Integrate counterclockwise dz by Cauchy's formula 9. - 3 counterclockwise around the circle C : |z – 3 – 3i| = T. 2 - dz || -

Q: 3 b) x² -3x+2 dx Sketch the graph! y

A: Given function is                                                          y=∫13x2-3x+2dx now…

Q: graph this translation y=2sin2x-3

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Q: Evaluate cosh(72) dz, C the line along the imaginary axis from to 2i. cosh(72) dz

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Q: (4) Find the circle a(x² +y³)+b(x+y) = 1, which best fits the following data. (0, –1), (–1,0),…

A: Given that a(x2+y2)+b(x+y)=1 satisfy the given data (0,-1),(-1,0),(1,-1),(1,1)  that is it gives…

Q: what is the directrix of this? (x-4)²=-24(y-2)

A: The given equation is  (x-4)2=-24(y-2)

Q: Consider the circle drawn in the xy-plane with center point (-5, 12). (x,y) (a) Determine the radius…

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Q: Use the two points, A = (-0.9, 0) and B= (0.9, 0) and the hyperbolic distance formula to find the…

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Q: There are four questions about this problem in the test shown in random order. Out of 1000 customers…

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Q: Draw the bifurcation diagram for à = (x + 1)(x² – 2.x +r).

A: We are given : Now, the bifurcation diagram for this is :

Q: Evaluate f (3x²y — y²)dx + (x³ - 2xy)dy, where C' is the parabola y = x²/4 from the origin to (2,1).

A: The given problem is to evaluate the given line integral of vector field over the given path C is…

Q: Y = 3.065 x + (-35.96)=0.6451x + 46.92 an/Fear medial ing au of a t from asur oxim bial hat se toc…

A: Y= 3.065x + (-35.96) = 0.6451x + 46.92 We have to find value of f(x)

Q: Given y2 - 2xy = 1 a) Find y' b) Find y" and make sure your answer y" is in terms of x and y only.

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Q: What is the value of y in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)? Rectangular form answer please

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Q: [22-R] [CLO 9] Give an equation for the circle with radius 5 units, centered at the point (−3, 8).

A: given radius of circle is 5 units and centered at the point (-3,8)

Q: Determine the 2.x2 – 4x + 6 dx using the definition. (hint: lim Rn)

A: Given: ∫12 2x2-4x+6 dx  To find: Value of the limit.

Q: Use the Midpoint Rule with m = n = 2 to estimate the value for R= [0, 4] × [0, 6]. √ √ ( 3x + 2y) dA…

A: Sol:- To use the midpoint rule with m=n=2, we need to divide the rectangle R into 4 smaller…

Q: Evaluate o y dx – x³ dy, where C includes the two circles of radius 2 and radius 1 centered at the…

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Q: Evaluate f" Na-*) /x² + y² dydx, using polar coordinate. -a

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Q: (x + 3)² 64 - - (y – 5)² = 1 - Distance from the center to each focus is:

A:

Q: Explain the geometric meaning of r'(t).

A: Let the function is given as ,  rt=ft, gt, ht The derivative of the function is, r't=f't, g't, h't…

Q: Write the standard form of the equation of the circle centered at (h, k). Center: (-4, 1); Passes…

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Q: Find the inverse of the circle x2 +y? = a?, the centre of inversion being the origin.

A: given circle is                                                 we know that inverse of a function…

Q: у4у? -16у +19 dy (y-2)°

A: This indefinite integral can be solved by the substitution method.

Q: Points D(z), E(2₂) and F(z,) lie on a cir E and F intersect at A, B and C. A, B, C a (a) Find the…

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Q: Identify the conic of r 1 cos0 Answer.

A: Topic:- algebra

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.