I. Use the limit of the rates as Ax approaches zero. Ar 1. y = Ax + B 2. y = 2x2 – 3x +5 3. y = x3

Q: Directions: Differentiate the following functions. 5.) y = In(x* + 5) 6.) f(x) = x*e3% %3D

A: 5)y=lnx4+56) fx=x4e3xTo find its differentiation

Q: For males born in a certain country in the year 1991, their life expectancy was 66.4 years. For…

A: We have to solve the given problem by given data.

Q: Exercise 2. Integrate the following functions. 1. S(3x+2)°dz 2. 3.

A:

Q: Q2/ Find the domain and range for the following functions 1) y = 2) y = x +! 3) y = 3+2 cDsx 4) y =…

A:

Q: A) To the nearest inch, estimate the height of the maple tree in 2011.  inches B) Use the equation…

A: y = 9.44x + 84.182

Q: Please help

A:

Q: Find the point on y = 4+ x² that is closest to (1, 1). 0 (0,4) O (0.142, 4.020) O (0.545, 4.194) O…

A:

Q: Let X1, X2, X3 and X4 be a random sample from population with pdf Sx, 0<x < 1 0, otherwise. fx (x) =…

A:

Q: XI. 6 F dF where F = (x³ – y, x + e') and C is triangle with vertices (0,0), (3,0), (4,2).

A:

Q: a) Ignore the birth weight (x). If the length of gestation are independently and identically…

A: Reviewing information, x={60,110,44,900,107} y={122,241,61,365,617} n=5 The fitted model…

Q: At which value in the domain does ffx) = 0? 10 8. f(x} 4- 2 4 -3 -2 2h 3 4 X -6 -8 -10 O x=-3 X= 0 X…

A: We can find the required answer from the graph as below.

Q: c. x = t3 and y = 2t2 /2, 0<ts v3 3 d. x = t2/2 and y = (2t + 1)7/3, 0<t< 4 %3D

A: 1)x = t3  &amp; y = 2t22,  0≤t ≤ 32)x = t22  &amp; y = (2t + 1)323,  0≤t ≤ 4

Q: The function f(x) = Ei-1 Cix;| is piecewise linear and convex. True O False

A: Step:- 1 Convex piece-wise Linear: - A function f: ℝn→ℝis a convex piece-wise linear if there exist…

Q: If f is the linear function f = 3x - 1, what is the value of ? dx

A: Given: f(x)=3x-1 To find out: df/dx

Q: Let a = -4/0; and b = 1/0, in the linear function Z = a + bX. Which of the following statements is…

A:

Q: If the constant of variation of h varies directly as k is 11, then what is h when k is 77?

A:

Q: 5. Assume that V × F = V × G. What is the most general relationship between F and G ?

A: ∇ x F = ∇x G =&gt; ∇ x (F - G) = 0

Q: 5.) Classify the following functions as growth or decay: а.) у %3D 2* b.) y = 2-* -x с.) у 3 d.) y

A: To classify function as growth or decay.(a)   y=2x    since exponent power is positive so it is…

Q: Find f, (8,2) if f(x.y) = e* - 5y.

A: We can find the answer as below

Q: The region bounded by the two functions f: y=0.25cos(2(x-0.45))+1.4 and g: y= -0.45sin(x+3.8) +0.6…

A: We are given the two functions namely f: y=0.25cos(2(x-0.45))+1.4 and g: y=-0.45sin(x+3.8)+0.6. The…

Q: On R, with r~yifx-yeZ ) On Zx (Z - {0}), with (a, b)~ (c,d) if ad = bc. (We will need this later in…

A:

Q: The volume of a container is given by V = ar² ( h + 1) cm³ , where r(radius), h(height) are…

A:

Q: 7. Which function(s) have/has a zero at x = 2? y = 2* +2 b. y = x² +2 c. y = |x +2| d. y = Vx - 2 a.

A:

Q: The slope of the secant line of the function y =Vx +x through the points x, = 1 and the point xz = 4…

A: y=x+x

Q: Which of the following points does NOT lie on the line x + 3y = 10? %3D O (-4, 14/3) O (-2, 4) O (2,…

A: