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A: Given: A line is passing through the points 1, 0, 4 and 4, 1, 2.
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Q: Integrate ƒ(x, y, z) = x - 3y2 + z over the line segment C joining the origin to the point (1, 1, 1)
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Q: 4. Determine the orthogonal trajectories of the hyperbola 3xy = 5 at point (2, 5/6). Sketch the…
A: To find the trajectories of the hyperbola write dydx by dxdy and solve the system.
Q: Find parametric equations for the normal line to the surfacez=ln(3x2 +7y2 +1) at the point…
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Q: Find the directional derivatives of Ø = x2yz + 4xz2 at ( 1, -2, -1) in direction 2ax – ay – 2az.
A: Answer is in step 2.
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A: There are some conditions for the orthogonal trajectories.
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Q: I have 4 types of 3-D curves, but I need a total of 5 different curves with vector valued function…
A: A vector valued function in the three dimensions is represented as r(t)=p(t)i+q(t)j+q(t)k.
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Q: 4. Determine the orthogonal trajectories of the hyperbola 3xy = 5 at point (2,5/6). Sketch the…
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Q: Find an equation of the normal line to the curve of y = Vx that is parallel to the line 6x + y = 1.…
A: Given that: The curve y = x parallel to the line 6x + y = 1 To find: The equation of normal line to…
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Q: Find the equation of the normal line to the paraboloid z = 2x² +y² at the point (1,2,6). Select one:…
A: Equation of paraboloid To find: The equation of normal at a point P = (1,2,6).
Q: Find a set of symmetric equations for the normal line to the surface xyz = 12 at the point (2, −2,…
A: The normal line to the surface xyz = 12 at the point (2, −2, −3).
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Q: How might the parametrized curve differ from the graph of its Cartesian equation?
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Q: Find the orthogonal trajectory of the family of y=ax
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Q: Use the linear approximation to estimate
A: In this question, by using a linear approximation to evaluate the value of the expression using…
Q: Find the orthogonal trajectories of
A: Given, y=ax2+4ax+4a, where a being paarameter.
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A: To find the bounds, it is necessary to check whether we have to find the surface area or volume. In…
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A: Consider the given equation. x2=C-12y2lny2-1 Find the derivative of the function with respect to x.…
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Q: Find y': %3D Oy =- Oy=--
A: A detailed solution is given below
Q: Find an equation of the normal line to the curve y = x1/2 that is parallel to the line 2x + y = 1.
A: To determine a normal to the curve which is parallel to the given line
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A: First we derivative the given equation then form differential equation of orthogonal trajectory.
Q: What is the standard linear approximation?
A: A linear approximation is an approximation of a general function using a linear function. They are…
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Q: The 50 g bullet travelling at 100 ms-1 strikes the 2 kg block centrally and is embedded within it.…
A: Please check step 2 for the solution.
Q: Find a parametrization for the ray (half line) with initial point (-4,3) that passes through the…
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Q: Find the orthogonal trajectory of the curve x^2 + y^2 = 2 ln x
A: See the details solution in below
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A: Here have to find the unit vector that is parallel to the line tangent to the parabola y = x2 at the…
Q: Find the orthogonal trajectories to the family of curves: -1).
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Q: ) Find an equation of the tangent plane to the paraboloid defined by -- 4x² + 5y² at the point (,-2,…
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Find the orthogonal trajectory of x^3= 3(y - c)
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- Consider a disease where immunity is lost. On average, aftern days, a recovered person becomes susceptible again. Adjust the equationsfor ds/dt , di/dt, and dr/dt in the SIR model to account for this.How can one use a vector-valued function to represent a curve in two dimensions?Define “hyperbolic” trajectories?