Vx? + 9 – 3 lin x2 x-

Q: 1. x? -y - 4x + 6y – 11 = 0

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 丰 ZZ= ? А. X В. U С.Т OA O B

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Q: f (x) »J3+X and glta)- 4-5x ?? D) (gof)16) ??

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Q: rvdxdy ( R nd x 2 0, y 2

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Q: f6)=3x"+2Xtl, Find flo), and fC-1)

A: The given function is -  f(x) = 3x2 + 2x + 1 We have to find f(0) and f(-1).

Q: A x в) о 1 D) x^2

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Q: t hCx) = 6+3+2x? fincl h(2). %3D

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Q: Evaluate I = = / x*(x² + 4)³/ª dz

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Q: av2 (x³ – 2)(2a? – x²)2 dx

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Q: 36'(x) -2f(x)=He*+2 C0)=0

A: given that, 3f'(x)-2f(x)=4e-x+2 with f(0)=0.

Q: R x-7 11 5y T.

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Q: (c) 2x? -7x+3 = 0 (Home work) (d) 3x? - 5x+2= 0 (H.W) amplot

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Q: O SS -İ 2 1 + √√ x² + y² ) dj d x

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Q: (x-C,)' + y² = C;?

A: (b) In this question, we have to find the differential equation for the family of curves.…

Q: x²u ne x*u =xy

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Q: хету dA, R 3 [-1.2] x [0, 1] R

A: We have to solve the following integrals: ∬RxexydA  Where, R=-1,2×0,1

Q: o<×くT ② Foのコ 2 [:

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Q: y = x - 2|-1? A A В C O None

A: We have to find the graph

Q: O{x € R\x² +1 = 0 Ofxezlx² = 9}

A: Set theory: x∈R|x2+1=0x2+1=0x=±iWhich is not in real number.So this set is empty set.

Q: y=² - 2, 2.3 X = t? - 2, 0st< 8 %3D

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Q: (x² + 8xy + 16y²) ¹/3. (x+4y)¹/3 [?] + [ ]y Enter

A: Question is solved.

Q: (x? + 3x — 45)dх J«+ 3)(х + 12)(4х — 3)

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Q: P(X< 1 |Y = 2)

A: Given, To find the value of

Q: 2. (x* + y?)(xdy + ydx) - ху(xdx + ydy) -0

A: A detailed solution is given below

Q: (ii) 4.xÿ + 4ÿ + y = 0, Va = z.

A: Please check step 2 for the solution.

Q: inlメ- Vx?+* ) X→ め

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Q: y' = x^3 - 2xy when x=1, y=1

A: Given differential equation:   y'=x3-2xy   when x=1; y=1   y'+2xy=x3:  is a linear differential…

Q: + y² = 0.1, then ces)

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Q: 18. (D² + 36)²y = 0 %3D

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Q: |r+ 1| x² + 15 (c) f(r)= %3D

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Q: x²y+ 2xy = x + y ise y =?

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Q: dx V4-x? 2.

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Q: X-2 +3t 9=1- 5t Ze 4+7t ? ans. d= o

A: The given question is related with the distance between a point and a line. Given a point P12 , 1 ,…

Q: m(z + 3i) = 6

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Q: r(0) =D ti + 3j + (를2 (를 B12 )k; (0, 3, -8/3)

A: Question no 28. Given that: rt=ti+3j+23t32k,     0,3,-83

Q: 3) メo 4-2 find x t Y :

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Q: 1) 4 + y² + (9 +x?) = 0 %3D

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Q: (D2 +DD'+D'-1) z = 0

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Q: 2 dA; R= {(x,y): 0sxs4, 9sys 16} R

A: Double integration

Q: fa)if fcx)= V 3-x? ?.0<Xs Vi13

A: Explanation of the answer is as follows

Q: r1 %3D 0. elect one:

A: Answer: False

Q: J 7+6x - x²dx

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Q: (i) P {X a} and (ü) P {X > b} = 0.05

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Q: Fx)- Xで +2 gu)Jメ-2 %3D

A: Given that f(x)=x2+2ex22 and g(x)=x-2 Then composite function f∘gx and g∘fx are :…

Q: fx(x) = 2e¯A* - 2x 1,2....,) %3D

A: Given, fxx=λe-λx Consider the given function as fx=λe-λx To find mean and variance

Q: 1-r² 8. r dz dr de.

A: Explanation of the answer is as follows

Q: dx Evaluate Jo 9x²+4

A: We use standard formula to solve this problem.

Q: B. y = Inx and x - y - 4 = 0.

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Q: where u=24 x+86. Then A

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Q: Q 2 Evaluate: 2nsin(пx?) -dxdy. x2

A: A integral is given

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.