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

Q: . If f(x) = - x and g a) (f + g)(x) = \\+2x (4-x)+(3x+7) = 11 + 2x c) (f. g)(x) = (4-x)-(3x+²7)…

A: We are given the functions and we need to find out the following functions as given in the question.

Q: b) 4(x – 4)(x + 2)² (2x – 1)³ < 0 - -

A:

Q: Show that f(2) =

A: We will show that derivative does not exist using definition. Then we will use geometry.  Calculate…

Q: 5) — = [(-D)" (2-1)", when 12-1}<1. n=0

A: Introduction: A geometric series is a type of series which is in the form as follows:…

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

A: Rewrite the given equation.

Q: Divide x – x4 + 3x³ + 2x2 – x + 1 by x³ – x² + 1, finding the quotient q(x) and remainder r(x).…

A:

Q: f(x) = -9 f'(x) = -(x²+9) (x²-9)2 f"(x) = 2x(x²+27) (x²–9)3 4. Given a) Provide a complete analysis…

A: a)

Q: 3. Invent two interesting and original positive integers a and b. Let f(x) = ax +3. (a) (b) What is…

A: Given function is fx=ax+3. To find:  a  f10   (b). A number x such that fx=b Solution: Given…

Q: ALL for f*) Such tatt FIND FUNC TIONS Vx - x² +1 :(^),f

A: The given derivative of a function f(x) isf'(x)=x-x2+1x

Q: A0) = 2, A2) = 5 and f(n) = 2 An - 1) +3 (n - 2) + fAn - 3) for all n> 3. Find f(4).

A: Solution:

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: V. b) Let X₁. X₂X128G(2,4), by CLT find P(7 < X < 9) use (N(2)-0.977).

A: Given that X1,X2, .....X128 ~G(2,4) then using CLT we have to find P(7&lt;x̄ &lt;9)

Q: Indicate the least integer n for which f(x) is O(x¹) if (4x³+2)(8+3) f(x) = +1

A:

Q: Show and use d(Xn, FCN))<« d(Xn-1 'x) Vny? To prove X = fx) %3D

A:

Q: 1 Expand f (z) = in the domain 4 < |z| < 12 (z-4)(z-12)'

A:

Q: Z is the set of integers, R is the set of real numbers. 4) Find the inverse of functions a) f:…

A: (a) Consider the function, f:[0,∞)→[0,∞) defined by fx=x2+12 For x∈[0,∞), fx∈12,∞. That is, range…

Q: let fAg be funcbions that sabis fy fla)= -4 A g la)=-9. find h'la) for: a) h(x) = 2f(x) c) h(x)= 10…

A: Since multiple sub parts ate asked, I am answering first 3 subparts.

Q: 17. Let P1.Pn be positive real numbers such that P1+ + Pn=1. (a) Prove the following: @P² ≥ (ii)…

A:

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

A:

Q: 10) What is the domain of f(x)= vx + 5? A) {x|x 2 -5} B) {x|x 2 0} C) {x\x> -5} D) {x|xs -5}

A: Domain is set of collection of x for which f is defined

Q: Rx) = 3* f(x) = 3* -4 -2 2 4 y y 10 10 5. -4 2 4 2 -5 -5 - 10f - 10 y y 10 10 -4 2 2 4 -4 -2 4 -5 -5…

A:

Q: Zero(s) of multiplicity one: Zero (s) of muit iplicity jwo Żerols) of muitnpncitj inree:

A: multiciplicity is no of times repetation of zeros that is known by putting given equation to zero.

Q: consider the function f(2)= x³ +32+1 in the interval [-3,3]; we can say a) f has no zeroes in the…

A:

Q: What are the roots of the function f(x) = x³ + x² − 7x -3? O 3, 1+√2, 1-√2 O -3,-1+√2, 1-√2 O 1, 3,…

A: Solution :-

Q: Let f(x) 273 find f(") (x). O a. (-1)"(2+2)! 4743 O b. (-1)" '(2+2)! 4013 O c. (-1)" (2- 2)! O d…

A:

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

A:

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

A:

Q: 3 را (x) = 2x+7 cl if -5 ²x C1 X = 1 8 If 12X=3 7 11x-2 31 if x > 3 A) use 3-step formula B) is f…

A:

Q: Let A =[1 -1]            [2 0] and --->x =[ i]                  [1 + i] . SHOW that Re (A--->x )…

A:

Q: Prove that In( +VI-X²³) = In ( ¹+ √1-x²) sech ¹(x) =

A:

Q: Prove algebraically that  A+A'B'=A+B'

A: We have to prove algebraically that  A + A'B' = A + B' We know that, the distributive property  A +…

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: 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

Q: 7. Which of the following relations are true if x(t) is real? a) X(f)=X(-f) b) X(f)=-X(-f) c)…

A:

Q: x -x-2 Find f"(3) if Ax)- x-2 O a) 1 O b) -1 O c) 2 d) -3

A: using quotient rule

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.