^ ^ Find T, N, and x for the plane curve r(t) = -6 In(sec t)i – 6tj. −

Q: Given that f(x) 13x + 10 and g(x) = Vx – 2, calculate. f(g(17)) = g(f(17)) =

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Q: (f – 8)(x) : ||

A: we have  let f and g be two functions and x is the domain of both functions,then…

Q: . Use a cofunction relationship to show that the product (tan 1°)(tan 2°) (tan 3°)· .…. ·…

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Q: Let f(t) = (t-6)4 e3(t-6) u6(t). Find F(s)

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Q: Let f(x) = and g(x) = - Find and simplify: (f + g)(x) Select one: A. x²+3x-1 x(x-1) B. -x+3x+1…

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Q: Evaluate L{f(t)} for t+1, t20, t1, t#2 t=1 t=2 (a) f(t)=3, -3,

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Q: point(s)  (6.1,y) is/are on the circle  x2+y2=49. Determine the missing coordinate(s) and enter the…

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Q: Given f (x) = 73, compute f (4) - f (2).

A: Given: f'x=73  ……1   To find: f4-f2

Q: Find f(t). f(t) = कर 2 1 4s+5

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Q: f(t)=t²(3-2t)³ at t=1

A: Given function: ft=t23-2t3 Find the value of given function at t=1

Q: determine f(t). Q. f(t −1)=(t −1)2.

A: f(t −1)=(t −1)2 Put (t-1) = x f( x ) = (x)2 f( x ) = x2

Q: Given f(x) = x² + 5, calculate: f(-3) b. f(-x) c. f(h+6) a.

A: Given f(x) = x² +5 a. f(−3)= (−3)² + 5 ⇒f(−3) = 9+5 ⇒f(−3) =14 b. f(−x)= (−x)² + 5 ⇒f(−x)= x² + 5

Q: Evaluate the convolution, f(t) * g(t) = 10t *t², then evaluate at t = 11.

A: Given that f(t)*g(t)=10t*t2 Here f(t)=10t   and  g(t)=t2 From the definition of convolution of two…

Q: Let f(æ) = - 7(x + 3)(x – 9). Solve: (a) f(x) > 0 (b) f(x) < 0

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Q: (b) Consider the non-stationary series {Xt}, Xt=t+St+ €t where St has period 2 and ~ iid(0, ²) and…

A: A non-stationary series Xt is given such that: Xt=t+St+εt where St has a period 2 and εt~iid0,σ2.

Q: find f (-2) f(t)=-4t +1

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Q: If g(t) = 4t - t2, find g(t + h) - g(t) h and simplify.

A: Here it is given that;  g(t)=4t-t2 we have to find g(t+h)-g(t)h=?

Q: Find f(t). f(t) = 4s [{{1}} + ) u(t-

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Q: f (x) = x – 2, find f (x). Given -

A: Explanation of the answer is as follows

Q: (d) Are X1 and X2 independent? Justify. (e) Compute E(X1) and V(X1).

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Q: Suppose f (t) = t +5 and g(t) = t2 +10 . Find the expression for ( f g)(t) and hence determine…

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Q: -ind f(t). L ({ 1 (s + 9) 9)³] 3

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Q: Find f(t). f(t) = 4s - 1 +{ s² (s + 1)³

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Q: determine f(t). Q. f(t −2)=(t −2)e3(t−2).

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Q: Find f(t). 2s s3 ]) «(-| f(t) =

A: Given that  Inverse Laplace of {e^(-2s)/s^3) To find Laplace transformation

Q: f(x) = /6x g(x) = v24x %3D %3D Find (f g)(x). Assume x2. O A. (f g)(x) = 72x O B. (f g)(x) = 12,/a O…

A: In this we are given two functions and we have to find out the dot product of that i.e.…

Q: Evaluate f(2) for f(t) = 1 + u₂(t)t.

A: Given: f(t)=1+u2(t)t To evaluate: f(2)

Q: Find g(t)=abt if g(10)=50 and g(30)=25

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Q: Q) Let f(x) = . Find f %3D

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Q: j(x)= 2(x+14) , find j(x)=46

A: j(x)= 2(x+14) We have to find the value of x when j(x) = 46

Q: Given that f(x) = 5x – 8 and g(x) 5, calculate (a) f(g( – 10)) (d) g(f( – 9)) II

A: Given:

Q: f(t) = 2t2; t = 3, t = 3 + h

A: The given function is f(t)=2t2, t=3, t=3+h