1 Sin y lim (スy)→(00) दिनो

Q: y = Arctan(sec (3x)) +ncot(2x)

A: Given: y = tan-1sec3x + πcot2x To find: The value of dydx

Q: arc cos (11x) VI-121 y2 G(x)=?

A: We are asked to find the derivatives.

Q: ¹ (x + y) − ln[1 + (x + y)²] = 5³, what is Given Tan¹ - none of the choices 2-2x-2y z-2x + 2y - 1…

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Q: sin 2r tan 3r (a) lim

A: We have to find

Q: COS X lim X0 ex

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Q: sec20(1 – cos 0) lim 040 202

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Q: 2 cos(8x) – 8 x² – 2 lim - sin(3x) — 2? — За

A: Here we apply l Hopital's rule.

Q: Show that

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Q: Solve the equation for x. arccos x = arcsec x

A: Concept: Calculus involves the study of rate of change, which is used to calculate the objects which…

Q: 1 lim is equal to: (t – 1)2 '

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Q: 3e2* -1 d) lim 2x 4e* +cos x

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Q: b) lim, . sin(8z)

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Q: C. y = cosh¯'(x² + 1) + tanh-1(sinx) + sinh-'(cothx²)

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Q: y" "yi g= coshox + sinhɔxi

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Q: y' sin 2πχ 3Tycos 2πx

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Q: 1-cos y 9. lim y→0 sin? 2 y

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Q: tan 8 TX lim sin 7x) x→0

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Q: 2. By hand, showing all steps, determine sin 4x sin 5x lim x sin 3x

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Q: (c) 1 lim – cos(6r) 5x

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

Q: Use the graph of y = 2 sin 2x in the figure to obtain the graph of y = 2 csc 2x.

A: The function of the given graph is y=2sin2x. Since, y=sinθ and y=cscθ are reciprocal to each other.…

Q: S e?+tdt lim 2-40 sin(2x) +

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Q: r = -4+4 sin 0

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Q: 1. limg sin(x)

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Q: Evaluate the limit.

A: limt→01-cos2tsin23t

Q: In(cos ax) ? limx-0 In(cos bx)

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Q: S (12a³ + 6) arctan(x) de;

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Q: 2 cos(3x) – 3 x2 – 2 sin(9x) – x2 – 9x - lim - (Use calculator and write your final answer in the…

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Q: 15) lim cos (2x)

A: Let fx=cos2x

Q: Simplify and solve .T 2 lim I sinc4xt)+5sin(나 +증) 1. -T and .T 고 I sinc4xt)+5sin (너t +증) |. lim -T

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Q: y = In (3²×) + sec (Inx²) + tan¬1(In5x)

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Q: 1 у? sin y 2)lim y→∞ y + /2y3 –1

A: We can find the limit as below.

Q: Q1: lim,»1 x(1 – cos-)

A: Evaluate: limx→1 x1-cos1x

Q: f (x) = arctan(e“) ise ƒ '(-1) =?

A: To find the derivative of  f(x)=arctan(ex) at x=-1

Q: sečxdx ztanx 5-9tarix ansi sin 2

A: Solution is done in step 2

Q: d) lim cos x sec (5x)

A: The given expression is :  limx→π-2cosx sex5x  Let,  x+h=π2  As x→π-2 so, h→0  cosx sec5x=cosπ2-h…

Q: 2) y = sin(3x²ex)

A: Find the derivative

Q: ∫sin^6 y cos^4 y dy, limits from 0 to pi/2

A: Consider the definite integral ∫0π/2sin6y cos4y dy to solve this integral, use the below reduction…

Q: 4) lim (ei – 1) x 3

A: Let's find.

Q: y? lim y→0 In cos y Оз -2 O O o O

A: To find: limy→0y2lncosy Concept used: Apply L' hopital rule if the output is in the indeterminate…

Q: :(3:+a- (メ+) tanx tHany 1-tanx tany to

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 2π +...+sin lim sin +sin A) 2 B) -2 C) 0 E) 3/2 3/2

A: We have to use sine serious sum formula.

Q: tan(xy) = ? lim (х, у) >(,0) у+ 2ху 1 (c) 3 (а) 0 (b) (d) (е) 1

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Q: lim 2?e --00 1- cos(2x) im

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Q: dx lim dx %3D

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Q: The slope of r = sin30 at 0 = " is: Select one: -3 2 O 1 O -1 O none

A: We have to find slope

Q: tan y = In 2 + e"

A: Given : tany = ln2x2+e-xy

Q: Differentiate. Simplify where possible. y = arctan(cos 0)

A: Given : y = arctancosθ

Q: 1. [cos³x dx [Use the reduction formula]

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Q: (cos(3x+ 1))² lim 7+ 4x

A: our objective is to find the limit

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.