よ2 et + 1 lim xー0 |x2 dt = ? 1+ v2 + et 1.

Q: Find f-1 if f (z) = iz + 1.

A:

Q: find I of implicit function sec""cImcy)- In(8**) when yoo

A: 9999

Q: (5) Evaluate the definite intergral [/³ (sec²x+3x)dx. /3

A:

Q: Determine la solución general de la ecuación diferencial Y'-2x/2-x^2(y)=e^x. Y(2)=4

A:

Q: If 1– cosh x f(x) : 3+ cosh x then f'(x) =

A: The quotient rule of the differentiation uv'=u'⋅v−u⋅v'v2.

Q: -x²+5 < f (x) < x+1 2

A:

Q: 4 ,5 Let f(x) = 7x* In(x) f'(x)

A:

Q: satisfies thé équation:y + 13y - Show that y=e Sin 3x

A: Topic = Derivative

Q: Issol za 53. f(x) = VxIn x on (0, co) %3D

A: Given: 53.   fx=xlnx,  0,∞

Q: #! Find f'cx) if fex)= Čx²+SX+2)(X-)

A:

Q: How can you apply the chain rule in calculus 3 with multivariable calculus

A:

Q: sech (x*) tanhl 12.

A: 12. Given integral is ∫sech3(x13) tan h(x13) x23dx Let us make substitution to simplify the above…

Q: aresin (2x-1) = 1-x 2 arctan

A: Substitute x = cos^2(theta) and simplify the equation.

Q: 1/2 x3 dx 1- V3 - 15 15 2 16 Option 1 Option 2 1 15 V15 16 8. Option 3 UOption 4 IN

A:

Q: 2) Find FCO), if it exits Punctien f(z) - 2 if x raticnal if x irraticnal

A:

Q: 4. Show that sinx can be approximated by x-x³/6 within 0.01 on the interval [-1,1].

A: see my solution

Q: X = (1-_-_-_-)* 2 o then f(x) tend:

A:

Q: 15. Differentiate using quotient rule: x+2 y = х-2

A: Given, y=(x+2)/(x-2) Then,dy/dx will be

Q: x'+y° Q4. If u = sin- sin-'( -), Show that x+y ди X- ди + y- = 2tanx (2 + ду

A: If u=sin-1x3+y3x+y, then show that x∂u∂x+y∂u∂y=2tanx.

Q: Prove that sinh−1(x) = In( x+Vx2 +1)

A:

Q: Sec-S 2 1 TanOLO

A:

Q: 3 11 lim *+3 9. x→2 2х - 4

A:

Q: Prove: cosh 3x = 4 cosh° x x-3cosh.x

A: Prove that :- cosh 3x=4cosh3 x-3cosh x

Q: roo sin(2) Compute (4) dx. fo x(x²+4)

A:

Q: 4. y = √esinx + 2 5. y = 4x In 4x 6. xe = sin 5x - sin 3y

A:

Q: у %3DIn(In sec x)

A:

Q: Show that x+1/x is increasing on [1,∞]

A:

Q: 6(2tanx - x^4 + 4lnx)^1/4(2sec^2x - 4x^3 +4/x)dx. Hint: let u = 2 tanx - x^4 + 4lnx

A:

Q: D2 – 4)y = 10e-3x + 6e2x

A: Given: D2-4y=10e-3x+6e2x The auxiliary equation is: m2-4=0 Now solve; m2-4=0m2-22=0m+2m-2=0m+2=0 or…

Q: Consider the follow ing LP model: max z = 50x, +100x, X +x, 5 300 | 2x, +x, 5 400 St. X, S 250 X, X,…

A:

Q: Show that div (r x a) = 0

A:

Q: If y=tanx , prove that y```=2(y^2+1)(3y^2+1)

A:

Q: Q1) check the continuity of fX) at X--1, 0,1.2,3 -1<x<1 f(x) = 2x-1, 3x-2 2SxS3 2, 1=3

A: As per the answering guidelines we need to answer only first question so please repost the other…

Q: 2an-butn Converge bey to

A: The given sequence is an.bnn=1∞ we observe that there is N1&gt;0, so that when n&gt;N1, we have…

Q: limit x to 0 3x-3xcox/sin^2(3x)

A: Here given limit as Use the L'hospital rule which states

Q: 13,4) f(x.y) =In(x + x² +y² If Find x

A: f(x,y) = ln (x+x2+y2)∂f∂x=∂ ln (x+x2+y2)∂x=1 (x+x2+y2)×(1+12x2+y2)×2x

Q: Prove cosh 2 x - sinh 2  x =1

A: To prove  cosh2x-sinh2x=1

Q: 2. Using both a picture and words, explain the Squeeze Theorem.

A: Given : The Squeeze Theorem.

Q: Let S 8x x 30 f(x) 70 Evalute f(x) dx.

A:

Q: Let F(x) = [ (3t2-3)dt then F"(1) is equal to:

A: The Fundamental Theorem of Calculus : If f is a function that is continuous on an open interval I,…

Q: Explain how successive over relation is obtained from the Gauss-Seidel method.

A:

Q: EXAMPLE 2 Find af/ay as a function if f(x, y) = y sin xy.

A:

Q: If 5х + 3,х <2 { h(x) = 2x2 + 5,2 < x < 4 Is h(x) continuous at (x=2)?

A: We use definition of contunity

Q: Prove sech 2  x =1 - tanh  2x

A: we have to prove: sech 2  x =1 - tanh  2x

Q: sech2(In x)

A:

Q: Apply Definition 1.4 of Chapter IV to show that the function f(x) = 3x + 2 is integrable on the…

A:

Q: Show that cothx x+1 In X-1,

A: Solution

Q: eturns ABC XYZ 0.2515 -0.22 55 0.4322 -0.28 45 -0.14 33 0.3144 -0.0645 -0.51 14 0.33 78 0.5534 0.68…

A: Covariance and correlation are two important concepts in financial analysis.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.