7T then use the rectangular coordinates of P(t) to find sin t and cos t. If t = %3D 4 sin t = %3! cos t =

Q: Find the quadrant in which the terminal point detemined by t lies. sin(t)<0 and cos(t)<0…

A:

Q: Determine d34 (cos t) dt34 Choose the correct answer. – sint cos t sin t - cos t

A:

Q: Find : dw/dk α w=2 sin m ka 2

A: To find dw/dk for the given w

Q: 2 X(+) = SIN'セ y (t) = Cos?t 9) IF dy FIND %3D

A:

Q: 1. Evaluate COS dır V1- 2 sin æ (7/6 (a) ( - z)e* dz (b)

A: To evaluate the given definite integrals.

Q: Find the speed at the given value of t. r(t) = (sin(3t), cos(6t), cos(7t)), t = %3D (플) = 프2

A: Given:

Q: Find the general solution of the equation. xsin ydx+ xcos ydy +2 sin ydx =0

A: The solution are next step

Q: The integral (cos(3x))sin(3x)dr under the change of variable u = cos3r becomes ưdu. 9/29 Select one:…

A: Given integral:

Q: If cos t = - and t is in the 3rd quadrant, then sint = %3D V32 6 V40 6 V32 2 V32 6 O V32 2

A:

Q: Determine the values of A, B and C. 2 X²V4 – x²dx = A sin? t cos²t dt B

A: Consider the integration as I=∫02x24-x2dx Put  x= 2 sint⇒2 cos t dt =dx Also  x→0⇒t→0Againx→2⇒t→π2

Q: Eliminate the parameter t in the following. x = cos 2t, y = sin t

A: Given that x = cos 2t; y = sin t To eliminate: the variable t Needed formulae: cos 2t = cos2t -…

Q: Suppose the position function of a particle is given r(t) = (√3 cos (t), t-4, √3 sin(t)). If the…

A: Given : r(t)=3cos(t), t-4, 3sin(t) is the position function of a particle. To find : If the particle…

Q: Given: x = 0 – sin 0; y= 1 – cos 0 d'y Find: da?

A:

Q: Given dy find 36 Cos 6x y' dx sin 6x + c 6 sin 6x + c O-6 sin 6x O-36 sin 6x

A: here option a is true.

Q: Which of the following is equal to J: x2 dx ? A. sin-1 (t) + € B. sin- (t) + € Option 1 O Option 2…

A:

Q: find the speed at the given value of t. r(t) = (sin 3t, cos 4t, cos 5t), t =

A: Given: rt=sin3t, cos4t, cos5t To find the speed at the given value of t=π2. Solution: Speed is the…

Q: b) Describe, the motion of a particle with position (x,y) as t varies in' tthe given interval X= 5+…

A:

Q: 1 let r0) -(sin 34, cos 3, Jī r), a) Find 7(1) and N(1) b) Use your results from part a) to find…

A:

Q: Find sin(t) and cos(t) for the values of t whose terminal points are shown on the unit circle in the…

A: Simplification

Q: y(1) = yo + A cos(@t + p)

A:

Q: If x = sin2 (u) and y = cos² (u), then dy is : dx а. 1 b. cot(x) C. tan(x) d. 1-

A: Differenriate

Q: +2% X Sin x dx Kt, then the value ofk is equal to

A: Introduction :

Q: If x = t +cos t, y= sin t, find d^2/dx^2

A: Given that      x=t+cost , y=sint  Here we have to find d2y/dx2 .

Q: Show that cos(e-²) dz . 2πί - sin(1). 22 Here C = {z E C||2| = 1} (the unit circle).

A: prove is following...

Q: 3. Find all angles 0 between 0° and 180° satisfying the given equation. V3 A. sin 0 = 2 B. cos 0 = 2…

A:

Q: Given x = 2 cos 2t and y = 5 sin t. Find when t = dx

A: Given:

Q: Which of the following is equivalent to u=-cost+v3 sint ? a) u = 2 cos t +- 1 b) u = – cos| t+ 2 3…

A:

Q: 41 cos t dt = 1+ sin?t /2 If q sec e de, then a = b = and q =

A: Solve the integral in the following way:-

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

A:

Q: The value of 'b' for which u(x, y) = ebx cos 5y is harmonic

A:

Q: If y = (tane) /28 +1 find dy then choose the correct answer: %3D dx

A:

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

A:

Q: Given that (-) x sin-1 -1 = COS eya. dy in the terms of x and y. dx Find

A: Given: xsin−1⁡1y=cos−1⁡eyx Since, dsin-1xdx=11-x2 and dcos-1xdx=-11-x2

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: A particle moves according to the position function s (t) = e2t sin (3t). %3D

A: Definition used -                        v(t)= dsdt                       a(t)=dvdt=d2sdt2…

Q: 3 cos(wt - a), where w and a are constants

A: We find the Laplace transform

Q: Find r′(t). r(t) = 3 cos3 ti + 2 sin3 tj + k

A: Given that, rt=3cos3ti+2sin3tj+k

Q: Given: x = 4 cos 26 and y= 2 sin 26 What is the value of in terms of 6. dz O dy csc 29 dx2 -csc 20 O…

A: The solution is given below:

Q: f(8,t) = cos os(0e*) + cos( + e*) = COS + cos (s+

A: Find partial derivative.

Q: Find the given 5x? cos 2x dx. Using this: "uv – f v du"

A: NOTE: Refresh your page if you can't see any equations. . use integration by parts take

Q: Find the value of dw / ds at s = 0 if w = sin (e√r) and r = 3sin (s + π/6).

A: w=siner,  r=3sins+π6 Differentiating w=siner with respect to r, we get…

Q: What is the value of S(cos 1 + V1 +r? sin?t cos -=/4 cos'r) dt ?

A:

Q: When J x°cos (x-)dx is evaluated using IBP, the value of J v du is? A - cos (x2) B none of the…

A:

Q: If sin t 2 and t is in the 3rd quadrant, - then cos t = Vī6 V34 5 Vī6 3 Vī6 | Vī6 3

A: Given Sin t=-(3/5) t =is in the 3rd quadrant Find out  cos t=?

Q: 4. (cos 2y – 3x²d²)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0

A: Given: cos 2y-3x2y2dx+cos 2y-2x sin 2y-2x3ydy=0  ……1

Q: A certain substitution gives S sin*x)cos"(x)dx = S (u²-u*)du .what is n?

A: For substitution- Balancing the above equation, we can solve it as follows-

Q: Given x = sin4t, y = -cos4t, then find at %3D t = 16 dx О a.3 O b. 2 O c.0 O d. 1

A:

Q: The integral . (cos(3x))'sin(3x)dr under the change of variable u = cos3r becomes v u'du. 9/29

A: