la). Show that f (x)3(x-2)-Inx=0 has at least one root between 1 and 2. !3!

Q: {-) Evaluate the domain of f(x)=Ven(Sx-XE)

A: The given function is f(x)=ln5x-x24

Q: Let S be the part of the graph of the function x² + y² that lies above the disk x² + y² ≤ 4. What is…

A: The surface is the part of z=x2+y2:

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

A:

Q: 4 find the difference quoitent of... f(x) = -√x-19

A: To find the difference quotient of the following function.fx=x-19

Q: 2x - 3x + 13x+a if x#2 f(x) = . X-2 b if x = 2

A: Solution:- It is give that f(x) is continuous at x=2  and the given function is  f(x)=…

Q: Determine. '{F}. 4s2 + 3 sF(s) – SF(s) – 2F(s) = - s + 4s

A: Rewrite the given equation.

Q: Which radical function has a domain of (xe Rx≤3) and range of (y e RIy2-4)? Oy--√x+3-4 Oy--√x+3+4…

A:

Q: 13) Use the product rule, quotient rule and/or chain rule to differentiate each of the following…

A:

Q: (lx) +3, x≤-3 Q4) Check the continuity of f(x) = -2x -3<x<3 " (6x + 2, x ≥ 3

A: To check the continuity of given function,

Q: 5. Which of the has a domain of (-o, +c0)? a. f(x) = x b. f(x) = x2 c. f(x) = x d. f(x) = x*

A:

Q: 3.) flx) x+2

A:

Q: 02: Let f(x)= x' – 7x+ 2, 0sxs1. 1. Show that f(x) has exactly one real root in the indicated…

A: Answer

Q: The zeros for Ax) = x-4x-9x + 36x are 1) (0,+3,4) 2) (0,3,4) 3) (0,±3,-4) 4) (0,3,-4)

A: Using method of synthetic division to find factors of f(x).

Q: 77. Show that if f is a quadratic polynomial, then the SDQ at x = a (for any h + 0) is equal to…

A:

Q: In(1+ 5.x?) 2 – 3x Differentiate with respect to x.

A:

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: 18. 2. If f(x)=3x²-7 for all real numbers x, which of the following is equal to f(3) +ƒ(4)² A. S(0)…

A:

Q: 3.fCx)3D63X²4X+2 x<1 2x-1 X71 Part A: IS f(X) lontinuous ar X-1? JustfY answer. Palt…

A:

Q: What is the x=g(x) that will diverge the root of f(x) = x3 + 4x2 - 10?

A:

Q: Is Z²-1 2-√√2²+4 analytic in 12/2

A: Given:We have to find the following function is analytic or not. =Ƶ2-1Ƶ-Ƶ2+4

Q: 2х f(x) = ,x 1

A:

Q: An efficiency study of the moming shift at a certain factory indicates that an average worker who…

A:

Q: Let frx) = (x²+2x), and g(4)=(1++) find gof and f.g.

A: Given, fx=x2+2x and gx=1+1x.   The objective is to find g∘f and f∘g.   g∘f is found as follows:…

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.

Q: Let fx)-1+x+x² and h = 0. (5+1)-(5)-(1)? (a) Does O Yes No Well done! (b) Find f(x + h). (c) Does…

A: We need to find function.

Q: ƒ(6) = -tan(x + ²) where -n ≤0 ≤n?

A: we need to graph the function   where explanation and graph in step 2

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.