Plot the following cosine functions, y1 = 2 cos(x), y2 = cos(x), and y3 = 0.5 + cos(x), in the interval 0 s x < 2n.

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A: total number of students=20Number of students in a group=4Total number of groups=5Two constraints:1 ...

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Q: . The exact differential d(xy)= xdy + ydx, what is the d( = 4x²y'dy+2xy*dx.

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Q: 2. Determination of integrating factors: 2y(x - y+ xdx+(x² - 2ydy 0

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Q: Find dy/dx by implicit differentiation. 8x3 + x?y - xy3 = 2 dy/dx =

A: Solution: 8x3+x2y-xy3=2

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A: To determine whether the lines intersect, and if so, to find the point of intersectionx3=y-2-1=z+1, ...

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A: solution is given below..

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Q: Write an integral that is equivalent to xf (2x) da.

A: Consider∫-2-1xf(2x2)dxlet  u=2x2differentiate on both sidesdu=4xdxWhen x=-1 ,  u=2(-1)2=2          x...

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A: Follow the procedure given below.

Q: 1. Find the volume of the solid formed by revolving the region bounded by the graph of f (x) = -x² +...

A: Given problem:- Find the volume of the solid formed by revolving the region bounded by the graph of ...

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A: Given curve: y=4cos3x-3cosx To find: The values of x when y is maximum and minimum i.e. critical poi...

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Q: The shaded region shown below is bounded by the functions f(x) = -a² – 1.5x = 2.5. Find the area of ...

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Q: Verify that the two planes are parallel. -x + 6y + 3z = 6 1 -x + 2y + z = 7 Find the normal vector, ...

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Q: 3 4+2x

A: Given,             32=x4+2xTo find : What is the missing term in the proportion?

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Q: The exact differential d(xy)= xdy+ ydx , what is the d( = 4x°y'dy + 2.xy*dx . хdу — ydx The exact di...

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Q: 8. Two ships sail from A at the same time. One sails south at 15 miles per hour; the other sails eas...

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Q: Find the vector component of v = (4, – 1, 7) along b = (1, 2, -2) and the vector component of v orth...

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Q: Let R be the region bounded by the functions f(x) = 3x² – 11 and g(x) = 1 as shown in the diagram be...

A: Let R be the region bounded by the functions fx=3x2-11 and gx=1 as shown in the diagram below.To fin...

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A: Given problem:- ∫ y csc(3y2) cot(3y2) dy

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Q: Using the table of values, estimate the slope of a tangent line tangent to the curve f(x) = x³ – 27 ...

A: Let's find. 

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Q: Find the exact value of the trigonometric function of 0 from the given information. cot 0 = - 5,0 in...

A: Since, given that cot θ=-5And we know that cot θ=BasePerpendicular=-51Since, by pythagoras theorem, ...

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A: answer of given question is in next step

Q: Consider the following. y = 5x2 - 20x + 5 (a) Find the interval(s) of increase. O(-o, 2) 1. O (2, 0)...

A: topic- application of derivatives

Q: iven vector u = (-1, –5) and v = (-2, –1) , determine the value of 5v – u in omponent form.

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Q: Let R be the region bounded by the functions f(x) = 2x2-4 and g(x) = 4x as shown in the diagram belo...

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Q: Find the vector component of v = (4, – 1, 7) along b = (1, 2, -2) and the vector component of v orth...

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Q: Let a = ci + j andb = 7i + 24j. Find c so that the angle between a and b is. Round your answers to f...

A: The objective of the question is evaluate the value of "c" for the given vectors.

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Q: The shaded region shown below is bounded by the functions f (x) = -4x2 + 9 and g(x) = 3x + 6, the y-...

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Q: Consider the points A(3, –2, 3), B(4, –4, 1), C(-2, –3, 1), and D(5, 3, –4). (a) Find the volume of ...

A: Gven points,A3, -2, 3B4, -4, 1C-2, -3, 1D5, 3, -4