/| +* dA; Ris y² + 2² < 2.

Q: Use logs and implicit differentiaton to prove (root(x))' = 0.5x^(-0.5)

A: Let y = √x Take log to the base e, i.e. natural log, i.e ln on both the sides, ln(y) = ln(√x) =…

Q: Prove that = Aatilag (Elog Xi) An. %3D

A:

Q: 2x -(sin-(- 1 + x2 - xP(- Select one: O True O False

A: We will use the fundamental theorem of integration and then evaluate the integral. Then we will put…

Q: If y=tanx, Prove that Y™ 2 (Y²+1)(3+1)

A: We will find the required.

Q: Suppose / (x) =sinx-4). Evaluate: /s(x) dr A B oS

A: We can find the integration as below.

Q: 4. If f(x)dx = (x + 1)ln(|æ|) + C, what is f(x)? (To write absolute value, write abs(x). Do not…

A:

Q: Escribe cada expresión en términos de cosene 23. sen x 25. tan x 27. csc2 x 29. tan x · CSC X

A:

Q: Find the upper bound on the error if tan '(2x²) × 2x² and þx|< 0.2

A: In this question, we find the error bound for the given expansion tan-1(2x3)≈2x3 for |x|&lt;0.2 We…

Q: find maclurin formula in the fourth degree for f(x)=secx

A: To write the maclurin formula in the fourth degree

Q: Compute Lim メーフ4 7x+5 -3 Sin ? X 2)x-70 3X イメ2+2 3) -00 X-7-00 2x-1

A: (1)Consider the given function with limit:

Q: 2/ Fine the derivetiveofafunction さ tan! Xー!

A: From the given problem:   y=tan-1x-1x+1   As we know that:   dtan-1xdx=1x2+1

Q: 11. Use the substitution u = x/3 to prove dx tan 9+x2

A: Consider the integral

Q: 16. tan²(x) + sec²(x) = 1 O True O False

A: Consider a right angled triangle.

Q: Verify the identity cosh2 x = (1 + cosh 2x)/2

A: We simplify each side using the formula of cosh(x)   Left side:

Q: 4. Evaluate tan²(x)dr. | tan

A:

Q: Prove the inequality tanx2/tanx1&gt;x2x1 provided 0&lt;x1&lt;x2&lt;π2.

A: Define a function f(x) = tan / x Differentiate both sides w.r.t x to get,

Q: Write the formula of partial derivation with respect to x?

A: Partial derivatives  Let  f(x,y) is a function given , in which f(x,y) partially depends on x and y,…

Q: Let f(2) = y variable defin exist?

A: The given function fz=-y-2xy+i-x+x2-y2+z2 Here, z=x+iy. Therefore,…

Q: If Y=tanx prove that %3D2

A:

Q: If Зх — 2,х <3 -{ - h(x) х4 — 74, х 2 3 Is h(x) continuous at (x=3)? 1 Add file

A:

Q: how that the quality [x+y]=[x]+[y] is not valid for all real numbers x and y. please explain…

A:

Q: Find three relation from {1, 2} to {6, 7} that are NOT functions.

A: Solution is given below:

Q: e" lim 11. In your own words, give an argument or a reason which justifies that n-co n! = 0 where nl…

A: The

Q: Draw the y = sinx and y = 1- x² on the domain -2 <x<2 and filling the between the funtions.

A: the filling part is given below-

Q: 5. Evaluate: sec°0 tan’0 de

A: Consider the given integral. I=∫sec9θtan7θdθ Further, simplify.…

Q: tan –15t sech Evaluate: 1+2512

A:

Q: unction to model th model at x = 25.

A: The table is given with the data where x and y coordinate of the equation is given. a. The graph of…

Q: alue of x to

A:

Q: Evaluate sin 5x) lim, 0 (sin 5z ) 3x O 1 O 3/5 O 5/3

A: Topic:- limit calculus

Q: prove tan o: - -ie 2i

A: We can solve this problem using this formula. e^ix = cosx + isinx. e^-ix = cosx - isinx.

Q: Q3. Prove that tanhz =: 1-22

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 3. Suppose csc(A) = where A terminates in QIV, and sec(B) = -3 where B terminates in QII

A:

Q: ION 5 Use proof by contradiction to prove if the following is true: For all real numbers x and y, if…

A: Real numbers:     Real numbers are the numbers that can be found on a number line.     Positive or…

Q: 1 .Prove that : sec q + tan q = 2x or, 4x If sec q = x+ 2x

A:

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

A:

Q: Evaluate /5 sec(8 x)dx In(tan(8 x)+sec(8 x)|) + c 8. 5 In(|tan(8 x)+sec(8 x)|) + c 8. 05 In(|tan(8…

A: By using proper substitution and formula integral can be easily solved.

Q: Prove そ Cose tiSina -(1- tan@)

A: We will use trigonometric identities of sub-multiple angles to evaluate. And also, we will multiply…

Q: Find an equation of the tangent line to f at a = 9. (Express numbers in exact form. Use symbolic…

A: Topic:- limits and application of derivatives

Q: 7/4 26. * sec*e tan 0 de sec*0 tan*o de

A:

Q: Show that: sec²x + csc²x = sec2x.csc2x %3D

A: To show: sec2x + cosec2x = sec2x·cosec2x

Q: How to prove the Regular expression identities: (x + y)* = (x*y)*æ*

A:

Q: prove that tanx V secxsinxtanx

A:

Q: Evaluate tan xdx O -V2 0 2 In 못 2 In 꽃 O -2 1n v2

A:

Q: 2- Find ( for: y= esin-1 x

A: first derivative of function

Q: tan2 5° = tan 25°.Determine whether the statement is true or false. If the statement is false, make…

A: Given: tan25ο=tan25ο Determine whether the statement is true or false

Q: is it right to say cos (60o-30o) = cos60o .cos 30o+ sin60o.sin30o?

A: cos(A-B)=cosA.cosB+sinA.sinB

Q: Prove that

A:

Q: 3. Show that 5 x + 7 is a continuous fimction

A: Let, f(x) = 5x+7 be defined over R, the set of all real numbers. Choose an arbitrary point c in R.…