If 5х + 3,х <2 { h(x) = 2x2 + 5,2 < x < 4 Is h(x) continuous at (x=2)?

Q: If f(x) = 10x^2-37x+11, then there are two real numbers a<b such that f(a)=f(b)=4, and there is a…

A: The objective is to solve .

Q: If f(x) - 5', show that f(x + h) – f(x) 5" h h

A: given that f(x)=5^x

Q: Let f(x) = 5x^3 + x + 1. If f(2) = 43, then (x − 2) is a factor of f(x).

A: f(x) =5x3+x+1

Q: The function f(x)= x^2 - 6x+4 on which interval will f(x) have a root?

A:

Q: Let _ƒ'(x) = f(x) = (–9x² − 7)³(-9x² + 2)-¹2 -

A: Given: fx=-9x2-75-9x2+2-12. To be find: expression for f'x. Formulas used:…

Q: let f(x)= X4+1 a find f'() + simplity

A: Givenf(x) = x4 + 1x2

Q: Find the derivative of f(x) = V9x8 + 9x (72z + 9)-1/2 (92 + 9x) 1/2(72x + 9) O (928 + 9x)-1/2 -(928…

A:

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

A:

Q: let f(x)=2x^2+1 and g(x)=3x-5. find the following? a. (f*g)(2)=f(g(2))

A: Given function is f(x)=2x^2+1 and g(x)=3x-5.

Q: Let f'(x) = ƒ(x) = (8x² − 8)^(2x² — 6) ¹²

A:

Q: Let f(x) = f'(x) = and - f"(x) = | 7x² 4-52 . Then 7x (5x-8) (-5r+4)2

A:

Q: Let g(x) = x^2 + bx + c. If g(2) = 0 and g(-3) = 0, find b+c

A:

Q: if f(x) = x^2-7x/x-7 and g(x) = x is it true that f=g?

A: Here we have given two functions f(x) and g(x). f(x) = x2 - 7xx-7andg(x) = x  And we have to check…

Q: Let f(x) = x² + 3x 2x + 5 Then we have that f'(x) = (2x+5) (A) — (x² + 3x) (B) (C) ² Which…

A:

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.