||r(t) × r"(t)|| 13 Use the formula k(t) to find k(t r(t) = ei + e¯tj K(t) = %3|

Q: (a) Find the nested from of f (x) = tan³x – 3tan²x – 2tanx + 5 and hence find f(2.6) roundoff to 4…

A: We are given  f(x)=tan3x-3tan2x-2 tan x+5⇒f(x)=(tan2x-3tan x-2) tan x+5⇒f(x)=((tan x-3)tan x-2) tan…

Q: | g(x) dr = 15, find / [3f(x) + 5g(x)] dr. If f(x) dx = 28 and If %3D %3D

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Q: given g(s)=7s2+1/s What is g(s+h)?

A: To Determine: What is g(s+h)? Given:  g(s)=7s2+1/s  Explanation: we have…

Q: (3) E{g|(X)×g (Y)} = E[g{(X) × E{g2(Y)/X}] %3D

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Q: 00 Let f (x) = a" and g(x) = nx". If f(x)g(x) = > ana", then what is an? %3| n=0 n=0 n=0

A: We multiply of f(x) and g(x) and camparing itn with given equation. See 2nd step.

Q: Find f(t). 1 <{{(5+5)3}

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Q: Show that (a) x(t) * 8(t) = x(t)

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Q: (x² for x < 2 Evaluate: g(x)dx where g(x) =16 – x for x 2 2

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Q: Find f"(x) for the functions x² +5x f(x) = ex b. f(x) = (x² – 1)e* a.

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Q: A store noticed that it could model its yearly profit by the function p ( t ) = 0.3 t 2 + 4.8 t − 9,…

A: The function is pt=0.3t2+4.8t-9.   Substitute 1 for t in the equation pt=0.3t2+4.8t-9.…

Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* (t) 3ti+ e-ti = e

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Q: (153) (b) Let g(x) = 2***. Find gs"(x). II

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Q: Find [3f(x) – g(x)]dx = i if f(x)dx = 5 and g(x)dx 10 %3D

A: See the details solution in below

Q: Let f(x) = -4x+ 2. Find the largest & so that f(x) - f(a)| < e when |x-a| < 8. S .

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Q: Find [2f(x) – g(x)]dx = i if f(x)dx = 4 and g(x)dx = 50

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Q: f(x) = x² %3D g (x) = [x/2] Select the correct value for f o g(-3/2). O 1 O 3 O -1

A: By definition, a function is a special case of a relation between the members of two sets. It is a…

Q: let f(X)=5x +(-3) find the largest & sothat [fx)-F(a]]<E when(x-a/<8

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Q: F(k) = (0.5)* and g(k) = (0.25)* %3| %3D Suppose Find T(8) by using the convolution where T(k) =…

A: Given: fk=0.5k, gk=0.25k for finding value of T8, first we find Tk

Q: | [10f(x) – g(x)]dx if Find 5 5 f(x)dx = 7 and g(x)dx = 6. %3D | [10f(x) – g(x)]dx = i

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Q: f(x) = 3(8x – x2)/256 for 0<x. Determine P(2<X<4) %3D

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Q: Find g(t) if g(t)= (f*g)(t) = L¹ ((-2/s +3/s² - 2/s³)F(s))

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Q: Please

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Q: Given that f(x) = x? + læ and g(x) = x + 5, calculate. f(g(1)) = g(f(1)) =| %3D

A: To find the following

Q: Find t(4)(n) for the function t(n)=3n-1/3 +2n5/3

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Q: |(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). 3 r(t) = ei + ej K(t)

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Q: Find F(s). F(s) = L {(4t + 1) U(t − 1)}

A: The given problem is to find the Laplace transform of the given function.Given function f(t) =…

Q: -at EX:- Find the F.T. of g(t) = e + >

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Q: Find f. f'(x) = 16x3 + x > 0, f(1) = 5 f(x) =

A: We can solve as follows

Q: f(x ) = x2 g(x) = [ x/21 Select the correct value for f• g(- 3/2). O a.-1 O b.0 Ос. 1 O d. 3

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Q: - 8 Let f(x) 1 and g(x) x + 3 Find and simplify the following, giving domains in interval notation:…

A: As per pur guidelines, I can answer only one question and three subparts of a question.

Q: a. Use the formula к(t): = k(t): = ||r' (t) x r"(t)|| ||r' (t)||³ r(t) = e¹¹ti + e-tj to find k(t).

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only the…

Q: [6f(x) – g(x)]dx = i if f(x)dx 5 and g(x)dx 10

A: