2.limт(x—1^-) [ 1/х^2-1) ] - ミ* a. -00.. b. 00 С. О. d. 1.

Q: -8 dx

A:

Q: n(n+1)(n+2) E = =1i(i + 1) i=1 3

A: We will prove the given statement by using the principle of mathematical induction in which we show…

Q: Solve. x- - Sx - 7> 0 O (, -7) U (-1, o) O (1. ) O (, -7) O +7, -1)

A: It is given that,x2+8x+7>0 We have to solve it.

Q: Solve for X. X = 1 1 -8 7 8 [6 8 43-64-4 X = I.

A: The addition and subtraction of two matrices A and B are defined only if A Nad B have same order.…

Q: In 5 7x 78. y = log5V3x + 2

A: We have to solve

Q: (a) Isolate h. V = { Tr² x

A:

Q: O O The limT(x-1) [(x^3 e^(1-x)--4 * sinTtx) ] =1 a. True b. False

A:

Q: 17. The displacement (in meters) of a particle in motion is given by a= dt -t², where t is measured…

A: The displacement function is provided. And, we know that velocity is the derivative of time. So,…

Q: y = kx xe

A: y=xe-kxTo solve the derivative

Q: using Newton's Method to approximate the root of f(z) = 3z3-7z + 1 in the interval-2,-1], find z2 to…

A: To perform two iterations of Newton's method to find approximate root of f(x)=0

Q: Simplify. Assume all variables ar (s^((7)/(4)))/(s^((1)/(3))) Write your answer in the form A

A: Explanation of the answer is as follows

Q: Find the value of ff xye** dxdy (solve) (yeyev) (xex - e*) Option 2 ye" (xe* -ex) (yeyev) (xe* + e*)…

A:

Q: 3 1 13. Jisc(2)csc (2x)cot (2x)dx cresc 8 Type. U = U' =

A:

Q: x²+ 4x – 21 - . ... lim х- 3 А. 6 В. С. 10 D. 12 8 Е. 14

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

Q: For the part circled in orange, I'm confused to why this is 4, and not just 3 in this spot because I…

A: Solve by using l hospital rule

Q: 11. (4g³h)(-2g³) 12. (–15xy* )(- { xy*) 13. (금p)"

A:

Q: Show that coth z = }ln (). What is the domain?

A: Here we will show that coth-1x=12lnx+1x-1 and we will damain,

Q: ok now I am confused the full problem is 0 =…

A:

Q: 2. y=cot1-2x 3. y=log22x*

A:

Q: derivative af. inccosu) where n-782 Find

A: We have to find the derivative

Q: Find y! y = (5x - 4)(3x + 1) O 30x - 7 O 15x - 7 O 30x - 17 O 30x - 3.5

A:

Q: Find the derivative of the functron. Simplify and express the answer anly. using positive expenents…

A: In this question the given function is y=(x2-5)3x2+3 we have to find y' In positive exponents only

Q: Use the symmetry properties of the integrands to evaluate the following integrals in the simplest…

A: Properties of integration  ∫-aaf(t) dt=0 f(t) is odd function2∫0af(t)dtf(t) is even function The…

Q: Verify by differentiation.

A: Given :     I=∫ ( ax+b )n dx Put  ax+b= t        ⇒ a dx=dt                 I=∫ ( t )n dta=1a∫ ( t )n…

Q: Use implicit differentiation to find дг Əz and if yz In(x + z). дх ду

A:

Q: L{e at sinh(-at)} s2 +2as (s-a)² (sta)? 82-2a

A: Laplace transferom

Q: Q) Plot, on the same figure, three related functions of y1 = log(x) and y2 = sin(x-.2), in the…

A: The figure can be made using geogebra or desmos. First Plot the function y=logx as shown:

Q: Replace ? with an expression that will m (d)/(dx)(5-4x^(2))^(9)=9(5-4x^(2))^(8)?

A: We have used the chain rule of differentiation.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.