Find (6æ° +3x?) dx

Q: complete the square before using an appropriate trigonometric substitution.

A: Consider the given indefinite integral: Here the objective is to evaluate the given integral using…

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Q: Evaluate 8 cos (2a² + 2y²) dy dæ Hint: You could take a cab to the pole.

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Q: The appropriate trigonometric substitution for dx is 3r-r2

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Q: If y = cos?(3x), then : dr %3D II

A: Given, y = cos23x  We have to find the value of dydx

Q: cos'p dp 3) 1- p?

A: Sol:Given ∫cos-1PdP1-P2     ....(1)now we have ,ddP Cos-1P = -11-P2 ...(2)from (1), u = cos-1P…

Q: Find cos a da 15.

A: We are asked to evaluate the integral.

Q: y(6y² – x-1)dx + 2xdy = 0

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Q: Find the area of one leaf rose r=a cos 2B

A: The given polar curve is: r=a cos 2β

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Q: II a.5 cos? =D5

A: You asked multiple questions but as per guideline I can do only one question. Please repost the…

Q: Convert r = 5 sin(0) to an equation in rectangular coordinates.

A:

Q: Change the equation to rectangular coordinates. r(3 cos e + 4 sin 0) = 12

A: r3cosθ+4sinθ=12

Q: Evaluate x cos bæ?) dx 3

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Q: 2) cos C 34 30 16 B

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Q: Graph the equation r = sin (8/ 7 u) for 0<=u<= 14pai.

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Q: Graph the equation r = sin (8/7θ) for 0 ≤ θ ≤ 14π.

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Q: x = 48 cos(t),

A: answer is in next step

Q: E. Find the cartesian equation of the following: 2. r2 cos(20) = 4 %3D

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Q: 4 Solve (D? + 4) y = cos (2x)

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Q: (y2+yx)dc+x?dy=0

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Q: Change the equation to rectangular coordinates. r(1 − cos ?) = 4

A: r=x2+y2x=rcos θ, y=r sinθ

Q: Solve the equation dy + (cot t) y = sin t dr

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Q: Find the amplitude of y = -4 cos (2x).   a.  -2  b. 2 c. -4 d. 4

A: We know that the amplitude of a function y = a cos x is modulus of a. It is half the distance…

Q: r =3 coS50 %3D

A: See the details solution in below

Q: Solve the diff eq (ху?+x-2у+3)dx +(x?у — 2х - 2у)dy %3D0

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Q: 2* In radians, x° = %3D a. 180x 180 b. 180x С. d. 180 O A

A: To convert x° in radians

Q: 4) cos C 15 B 17

A: According to basic definition of trigonometry;   Cos(c) = BC/AC              = 8/17

Q: find dr/dθ r = 4 - θ2 sin θ

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Q: convert to an equation in rectangular coordination r = 1/cos θ − sin θ

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Q: so Je cos T0 d0

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Q: Find the sine of ZF. 3 33 42 F

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Q: 3) Change r2 = 2 sin 20 to rectangular coordinates.

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Q: Find ∫cos (7θ + 3) dθ.

A: Consider the provided expression, ∫cos7θ+3dθ Find the value of the integral. Apply the Substitution…

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

A: Solve the given differential equation

Q: Find the acute angle between the planes. Round to the nearest thousandth of a radian. = 9x - 9y – 5z…

A: I have appended the formula used in the solution part.

Q: f side a using the Law of Cosines. R

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Q: r = sin +2cos²

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Q: dx after appropriate use of trigonometric substitution, it will be transformed into? Vx² –4x+1'

A: Given That: The integration, ∫dxx2-4x+1

Q: Transform the equation to rectangular equation. 1-2 cos 8 O x? - 3y2 +8x + 4 = 0 O 3x2 - y? + 8x +4…

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Q: Evaluate I cos 2r dr.

A: Let, Use integration by parts formula, Here,

Q: Find cos T for this triangle. T. 12 17 V145 a. 145 12 b. 145 17 C. 12 17 d. 12 145

A: We will use the formula for cosine With respect to T, RT=adjacent, RS=opposite, ST=hypotenuse

Q: (d) cos (30) , (e) |AD|

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: convert to an equation in rectangular coordinates. 14. r = sin 0

A: We need to convert the equation r=sinθ in rectangular coordinates. Let us assume x=r cosθ, y=r sinθ.…

Q: Convert r = 10 sin(0) to an equation in rectangular coordinates

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Q: Simplify cos? I sin? t 8 8. V2 2 1 - V2 2 O 1 1/2

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Q: Graph the equation r = sin ( ) for 0 < 0 < 14m.

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Q: 2 S (x+) dx C cor?(?r)dr

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: cos A 30 B. 16 34

A: Right angled triangle    To find Cos A