3x° 4y° (х - 12)° (y+20)°

Q: sec (4r) tan (4r) dr sec r tan r dr g. h.

A: the given integral is: ∫sec64xtan24x dx let the given integral be I therefore, I=∫sec64xtan24x dx…

Q: 1) 4- csc? 0 = 0 %3D 3) sec? 0-2 = 0 %3D 5) -3 = -3csc² 0 + 1

A: As per our guideline we are allowed to answer only three subparts of the given problem. Kindly…

Q: g(x) = 7 sinx, [0, π], 6 rectangles

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Q: Verify the identity. 4 sec? y - 4 cot( - y) =- 4 sec? y - 4 cot (- y) - 4 (sec² y - = 4

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Q: dx 2 arctan(4)- arctan (2)-a 4 arctan (5)- none of the choices 3 arctan (2)-

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Q: y= 12 cos(pi/5(x-6))+10 what is x when y=7

A: Given the equation :

Q: = 4 cot -1 3. y = cos x 4. y = c Csc 2x

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Q: 6. y= sinx, x=0, and y= |4 -1

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Q: The Equation (y")² + 2(v')* = 3x : is 3rd degree 1st order ODE 2nd degree 3rd order ODE 1st degree…

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Q: ubstitution Suggested by the Equation y′ + 1 = 4e^−y sin x

A: Given differential  equation is dydx + 1  = 4 e-ysinx ey dydx+ ey = 4 sinxLet  ey  = v eydydx =…

Q: sec2(tan-ly?) dy tan ( tan -ly?) +C 1+y4 A True B) False

A: The given integral,        ∫y sec2tan-1y2 dy1+y4

Q: Cos (x) +ry =4 %3D

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Q: II. Substitution suggested by the equation 3. cosysin2xdx + (cos²y – cos²x)dy = 0 %3D

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Q: (1-x)y" - 2xy + n(n+i)y =0 [ Legendre Equation] |

A: We will solve it by power series method

Q: Solve : 7tan³x – 21 tan x = 0 π 2π 4π 5π A B., T, c. D. 0,T, IT, 3'3 3' 3 7π 5π 6. 3 O A Ов O c OD

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Q: y" - y' - y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: Given :y''-y'-y=cos5t-sin5ty(0)=2 and y'(0)=5

Q: . y=2 sin x |-3

A: Topic = Functions  As per guidelines  ,At a time only one question can be answered out of different…

Q: csc? a sec 2a = %3D cot2 a-1

A: Solve the trigonometry function

Q: -2 4* y" - 47' + 47 = x sinx

A: Solution :-

Q: 12) y = 3 cosx + X

A: we have to locate the graph of the function y=3cos(x+π4) to locate this we will put the values of x…

Q: 2 sec 3x y Do not simplify your ans %3D cot³ cot 3x

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Q: V2 and x = 150 15. If sin (x + y)

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Q: A) Find the nearest distance from the point (-4,2) and the line 2x - y = 5 d?y dy and dx B) Find if…

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Q: [1– 2i] and y = | 3– i 1+ 2i If x = show that x"y = y"x 2

A: Here we will prove the required expression.

Q: EFx = 0] 2100 cos30 – BDcos30 + BEcos30 = 0 EFy = 0] 2100sin30 – BDsin30 – BEsin30 – 600 = 0 Solving…

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Q: 4x^2 - 10x + 4y^2 + 9y - 5 = 0 Find (h,k) and the radius.

A: 4x^2 - 10x + 4y^2 + 9y - 5 = 0 Find (h,k) and the radius.

Q: v=2i^2 - 7i + 12. Identify the independent and dependent variables for the equation.

A: Given v = 2i2-7i+12. We have to identify the independent and dependent variables for the equation.

Q: Solve : 7tan³x – 21 tan x = 0 T 2n 4n 57 A.,I, C. 3' 3 3' 3 3 В.", п, D. 0,,,, 3' 3 3

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Q: C. Trigonometric Substitution. 9-у 1. dx 2. e2x+1 r2+VZ 3. (2+vz х. 4х — х2

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Q: = cos x and y = sec x, -37/2sx5 3m/2 41. y

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Q: arcsin = ab? x? - Va2- y2: Find y'. 2abe (+0) /a-y 1-y 2ab a 1-y 2ab a /a-y %3D

A: We neee to find derivative of y for the function given below:

Q: y=−2+4sin(x2−π) sketch

A: We have to draw

Q: 3 -1 te Sint df

A: We have to find I=∫0∞t3e-tsintdt

Q: y = sinx, x=0, and y= /4

A:

Q: Find the value

A: Given: d2dx2secx we know that  d2dx2fx=ddxddxfx                                         ..1

Q: y" - y'-y = cos(5t)

A: Solution :-

Q: Solue Cos C2x + 3y) by direct melhod %3D

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: sec (4x+7) dx tan?(4x +7) a) --cot (tx+7)+c b) cot (4K+9) 1e c) - tan (4x+1)+e d) # tan (4x+7) +e 4

A: We will solve the problem.

Q: (cos-¹2w) 6. ¡ COS dw √1-4w²

A:

Q: y'=2+ye^(xy)/2y-xe^(xy) find the exact equation

A: Exact DE

Q: Evalute I = - | x cos(2²) +x sin(r²) dr

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Q: A) Find the nearest distance from the point (-4,2) and the line 2x -y 5 B) Find and dx da if x= sin…

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Q: a) rsine de + (r3-2r² cose + cos0)dr = 0.

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Q: QI: A) Find the nearest distance from the point (-4,2) and the line 2x -y 5 dy d²y B) Find and if x…

A:

Q: QI: A) Find the nearest distance from the point (-4,2) and the line 2x- y = 5 d²y B) Find and if x =…

A: The perpendicular distance (d) of a line Ax + By+ C = 0 from a point (x1 ,y1) is given by d = | Ax1…

Q: cosßdß 2+3sinß

A:

Q: dw 2" -1 se sece"

A:

Q: Cos X+q)5

A: d(u/v) = (v du - u dv )/v2 d( f(x)n) = n f(x)n-1 d(f(x) d(tan x) = sec2x d(cos x)= - sin x