Evaluate the following expression over the interval [−π/2,π/2]. arcsin(−√3/2)

Q: Find the general メニ 2メ キ+1 o=+f+1 sece.

A: To find The general solutions of the given differential equations.

Q: 1-Cosh

A:

Q: Derive the following functions with simplification whenever possible. Expansion and LCD are not…

A:

Q: Find the AuRtaYe value of f(x) = x* on the intervai 2,67

A: answer is in next step

Q: IT If f(x) = sin (2 x), find f'| 6

A: Given : fx = sin22x

Q: Apply Parseval's identity to the function f (x) = x, - nSxSn and deduce that n16 = 1/12+1/22 + . +…

A: For the solution follow the next steps.

Q: 2x + 5 What is true about the function Ax) = X+3 as x → co?

A:

Q: Which of the following functions increases for all values of x in the domain? O A. f(x)= O B. f (x)…

A: A) f (x) = 6xDomain - lR\ {0}Since f(x) fluctuating in the neighbaurhocdof 0⇒ f(x) is not increasing

Q: Find the truncation error of the following formula if the degree of precision is 2. Ls) dx = ÷f(-1)…

A: Given: ∫-11fxdx=12f-1+32f13 To Find: Truncation error if the degree of precision is 2. Degree of…

Q: On the graph of f(x) [2n, 47), for what value of x does the graph cross the x-axis? Choose all…

A: We have to find where the graph of sinx cross the x axis on [2π , 4π)

Q: if g(x)  = x Sin-1(x/4)  +  √(16 - x2) , find g'(2)

A: The product rule is used for the LHSwhere as power rule  for the RHSg(x) = x sin-1x4+16-x2g'(x)…

Q: (h) When, for 0 st < o, is the particle speeding up? (Enter your answer using interval notation.)…

A:

Q: Use the intermediate Value thereom to Show that gid=0 g(x)=0 on the interval E3,6] for quu)eメースメ-IS…

A: g(x)=x2-2x-15 on  [3,6]

Q: Suppose, f'(x)=2cosx+ sec x, -7<x<7½, and it is known that f(T) =D4. Find the function f(x). IT

A: Integrating on both sides, we get

Q: Evaluate the following: 1. [ sinh(4)dæ

A: Application of integration

Q: Given that f'(5pi/9)=0 and f''(x)= -18 sin (3x) , what can be said about the function f(x) at x=…

A:

Q: ch of these would be Hinuous on the interval ,00)?(there may be more than 1 right answer -1 e E(x) =…

A:

Q: Q1 Evaluate the following: 1- x* +3x -3 2- S1+ tan2(4x - 1). tan (4x- 1). sec2 (4x- 1) |

A: 1. x4+3x2-3 2. Integration of √[1+tan2(4x-1)]. tan(4x-1).sec2(4x-1)

Q: For cos2(xy) =, evaluate y' when x = 4

A: Given that: cos2(xy)=14

Q: Given f''(x) = 25 sin(5x) and f'(0) = 3 and f(0) = 6. - Find f() = 6

A: Given that  f"(x) = - 25.sin(25x)......   (1) f'(0) = 3 f(0) = 6 To find  fπ6

Q: Please solve the following equation using Newton Raphson iteration f(x) = 3 – x3 – x5 – e-x = 0 (odd…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use the figure to evaluate the following function, given that g(x) - cos x. 9(2a)

A:

Q: Use the following data to answer question Let (x) = xe - cos (Ax), A = 0.6 What is the root of f (x)…

A: Given that At x=2.5 f(2.5)=1.205 At x=4, f(4)=-0.92 By bijection method, x1=3.25

Q: For the function f(x) - 2x2 + 1, write Newton's formula as an+1 = F(rn) : = In f'(xn) for solving…

A: using newtons formula

Q: Find the root of the function ((x) =sin x -e in the interval (0,1) using the formula g(x) =aresin…

A:

Q: Plot the following function 0 <x< T sin(x) f(x) = } -0.81x2 + 7.64x – 16 π<x< 2π -1.62x2 + 25.46x –…

A:

Q: Given f(x) = cos(x) - 2x² + 3x - 1, then f"(0) is equal to- Ο -5 Ο Ο Ο Ο Ο Ο -3 Ο -1 None of them O

A:

Q: Which of the following is not in the domain of sec(x)? Select all correct answers.

A: We know that,                         Domain of sec(x) = All real numbers except x≠.....-3π2, -π2,…

Q: Q3) Evaluate the following using simpsons rule; h-1 dx sin x

A: Given integral is, ∫15xsinxdx.

Q: For each of the following functions, solve both ƒ'(x) = 0 and ƒ''(x) = 0for x. ƒ(x) = sec2 x - 2 tan…

A: f'(x)=0 then we set each factor equal to 0 and find x

Q: - Verify whether the following ODE is exact and find its general solution. (2xy - sec²x) dx + (x² +…

A:

Q: Find the root of the following using the secant method. |ξa|<0.0001 using: X0=0 X1=1

A:

Q: Given f''(x) = 25 sin(5æ) and f'(0) = 3 and f(0) = 6. Find f6) -7.067 -

A: We have, f(π/6) = 6.5 - π/3 The detailed solution is as follows below:

Q: For the following functions (a y = In(x² + 4) -x tan¹ & Of 15

A:

Q: 6: Find the root(s) of f(x) =r-12.42x +50.444x-66.552 4<x56 to accuracy of 0.001. in the interval

A: According to our guideline we can only answer one question and rest can be reposted.

Q: If f(x) = sin(2x) +1, what is f" (x)? Enter the answer in the box. f"(x) =

A: Given : fx = sin2x+1

Q: If f'(x) = cosx - 9x² + 1 which of the following could NOT be f(x)? %3D

A: In this question we have to find f(x).

Q: * The following function f(x) = x^4 sinx is odd O neither even O O

A:

Q: 10 6. g(x)=(In(x² +1)– tan(6x)

A: The given function is:gx=lnx2+1-tan6x10

Q: For the given function f(x) = sin 9x, determine 5) MacLaurin’s Formula that includes the 3-th Taylor…

A: Taylor's formula of any function fx about a is given by fx=fa+f'ax-a+f''a2!x-a2+...+fnan!x-an+Rnx…

Q: 2 S14-x² dx

A:

Q: ind the following values for the given fur f(x) = 2x² +3 and g(x)= 4x +1 a) (f+g)(x)=

A: Given functions are  fx=2x2+3 and gx=4x3+1find f+gx

Q: 1. Compute the following: f sin²(x) dx

A:

Q: find for f(x) =|x| . [-x , a] - IT - .a 0.b0 T.cO 2n.dO

A: We have to solve given problem:

Q: Find the equative of the fall wing £unctions f(x)= 2 tani! (x) –7*

A:

Q: Given f''(x) 16 sin(4x) and f'(0) = 3 and f(0) = 5. - Find f

A:

Q: Find for the following function. sin () + re- cos (2*) = 3y-6z + 8 and

A:

Q: On which interval is the function f(x) = 3 sin(2x), 0 <x<7, decreasing? O 0 < x < Зл 4 < x < T * < x…

A:

Q: C. For number 5, simplify the comçl fractional axpi e' n. sin x COS X Cos x sin x 5. sin x- cos x…

A: Given: sinxcosx-cosxsinxsinx-cosxsinx To find the simplified form of the given function.

Q: Which of the following is not in the domain of sec(x)? Select all correct answers. Select all that…

A: To find the points which is not in the domain secx