4cos? 0 – 1 = 0 4 «4cos %3D 180° < 0 < 360

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Q: 4T then 3 If 0 = sin(0) = %3D Give exact value.

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Q: Without using a calculator, find all the solutions of sin(t) = – 1 - where – T < t< T.

A: The given equation is Sin(t)= -1

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A: Here, sin (u) cos (u) = 0 By using zero product property, sin (u) = 0  or  cos (u) = 0,

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Q: The x2- 4 dx can only be evaluated using trigonometric substitution technique . A True B) False

A: To find if the given integral can be solved only by algebraic substitution technique.

Q: Solve the following equation y+ sin r.y sin z.

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Q: The x² – 4 dx can only be evaluated using trigonometric substitution technique . A) True B False

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Q: Find the solution of the equation =e* cos y d ig %3D dy? which tends to zero as x 0o and has the…

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Q: Solve the following equation shown.

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Q: Find the solution of the equation cos y dy? which tends to zero as i → 0o and has the value cos y…

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Q: {2ху — tan y)dx + (x? — xsec?у)dy %3D 0 - -

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Q: Solve the equation on the interval 0 s0<2r. V3 tan 0+ 1 = 0

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Q: solve the bernoulli equation dy/dx+y = y^2(sinx+cosx). and show that the answer is y(cosx+Ce^x)=1

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Q: Which one of the following equations has solution 0? A. arctan 1 = x B. arccos 0 = x C. arcsin 0 = x

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Q: Find d²y/dx² of Y= x cos (5x)– sin? x

A: Given: y=xcos5x-sin2x

Q: Solve the equation - v3 sin 0 ¸ 2/3 +5=6, were 0 is in quadrant 3. cose cot 0

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Q: Use a sketch to find the exact value of y. 3. y = csc sin 4 O A. O B. C. O D. + |3 3/1453 M |5

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Q: Find the general solution of the following equations: 3) y" + y = tan x

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Q: Verify that (e* sin y +3y)-(3x- e* sin y)y' = 0 is exact. Then solve the equation. 5.

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Q: c. sin? 0 -2cos? 0 = 0 over [0°, 360°)

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Q: 16) da 1 y: Cos JE t 3.

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Q: dy 50(1 + cosx) – 0.05y, 0<x< 2π dx (0) 200

A: Given an ordinary differential equation with initial values.

Q: The amplitude of y = 1/2 cos 3x is _______ and the period is ________

A: Given,           y=12cos3xWe know that,          For a function y=acosbx+c+d           Amplitude,A=a…

Q: 5. Find if y = sin(vT +1). dr

A: Please refer to the image below

Q: Find the solution of the equation M a²z a²z = e cos y Əх² ду? which tends to zero as x→∞ and has the…

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Q: Solve the following problems (using solution by sine law/cosine law): 2. A pilot wishes to fly an…

A: Given: Pilot want to fly an airplane due East, but a string wind blowing southeast at 100 km/h…

Q: The velocity, v ms-1, of a fairground ride t seconds after it begins is given by v = (3e-t + 7)sin t…

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Q: Find the solution of the equation cos y ax' ay? which tends to zero as x> o and has the value cos v…

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Q: Solve SS sinedx dy=

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Q: Solve the following Riccati equation dy _2 cos? x – sin² x + y² 2 cos x y1(x) = sin x dx

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Q: Find the solution of the equation a²z a²z + Әх? ' дуг which tends to zero as x→∞ and has the value…

A: Given: The equation is ∂2z∂x2+∂2z∂y2=e-xcosy. Also, the given equation tends to 0 as x→0 and its…

Q: t sin(t) + 6 cos(t) t7

A: This question is based on properties of exponents.

Q: Given: X = 4 cos 20 and y = 2 sin 20 What is the value of d y dx? in terms of

A: We have to solve

Q: 4. S sec*(8)dx

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Q: implicitly, if e*(e» – 1) + sin(2x + 5y) = In(v7) – · cot(2x) 8. Find %3D y+2

A: Given,

Q: Solve the following equation using separation of variables: cos(x) dy 2y d.r 1+ sin(x)

A: Solution of following equation using separation variable 2ydy/dx= cos(x) /(1+sin(x))

Q: Solve the following Bernoulli's equation by using an appropriate substitution. sin y (x + sin y)dx +…

A: We have to solve the give Bernoulli's equation by substitution.

Q: Solve the following equation correct to one decimal place: sin t dt = 1

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Q: Solve for the general solution of the following equations dy d. sinx+ ( cosx) y=sin( x²)

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Q: Find the general solution (implicit explicit) to the following equation. or et y" – 2y' + 2y =…

A: We have to find the general solution of the differential equation y''-2y'+2y=exsinx.

Q: c) Se- sin(4t) dt

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Q: (b) If y = sin (m sinhx), find the value of (yn)o ·

A: Given   it has to find nth derivative at .

Q: Without using a calculator, find all the solutions of sin(t) = - 1 where T <t<T.

A: Answer is : sin(t)=-1t=sin-1(-1)t=-π2