Find the differental equation of the family of plane curves described, Draw at least three members of the family. All urcdes of radius k and center on y= X ateal enuatons

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A: These question is based on Limits.

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Q: 31. (a) Use the Quotient Rule to differentiate the function tan x f(x) see x (b) Simplify the expres...

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Q: There is a jump discontinuity at x = 2 and ƒ(2) = 3 %3D

A: There is a jump discontinuity at x=2 and f(2)=3

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A: We have to calculate dot products and find angle

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A: v→=6,-1v→=36+1=37

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Q: Find the least common multiple (LCM). 45, 56, and 150 O A. 12,600 О В. 1,050 С. 1,260 O D. 2,520

A: We can find the LCM as below.

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A: Topic:- Solution of differential equations

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Q: Evaluate the expression. [18 + (-6)](-2) O A. 6 3. О в. Ос. 30 D. -6

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Q: 24. f(x, y) = In(x² + y)

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Q: If a Vector has a contonr and touo events. and sets an angle of 45 degreess then its Components are ...

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Q: (-1)"n For positive integer n, let an = 3" (a) Determine whether the sequence {an} is convergent.

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Q: 3, use the separatibn of Variables and solve the following equatibn %3D

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A: Let's find. 

Q: 13.

A: y=tsint1+t

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A: Given series is ∑k=1∞164k2+48k-7 Determine whether the series is convergent or divergent

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A: I am attaching image so that you understand each and every step.

Q: Let f(x) = x2(squared) − 3x + 4 and g(x) = √x − 3. Find the following (a) f(0) (b) f(2) (c) g(12)

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: y = Cje2" + C2e¯®

A: y=C1e2x+C2e-x differentiate with respect to x dydx=2C1e2x+(-1)C2e-xdydx=2(y-C2e-x)-C2e-xdydx=2y-2C2e...

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Q: (-1)"n For positive integer n, let a, = 3" (a) Determine whether the sequence {a„} is convergent. (b...

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Q: Let f(x) = x² – 3x+ 4 and g(x) = Vx – 3. Find the following - - (a) f(0) (b) f(2) (c) g(12) (d) g(4)

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Q: Question 7 If 1 = (6,9) and v2 = (2, 6), then find 30, + 202. Type your answer in component form, (...

A: Topic:- vector addition

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A: given integral ∫4sin(2x){12-(ln|tanx|)2}

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A: This question is based on solution of homogeneous differential equation.

Q: 12) In Problems 12 through 14, given [ xa ]'= a xa-1, where a is any real exponent. =(x-1) =. Find A...

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Q: e

A: We need to evaluate integral.