Let a(t), 2 < t< 8 be a positive function. Also, let the function 8(t) be defined as a'(t)/a(t) on the interval [2, 8]. Suppose that 8(t) = 4/(t – 1), 2 stS8. Find an expression for a(n + 1)/a(n),2

Q: h(띠)= Jo 2+t+2 h(피) t2 +t+2 2)

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Q: Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

Q: Let f(x) = 6x² + 2x³. Select all intervals where f(x) is INCREASING, (3) (0, ∞) (,0) (-∞, -3¹²¹)

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Q: Let x + 2 f(x) x + 9 f-(- 9) =

A:

Q: Sketch c(t) = (t^2 − 4t, 9 − t^2) for −4 ≤ t ≤ 10

A: Given c(t)=(t2-4t, 9-t2)    ; -4≤t≤10

Q: Find f'(x) for each of the following:< Ax) = 3x³ – 2x +4 b Ах) — 3(х + 2)? -2е a 8x* – 3x Ax) = Ax)…

A:

Q: Given the function fA(x) = x², g(x) = 3x – 4, find the composite function gof (where gof'means…

A: I have find inverse of f the composition

Q: Let f(x) = v9x+ 8 and g(x) = x+9 be functions from R to R. Find the following. a) (f • g)(x) = %3D…

A: We are given f(x)=9x+8 and g(x)=x+9 and we need to find different composition of the function.

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: find all pairs (m, n) of positive integers such that ϕ(ϕ(n^m)) = n, where ϕ(n) is Euler's totient…

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Q: The derivative of f(z) - (+10z) is O6z (2z + 10) O6z (2z+10) O 6z (2z + 10) O 6z+60

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Q: Assume that the function f is a one-to-one function. (a) If f(5) = 2, find f-'(2). Your answer is…

A: Given that to he function f is one-to-one function.

Q: why does F(r(t))=-r/(1+(a-1)t)^3/2 instead of r^3? does |r| just equals to 1+(a-1)t?

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Q: Find a,b to continue the function at x=3 if: x > 3) x = 3 x < f(x) = ax + b 2ab + 1 bx - a +3 3)

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Q: t) For each of the following functions, state whether they are one-to-one or not. (You must enter T…

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Q: The domain of the function f(x)= cosh (x/ 18) is Select one: O [-18, 18 ] OR-{18} OR-{-18, 18 } O […

A: Given- fx=cosh-1x8 To Find- The domain of the function.

Q: If P(t) = 2 and h(t) = 1+3t, compute the following functions and values. If your answer is a number,…

A: Given that : P(t) = 2t and h(t) = 1 + 3t

Q: The equation f (x) = x³ – 9x has a root in the interval [3,5] - O yes no

A: The given equation is fx=x3-9x. Evaluate the roots of the given function as follows.…

Q: Let f(x) = 2x 6x +5 then f(x) is concave down on Select one: O a. (-0,0) O b. (-00, 1) O c. (1, 0) O…

A: We can make it easier for you

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.