e one leaf of the rose: r = 6 sin(30)

Q: The value of | sin(x + y) dx dy is

A: We will use the fact that  sin(x+y)=sinx cosy +cosx siny to evaluate the given integral.

Q: Find y' at the point (6, 6) where x sin(x? – y²) + 33 = x? – 3.

A:

Q: If y=sin²r+ tant, x=- In(-cost) – e sinr, find the value of y' when = 6 2+ Vze VE 2/3 V2-e ? 2-Vze 2

A:

Q: Evaluate dx 1²√√²-49) SV x>7, using a trigonometric substitution.

A:

Q: dx by using the trigonometric substitution of x 3D V12x? Find sino.

A:

Q: y² +4 dy y

A: Explanation of the answer is as follows

Q: Q. find the apPtoximation of the follo values, which Ts dfetent betueen the intelers 22/7 dr - 2+…

A: We can solve this using trapezoidal rule

Q: y' + 2y = 5 sin(e2x) Need Help? Read It

A: We have to find the solution of given differential equation

Q: In AXYZ, the following quantities are known: ZX, x, and z. Which ratio would you use to determine Z?…

A:

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

A:

Q: bu= 는 Sin hT x dx ans=- xcosuT sin

A: We have to use the UV rule of integration.

Q: Show that Sinc fo) = Salo) = \ %3D

A:

Q: dx =+ v3- 2. Determine the value of k such that sin 6

A:

Q: 7V3 14 Y 8) What is the measurement of segment ZY? 9) What is sin X of the triangle? 10) What is cos…

A: our objective is to find ZY, Sin X,Cos X

Q: J, sin a sin? cos" ,dx COS 2 2 2.

A:

Q: G) dx =+ v3 - 2. Determine the value of k such that sin

A: Find the definite integral and put the limits and then equate each term to get the value of k

Q: Q3 Integrate using trigonometric substitution: dx I To +x² /9 +

A: Let (x/3) = tant Differentiate on both side  dx/3 = sec2t.dt dx = 3.sec2t.dt

Q: For y = sin? x+cos x, y' =

A: Given that, y=sin2x+cos2x We have to find derivative of the given function. Here, y'=dydx

Q: п sin ydx + cos²xdy = 0; y (÷) =| %3D 4

A:

Q: 15. S Vx sin?x³/2 dx.

A:

Q: Find if dy y = e2 sin x Choose the correct answer.

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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

A:

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

A:

Q: tan(r) y" + ?V + y =

A:

Q: If y = sin?t+ tant, x=- In(- cost) – e sinr, find the value of y' when 3/7 -VEle 6/2 2-Vze ? 2/3…

A:

Q: |sin(l nx)dx = ? %3D

A:

Q: Sinx. Osy dx + Cosx. sing dyco

A:

Q: (b) Find, where y= cos ecx- dx -4x+7

A:

Q: 2. Find sin(72) -dz. where C: z(t) = 2 cost+i (2 sint). Os ts 2m.

A:

Q: Using appropriate trigonometric substitution, dx XV9 — х2 is transformed to

A:

Q: J 4 sin xecos* d.c

A:

Q: Find dy/dæ by diferentiating implicitly if sin (a?y?) : = x. Answer:

A: The equation given is  sin(x2y2)=x Differentiate both sides with respect to x ddx(sin(x2y2))=ddx(x)…

Q: (6) / tan? w sec® w dw w sec°

A:

Q: "y= sin?t+ tant, x=- In(-cost) -e sinr, find the value of y' when = 2+ Vze V? 6 2-Vze ? 2/3

A:

Q: cos x )y+y'= e^(-sinx) solve the dif eq for the problem above  thanks

A: Given that  (cos x )y+y'= e^(-sinx)

Q: sin n TTX dx = .A .B

A: As we are familiar with the odd functions,  ( If f-x=-fx, then f is called the odd function) We know…

Q: olve by MUC: (D³ – D² + 3D + 5)y = e* cos 2x

A:

Q: Find the area enclosed by one leaf of the rose r = 12 cos 3u.

A:

Q: Evaluate : L [ ezt -3+sin h t sin

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Q: To evaluate 1 dx 25+x2 the trigonometric substitution x = 5 sint

A:

Q: If y = sin?t+ tant, x=- - In(-cost) - e sinr, find the value of y' when =" 2/3 V2-e 2 6. 24 Vze v…

A: If y=sin2 t+tan t, x=-ln-cos t-esin t, then to find the value of y' when t=π4.

Q: (d) S(2 sin æ – e*) da -

A: Given : ∫032sinx - exdx

Q: x=sinht,y=cosht.

A: Dear student, since what is to find by using given parametric equations is not mentioned in the…

Q: Find the volume

A: Given

Q: 12.) sin(1/a )de 13.) - xp- 14.) (x+x!)*dx

A: Each of the subpart is solved below in details.

Q: 15 cm R. not to scale Ina RST, cos R 3 What is sin T?

A: Trigonometry Question

Q: Given that x=a(1 + sinc), y=a(1-cosc). Find an expression for d2y/dx2 leaving your answer in terms…

A: It is given that , x=a(1 + sinc), y=a(1-cosc). We have to find an expression for d2y/dx2 leaving…

Q: cosh² x – sinh? g(x) = 1 – tanh?

A: