Let f (2) = Then Res(f(z))|z=0 3z-4 %3D z2-z %3D O 3 None of these

Q: 3 If f *¸9 (2) dx = -5 g(x) dx = -2 and Find the value of 3 15 -5 g(x) dx 15 g(x) dx = 9

A: Solution of given question is written in below steps.

Q: If Sa f (2) dr = A and f f (x) dz = B, then f f (x) dx = 100 100 %3D %3D %3D

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Q: Let y = (): Identify the value of d'y from the following: dx? x+1 2(1+2x) (x+1)* 2(1–2æ) (x+1)*…

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Q: (x+y)z = x(y + z) for all x, y, z E Z. %3D True O False

A: Topic = Algebra FALSE

Q: 10x2 – 9 x5 + 1 Let f (x) Then %3D f'(9) =

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Q: y²dx + x(x+y) dy=0

A: This is a homogeneous differential equation.Substitution x=vy .

Q: If If y + x³y3 =y e\ + 1, y is function of x, then dx 3 x²y³ - y e* 5y* – 3 x³y? – e* 3,2 O 3 x²y³ –…

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Q: e-(2-1)2-y2_1 (x, y) # (1,0) 10. If f(x, y) = (x – 1)2 + y² %3D (1, y) = (1,0) is continuous at…

A: This question is related to continuity in two variables.

Q: 2X1 + X2 +X3 = 5 X1 +3X2 + 2X3 = 1 3X1 – 2X2 – 4X3 = -4

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Q: k-1 dt ;0 <k < 2 %3D

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Q: x +y+z= 2 2x - y + z = 0

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Q: f(x) – f(4) - Evaluate . where f(x) = Vr for %3D X - 4 x = 5, 4.5, and 4.1. Round results to three…

A: Substitute x=4, x=5, x=4.5 and x=4.1 in f(x)=x to find f(4), f(5), f(4.5) and f(4.1) respectively.…

Q: Could you help me solve and understand d-f?

A: d.The required value is calculated as follows:

Q: x-y-1 If f(x, y) = ,x + 1 x-1 3 , x = 1 then f,(1, 0) + 3 fx(1,0) =

A: We have to solve

Q: Find. y = sec (2x + 6) O dy 12x + 6|V(2x + 6) – 1 9. O dy %3D dx 1 O dy 2. %3D

A: given    formula of for derivative

Q: Find S 2 x(x+3)² dx

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Q: The range of the function f (x) = 2+ V9 – x² is [2, 5] O [0,3] О -3, 3] O [-1,2] O [-3,0]

A: Explanation of the answer is as follows

Q: Q2-For what value of b is the function x2 - 4x + 4 x # 2 f(x) = %3D x- 2 bx + 6 x = 2 continuous at…

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Q: - = 1+ ey-æ+5 %3D C = xe + e*-y C = xe-5- e-y %3D Option 2 Option 1 C = xe – e-y None of the Choices…

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Q: (7) y ) +9y " = 1 %3D

A: Since you have posted a multiple question according to guildlines I will solve first question (i.e…

Q: For #8,9: Let f(x) = x² + 4 and g(x) = 2x – 5. (4 points each) %3D 8. Find (f +g)(2) 9. Find (fg)(3)

A: Given-  f (x) =  x² + 4 g (x) =  2x - 5

Q: 16 12 16 f(2)dz = 9, f(x)dx = 8, || f(x)dx = 2. Let 10 14 10 14 Find 12 14 and | (9f(x) – 8)dæ = 12

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Q: The range of the function f(x, y) = 4 – V4 - x² - y is [2, co) (-00, 2] (-0, 4] [2, 4] [4, c0)

A: Range of a function:The set of all possible values of y after substituting all the possible values…

Q: y = -6x - 12 2x – 2y = 10 (-6, 1) (1, -6) (-3, -6) (-1, -6) YA 7:51

A: Answer and explanation is given below...

Q: (x + y − 5)dx + (3x + 3y + 2)dy = 0 -

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Q: x3+y²+xy . tet g(x, y) = %3D 6. Find ag(x.y) and ag(x.y) ax ду a2g(x.y) and Find a?g(x.y) дудх дхду…

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Q: S23% e* dx Evaluate (8e)* In8e + C (2 e)x + C In2e (2 e)X In2e + C (8e)* + C In8e

A: We have to solve the integral

Q: Let_y=x² +5x³-4x+1 then dy- ||

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Q: Evaluate the function at the given values of the independent f(x, y) = x²y – 9 (a) f(0, 3) f(0, 3) =…

A: The function is given as fx, y=x2y-9

Q: 3ydx – xdy = 2y4 dy, y(0) = 1 a. (11x – 2y^)3 – 8y = 0 b. (11x – 2y“)3 + 8y = 0 c. (11x +2y“)3 – 8y…

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Q: y²dx+x(x+y) dy=0 A xy²=c(x+2y) B x²y=c(x+2y) © xy²=c(2xy) x+y²=c(2xy)

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Q: dy - y - 5x*-3x2 + 2x = 0 dx

A: Option D) None of the choices

Q: Let f(x) = a2 +1, g(æ) = Va+3, h(x) = 4 (go(hof))+(gof) at x=2? %3D Find I-4

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Q: $ーザ+24 to

A: Note: As per our company guidelines we are supposed to answer only first. 5) In this question it is…

Q: az Calcula y z = x4 – 2y3 O 8z 4x3 az -6y? O az 4x – 2y dz = 1* – 6y O dz = 4x3 az = 6y? O 8z 4x –…

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