dz If 7 = y cos(x), x = s't and y = s²t³, then dt O a) –2s³ ty² sin(x)+ 6s²t²y cos(x) | O b) –2s° ty² sin(x) O 0)25° ty? sin(x) + 6s²t²y cos(x) d) None of these II

Q: 7. f cos xdx

A: The given integral is Cos4x

Q: 10. If y zx[sin{inx)- cos(Inx)y find dy/dx. A. sin(inx) B. cos(Inx) C. -sin(inx) D. -cos(Inx) 11. If…

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Q: Sx' cos(x4) dx = o 1 cos(x*) + c 4 - -1 - cos(x*)+ c 4 1 sin(x*) + c 4 -1 sin(x*) + c 4

A: *concept :- let, x^4 = t then integrate the simplified term cos(t).

Q: cos(2) is equal 1 اخترأحد الخيارات 2-2 sin(z) dy dx dz 2 – z 4-2 r/2 sin(2z) dy dx dz 4 - z z-2 cx/2…

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Q: Solve: (2y cos x + sin* x) da 4 = sin x dy O y csc x + cos ¤ = O y csc x – cos a = C O y csc? x +…

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Q: The solution of (e+2xy?) dx + (2 cos 2y + 2x?y) dy is given by (A) e + x?y? + cos 2y = c (B) e +…

A: To find The solution of the given differential equation.

Q: | cos 3xdx=

A: The given integral is ∫cos3x dx. Let u=3x. Then du=3 dx.

Q: dz Given that xy + z³ + sin(xyz), find dx O -2xy – xz cos(xyz) 3z2 + xy cos(xyz) O y + yz cos(xyz)…

A: Detailed solution I have given you...hope you will get it easily...thanks

Q: sin (2t + 1) - dt cos? (2t + 1) 31.

A: Use trigonometric substitution method for solving the integral.

Q: dy Find dx if y = sin (x) %3D O 1) -2cot(x)csc2(x) 2) 2cot2(x)csc(x) O 3) -2cot2(x)csc(x) O 4)…

A: This question is based on Derivative of function.

Q: If y= sin f dt, then dy is dx 2x sin x sin x 2 VX sinx 2x sinx

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Q: The function y = 4e3x sin x is a solution of dy = 3y + 4e3x cos x dx A) True B) False

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Q: s gluai 2 si x = vt +1 ou y = 2xcosx + tanx? as il l J mal (x sec?x? + cosx – x sinx) (1 VE+1 1 (x…

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Q: as a function of x when y =

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Q: Find the second derivative of the given function g(y) = sinycosy A) - sinycosy B) -2sin2y C) -4cos2y…

A: As per Bartleby answering guidelines when multiple questions are posted in single picture then the…

Q: er +6 近 。 Oe) sin(2a) Od) cos(2x) T SOƆ 7 5 Ob cos(x²) + 2x (,r)so) (e O ap UIS .2 hip If y =…

A: Topic :- Derivative Correct option = C

Q: (D² – 2D- 3)y = 2sin x a. y, = -cosx – 2 sinx =csx COSX b. y, = --cosx - - sinx COSX c. Y; = - cosx…

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Q: ii) So ² So 1/2/2 (sinx z2 siny dz dy dx.

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Q: Give the general solution to dy 4x sec (2) +y dx a) sec + 4 In(x) = C 4 b) O sin) - = () - 4 In(x) =…

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Q: y = 2 sin(2x) +11 30 30 30 Park 8. y = cos(36) 3- 1 537x 2 424 4 sin)-1 9. y 45 . 2 34 36

A: Note: Since Multiple Questions are asked, I am solving the first question, Kindly ask other…

Q: 8) S dx it sinx + cos x a) in (1 + tan =) + c b) In (i - tan £) + c c) - In (1 + tan x) + o 2 d.)…

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Q: v (t) x w (t)=((t)i + (sin t)j + (cos t)k) x ((3t)i + 2k) ijk t sint cos t 3t 02 =(2 sin t)i + (3t…

A: The cross product of two vectors A and B is given by:A=ax i +ay j +az kB=bx i +by j +bz…

Q: 2) Sx sin(2x?) dx 3) S cos?(2y) sin(2y) dy 4) f sec3 x tanx dx

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Q: If z = x2 – y2 and x t cos 2r and y = r sin t, then %3D a2z is ar2 (A) 2 cos (2r) + 2r? cos?(t) –…

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Q: Fill in the blanks: 1. If tan z = 2.5 then tan(-x) = 2. If sin x = 0.1 then sin(-x) = 3. If cos x =…

A: 1. tanx = 2.52. sinx = 0.13. cosx = 0.8 To determine: The values of tan-x, sin-x and cos-x for (1),…

Q: Find dy/dx if y=- O dy dx Ody dx O dy dx O dy dx = = = 1-t 1+t = sec 2t (1+t) ² (1+1) 2 sin2t cos2t…

A: To find dydx if y=1-t1+t and  x=cos2t.

Q: dx √(1-x²) 7. The value of f A. CONNE Oc O J. N is B. sin '(x) + c 4 C.rosx + le D. cosx A 8. Jcos'…

A: I am attaching image so that you understand each and every step.

Q: 5) If dy da = y² + 1 and x = 1 when y=0, then A) y tan (x-1) B) y =sin (x-1) C) y =√x+1 D) y = tan x…

A: