a) L{te-3t cos 3t}

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Q: ind the definite integcal uoing any method. 3/2 x13-2xdx

A: Follow next step

Q: a) l . Find the length of the curve 20 y= x, 0sx<3 V5 Length= b)! !: Find the area of the surface…

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Q: - y? = 4x, x = 0 to x = 4 %3D

A: To find the area of the region bounded by the given curves.

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Q: f(r) = 5 sin(sin(x)) %3D

A: answer is in next step

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A: We can solve this as follows:

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A: Let's find.

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Q: 2. Given : f(x) = {x² - 3, x+3 6, %3D X = 3

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Q: Evaluate the following definite integrals. Show your solut 1. S eva -dx 2. So sin³ Od0

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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. dx…

A: Given query is to find the integral.

Q: While solving a system of three linear equations to find the intersection of three planes in R 3,…

A: When solution reduces to z=0, it clearly mean intersection is somewhere related on x-y plane…

Q: given the function f (x) = px + 1, g (x) = 3x - 5 and fg (x) = 3px + q, express p in terms of q

A: Given, f (x) = px + 1, g (x) = 3x - 5 and f (g(x)) = 3px + q

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for f(x) = 12 sin (x), a =…

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A: Option C is true

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Q: Is to find the indicated extrema of f subject to two constraints, agsuming that x, Y, and z are…

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A: Here we have to find the inverse of the given function.

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A: The function P(t)=2.8291.484t, where t is the number of years after 2001,models this increase in…

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Q: th Use the ri"-term test to find wether the fottowing Sexies exe divergent or not- n+2

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Q: A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How…

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A: Mean Value Theorem:If the function g(x) obeys the following.  g(x)  is continuous on the closed…

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A: We have to find the general solution of differenrial equation

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Q: Consider the following. 5 lim (1 +- Use l'Hospital's Rule to find the exact value of the limit.

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Q: Calculate the Taylor polynomials T2 and T3 centered at a = 2 for the function f(x) = x* - 7x. %3D…

A: Topic = Series

Q: 1. 3 Consider the parametric surface 7(u, v) = (2uv, u? - v, u² +v²), where u +v < 2. Evaluate the…

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