Q: 1. Find the orthogonal trajectories of the family of curves x? + y2 = cy.
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Q: Find the partial derivatives fx (3,5) fy (3,5) for the function f(x,y)= y^2/x-y
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Q: The cubic function y = ax3 + bx² + cx + d pass through (0, -6), (1, -2) and tangent to the line 3x –…
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Q: find the orthogonal trajectories of the family of curves x2+y2=a2
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Q: i) Find the orthogonal trajectories of the family of curves: y : 1+ x?
A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems
Q: The curve ax4+bx3+cx2+dx+k passes thru P1 (5, –210), has a critical point at P2 (4, –416), and an…
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A: we have to determine a,b,c and d so that the curve y=ax3+bx2+cx+d will have a critical point at…
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Q: Find the orthogonal trajectories for the family of curves (enter your solution as an equation)…
A: Nothing
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: 4. xy²1₁ X=1, x = 4, y = 0; about the x-axis
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Q: If f(x, y, z) = 12ry - 2yz - 6zx + 7, then the first order partial derivative f = O - (2y – 6x) (2y…
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Q: Find the partial derivative of fy for the function 3 f (1, y) = (3x² +y²)* 6 (3æ² + y°)? 32 (3x² +…
A: To find: The partial derivative fy of fx,y=3x2+y23. Given: The function is fx,y=3x2+y23. Concept…
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Q: Find the orthogonal trajectories of x² + y² – 2cy = 0
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Q: g(x, y) = 6x² – 3y², (/8, /5) Gradient is f(r, y) = tan 6y (16, 2) Gradient is
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Q: Solve y′′(t)+2y′(t)+2y(t)=H(t); y(0)=1 ;y′(0)=0 where H(t)=2t+3 , 0≤t<1 H(t)=3t+1, t≥1
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Q: Find all the second partial derivatives forf (x, y) = x³y5 + 2x*y.
A: All the solutions are given below.
Q: 5. Given that 8x2 w(x, y, 2) VIVE Use partial derivatives to find the maximum percentage error in w,…
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Q: Find the orthogonal trajectories for the family of curves. (Enter your solution in the form F(x, y)…
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Q: 2. y = V4-x , x=0 and y=0 about the y- axis
A: Given that y=4-x2, x=0 and y=0 about the y-axis
Q: 7) Let Z.= 3x2 - y² . Find all points at which |VZ| = 6 %3D
A: There is an ellipse, all points on the ellipse are the solutions of given equation.
Q: 4) Find all first-order partial derivatives w = f(x,y, z) = 2x³y³ – /xyz + 4z6x y3
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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: 2. Find the orthogonal trajectories of the family of curves x2 + y² = 2my where m is a constant.
A: As given equation of curve is: x2+y2=2my Differentiate it with respect to x:…
Q: x² + y² = (2x² + 2y² – x)', (0,¿), (cardioid) -
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Q: Obtain the particular solution for: 2y" +2y=2sinx y(0)=0, y'(0) =1 By using method of variation…
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Q: What is the equation of the curve y = ax* + bx + cx² + dx + e tangent to y = 25x (2,14), to y = 2x +…
A: By verifying options and substitution of point (-1,11) it is verifying option C
Q: (3z²+5z+3)dz (z- 2)(z+3) Integrate:
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Q: Find the orthogonal trajectories of x^2+y^2−2cy=0
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Q: find the first and second derivatives. 1. y = -x2 + 3 2. y = x2 + x +…
A: 1) Given thaty = -x2 + 3On differentiating y with respect to x,
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A: The solution is given as
Q: 6. Determine a, b, c and d so that the curve y = ax3 + bx2 + cx + d so that the curve will have a…
A: Note: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should…
Q: (2)If ø = xyz – 2 y²z+x²z?. Find div grad ø at points (2,4,1)
A: Given that Φ =xyz-2y2z+x2z2 Here we have to find div grad Φ at points (2,4,1).
Q: 4) Find the orthogonal trajectories of the family of the curves x² = 2y – 1+ ce¬2v.
A: Given information : Family of curves : x2 = 2y -1 +ce-2y
Q: Find both first partial derivatives. z = 6x − x2y + 8y2
A: Find both first partial derivatives. z = 6x − x2y + 8y2
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A: It is given that, y=4-2x2 at 1,2 we have to determine the linearization of function. Then use it to…
Q: Find the orthogonal trajectories of the family of curves x2+y2=a2
A: We have to find the orthogonal trajectories of the family of curves x2+y2=a2.
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Q: Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.) x2 + 2y2…
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Q: 3. Find general Golution y" + y= Secx
A: Given that, find the general solution y''+y=sec3x (D2 +1)y=sec3x
Q: i. Discuss and sketch the curve x² + 6 x = -8 y – 25 ii. For the curve y = x3 – 6 x2 + 10 - (a) Find…
A: (i) Given equation of the curve is x2+6x=-8y-25 This can be rewritten as,…
Q: (b) Form the partial equation by eliminating function f from z = f(x?
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Q: Find the orthogonal trajectories of the given family of curves x^2 + y^2 = c^2. *
A: Curves: x²+y²=c²
Q: Make the curve y = ax4 + bx³ + cx² + dx + e pass through the point (1, -8) be tangent to the line y=…
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find ƒx , ƒy .
1. ƒ(x, y) = 2x2 - 3y - 4
2. ƒ(x, y) = x2 - xy + y2
3. ƒ(x, y) = (x2 - 1)(y + 2)
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- The manufacture of 1 unit of a product has a cost (in dollars) given by C(x, y, z) = 90 + 6x + 4y + z where x is the cost of 1 pound of one raw material, y is the cost of 1 pound of a second raw material, and z is the cost of 1 work-hour of labor. (a) If the cost of the first raw material is $11 per pound, the cost of the second raw material is $8 per pound, and labor costs $17 per work-hour, what will it cost to produce 1 unit of the product (in dollars)? $ (b) Find the partial derivative of C with respect to x. Cx = Interpret the partial derivative of C with respect to x. The cost (in dollars) to manufacture 1 unit of a product will increase by $4 for a $1 increase in y and z if x is held constant.The cost (in dollars) to manufacture 1 unit of a product will increase by $90 for a $1 increase in x if y and z are held constant. The cost (in dollars) to manufacture 1 unit of a product will increase by $4 for a $1 increase in x if y and z are held constant.The cost…use Separation of Variables to find the general solution. yy' = xFind the orthogonal trajectories of the curve x^(2) + y^(2) = c^(2)