The Normal to the curve 2x2 – y? = 1 at the point (1,1) is: %3D 3 y =-*+ y =x+ y = 2x + 1 %3D P. y = 2x -1

Q: Find the exact length of the curve. y = ln(Sec x),   0≤ x ≤ π/4

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Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +…

A: We have to find the equation of normal and tangent line.

Q: Determine the equation of the normal line to the surface In (x + y) = Z 2 at the point (-1,2,0)

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Q: Find the area of the segment cut off from the curve y = sin x, 0 ≤ x ≤ ¹ by the line y = 1/√2. 3r 4…

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Q: The length of the curve y = 3 - 4Vx for 0 < x < 3 is calculated by the integral: %3D Select one: 3 O…

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Q: Find the length of the subtangent and sub-normal at a point of the curve y= bsin(x/a)

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Q: 5. Using tangent line approximation, approximate the value of: a. V9 b. 3.012 – 4(3.01) + 7

A: The objective is to tangent line approximation to approximate the value of 3.012-43.01+7

Q: Find the tangent to y = cotx at x = - T O A. y = - 2x + 2 π +1 +1 OB. y=2x-- OC. y=2x+1 OD. y=-2x +…

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Q: Find for the equations for tangent plane and normal line at P,on the given surface 2 х2 — 3ху —у? -2…

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Q: 1 dt 7+t+3t2 y =

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Q: Find equations of the Normal plane and Osculating plane of the curve y = 2t, x = 2 sin 3t , z =…

A: Consider the equation of a plane as, ax-x0+by-y0+cz-z0=0 Here, a, b, c, are the slopes in x, y, z,…

Q: What is the area of the triangle bounded by the x and y axes and the tangent to the curve xy^2=4 at…

A: xy2=4 Differentiating with respect to x, we get…

Q: 4. y = x2--Inx x = 1 ve x = e

A: Topic- application of derivatives to find angle between curves

Q: Q6/ Find the moment of inertia and radius of gyration about the x-axis of a thin plate bounded by…

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Q: Find the symmetric equations for the normal line LN to the surface S:f (x, y) = 5Vx2 + y? at the…

A: if  f is  function of (x,y,z) then gradient of f is defined asfx i + fy j + fz k ∇f is the normal to…

Q: Find the area of the segment cut off from the curve y = sin x, 0≤x≤ n by the line y = 1/√2. H4 34 y…

A: Let's find area of segment.

Q: Determine an equation for normal to the curve y = at x = x = -2.

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Q: How many points are there on the surface 2 dx+y such that the tangent plane to the surface is…

A: We have given the a=6,b=9,c=9 d=max(a,b,c)=max(6,9,9)=9 The given surface is f(x,y,z)=9x2+y2-z We…

Q: The parametric equations of a curve are given by x = In (VE +1) and y = cosh-' (2t). dy when t = 1.…

A: Given x=lnt+1 and y=cosh−12t We have to find the dydx when t=1 We know that dydx=dydtdxdt.....1…

Q: A. Use Simpson's rule to evaluate -dx ,by taking n= 4. Inx B. Find the length of the curve y = x…

A: Answer

Q: For a χ2-curve with 19 degrees of freedom, find the χ2-value that has area a. 0.025 to its right. b.…

A: a) Degrees of freedom is 19 The chi-square value that has area 0.025 to its right is given below:…

Q: What is the equation of the curve whose tangent line passes through the point sec (In x) dx? (1,2)…

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Q: Find the point on the ellipse x = 2 cos t, y = sin t, 0 &lt;=t&lt;= 2pai closest to the point (3/4,…

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Q: Consider an q-curve with parameters 3 and 14. a. Determine q0.05. b. Find the q-value with area 0.01…

A: The provided information are: Number of parameters (k) = 3 Degree of freedom (df) = 14

Q: Find the slope of the tangent line to the curve y = x e× at (2.5,2.5 e 2.5). dy (2.5,2.5 e 2.5) dx…

A: We know that slope of a line is defined by , m=dydx. Therefore, we need to take the derivative of…

Q: 7. Find the equation of a normal to y = x³ - 3x²+x-1 at x = 3

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Q: How would you evaluate |F-dr, where C is the curve with param etrizati on r(t) for astsb?

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Q: Find the equation of the normal to the curve Y=(1+x) ^6 +sin^-1 (sin^2 x) at x-0

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Q: Find the equation of the normal line to cos x-sin y=0 at y=

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Q: 29. Differentiate the following implicitly to find dy/dx. Then find the slope of the curve at (1,…

A: Given: x3+y3=9 To Find: Differentiate the following implicitly to find dydx.Slope of the curve at…

Q: (d) The curve with equation 2 (x² + y²)² = 25 ( dy (i) Examine by using implicit differ dx Determine…

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Q: Find the normal to the curve xy + 2x – y = 0 that are parallel to the line 2x + y = 0.

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Q: 8. Find ihe point where the normal to y = x + Vx at (4,6) crosses the y-axis.

A: Given :- Equation of line that is y= x+x              The point from which we need to find the…

Q: What is the equation of the normal to the curve x^2 + y^2 = 25 at (4,3)? 5x+3y=0 3x-4y-D0 3x+4y=D0…

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Q: A particle moves along the curve y= /1+x³. As it reaches the point (2, 3), the x-coordinate is…

A: NOTE: Refresh your page if you can't see any equations. . the given point is (2,3) so x=2 and y=3…

Q: Find equation of line normal to plane 3x + 2y – z = 5 and pass througl Origin point.

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Q: Find the equation of the normal line to the graph of e tan(ry) – In(r – 3y) = sin (7z) at the point…

A: Solution is written in below steps.

Q: What is the moment of inertia of this area about the line y = -10 ?

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Q: 3) Consider the fonction (a) The tangent plare to the graph of fCx,y) at the point Co,0) is (b) At…

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Q: Let y=sin(4x).If Δx=0.2 at x=0, use linear approximation to estimate ΔyΔy≈   Find the percentage…

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(8,0,8) on the…

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Q: A plane area is bounded in the first quadrant by the curves y² = -16 (x-4), the line 8x-15y = 0, and…

A: Given the curve is y2=-16x-4 and the line 8x-15y=0 and x-axis. We have to find the moment of inertia…

Q: Find a curve in the xy-plane passing through the origin andwhose slope at the point (x, y) is x + y.

A: we have to find a curve in the xy-plane passing through the origin and whose slope at the point (x,…

Q: Q2: Determine the tangent plane and normal line to the surface x^2+2xy-y^2+z^3=7 at point (1,-1,3)

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 2. Suppose that a particle is moving along the curve 4x2 + 16y? = 32. When it reaches the point (2,…

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Q: Find all equations of normal line at the point (1, 1, –1) to the surface 2 +z² +3 = 2y + y?…

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Q: Q20:- Find the equation of the tangent plane and the normal line to the surface x2 + 4y2 + z2 - 2xy…

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Q: The orea bounded by the curve y=- ond the line xty=3 is equal to ?

A: The given curve is ,  y=2x...........(1) and the line x+y=3...........(2) we have to find area…

Q: Find the length of the curve y= ln sec x, Oln OIn 2+y3 V3 OIn 2+/3 OIn V3 2-V3

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