B) Find (블)x,()'(일), Prthe Pte 2- w= x?+y-2 +sin z 3. w:x+y+2", ysinz+ z sin so

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A:

Q: Ei Tan Bo Xx SiA find JEi de a Bo

A: Given           εi=Tan β0X1X2β1-sin Yi3 Find ∂εi∂β1 and ∂εi∂β0.

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Q: write sin(3x)cos(6x) + cos(3x)sin(6x) as a single trig function

A: This question is related to Trigonometric identities, we will solve it using given information.

Q: Ja + + tan x) sec?x dx

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Q: Suppose that a is algebraic over a field F. Show that a and 1 + a-1have the same degree over F.

A: Let's consider that 1+a-1∈Qa then, it can be concluded that, Q1+a-1⊆Qa                  …1

Q: x+(1/x)=2 cos theta , then show that x2+(1/x2 )=2 cos2 theta

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Q: 3. Solve the following equations over the interval [0, 2π]. Use exact values where possible, or…

A: a) tan2x=13 tan2x=13tan x=±13x=π6,7π6,5π6,11π6

Q: 2 s²+25

A: The following formula is used in finding the inverse Laplace of the given function.

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Q: d dz : (sin(-æ)) = (sin æ). %3D Select one: O a. False. O b. True.

A: The mathematical statement is given by ddxsin-x = ddxsinx

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A: The given function is: y=sin(ax)cos(bx) So, y'=sin(ax)ddx(cos bx)+cos(bx)ddx(sin(ax))…

Q: Integrate: - da 9x2+16 O In (3x + v9x2 +16) + C O In (3x + V9x2 +16) +C ㅇ tan ' (뚜) + C 0 tan1 (부) +…

A: Given ∫dx9x2+16

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A: Given that a integration of tan(x/2) and we solve it by using general formulas of integration. We…

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Q: b) f′(6)≈ c) f′(4)≈

A: To find out the slopes by the help of table.

Q: Prove that a b π √√(x − a) (b − x)dx : = (b-a)² 8

A: To prove that,  ∫abx-ab-x dx=π8b-a2

Q: Multiply: (5x'y*)(-6x"y*) b. (4x²y'z*)(2r°y°z*). a.

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Q: What is the dependent variable in the equation dr + (2rcot0+ sin 20) d0 = 0?

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Q: Lim メートo Cos aX Cos bX

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Q: 6) - secx tanxd x

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Q: Find a suitable substitution for evaluating ∫tan x sec2 x dx andexplain your choice.

A: we have to integrate the following integral using a suitable substitution. ∫tanx.sec2xdx

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Q: 4т f tan tan 9.

A: tan-1tan(x)= x hence tan-1tan-4π9= -4π9

Q: Differentiate y = 5 sin(2x-4). O a) dx = = -5 sin(2x-4) о O b) ad ax O c) = 5 cos(2x-4) = -10 sin(2x…

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Q: Draw the greph- (4) y = -4 sec (17X), find T.

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Q: fcos:fin x - sin' x )dr.

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Q: dx Evaluate V- x² – 4x – 1

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Q: y = ln(x In x)

A: Given- y=ln(xlnx) To find y'. Here we will use the following formula-…