1+(1+z²)/² • [a)] Show that csch 1 z = ln [(b)] Use part (a) to find all the values of csch (2i)

Q: T² 2 / (x + 1) (2² + 1) dr. Evaluate

A:

Q: f(x) = ln[x(x + 6) 5 (x²+2)4] f'(x) =

A:

Q: If tanx=sinha prove that a=ln(secx+tanx

A:

Q: Use backward-difference formula to evaluate the first derivative of y = cos(x) at x = using a value…

A:

Q: Pr[A'nB]=0.4 and Pr[(AUB)']=0.5. determine Pr[A]

A: GivenP(A'∩B)=0.4P(A∪B)'=0.5

Q: Choose the correct answer by using the Product rule of derivative. d dx - (x4.x7) is equal to…

A:

Q: Express the following in the form In(x + a) + ln(x − a) + ln(x² + b), with a, b = N: In(x¹ − 1) = |…

A:

Q: Apply the special case of the general power rule d/dx [h(x)]2 = 2h(x)h(x) and the identity fg =…

A: dhx2dx=2hx·h'x  &  fg=14f+g2-f-g2

Q: 2. Show that when f'(x) is evaluated at x = Xị, the equation to calculate the unequally spaced data…

A: The step size for the central difference formula is the difference between two consecutive x values.…

Q: dx x(1+ln² x)

A: Given : ∫dx/x(1 + ln2x)      .....(1) Let ln x = t Differentiating both side w.r.t. x 1/x = dt/dx dt…

Q: Problem 3 Consider the two matrices ^= [ ³3 A -1 2 3-25 B = 43 2 5 1. Find AB. 2. Find BA. 3. Find…

A: According to Bartleby guidelines ,we solve three sub parts.

Q: In (x2+1) f (x) x2+1

A:

Q: Let p(x) = x³ - 17x² + 11x + 76. Compute p '(x) and use it to find all values of x for which p '(x)…

A:

Q: Differentiate. f(x) = In (In (In (7x))] f'(x) =D

A: Find f'(X)

Q: B₂ (x₂3x₂ ) = 4x₁x₂ *1*2 0< x₂ <1 2 Y₁ = x₂₁² Y₂ = X₁ X/₂ Find the joint pdf for Y₁, Y₂ for 0<x< ₁…

A:

Q: (a) cosh(sinh *(8))

A: U

Q: E (3x(9 ^ b) V Jaæ(p ^ 0)) = 3x(p A (4 V 0))

A: To prove ⊢(∃x(φ∧ψ)∨∃x(φ∧θ))≡∃x(φ∧(ψ∨θ)) Here we have to use existential quantifiers i.e. notation of…

Q: scost 2.) Find the derivative: 1 (t) = (sin" (t²), e² ² lnt>

A:

Q: Find

A: We will use the property of laplace transformation

Q: Find the value of xg in 1 decimal places (positive value) using Secant Method (5th Iteration) f(x) =…

A:

Q: What are the intervals of monotonicity of f(x) = arctan (2(x-1)) - ln IxI ?

A:

Q: List all intervals for which there are possible unique solutions (t-5)x''-ln(t)y'-y=et

A:

Q: Use Newton's Method to approximate the zero(s) of the function f(x) = x° +x+1 accurate to three…

A:

Q: 7/Evaluate y = (Sinx) at (x= x/5) by using polynomial interpolation from the following table, then…

A: Let us find the polynomial for f(x)

Q: a) y = (3x²-7) 5 (x²+x)9 7x b) x= c²² Sin²x (x²_qx+5)³ C) y = (Sinx) Sin - ² x 3

A:

Q: Question 3: \( f(x)=\frac{1}{x^4}.) a) Evaluate f(x) dx. -1 b) Find a value of f(x) dx.

A: I am attaching image so that you understand each and every step.

Q: (2.00-x) Vq₂ = ±xV|q₁|

A:

Q: Entered Answer Preview 42 - 3°(In(3) +1) 64255.3 2x Let f(x) = 4x2". Find f'(3). %3| f'(3) =…

A: This question is based on Derivative of function.

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.