Given a circle with a diameter whose endpoints are (-4, -1) and (4, 3), write the equation of the circle. O 2² + (y – 1)² = 400 O2² + (y – 1)? = 20 O(x+4) + (y+ 1) = 80 O (z + 4)° + (y +1)² = 20 %3D O22 + (y – 1)² = 10 - %3D

Q: 2. Write the given equation below in standard form. 4x2 + 3y + 6y = 9 (y+1)? =D1 *+ (y+1)? = 1…

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Q: y = x10 + x3. Find y5) (1)

A: Given,           y=x10+x-5

Q: In(y) + 2x + In(x) 2 3

A: We need to isolate the y terms, in the given equation,…

Q: Solve by completing the square: (y-3)-(y-4)(y+3) O A. 1-10,1+Vi0 O B. 1-i10,1+i10 O C. 1-2i2,1+ 2i2…

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Q: 2. obtain the general solution. a.(D² – 3D + 2)y 2x- 9x + 6x. b.(D + 4)y = 5e - 4x. c. (D² + 4)y = 5…

A: (b).   The given differential equation is: (D2+4)y=5ex-4x

Q: ĉu ôu = 0 using the transformations v = .x + y,z = 2.x – y Solve: B.

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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: Consider the equation (34)x = (3y)s where x and y are unknown. The number of possible solutions is

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Q: Y-(92x²2x) (4x + 92x²) Find the dy

A: Product Rule of differentiation : du.vdx=udvdx+dudxv. dxndx=n.xn-1

Q: L(cos3t) = S .a O s²+9 S .b O s+9 s2 –9 3 s2+9

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Q: C.CC-3yz)dxdydz n=2 2. Evaluate

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Q: (3x² In x +x² - y) dx – xdy = 0, y(1) = 5

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Q: x² + y² + 8x − 10y-9=0 Find the Center and Radius

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Q: (3х — 1)° (2х + 3)° 6. 5.

A: Topic = Triangles

Q: 74.(z-2y) -3z (12) |

A: To find the value of the given expression (z-2y)2-3z3(12) at x=3, y=-2, z=-1

Q: (2х + 3у)dx + (у — х)dy —D 0

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Q: Divide. 5y6 – 10y* – 15y³ – 20 5y2 5a – a? – 12 – (–4a³) a?

A: We have to divide 5y6-10y4-15y3-205y2 5a3-a2-12--4a3a2

Q: Z3+2, find |ZI.

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Q: y - y = x C. d. у +у — 7у — у + бу %3D 0 (4) y

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Q: Evaluate Jo (2x - y) dx + (x + 5y) dy. C: x-axis from x = 0 to x = 6

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Q: 6. Find (x + 3y)dA where D = {(x, y) | æ² + y 0}

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Q: Let y = exp /9+9x3). Find dy/dx.

A: Given function:- y=e9+9x3

Q: B. ty" – (t+ 1)y +y = t?

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Q: Solve (√x+x)=√y+y Select one: O a. y (c(1+√x) + 1)² O b. y = (c(1+√x)-1)² O cy=(-c(1 + √x) + 1)² O…

A: The given equation is; [sqrt(x)+x]dy/dx=sqrt(y)+y.

Q: Change (x + 9)? + y? = 169 to x? + y? + Dx + Ey + F = 0. Change x? + y? – 8x – 8y + 16 = 0 to (x-h)?…

A: topic - equation of circles

Q: b. 5.x² 4 C. 4 d. 5x² 12 2

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Q: dy (3x+4x (2x – 1)° , find the dx Let y =

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Q: x° +2 y=- e3x +9

A: Given: As x→∞, y=x6+2e3x+9 To find: limx→∞x6+2e3x+9

Q: 3x2-2 6. Find (a). + 5e*+3 (b). z(3z² – 4)° dz dx x3

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Q: = / y ²³. (X²+1) (3x+4) 5/ (2x-3)(x²-4) Find dy da

A: To find dydx:

Q: T:4x-34+2-2-0 Tz: dx+ Sy-32+4 = 0

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Q: 3x |2y 4y (5х — 20)

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Q: (D² + 9)y = 0

A: