tangents lines of the line r = 3 sec 0 and the cardioid r 4(1 +…

A: The given question can be solved as shown in step2.

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A: since you have asked multiple questions in single request so we will be answering only first…

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Q: Find the length of one arch of the cycloid 8(t – sin(t)), y = 8(1 – cos(t)). %3D

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A: Given:- we are provided with three functions y,z and v where y=sin(x)z=cos(x)v=y+x=sin(x)+xNow, we…

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Q: Cannot solve

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Q: Find the length of one arch of the cycloid a = 9(t – sin(t)), y = 9(1 – cos(t)). %3D

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Q: Evaluate fe Im(: – i)dz where C is the contour from : = 1+2i to z = i and from :-i to := -i. %3D %3D

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Q: The equation of the tangent plane to the surfice. -yeV + = 0 at the point (0,1,1) is ar + by + cz =…

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Q: What angle does the tangent to the curve y(x) = sin² (x/9) + 13sin(x/9) at x = 9n make with the…

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Q: Verify the formulas d u' -[arcsin(u)]: dx Vi-u d u' -[arccos(u)]=- dx V1-u? d -[arc cot(u)]= dx u'…

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Q: The equation of the tangent plane to the surfae ye+ = 0 at the point (0,-1, 1) is az+by+cz = Which…

A: Given yexy+z2 = 0    point (0 , -1 , 1)Let f = yexy+z2dfdx= yexy.y ⇒dfdy(0 , -1 , 1)=1dfdy= yexy.x…

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A: sinπ2 = 1

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A: Here we have to find the acute angle between the lines,  The given lines are,

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Q: 1) Find -(d(PE))/dx in order to find the force acting on the object. (from the equation…

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Q: Find the concevity. point of infleetion, of fluj n=770 Also explain it jeometrically

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A: Find angle.

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Q: Find the length of one arch of the cycloid x = 9(t – sin(t), y = 9(1 – cos(t)).

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Q: New Challenger. 8T Find the angle coterminal to. if you travel around the xy-axis in the negative…

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Q: tan 0 If u= sec 0, then | de = sec 0 du (A Vūdu du © J, J "uvudu

A: We will solve the integration.

Q: A box of mass m=3.0kg slides down a smooth incline plane of 5.0m long with angle. Please find the…

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