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A: To find dw/dk for the given w

Q: 4 TT 37. tanα < a < T; cos B = 2' 50 < B < -- %3D 3 2 2

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Q: | 12sin z cos zý3 sin? z + e® dz

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Q: du du 1 If u = tan show that r + J: sin 2u. %3! ar X-y

A: To show the given expression using u.

Q: Find the Re(z) and Im(z) z=sin(e^i3)+sinh(5∠30)

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Q: a) sin C = 13 sin 83º 18

A: Solving a part of question 6 as it's the only one completely visible and we are obligated to solve…

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A: In this question, the concept of Z-transform is applied. Z-transform In its most basic form, the…

Q: dr; 71+ cos² 0 csc? Od0; cos? 0 | (2² – |r – 1)dxr. -

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Q: If x = 4 sin 0, then J csc2ede = %3D

A: Here, ⇒x=4sinθ⇒sinθ=x4 By using Pythagoras theorem, We will have remaining side of the triangle…

Q: So sin' z cos²z dr csc? z

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Q: az Find az and ду e = 5x 2² + sin(r + 2) – y?.

A: ∂z∂x=52xz2+2x2z∂z∂x+cos(x+z)1+∂z∂x…

Q: If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

A: Differentiate the equation u=e3x with respect to x.…

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A: Here we have to evaluate the given integration.         ∫ x2 sin4(x3) cos5(x4) dx

Q: A) S sin edo b)S sec edo )Side Ssec?eddo E)S cos ede

A: We have to find the integral

Q: * cos Ew) sin Gw) dw 5.

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Q: 5. cos(M) = %3D 6. sin(L) = %3D 7. cos(L) = 30 34 %3D 8. tan(M) = %3D 16

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Q: c. sin? 0 -2cos? 0 = 0 over [0°, 360°)

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Q: 2х я 3 sinф p? sin o dp dp dO. 0 0 0

A: Given data:     The given integral is: . Evaluate the value of the given integral.

Q: or X Comp : use cos y Comp: use sin Cos 45° ADJ Fx= Hyp SHPP FR 50ON tor y Comp: use Sin Hy 34° Fy=.…

A: Explanation and solutions is given below.....

Q: sketch r= la 2 Sin'(o+)

A: Given r=1-2sin2θ+π3 Let us sketch the figure. Taken 0≤θ≤12π

Q: E sin i sin 98 cos 50 de

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Q: 2 sin°e cose de= 60 a O 120ь о .c O 60 1 .d O 120

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Q: i sin(In(-32)) = cos(In(-32²). True or False: dx True O False

A: Topic = Derivative FALSE

Q: 2TT TT 2 5 cos o j ê sin@dr ded@=5TTC

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Q: I don't understand how they got 10 square root of 6?

A: Given,

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Q: du u = ek sin-¹ m. m = sinx.k = 2² Iny,l == then at mv2 In 2 4 In 2 b) 2√2 rv2In 2 # In 2

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Q: find dp/dq p = (1 + csc q) cos q

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Q: Sỗ ſcos ur sin u dr du 0 0

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Q: S 16 sin?x cos?x dx x cos²x

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Q: B. Let ulr,e) = r"sin(ne). Find 4 2n-2 +u -nr Ure or

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A: Given :

Q: 4 I sec(ø) (b) p* sin(ó) dpdódo

A: The answer of part b is as below.

Q: If 4 | sin*ea cos cx dæ 0, 35 then c=

A: H3 hhh y

Q: find dp/dq p =sin q + cos q/cos q

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Q: 22. Determine Sz sin? y cos y dy

A: Given that: ∫0π2sin2ycos6ydy

Q: Show that ea?,2 cos bx da = (VT /2a). a > 0.

A: Given integral is∫0∞e-a2x2cosbxdx=π2ae-b24a2, a&gt;0The integral is derived as shown below

Q: dr if r= cos(1+ sin@). de

A: Given that: The equation is r = cos ( 1 + sin θ ).

Q: Flag question T/2 S 3 cos (x) sin°(x) dx 15 15 None 6 15 45 2.

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Q: The value of 6 Jo° (4+ cos2x)dx is: 글(똥-0.5) 1 ( 47 4T 글(똥 +0.5) 3 None 글(품 + 0.5) 1 4 3

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Q: ди du and ar if u = e" cos 0 . cos(r sin 0) (1) Find

A: It is partial derivative

Q: de I cos? 0 2

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Q: 10 Cos 30 + j sin 30 9 Ccjs 1000)

A: Given expression iscos2θ+jsin2θ5cos6θ+jsin6θ10cos3θ+jsin3θ9cjs100θ

Q: 1 La So cos " dy dæ COS evaluate

A: We are given the Integral: ∫π2π∫0x21xcosyxdy dx=∫π2π1xsinyx×1x0x2 dx=∫π2π1x2sin xdx It cannot be…

Q: ди Ans, u = e"(A,er" cosh ax + Bjehar" sinh ax) e ka't cos ax + B,e¯ha" sin ax) -ka’t, u = e"(A;x +…

A: Given PDE is k∂2u∂x2-u=∂u∂t,  k&gt;0          (1) Let the solution be u=XT, where X and T are the…

Q: then If z=e sin 0 = ? О а. 1 O a. 2 Ob. 1 2i +2 OC 2i d. Od. 1 2. +2

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