A particle moves along a line in such a way that its velocity at time t is u(t) = tP + 4t – 32 (measured in meters per second). (a) The displacement of the particle during the time period 1

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A: Given function is as below : C(x)=2x2+6x+12 Marginal cost can be given by Derivative of C(x) .…

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A: Calculate partial derivatives

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: The function that depicts the path of quadcopter is as follows:…

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A: We find equation of tangent to the curve

Q: 3) Estimate Y(2) using Euler's method with 0.5 long dY intervals. Y - 2X and Y(1) = 0. dx

A:

Q: (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of…

A:

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A:

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: The function that depicts the path of quadcopter is as follows:…

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Q: a) Show that if y = V1 + sin x then =: %3D b) A manufacturer estimates that x units of a particular…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is  the revenue…

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Q: 2 (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path…

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Q: (6) Find the orthogonal trajectories of the family of curves r = 3C sin 0, where C being parameter.

A: Orthogonal trajectory curve of a family of curve is defined as a curve which intersects every member…

Q: Use variation of parameters to find a particular solution of the ODE y" – y = 2e".

A: Given differential equation is  y''-y=2ex we have to find  the particular solution of this…

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Q: b) Find the mixed partial derivative at the point (1, 2). g(x, y) = sin(x) In (2y) + y ln(x) + 2xe³x…

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Q: Using the method of characteristics, find a solution to the partial derivative equation xux + uy = u…

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Q: 8. Find the length of the curve y = e on the interval 0, ln 2| %3D

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Q: 6. Locate the absolute extrema of the function H(x) = - x* Inx on 1 3 2' 2 Give exact solutions.

A: We have to find out absolute extrema

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Q: A particle moves along the x-axis with velocity given by v(t) = 5 sin (t) for time t> 0. If the…

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Q: Verify that the indicated expression is an implicit solution of the given first-order DE. Find at…

A: Consider the given expression: ln2y-1y-1=tAnd the given first order differential equation is,…

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Q: 2 35) Find a curve through the point (-4, 1) whose length integral, 1 s y s 2, is L = 1 +

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Q: A particle moves along the x-axis so that at time t\ge 0t≥0 its position is given by…

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Q: A/ Integrate TWO only 2x dx 1) S- 2) S 4e cos4x dx 3) x In(x + x)dx x +x+1 B/ Ali is filling a cone…

A: As per the guidelines we can solve 2 problems

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Q: A particle moves along the x-axis so that it’s position at any time t≥0 is given by…

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Q: Q2 (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path…

A:

Q: Q2 (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path…

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Q: (b) 22). Compute the partial derivative frryz for f(x, y, z) = cos(cos(x³ + z²)) + x² In(y² +

A: Given f(x,y,z)=cos(cos(x3+z2))+x2ln(y2+z2).We need to find the partial derivative fxxyz for the…

Q: 2) Let f(x, y) = x sin(2y) + 5y¹. Find fyyyyyyyyyy (x, y) (10 partial derivatives), explaining how…

A: Here the given function is f(x,y)=xsin(2y)+5y4x. We have to find the 10 times partial derivative of…

Q: 9) A function y(x) is increasing and has upward concavity on the interval [-2, 3]. Would a…

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Q: 3. The cost C of manufacturing transformers in a factory varies with the output N per day according…

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Q: A particles velocity is 7 cos(2t) meters per second. at time t=0 its gone  2meters, where is it  at…

A: The velocity of the function is given as:

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: The given path as y=fx is y=2.15+2.09x−0.41x2 for 0≤x≤3.6. The arc length is calculated by…

Q: 4. Determine the constant a,b, c, and d so that the curve defined by f(x) = ax³ + bx² + cx + d has a…

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Q: A particle moves along the x-axis with acceleration given by 5T sin (at) for time t > 0. If the…

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Q: 12. If z = 2xy – 3x²y and x is increasing at 2 cm/s, determine at what rate y must be changing in…

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Q: Q2: Find Partial derivative of the function with the respect with each variable f(x, y) = (x² - 1)(y…

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Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: We will find value of function inside integral and then find end points of interval .At end will…

Q: Riemann sits on the line normal to the curve y=x2 -3x+2 at x = 1

A: Given           y=x²-3x+2 and x=1  Slope of the curve is given by =dy/dx

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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 the second partial derivatives v = sin(2s^2 − t^3 )

A: Consider the the function  v=sin2s2−t3

Q: (6) Find the orthogonal trajectories of the family of curves r= 2C sin 0, where C being parameter.

A: See the detailed solution below.

Q: Once again, a particle travels at velocity t – 1 at time t. Divide the interval 0, 2 into 2k…

A: A particle travels at the velocity t-1 at time t.  We now divide the interval 0, 2 into 2k intervals…