½t² Show that M₂(E)=é

Q: Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for…

A: Given n=125 P=0.95

Q: S(e2x + 1) dx =

A:

Q: Find g(e, 1) when g(x, y) = ln ⁡ ( x y + y − 1 )

A: Given function

Q: e 3x dx ex-1 X .

A:

Q: e1 dx 1 e O (e-1 )/e - 1 1 ООО О

A:

Q: 12. If m/PSQ = (6x – 13)' and m/PQS = (x + 5)', find m/PQS.

A: In a triangle PQS,  Angle of SPQ=90 so, Angle PSQ + Angle PQS = 90 6x-13 + x+5 = 90 7x - 8 = 90  7x…

Q: dy Solve : x +y=Dy' log x. dx

A:

Q: Q5: Simplify the following then find the dy /dx a) y = (logy y2*) (estn 2*) (tan-!x)

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: If x = tan - log y a d'y dy Show that (1+x²)- +(2x- a)-0 dx dx?

A:

Q: Use x = ey to explain why d/dx (ln x) = 1/x, for x > 0.

A:

Q: If f(3) = 5, f'(3) = 5, g(3) = 1 and gʻ(3) = 1, then z f(z) g(z) dr

A:

Q: dy for log, 3* dx = esinh x.In siny Q1/ Find

A: The expression of the function is .

Q: Show that S, (In x)? dx = e – 2

A: The detailed solution is as follows below:

Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y (0, 1) -1 1

A:

Q: se the bisection method to solve the equation x + cos x = 0. Show an appropriate graph. a. b.…

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: dy Find if y = log5u, where u = cos5x %3D dx dy = - 5tan5x dx dy = 5tan5x dx dy = -tan5x dx None

A:

Q: In(ere + 12) dx Xet

A: Given : ∫x2ex2lnex2+ 12dx

Q: dy Solve x - 4y = x°e*. dx

A:

Q: y = ln √4x² (Hint: Apply first a property of LOG.)

A: Let's find first derivative.

Q: L{ e¬at sinh wt} =

A:

Q: e" dx Find (ez +3)(e –5) Find S In(x)x²dx.

A: The first question can be solved using the concept of partial fraction and the second question can…

Q: Show that esin(x²)dx < e– 1.

A:

Q: b Find 60 such that - So (x − 1)dx = b == = 0.

A:

Q: 13 If f(x) = t? dt then %3D f'(x) = %3D

A:

Q: Find f (x). 1- e* f(x) = 7+ e f'(x) =D

A: Given query is to find the derivative of the given expression.

Q: 5 solve dx dt = [72X -27 @=132 [3] with X(6)

A:

Q: Find L{e*(t-1)}

A: