Answer the following True or False. 7x7 the fundamental theorem of calculus tells us that Since dx 1 |ide = 7(1) - 7( – 1) – 14. |3| O True O False

Q: ax – 2ax – 2ax Evaluate dx x2+1

A: Given Integration  Integration (ax^5-2ax^3-2ax)/(x^2+1) dx We will evaluate as shown below

Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

A: Hello! Thank you for the question but as per our honor code we'll able to solve only three sub -…

Q: dx Evaluate • (1– 2x)² 1 2 O-1 H/2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: Show that if x > 0 and |x² – 9| < 2, then |x - 3| < 1.

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Q: (x – 2)²(x+3) (x - 1) (x+2) 6) Let R(x)

A:

Q: Let f(x)=2x12, g(x): x-3, and h(x) = 2x2-4x-6. Wiite a formula fuY each of the following functions…

A: topic - functions

Q: Ex: evaluate 1 203 (1- 3 (1 – t)0.9 dt 0.

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

Q: In(x-1) 33 Differentiate with respect to x. 2x + 3

A:

Q: If R is Commutative deg (f(x) g(x)) = deg (f(x)) + deg (g(x)) F then

A:

Q: Evaluate the following commutators [Â, B] = ÂB – BÂ. Hint: use an arbitrary function that cancels at…

A: a x,PxPx=-ih∂∂xx,Pxφ=x,-ih∂∂xφ=-ihx∂φ∂x+ih∂∂xxφ=-ihx∂φ∂x+ih∂φ∂x+ihφ=ihφ∴x,Px=ih

Q: Find the equations of the asymptotes of R.

A:

Q: 2 For 1 X+ 1 and g(x)=, find b. the domain of fo g a. (fo g)(x): a. (fo g)(x)= (Simplify your…

A: Answer: (fog)(x)=2/(x+2)

Q: In 2 -0 (4.) 4e sinhədə 0

A:

Q: One version of the Fundamental Theorem of Calculus can be stated as: q [F(a)adua f(a)da = F(q) -…

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Q: 3xy (x + 1) = 3x²y + 3xy O True O False

A:

Q: 1 f X~ N(0,0²), then X² ~G (¹2¹2) Prove this statement

A: Given  X~N(0, σ2)

Q: find the term free

A: The binomial expansion is given by the formula, (a+b)n=∑k=0nnkan-kbk, where nk is n!(n-k)!k!.…

Q: 7. Let h(x) = 3-7x x-6 Find h-¹(3).

A:

Q: According to boolean algebra x.(1 + y) =?

A: We will use the following 3 rules : (i) Distributive law : a•(b+c) = a•b + a•c  (ii) Identity law :…

Q: (a) Show that if a > 0, then 1/a> 0 and 1/(1/a) = a. (b) Show that if a <b, then a < (a+b) < b.

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Q: Let x = 2 and y=3. Compute 7 ||x - y||₁ = ||x - y||∞o = ||x - y||₂=

A: Given :- x=-527,y=231

Q: Show that f 1 (3) does not exist.

A: Given : To show f'(3) doesnot exists

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: -1 Let A = 01. Compute A100 -2 1 1 3.

A: To compute the A100 first we need to diagonalize it to make the computation very easy.

Q: Part J only

A: Note: Since the student has mentioned to solve only part (j), so we are solving accordingly to part…

Q: -2 1 2 -1 1 -1 2. LetA= Then find A-1 if it exist. 1

A:

Q: (0,-6) (1,-7) ssuming that f(x) is of the form A. Bº, write an xpression for f(x): (x) = 0

A: Given query is to find indicated function.

Q: 2) 1 V1-x² dx

A: The given integral,      ∫11-x2dx

Q: Find all the values of z for which 1+z 1 1 1 1 1+z 1 1 1 1 1+z 1 1 1 1 1+z <= 0.

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Q: 13D 43. If a > 1 and b < 0, then 1-101 (A) (B) 1 9 (a) (D) b(a+1) (E)

A:

Q: MA Let r [-1. 1] and F(x) = f, f(t)dt. where the function f is defined by 1. if x > 0. f(x) = { 0.…

A: f is not continuous at x=0.

Q: If xER then |1– x| = |x+1|- True O False

A: We have check given statement is true or not