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: The domain of the function f(x) = v2x- 3 is -) a) b) c) (-0,2] d) (-0,3] b d. a O c

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Q: 1. f(x) = (3x² – 5)(2x* – x) 2. y = (6x³)(7x*) 3. y = (3x2 -1)(x² + 5x + 2) %3D -

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A: Given : z=fx,y=x+y2,2,7.

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

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Q: Let f(x) = (x – 8)² + 4, æ > 8. Determine f-'(x). f-'(x) = ||

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Q: Show that /I +x 0.

A: Mean value theorem: Let f be a function satisfying the following properties: 1. f is continuous on…

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A: Given,

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A: Given, f(x) = x2 - 2x - 8

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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: Show that there is a real number t such that (e^−t) − (t^3) = 207/(t^4) + 1.

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Q: 3. Hallar una serie de potencias centrada en c = -3 para la función f(x) = 1 2х-5 a) Σ (3x)* 2-1…

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Q: Which of the following is not the test interval of the function f(x) = 1/x +2x

A: The given function is f(x)=1x+2x Differentiating the given equation with respect to 'x', we get…

Q: Suppose that the average number of M= (32+27t)/(2t+7) where t is the number of days on the (a) Is…

A: Given that: M=32+27t2t+7 Simplify it. M=27t+322t+7=272-1252t+7

Q: Given f(x) = 18 - 9x^3 Evaluate the two bellow

A: Known fact: For any invertible function, it is true that f∘f-1x=f-1∘fx=x for all x.

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Q: Let (a,m) 1 with m>1 and let f = expm (a). Then

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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.