-1 show that ŝ = (X¹X)¯¹ XTY. ·

Q: For each data example, identify whether it is qualitative, quantitative discrete, or quantitative…

A: Quantitative data is information about quantities, and therefore numbers whereas Qualitative data is…

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: b) Find the derivative of the following, 5√/2x4-1 x3 In √7x²+5 1. d dx

A:

Q: find the derivative dr3

A:

Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: -6x %3D Find Mak. Value of f(x) = X (Use symbolic ndtation =ox for x>0 fractions where t. needed)

A: Given function :

Q: Find the derivative of: Y = 1098 (√x² +1-x)

A: given  y=log8x2+1-xwe know  (i)  logab=logaloga(ii)  d dx(logx)=1x(iii)  d dx(xn)=nxn-1

Q: P=S/(S+F) Express S in terms of F and P

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Find the derivative. d. (in (5x? + 2))

A: We have to find out the derivate of given function

Q: a. (In(x² − 3x + 1)) = = b. — (In(ex + 5x)) = d a + (n (+)) = [ C. dx +1 Hint: Use properties of…

A:

Q: Evaluate. (a) ∫x(x+ 1)^2 dx. (b)∫(upper) π/4 (lower) 0 (1 + 2 secθtanθ)dθ

A: Part a,Given,            ∫xx+12dx

Q: Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data.  Test the…

A: Given Information: 200 people were asked “Who is your favourite superhero?” Categories Observed…

Q: (c) tan(2x)

A:

Q: Find the derivative -9(x) = -(in (3x-2)) 5

A: