Vx-2 a) Evaluate limx→4 without using L'Hospital's Rule, i.e. using a strategy we x-4 studied in Chapter 2. Vx-2 b) Now use L'Hospital's Rule to help you evaluate limx→4 x-4 c) Explain why L'Hospital's Rule could not be used to evaluate limx-4 x-4 Note that you just need to explain why it can't be used; you do not need to actually find the limit.

Q: Vx2+3 lim X-

A: limx→∞x2+3x=limx→∞x2(1+3x2)x=limx→∞x(1+3x2)x                         =limx→∞ (1+3x2)     =1

Q: The expression x^(3)(x-y)9-y^(3)(x-y)9 can be rewritten as (x-y)p(x^(2)+y^(2)+qxy ). What is the…

A: The expression x^(3)(x-y)9-y^(3)(x-y)9 can be rewritten as (x-y)p(x^(2)+y^(2)+qxy ). What is the…

Q: 3x² + 4x + 5' (e) lim 6x² + 2

A:

Q: 2 F5V/² W

A: let f(w)=5w25

Q: Factor f(x) = x¹ - 2x³ = x² - 2x - 2 € Q[x] into two irreducible quadratic polynomials over Q. -…

A: We have to factor the given function.

Q: Which function pair was used to create f( g (x) ) = (2x)^2−4 ? a) f(x)= −4 ; g(x)= 2x^2 b) f(x)=…

A: In option d), it is given that, fx=x2-4 and gx=2x Thus, the composite function fgx is given by,…

Q: Suppose, you have a quadratic polynomial equation, y=x^2−4x+3 and the value of x can be any randomly…

A: When X= 1 then Y= 0 When X=2 then Y= -1 When X=3 then Y= 0 When X= 4 then Y= 3 When X= 5 then Y= 8…

Q: what is the coefficient of x^4 in (2x+1)^5

A: 2x+15 Comparing with a+bn, we get a=2x,  b=1  &  n=5

Q: 4. lim ¥3-ェーv3 エ 5. lim 2r2 – 3z+7 3ェ+ 3-3 エ→ 12 – 3r+2 6. lim エ→2 +ェー6 エ→2

A:

Q: Find lim 818 3x² + 5x + 1 -x²+2

A: Given query is to find the limit.

Q: a) g^-1 (3) b) g^-1 (4) c) g^-1 (6)

A: We will solve the problem

Q: intergral ((x2 -3)/(x4 +7))

A: Solution Given ((x2 -3)/(x4 +7)) we need to  find the integral

Q: ペ--ド 3x-8x + 7メ-455 -3x + メ-XL+ウーメんー Evaluate the followng B.

A:

Q: This is a set question so please answer them all (A) A rectangular floor has an area of (x^2 + 13x…

A:

Q: N=(4-x²) G²_3x +3)

A:

Q: which are the quadratic function fCx )= x? - Il x-42? (A) X=-6, X=1 (B)x=-3, x=1. C) x - 3, X=-14…

A:

Q: -limx¬o 6x cot3x

A: Explanation of the solution is given below...

Q: What are the zeros and the multiplicity of f(x)= x^3-20x^2+100x

A: We need to find the zeroes and their multiplicity for the function f(x)=x3-20x2+100x means we need…

Q: If fx) = (1 - x)² and g(x) = 3 - x, find fg(x)) and g(fx)). fg(x)) = g(fx)) =

A:

Q: what is (fog)(x) when f(x)=x^2+7 and g(x)=x^2-4

A: See this solution in below.

Q: lim 5x + 7x – 3x2 - 2x 8? 0. +o0 -00

A: Given:    limx→-∞5x5+7x4-3x2-2x-8

Q: Divide. (-12v^(6)z^(6)+36vz^(6))-:(4v^(2)z^(3)) Simplify your answer as much as possible

A:

Q: Find the domain of the functions: •f(x)=x+7/x^2-7x+12 •g(x)=square root 1-7x •h(x)= 3x-4/x^2+4…

A:

Q: + 4 (A In(x² + 4) + C B arctan() + C (C) jarctan(;) + C -arctan() D arctan () + C

A:

Q: h) lim *-3x-9 X8 4x2+29

A:

Q: 54. P(x)= x³ + 2x²-3x - 10, 55. P(x) = 2x³ + 7x² + 6x - 5, 56. P(x) = x + 3x³ c = 2 c = } 16x²27x +…

A: