If (f +g) € R[a, b] , then (f.9) € R(a, b] (f - 9) € R[a, b] E R[a, b] none of these

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Step 1: Step 2: Step 3: Step 4:

Q: Show that f(x) =x and t 11 -x are inverses.

A: We need to show that f(x)=511x and f-1(x)=115x

Q: How many of the following relations are functions? ((-1,1), (1, 2), (2, 2), (2,-2)} N-1 5r-6y - 12…

A:

Q: | find the Purpose of the function 十1→×>! O fn. 3メ- ,Xく! Xく1 2 f(め 2

A: Function, in mathematics, an expression, rule, or law that defines a relationship between one…

Q: B Evaluate the piecewise function f at the given x-values. Write the answer using function notation…

A: In the given graph, the bold line indicates the function. The open circle is not included in the…

Q: ーくて 1うx H.w

A: We can use the limit in order to proof the continuaty at that point.

Q: Evaluate (x - 2)/x dx - + C +C + C m/2 m/2 + |m n|m

A: SOLUTION-

Q: 8. What is the domain and range of the following relation? y=x²-2x-3 y 5 8 X

A:

Q: 04. What is the domain and range for y = 2|x|. A. Domain: (-∞0, +∞); Range: (-0, +∞) C. Domain: (-∞,…

A: given that y=2|x| find the domain and range of y

Q: II. Identify the main operators in the following statements. 1. (U• -P) > (Q v L) 2. -K = (L v -M)…

A:

Q: Choose the correct Sympy expression to cal Select one: a. diff(f, x, x) b. deriv(f,x) c. diff(f, x)…

A: 1).   To compute this definite integral, pass this argument >> Integrate ( f, (x, 0, π/3))…

Q: Use the table to answer 4), 5) and 6). x f(x) 18 4. f(3)= 5. f-1(1)= 6. f-1(3)= I

A:

Q: . (Multiple Choice Question) The domain of the function x2 is the set: 4 - A) [1,2) U (2, 0) в) (2,…

A: 2x-1x2-4

Q: 2. Simplify the following and state restrictions a. x²+2x-80 2x³ - 24x² +64x b. 16a²b³c4 20a7b²c²

A:

Q: Which of the following relation is a function? a) S = {(1,–2),(–3,6), (-3,2), (-1,6) b) T = {(-2,3),…

A:

Q: 0.1 EXERCISES Calculate each expression in Exercises 1-24, giving the answer as a whole number or a…

A: As per the Bartleby guidelines, answer only first question as the other questions are not the sub…

Q: What is the domain of if x0 Give the range of f(x) = x< 0 A. (-00, 00) B. (-4, 0) C. (-4, 00) D.…

A: As per guidelines we have to solve three suboarts Since ist two question answer is not in option  So…

Q: a. UW) = In(W) b. U/W) = w^3 C. U(W) = w13 d. U(W) = 3W. The utilily function, U(Wy= In(W), Implies…

A: (a) The utility function is defined as UW=lnW.

Q: +9. -3 if f(z) = -1 if -4 if > Next Question

A: From the graph, find the value of x so that value of f(x) is satisfied.

Q: (5) Given f(x) -2r and h(x)= simplify using the following operations: Write answers in standard…

A:

Q: Srena +C, then f (x)%3D x3 If A) True B) False

A:

Q: A recent study shows that 18% of adults in the US do not use the Internet. Suppose that 12 adults…

A: It is given that n =12 and p =0.18.

Q: 9. Which of the following statements are true ? (i) If A = (x : x² = 4, x e N), B = {- 2}, then A +…

A: Solution is given:

Q: Domain:[-3,0) U (0, 1) U {3U (, ∞0) Range: [-6, -3) U (-3,-2) U{-1U (1, ∞)

A: simplify what it means after the third U in both answers . like write it in another way...

Q: Determine the value of each of the following expressions with the table: a) f(g(1)) b) g(f(1)) c)…

A: (a)f(g(1))  From the table , the value of g(x) at x=1 is 6, so g(1)=6 b) g(f(1)) From the table ,…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.