Find equations of the following. 2(x-4)² + (y - 3)² + (z − 1)² = 10, (5, 5, 3) (a) the tangent plane (b) the normal line (x(t), y(t), z(t)) = Need Help? Read It Watch It

Q: 2 -1 c = y L 2₁ 3₁ y = g(x) + 1 For what x-value(s) does the function pictured have horizontal…

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Q: coth¯x dx = x²-1 coth¹x + 2 1 / + C Prove that the right side is equal to the left side

A: The problem is asking us to prove that the integral of coth(x) dx is equal to x^2 - coth(x) + 2 + C.…

Q: (8) Given x²/3-y²/3 - y = 3, find ae equation of the tangent line at the point (1,-1).

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Q: he slope of the line tangent to the curve y = x -8x3 + 22x2 - 24x +9 at x=1 is (a) -2 (b) 2 (c) 0…

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Q: Show

A: If a tangent is horizontal, then change in y with respect to x should be equals to zero And If a…

Q: The slope of the tangent line to the parabola y = 2x + 5x + 7 at the point (- 4, 19) is: The…

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 16x² +…

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Q: Solve the problem. 23) Find the points where the graph of the function have horizontal tangents.…

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Q: (2) (Distance) Using techniques from this class, compute the distance from the point (-3,9) E R? to…

A: We first find the equation of the line joining (0,0) and (1,2) We are going to use the two-point…

Q: e point P(7, 1) lies on the curve y = Vx - 6. (a) If Q is the point (x, Vx – 6), use your calculator…

A: The points P and Q are given by, P7,1Qx,x−6

Q: (f) Draw number line indicating where f" is + or - or 0 or dne (g) Find all inflection points (h)…

A: Given, f(x)=ln(x2+1)f'(x)=2xx2+1f''(x)=2(1-x)(1+x)(x2+1)2 (f) To draw the number line indicating…

Q: Find the equation of the line tangent to y = -3x² + 3x + 2 at x = -1. Oy=9x−1 y=-62-5 Oy=9z+5 y =…

A: given y=-3x2+3x+2 at x=-1standard form is  y=mx+cwhere m is slope of line m=dydxdxndx=nxn-1

Q: Find an equation for the linear function g(z) which is perpendicular to the line 7z – 6y = 12 and…

A: Given the equation of a line 7x−6y=12

Q: The equation of the line tangent to the differentiable and invertible function f(x) at the point (5,…

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Q: Here is a review question, do you remember how to find tangent lines? Find the equation for the…

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Q: In the equation, y = Bo + B₁x₁ + B₂x₂ + u, B₂ is a(n). independent variable dependent variable slope…

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Q: Find points on the curve y = x²e where the tangent line is horizontal (write points in the form (x,…

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