a. lim g(x) = x→3+ Preview b. lim g(x) x→3 Preview c. lim g(x) = Preview

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Q: dx Evaluate 4+x² ° x dx 4+ x2 Evaluate 88

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A: Given:- (20b)0  20b0 To find:- Evaluate above given expression

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A: We know that; The Quotient rule: fg'=f'·g-f·g'g2   3). Given: z=6x3x3+3y3

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A: Given curve is y=xe-x for x≥1 Apply the area formula  ∫01xe-x dx      ⇒∫01xe-x dx⇒(-x-1)e-x01⇒1-2e-1...

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Q: Suppose top part of the ellipse (x^2/a^2) + (y^2/b^2) = 1 is rotated about the x-axis. Find the volu...

A: We want to find volume of the solid we obtained by revolving about x axis.

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Q: Iu the values of the parameters of f(t) = A+ B sin(C(t – D)). (o. 1) (1-3)

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Q: Suppose that f(x) has a continuous derivative, (T/2 f(-т/2) — 0, f(T/2) = T/4 and dx = 3. %3D 7/2 Ev...

A: Given that:                            

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A: Stoke's Theorem : ∮F→.dr→ = ∫∫ F→.n^ dS

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Q: 9. Use the Intermediate value theorem to show that f(x) = 2x( – 3 has a zero in the interval [1,2].

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Q: Evaluate. tan

A: Given,            tan7π6

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A: functions are given we have to find the rational functions.

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A: Using method of exact differential equation.

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A: Given:  What is the differential equation of the family of lines whose sum of the intercepts is fixe...

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A: As per our company guidelines, we are supposed to answer only the first question. Kindley reposts ot...

Q: x*dy+ (2xy – y³ ktx = 0 Let the substitution v=2; y= Vx; dy=vdx+ xdv

A: Topic:- differential equations

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Q: 1. y'dx-(ty+ y*Jdy = 0 Let the substitution y=2; y=vx; dy=vdx+ xdv

A: Given:

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Q: Solve the differential equation (D² – 1) y = x – 1

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A: In this given question interval  is not mentioned  for tanx .and we know the range of tanx is R  Whe...

Q: Find the indicated integral (if it exists) / e bx dx e12z +1

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Q: Find the linearization L(x) ofy = e8# ln(x) at a = 1. L(x) =

A: We will use formula for linearization at one variable.