Find the eccentricity of the conic section. The point shown on the x-axis, (- V3,0), is the focus. The line x = V3 is the directrix. 40 The eccentricity is

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A: 1. Let f(x)=xDefinition of derivativesf'(x)=limh→0f(x+h)-f(x)hf(x+h)=x+hf'(x)=limh→0x+h-xh=limh→0hh∴…

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A: Take the two examples of periodic functions and then solve.

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Q: O f (x) = -6 sin(3x + 1) cos(3x + 1)ecos"(3+1)

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Q: Find X only using Crammers rule 2x+リ-「Z=D2 x2 -y +VZ 2 x? +2y +VN= 4

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Q: 9. 8- 7- 6- 2 9-8 -7-6 -5 -4 -3-2 123456 789 -2- -3- -4- -5 -6 -7 -8 -9- 9786 654 32

A: Topic = Circle

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Q: Let D and H be the following matrices. 9. D = 1 -3 -1 H = -3 Find the indicated quantity. D - H

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A: To find the directional derivative of the given function.

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Q: The minute hand on the backwards clock rotates counter-clockwise 60 times as fast as the hour hand…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. хуz %3D 10, (1, 2, 5)…

A: Given:  a)   The equation of surface is   F(x, y, z) = xyz – 10 = 0   given point =1,2,5 On…

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Q: Using algebraic substitution, differentiate the following |2+ Vx dx

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A: Follow the procedure given below.

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A: This question is based on finding direction cosine using dot product as two perpendicular plane is…

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Q: (z²+2z)* Find dy/dx, given the following: y = (z²+2»)* 3(3=²+2)(²+2)* (2+22) ( 17_36z+10z-24 Vr-4 O…

A: Given: y=x3+2x32x-4   As we know that; The Quotient rule: fg'=f'·g-g'·fg2   The Chain rule:…

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A: We know that equation of plane passing throgh the point (x1,y1,z1) and perpendicular to the vector…

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Q: Find the exact arc length of the curve x ² + 2) from y = Oto y = 5. Enter the exact answer. L =

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Q: I +1 x2 – 1 3 at x = 4 1. f(x) = 3x2 + 2x +1 at x = -2 5. h(æ) : at x = 1 2. f(x) = 9x - 1 at a = 1…

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Q: 2x + 4 h(x) = 1 2x 1 f (x) = 1 –x g(x) = 3( x + 2x 6. | 3 -- 8. a.lim -4 · f (x) d.lim (8 · f(x) –…

A: Given:      fx=1-18x      gx=3x+2x6+4     hx=2x6-2x+13

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Q: x³ + x2 – 4 1. Consider the function f(x) 4.x = x +1+ Note that x² – 4 x² – 4 - x²(x² – 12) (x² –…

A: Solution is given below:

Q: Find the limit of the sequence whose terms are given by 4.9 1 Cos In =

A: Let's find.