Find the equation for the principal curvatures, the differential equation of the lines of curvature, for the surfaces. 2z = + b. a ||

Q: a. Determine the equation of the tangent line to f(x) = 2-x² 1 + x b. Determine the equation of the…

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Q: Let y = e=/5 Find the differential dy when r = 2 and dæ 0.5 Find the differential dy when z = 2 and…

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Q: (b) Find the equation of the normal to the curve 4x +2y 10xy at the point (1.2). %3D

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Q: 2. Eliminate the parameter and find the equation of the curve in x,y Curve: x=1-sin?t, y= cost, 0 <t…

A: topic - equation of curve in x,y

Q: 2. If the acceleration function of a certain particle is given by a(t) the velocity function…

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: " Since you have posted a multiple questions, we will solve first question for you. To get remaining…

Q: Let y = (x² + 1)5. Find the differential dy when x = 1 and da = 0.4 %3D Find the differential dy…

A: Given function is y=x2+15. Differentiate y=x2+15 with respect to x dydx=ddxx2+15=5x2+14⋅2x=10xx2+14…

Q: 9. What is the relation between the acceleration a(t) and velocity V(t) at a given time t? [C:2]

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Q: Find the differential dy of the given function. (U y = 3x – (sin(x))2 Need Help? Read It

A: Differentiation y with respect to x , we get differential dy,

Q: 11. Find an equation of the tangent plane to the surface Va+Vy+Vz=4 at the point P(4,1, 1). 12. Find…

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Q: A ball having mass m falls from a tower with heigh h from the ground. The velocity of the ball…

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V3x – 2; from x = 2 to x…

A: Topic - approximation Using derivatives

Q: 1) Find -(d(PE))/dx in order to find the force acting on the object. (from the equation PE=(1/2)k^2)…

A: Given:

Q: In considering normal and tangential components, the t axis is tangent to the curve at the point…

A: True. When a particle moves along a curved path, it is sometimes convenient to describe its motion…

Q: 11. Find an equation of the tangent plane to the surface T+VG+vz = 4 at the point P(4, 1,1).

A: we have to find the tangent plane on the given surface x+y+z=4 at the point P(4, 1, 1)

Q: Find the differential of the function w = I sin(2yz). dw = dy + dz + xp Note: Your answers should be…

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Q: Find the differential of a) y=s/5+3s b) y = e−u cos(u)

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Q: Q4e- find The differential Equabims if you 3t zaē tbe hare There rosts 2. Q4=aë+bë y=e"cos(3t) te'…

A: The differential equations for above roots has been obtained below.

Q: Find the differential of the function. y = V 4 + cos(0) dy =

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Q: The Tschirnhausen cubic is the curve given by the equation x^2=y^3+3y^2 At which point(s)…

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Q: Use the information to find and compare y and dy.                                Function    y = 4x3…

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Q: Q4] Find the equation of the tangent plane and normal line to the surface z + 8 = x e' cos z at…

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V 3x – 2; from x = 2 to x…

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Q: A skydiver’s vertical velocity is governed by m(dv/dt)=mg-k(V^2) where, ? is the mass of the…

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Q: 3. Find the position and velocity of the particle if its acceleration is a(t)=-cos(t)i – sin(t)j…

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Q: Let y = e"/1. Find the differential dy when x =1 and dæ 0.2 Find the differential dy when a = 1 and…

A: This question is related to differentiation. We will use basic differentiation results to solve this…

Q: 30. Find an equation for the tangent plane to z = f(x, y) at (3, -2) if the differential at (3, -2)…

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Q: Find the differential of the function f(x, y) = 3xe2y at the point (5, 3) using Ar = 0.25 and Ay = (…

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Q: 3 E Eii %3D From the properties of characteristic equation of strain LEi 0 صواب ihi O

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Q: Find the equation of the tangent plane to z= e" +x+x³ +1 the point (2, 0, 12).

A: Let a surface be represented by the function fx, y, z = c where c is a constant. Then the equation…

Q: Find the differential and evaluate for the given a and dæ. sin(5z) 1 * = -T. dx 0.75 %3D dy Preview

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the differential of the function. z = x In(y* + 8) = zp dy + xp Find the differential of the…

A: Given:- Z = x ln(y3+8)  H= x5 y8 + y3 z9  To find:- dz and dH

Q: Suppose that a particle moves along a straight line with velocity v(t) = 5 – 4t, where 0<t< 2 (in…

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Q: determine the general equation; variable separable, homogeneous, exact, non-exact DE…

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Q: The radius of a spherical balloon is measured as 4 inches, with a possible error of 0.01 inch. Use…

A: The volume of the spherical balloon is measured as V=43πr3 a)Differentiate V=43πr3 with respect to r…

Q: Which of these differentials is exact? (only one of them is exact) (1 – 2xy)dx + (x² + y²) dy O (22…

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Q: Solbing linet differential equartions X dy 24

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Q: Find the equation of the tangent plane to z = e9 +x + x³ + 6 at the point (3, 0, 253).

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Q: A sky diver weighing 192 lb (including equipment) falls vertically downward from a very high…

A: Given:

Q: 5. What is the slope of the tangent line to the curvex²e-2x - y = 0 at the point (-1, e2²)?a. a. 4…

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Q: Q4] Find the equation of the tangent plane and normal line to the surface z + 8 = x ey cos z at…

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Q: 4. For the function z = e cos(y) find the equation of a. The tangent plane to the given surface at…

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Q: Find an equation for the tangent plane to z = f(x, y) at (3,-2) if the differential at (3,-2) is df…

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Q: w cylinder has a radius R of the outer surface, radius r of the inner surface and height h. R is…

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Q: B. Find an equation of the tangent plane to the surface at the given point. 6. f(x,y) = x² – 2xy +…

A: The given surface is: f(x,y)=x2-2xy+y2Given point is:  P=(1, 2, 1)

Q: Sove the differential equathons (x+ 2y -1) dx-(2x+y-5) dy =

A: Homogeneous equation to reducible form :                dydx=ax+by+ca'x+by'+c', provided ,…

Q: AMoving to the next question prevents changes to this answer. estion 1 * at (4, - 4)? What is the…

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Q: I. Let z = f( x,y) = xy² Find the equation of the tangent when x = 1, y = 2 Find the equation of the…

A: given z=f(x,y)=xy2first find partial derivative of…