Use the following information to determine tan(2x). tan(x) = -3 and sin(x) is negative

Q: Find the correct estimation of the value tan-1(2) by using Simpson's Rule with n = 4. A.) 1.1384 B.)…

A: Simpson's 1/3 rule ∫abf(x)dx≈h3(f(x0)+4f(x1)+2f(x2)+4f(x3)+2f(x3)+ ⋯ ⋯…

Q: Q1:- Find the domain of the following functions tanx a) f(x) sinx-1 b) f(x) tan-(vInx) c) f(x)…

A: Find the domain of the function

Q: Use the method of substitution to evaluate 2x cos x2 dx. sin x? + c 2 - sin x? + c sin x? + c - sin…

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Q: Use the following conditions to find the exact value of tan(α - β).

A: Trigonometry: sinα=45,π2<α<πcosβ=513,0<β<π/2We need to find…

Q: Q2) By using the addition formula derive the identity of the function sin (x -)

A: We know that: sinA+B=sinAcosB+cosAsinB Replacing A by x and B by -π2:…

Q: Differentiate the following with respect to the variable: y 3x? sin 2x

A: Given function, y=3x2 sin2x

Q: Find a, b, and c for the function f(x) = a sin(bx – c) such that the graph of f matches the figur…

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Q: Q2) By using the addition formula derive the identity of the function sin (x-)

A: We have simply

Q: Verify the following sta 1 -1 tan dx x) = 1+x

A: Given function is f(x)=tan-1x by basic principle of derivative, f'(x)=limh→0f(x+h)-f(x)h       (1)…

Q: Use the substitution rule and show all the steps to evaluate: 1 dx 1+ sin x – cos x

A: ∫π3π2 11+sinx-cosx dx Apply u substitution u=tanx2 find derivative of u with respect to x…

Q: If f(x) = 5x(sin x + cos x), what is f'(x)?

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Q: what values of x is f(x) = 2 tan(x + π/6) discontinuous?

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Q: Find the exact value of sin (tan- (1)). OA) _1 V2 B) 1 2 C) V3 2

A: sintan-11......(1) The value of tan-11=tan-1tanπ4 Recall the trigonometric identity…

Q: Evaluate the following expression when x is t/6. Use exact values. sin 2x

A: Given query is the find indicated values.

Q: f(a) tan(x) + sec(x) simplifies to where cos(x) f(x)

A:

Q: Find y'. Given: y = -cos(4x)tan(4x)

A: Solving the problem by finding the derivative of the function.

Q: Using appropriate substitution, f sin°(x)cos³ (x)dx is equal to:

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Q: 1 tan 2 1 1 + tan-x +C. 2 2

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Q: tan x sec? x dx

A: Given integral: ∫tan2 x sec2 x dx

Q: B. Evaluate the following 1 dx 2. 2 tan(x)dx 3.

A: We have to slove above question

Q: Let x = 0.42 and y = 1.1. Determine the value of C when you evaluate tan-(2x)dx. ( Use 2 decimal…

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Q: Evaluate tan-1 x dx 8.

A: We have to evaluate the integral: ∫-∞∞tan-1xdx

Q: Solve the following equation for x: tan (x + 3) 4

A: We have to find

Q: Calculate f/2 ( sin a) da xp

A:

Q: 1 + sin² (x) dx sint(x)cos (x)

A: We have to find the integral.

Q: (E- x) = ", find tan (x). TC 10 11

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Q: If f(x) = 2x(sina + cos a), find f'(x) = %3D

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Q: у 3 3x? sin "(2x)+ 2х

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Q: Find tan x dx.

A:

Q: Use the Reduction Formula to evaluate the following (a) f sin“ x dx (b) S tan x sec4 x dx

A: (a) The reduction formula for ∫sinmxdx is given as the following.…

Q: Find the identical expression for the following. ​sin x(sec x- cot x) A. sec x  B. cotx-sinx c.…

A: The given expression is sin xsec x-cot x.

Q: If f(x) = (4x)tan(r²), what is f'(x)?

A:

Q: Sketch the following, marking points of interest. Y = (*+2}(x+4}/(x+3) Y= 2 sin x+1 Y= sin (2x)

A: Given Y = (x+2)(x+4)/(x+3) Y = 2sinx+1 Y=sin(2x)

Q: If f(x) = 3x(sin x + cos a), find f'(æ) =

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Q: If f(x) = 4x(sin a + cos x), find f'(x) = f'(5) =

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Q: If f(x) = e2" [sin(=)]°, what is f'(x)?

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Q: Evaluate the given function tan?ydy = sin xdx is equal to.. 30 3 (tany - у) А. Зх- = cos³x + cosx…

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Q: Evaluate sin (x) cos(r)dx using an appropriate substitution.

A: Given that, I=∫absin5(x) cos(x) dx We have to find the solution of above integration.

Q: 4. y = x'sinx + 2xcosx – 2sinx 5. g(t) = tan(t – sin2t)

A: In first questions use product rule of differentiation. And 2nd question use chain rule...

Q: S= dx 3+ sinx+cos X

A:

Q: Evaluate the following: 1) f sin x sin(cos x) dx

A: Integration

Q: b) y = sec x tan x

A: Given the functiony=secxtanx

Q: 2 tan(x)dx 0,

A: Let  I=∫0π2tan(x) dx =lnsecx0π2 =lnsecπ2-lnsec0 =∞-ln1 =∞

Q: Given f(x) = cos(2), find f' (x) in simplest form.

A: According o question given fx=cos-1x2We have to calculate the f'(x)

Q: 3. h(x) = r tan-(2*)

A:

Q: f) y = sin-¹ (x² - 1)

A: The given function is y=sin-1x2-1. The derivative of the function sin-1x is 11-x2. The power rule of…

Q: Given the function f(x) = −4 sin³ x, find ƒ'(x).

A:

Q: 4) Differentiate the function, and simplify the result. w(x) = sin /2r + 1

A: w(x) = sin √(2x+1)

Q: Evaluate the following 2 sin (x) -dx 1+ cos (x)

A: I = ∫0π/2sin(x)1+cos(x)dxI = ?