sin x COS x tan x cot x f(x) = V1– cos² x V1– sin? x + Vsec2 x – 1 Vcsc2 x – 1 Hint: The value of the function depends on the quadrant in which your angle x lies.

Q: Calculating derivatives Find the derivative of the followingfunctions.

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Q: sin In sin )dx - cos(sin-!x) + C V1-x? A) True B) False

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Q: sin x P47. Let I = cos.x dx and J = J% sin x+cos dx, a e [0, ). sin x+cos x (a) By considering I+J…

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Q: Using the linearization of f(x)=sin(πx), approximate the value of sin(0.6π). A. The answer cannot…

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Q: f(x) = 7 sin a + 2 cos a, then cos T. f'(x) = %3D f'(3) =| Find the equation of the tangent line to…

A: Given  f(x) = 7sinx + 2cosx To find f'(x) and f'(3) Also to find the equation of the tangent on the…

Q: sin'x cos x dx (1– sinx)2(1+ sinx)? Evaluate: sin 8x

A: To evaluate: ∫sin7xcos5x1-sinx21+sinx2dx

Q: y = a sin (x + b) u sin (x + b) -a sin (x + b) O a cos (x + b) O -a cos (x + b)

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Q: CSC X du 5. If u = f(x), then =1. Compute f %3D sin x- cos x COS X 2 (a) 1 (b) -1 (c) 0 (d) 2

A: =∫ csc xsinx -cos x dxsin x =1csc x,cos x =cot xcsc x    = ∫ csc x1csc x-cot xcsc x dx=∫ -csc2x…

Q: Determine whether these functions are even or odd (a) y = sin x   is an _________ function (b) y =…

A: According to Bartley guidelines we can attempt?️ only three subparts of a question so please upload…

Q: f Px) and Pn) are points in quadrant Il on the terminal side of the angles x, and xy, respectively,…

A: We can find the answers as below.

Q: sin adx =? O A. - cos r + 2 Cos cos z | +e 4. O B.-z+2-증 O C. - cos x +2 cos I +C COS D. cos x cos 2…

A: Given: I=∫sin5xdx We know that sin2x=1-cos2x                                              ..1 So, by…

Q: sin x c) 1 – sin? x

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Q: f (x) = 3 sin x + 3 cos x, [0, 27]

A: Consider the function: fx=3sinx+3cosx Differentiate the given function with respect to “x” then,…

Q: The function f(x) = a sin x + b cos x + c satisfies f"(x) = cos x – 2 sin x, f'(0) = f(0) = 2. Find…

A: a=2 b=-1 c=3

Q: Find f '(x) and f '(c). Function                      Value of c f(x) = sin x/x                 c…

A: Find f '(x) and f '(c). Function                      Value of c f(x) = sin x/x                 c =…

Q: sin x dx cos? x + cos x 23.

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Q: Consider the function sin? cos X – X X + X f(x)= Vx -1 sin Determine f'(0.25) using 3 point central…

A: Given: fx=sin2x2+xcosx-xsinx-1x2+1 h=0.01 To find: The value of f'0.25, using 3 point central…

Q: f (x) = 5e"r³ tan(x) а. b. g(x): re cos(x) h(x) = sec(sin(/x)) с.

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Q: | sin'x cos?x dx I cos´x SI

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Let f be continuous on the interval [0, b], where f(x) + f(b − x) ≠ 0 on [0, b].

A: Let I=∫0bfxfx+fb-xdx   I=∫0bfxfx+fb-xdx                     ....... (1) use ∫0afxdx=∫0afa-xdx…

Q: x? - cos x if x #0, 0. Let f(x)= Evaluate f(100 (0). %3D 1. if x 0. I sin x if x#0, if r=0. 1. Let…

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Q: Explain why or why not Determine whether the following statements are true and give an explanation…

A: Hey, since there are multiple questions posted, we will answer first three question. If you want any…

Q: Using an appropriate substitution, f sin (x)cos (x)dx is equal to: sin'x sin +C cosy cos'x 王C 11…

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Q: sin?x If h (x) = | . (t² + 1) dt for – <x < 7, then h' (x) CSC 4 (A (a4 + 1) CSC B) (sinºr + 1) CSC…

A: Let's find.

Q: 2 sin(x) Given f(x) = x + cos(x) X a) Find the value of f'(x). b) Hence, find f'(0).

A: Given:

Q: -sin x 0 [cos x - If f (x) = | sin x - 0, show that f(a)f (b) = f (a + b). 1] cos X %3D 0. 0.

A: Given: Here, f(a)=cosa-sina0sinacosa0001, f(b)=cos b-sin b0 sin bcos b0 001. Now,…

Q: Find f'(x) and f'(c). Function Value of c f(x) = x cos(x) 4. f'(x) - s(x) sin(x) + cos %3D f'(c) -x…

A: First calculate f'(x) = df(x)/dx Then put x = c = pie/4

Q: 3(cos? r – 1) sin x cos x – sin x ||

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Q: + sin x dx = cos? x A tan x - sec x tan x + C B tan x + sec? x + C In(1+cos?x) + C

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Q: S sin?x cos³x dx i sin*x -sin*x + c i sin*x +sin°x + C O A B -sin'x -sin'x + d

A: The given integral is ∫sin3xcos3x dx We evaluate the integral using proper substitution. At first we…

Q: sin? x – 16 dx - te : Csc x sin x + 16 cot x + C, Where C is an arbitr onstant + 16 tan x + C, Where…

A: cosec x= 1sin x given that:                     ∫csc xsin2x-16sinx=∫1sin2xsin2x-16 dx…

Q: SOLVE THE EQUATIONS

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Q: Find f. f ''(?) = sin ? + cos ?,    f(0) = 1,    f '(0) = 3

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Q: Sarc sin x dx = ? A. sin x- 5- V1-r C.xarcsin x+ S- V1- dr Idr S- D. x arc sin x -J- 1-2 B. x arc…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: (a) Find F'(x), where (i) F(x) =x t cos(r²) dr; - [ (ii) F(x) = sin(e") ds.

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Q: Activity 3: Find and simply the result, if possible. 1 a. y = vx - b. y = x? + n + x" C. y = x² secx…

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Q: 1+ sin r , r < 0 f(x) = COs a sin x

A: Now, check the function is continuous at x=0 or not. Thus, the function is continuous at x=0.

Q: cos? x sin x | cos“ x dr 3 + 4 COs x sin x 1 COS4 + 4 + c 2

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Q: f'''(x)=cos(x),  f(0)=3, f'(0)=5,  f''(0)=5   find f

A: This problem can be solved by repeated integration. we know that integration will five us the…

Q: 0. The value 31 The function f(x) of t is = x sin x satisfies the following equation: f"(x) + (x) +…

A: Solve the differential equation

Q: CoS(sin *x) on the closed interval [-1, 1]? If it can be applied, then find the value(s) of the…

A: According to bartleby q&amp;a guidelines i will attempt only 1st question

Q: S sin x (cos x)ådx (cos x)ž + C none of the choices (cos x)Z + (sin x)ž + C O A B.

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Q: A. sin X = sin Y %3D B. cos X= cos Y C. tan X = tan Y D. sin X = cos Y %3D

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Q: If cot (x) V3 for x in the interval -T, 0 then sin(x) | a) V3 2 O b) - 1 2 c) V3 2 || ||

A: NOTE: Refresh your page if you can't see any equations. . here the angle is between  and cot(x) is…

Q: f(x) f'(x) C where C is constant x" where n is constant e* where e is the number e a* where a is…

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Q: Find f. f ''(?) = sin(?) + cos(?),    f(0) = 1,    f '(0) = 2 f(?) =

A: Given the second derivative of a function f"(x)=sinx+cosx And initial conditions f(0)=1,f"(0)=2

Q: 0. The value 31 The function f(x) = x sin x satisfies the following equation: P"(x) + (x) + t cosx =…

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Q: Approximate sin by using a linear approximation with f(x) = sin x. %3D 13 sin = f(a) + f' (a)·h = c,…

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Q: sin x dx 7. cos x (1 + cos?x) | Let u = cos x

A: the given integral is: we have to evaluate the given integral