Evaluate the following and show all necessary solutions. Enclose your final answer. tan? x (1+ sin? x) 7. dx cos? x 8. | |4.x – 5| da -

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Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1 (2) sech x - 4 tanh x = 1

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Q: Solve the following equation for 0 where 0<0 < 360°. sin 0 = 3 4. O 60°, 120°, 240°, 300° O 49°,…

A: Here, we will solve sin2θ=34. Now,                sin2θ=34⇒sinθ=32, sinθ=-32⇒θ=π3+2πn, θ=2π3+2πn,…

Q: 3. Solve the following equations over the interval [0, 2π]. Use exact values where possible, or…

A: a) tan2x=13 tan2x=13tan x=±13x=π6,7π6,5π6,11π6

Q: 2) Find and of the following equation then simplify whenever possible. dx x = 1+ Sin t y = Cos? t

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Q: 2. S sin° () dx

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A: Derivative

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Q: Solve the following equations over the given interval. 1) 4 cos? x-3 = 0 over [0°, 360°) 2) sin?x +…

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Q: EVALUATE -dx + 144 ,2 O x – 12tan-1 12 none 1 -sin' 12 x – -1 +c 12 O x – tan-1 12

A: We have to evaluate  ∫x2x2 + 144 dx. We know,  ∫1x2+a2dx = 1atan-1xa + C      (where C is constant…

Q: Solve for y cos>x + jsinycosy - sin?x = 0.866 + jo.5 (А) 15° В) 45° (© 15°, 195° D 45°, 225°

A: Using the properties of the trigonometric functions, it can be written that:…

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Q: ) Solve Hhe following equation for X in [o,27) 2 Sin x -Sin t-1=0

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Q: 2. Find the general solution of cos² x sin x dy + (y cos³x - 1) dx = 0

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Q: tan? x (1+ sin² x) dx cos? x (9) (10) / (V – 1)° dx

A: 9 Given  is        I=∫tan2x1+sin2xcos2x  dx      ∵sinθcosθ=tanθ   1cosθ=secθ      I=∫tan2x…

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Q: 1 s¯¹(x) 2 cos √1-x² -dx

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Q: Solve the following equation 2 sin 3x + sin 2x + 1 = 0 on the interval 0 < x S 2Tt.

A: The given equation is: 2sin3x+sin2x+1=0. We have to solve this equation on the interval 0≤x≤2π.

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Q: dx 4. Evaluate cos? ' x (tan x + 1)

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Q: Solve the following equations tan (x ― pi/2) = 1 on the interval ( ― ∞,∞) 2cos (x/3) + 1 = 0 on…

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Q: 3) Solve S(4cos? x+4 sin? x)dx

A: Given:

Q: e. Find sin (x – y) given that sin x = 8/17 with 0 < x < 90° and cos y = -24/25 with 180° < y< 270°.…

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Q: B- Find sin [sin-(0.5) + cos-(0.5)]

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Q: 4. How many solutions for x would the following equation have for any positive value of b? Justify…

A: Given:   for the given tan bx =12,…

Q: 1. Solve the following DEs and express your answers in explicit form. a) y' = -2x((y+1) b) sin rdy =…

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Q: Evaluate the given function cos³xdx = (y? - y² sinx)dy is equal to.. 2y3 A. sin?x = 3 2sinx + 20 y3…

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Q: Solve the following for the value(s) of x on the domain 0 < x< 360° Provide a complete solution 2…

A: The given equation is

Q: Kindly include complete solutions, thank you!

A: Given:- sec2(θ) +tan(θ) =0 To find :-  Solution of given equation in[0, 2π]

Q: Show the solution (use applicable secondary formula): sin x dx V13-4sin?x -2 sin x dx V9+4cos²x…

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Q: Solve the following . (a) /; sin x dx cos? x 2 (b) /| -] dx sin x x + 2

A: To evaluate the given integrals: a)∫sinxcos2xdx  ∫sinxcos2xdx On simplifying further we get:…

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Q: 2n e"lao cos² 0 r,? dr sin@d0 $ do = x X = ? 32 παρ

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Q: sin 2x dx 1+ cos? x

A: Given : ∫sin2x1+cos2xdx

Q: Choose the Correct answer for the following: 3 1- 9 for y= sec x is equal to: dx 3 a) sec x tan x b)…

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Q: -y'-Tany = x" (n # 0) 1 Cos?y

A: We change it into first order linear equation and then solve.

Q: (c) 4 h(x) = 8 sin a + 1+x? (d) f(1) = 5 cos I -

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Q: 3. Evaluate [2(sin? x+ cos x) dx is Solution:

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Q: C): Solve the following equations:- (1) sin 2x + 2 sin² = 1 (2) sech x - 4 tanh x = 1

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Q: (9) / ! tan? x (1+ sin² x) cos? x dx

A: As per Bartleby Guidelines, we are supposed to answer only one solution in case of multiple…

Q: Show your solutions for each of the questions in the following. Evaluate each indefinite integral.…

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Q: After solving the equation e 3y = 2 + cos(x) we get that x equal to :

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Q: II. Evaluate the following and show all necessary solutions. Enclose your final answer. x dx 8. VA…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.