إكمال الأسئلة a z for the function : a x Find x sin ( y3 ) + x e3z - cos ( z? ) = 3 y - 6 z + 8 + X e CoS %3D dz 2x sin (y3) + e 3z dx - 6 - 3x e3z - 2 z sin (z?) A O az dx 3y'x?cos (y3) -3 - 6 - 3x e3z - 2 z sin (z²) .B O az %3D 2 x sin (3y) + 3e3z - 6- 3хе 32 - 2 z sin (2z ).CO a z -6 -3 x e3z - 2 z sin ( z² ) %3D .D a x cos ( y³ ) + e3 2x II

Q: 1. cosh z= cosh x cos y + i sinh sin y sinh z = sinh x cos y + i cosh x sin y.

A: According to our guidelines we are supposed to answer only one question, since you have asked more…

Q: Use a computer algebra system to analyze the function over the given interval.…

A: Consider the provided question, Analyzing the given function over the given interval using computer…

Q: 1. Find the tangent line to the graph (4-x)y? = x³ at the point (2, 2). 2. Find the tangent line to…

A: Equation of tangent line

Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

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Q: 25) Use Dr. Dai's Differential Table to find [tan - 1(x) ]' =, 25) A) 1/ (1+ x2) B) – tan-2(x) sec2x…

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Q: 1. f(t) = cos*t – sin*t 5. f(x) = tan 2x 1-cot 2x 2. y= sec20 – tan²0 3. f(x) = sin(cos x) %3D 3 4.…

A: Here we have to find derivative of given questions.

Q: 1. y = sin(x) tan(x) 2. y = cos (x) 3. y = cos(tan(x)) 4. y = tan(x) A. y' = -3 cos (x) tan(x) В. у…

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Q: |(x + 1)°sinx dx -(x + 1)³ cos x + 3 (x + 1)² sin x – 6 (x + 1)cosx – 6 sinx + C (x + 1)³ cos x – 3…

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Q: sin (x + y) %3D coS Xcos y 7. tan x + tany

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Q: 13. Integrate: S(sec³ 0 tan 0 - sec 0 tan³ 0)d0 A. In sec 0 + C В. In sin @ + С C. sec 0 + C D. sin…

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Q: 1 e function f (x) = ,x E [-27, 2nt| is continuous on: 1-cos x

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Q: 7. Integrate: S sec? (n²x)dx A. 2n tan n² + C В. x sec2 п2 + С C.금tan(T2x) + C D. x sec nx + C 8.…

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Q: find the critical numbers of the function g(theta) = 4(theta)-tan(theta). My question is from the…

A: Refer to the question as per screenshot provided, I have to answer the how the last step came.That…

Q: cosh (T– i) = eT cosl - i eT sin 1 + e-" cos 1 + ie- sin 1 - IT 2 e cosl - i eT sin 1 + e" cos 1 +…

A: First option is correct answer. Thankyou!

Q: 1- csc x ... Differentiate: f(x) = sec x f' (x) = csc² a – sin æ ... f' (x) = – sin a – sec? x ...…

A: We have to find derivative

Q: 9. For F = (x siny, tan(xz),ye¯²), find rot F. A. (-x sec?(xz) - e-zy-1,0, z sec²(xz) – x cos y) B.…

A: the given vector is: F=xsiny,tan(xz),ye-z we have to find rot F.

Q: f(z) = 3 sin I+ 3 cos z, а (-п, и) on

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Q: 5. Find all the first and second order derivatives of the function f(x, y) = x³ ln(y) + ³xy + x²y³ +…

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Q: sin(x)cos(2x)sin(3x) dx A B D sin(3x) cos(3x) sin(2x)cos(2x) sin(2x) + + 12 8 sin(3x)cos(3x) 12 +…

A: We have to find integration of given trigonometric term.

Q: 4 sin(x) cos(z) + 2 sin(z) – 2cos(z) – 1 = 0

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Q: 2) Proof that If y = f(x) = = cos x then dx sin x

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Q: bn =1/n f(x) cos nx dx bn" f(x) cos nx dx bn fo) sin nx dx bn -1/m f(x) sin nx dx

A: Last option is correct.

Q: integral Scos 4 (3x) Sin (3x) dx Evaluate the

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Q: 9) f(x. v) = sin (x- 3y) Ans. f, =2sin(x-3y)cos(x-3y),. f, =-6sin(x - 3y)cos(x-3y)

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Q: sinx+5* dy for y=In dx e3Xtan(x³) O a. Some other answer cosx+5*In5 3x²sec²(x³) - 3 tan(x³) b. dy dx…

A: We have given y=ln(sinx+5xe3xtan(x3)). Let us simplify right hand side using logarithmic…

Q: y = tan In(x + sin x) %3D y = sin x + In sin e* %3D

A: y=tan ln(x+sinx) y=sinx+ln sinex

Q: Test for homogeneity 3. f(x, y) = tanx - sec²x - cosy 4. f(x, y): x²+3xy

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Q: sin (2x) dx 2. ( (sin(In x) + cos(In x)]² dx xp: 3x/10 In(3x) – (1In(3x))²

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Q: sin x 8x y%3= 8x sin x dy COS X %3D COSX dy COS X 8. %3D 8. COS X dy O dx X COS X + sin x %3D 8 sin…

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Q: f(x) = {cos x 0<x< n n < x < 2n find its Fourier

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Q: Integral proof Prove the formula f coth x dx = In |sinh x| + C of Theorem 7.6.

A: Consider the provided integral, ∫cothxdx=lnsinhx+C Show that the left hand side is equals to right…

Q: cosh (T- i) = %3D e cosl i e sin 1 + e- cos 1 + i e- sin 1 e cosl i e sin 1 + e-TI cos 1 ie- sin 1 2…

A: We know formula of coshx in term of exponential form

Q: cos x- cos y X, =0, y,=0; sin |x|-sin | y | x, 0, yo=0; B) f (x, y)= %3D %3D r) f (x, y) = %3D %3D…

A: As per bartleby guidelines, for more than one question asked, only one is to be answered. Kindly…

Q: *y=(sin(x)+cos(x))cos(x). dyldx -sin 2(x)+cos*2(x)+2cos(x) -sin 2(x)+cos 2(x)-sin(2x) O

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Q: Given X(u, v) = (a () cos u, a () sin u, ) 1-v² 1-02' 1+v2 2av 1+v2 COS u, a %3D (x(u, v), y(u, v),…

A: χ(u,v)=a1-v21+v2cos u,a1-v21+v2sin u, 2av1+v2 x(u,v)=a1-v21+v2cos uy(u,v)=a1-v21+v2sin…

Q: Cos ly -A) %3D show that 2 ニ0 2 8x Sx8y

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Q: A)) Q1/ Find Fourier Sine Integral presentation of the function: f(x) = xe-* , x>0

A: The given function is: f(x)=xe-x ,      x&gt;0

Q: tanx If f (x) = A (В) (ⒸC) D - St 0 sec 3x 1+ e tanx In (secx) √ 1+tan ²x 1+ e tanx sec²x 1+elanx…

A: Finding the derivative of the integral

Q: tan" -1 I# Z-X FEMD fyx At (-,1).

A: The solution for the above question is as shown below.

Q: cosx(cos h – 1) – sinx sin h A. lim h cosx(sin h – 1) – sinxcos h B. lim sinx(sin h – 1) – cosx cos…

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Q: x+y %3D 21. Prove that tan-x + tan-'y tan - xy.

A: Using tan(A+B) =( tan(A) + tan(B) )/(1- tan(A) tan(B) ).

Q: J (sin 3x)² = sin 3x xp- sin 3x CO = sin 3x xp- sin 3x On simplifying further, y2 (x) = cq sin 3x /…

A: In this question , constant is to be included in the last solution of the differential equation.…

Q: 7topic: implicit differentiation

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Q: 24) Using Product Rule (fg)'=f' g+fg', find (x cos x) %3D A) cos x - x sin x B) sin x + x co X C)…

A: Given that: 24. (xcosx)'25. 4x100+4x   NOTE: Q.21 is not visible. Kindly upload completely question…

Q: 2x² sin (x²)dx = V(1-x*) Select one: a. - sin-(x²) cos(sin(x²)) + x² + C b. - cot-(x?) sec(sin-(x²))…

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Q: (x + 1)³sinx dx x+1)° cosx+3 (x + 1)2 sin x-6 (x + 1)cosx-6 sinx+ C | (x + 1) cos x 3 (x + 1)2 sin x…

A: Solving the problem by finding the integral by oarts method.

Q: Please help with question 10-14. Explain clearly. Even if you are only able to solve 1 problem its…

A: Thanks for the question :)And your upvote will be really appreciable ;) Solving 14

Q: 9. y"+y= sec² x Ans. y= c, sin x + c2 cos x0 + (sin x ) In(sec x+ tan x)–1

A: Let's find.