trigonometric substitution . (2-; X 2 2

Q: Factor csc2 x − cot x − 3.

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Q: Qi Find the value of z if e =1+3i

A: Solution is in step 2

Q: (x-1)+3(x-1) +5dx

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Q: r(x) = In(x*)

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Q: Quèstion 2 Find : 3 z z -z+2z if z=i -1 -5+3i 5+3i 5- 3i -5- 3i

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Q: Find the distance between the points (3, - 1) and (- 4, 1) Distance = Give an exact answer. Simplify…

A: We have to find the distance between the following points -  (3,-1) and (-4,1) Formula Used -  The…

Q: sin(a + B) sin(a – B) = sin? a – sin² ß

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Q: Ut + tUx = 0 ; U(x,0) = 1/x + 1 this is applied math question. solve the PDE

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Q: Find all values of y such that the distance between (2,y) and (-7,6) is 22. y%3D (Use a comma to…

A: Given that:  Distance between two points (2,y) and (-7, 6) is 22.

Q: V9 – 4x2 x2

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Q: sec?ytanydy The is equal to 4 + tan²y In(4 + tan?y) + C A.- 4 In(4 + sec?y) + C B.- 2 In(4 + tan?y)…

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Q: odulus and argument (in degrees) of z = -3+ 4i € C [both to 1 desc. pl. accuracy),

A: Solution of the problem as follows

Q: Using trigonometric substitutions, ſ x³V4 + x²dx is equal to: (4 + x*)} - (4 + x*) +e (4 + x?) – 4V4…

A: To solve this integral by trigonometric substitution we will let  4+x2 = tan2t

Q: ENRICHMENT ACTIVITY 1. Is the equation vx2 = x an identity?

A: 1. No it is not n identity The correct identity is x2=|x|

Q: Find x such that the distance between (x,2) and (3,3) is 8 units. There are two solutions A and B…

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Q: Give proof and make two questions related to the Theorem

A: Given p and q=2p+1 are both primes.  To show, either q|Mp or q|Mp+2. By Fermat's theorem we have,…

Q: cot x csc x+1 15. csc x-1 cot x

A: Given:       cotxcscx-1=cscx+1cotx    We know that 1+cot2x=csc2x…

Q: -2, Jina the distance between the answers in simplest radical form. 1. J(4,-1) and K(7, 5)

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Q: ate using the method of trig x2 dx x² + 16

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Q: Sin'e+ 3sine - 4

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Q: 7x2+15x+22 dx (x-3)(x2+4x+5)

A: ∫7x2+15x+22x-3x2+4x+5dx…

Q: Sycsc?y coty dy

A: The given integral ∫ycosec2y·coty dy can be evaluated as, Put, coty=t Taking differential on both…

Q: Wthout using tables calaulaters find the values of Or D Tan L -15) D Sin 37(as 7-los 37 Sin 7

A: i) tan(-15) According to formula of  tan(A-B) = tanA -tanB / (1+tanA*tanB)   tan(30-45) = tan30 -…

Q: co the problem. What is an extraneous root of the given equation below? In(x - 2) + In(2x 3) = 2 In…

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Q: (2+3i)²= 37 4i E5+12i

A: The given expression is 2+3i2.

Q: sin(2\theta )=-(1)/(2) find the solution set

A: Any trigonometric equation of the form f(x)=0 has an infinite number of solutions if the domain is…

Q: v of Cosines Find x. 31 21 35° 15

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Q: 2 xdx √9-4x²

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Q: (2+3i)²= 37 4i e5+12i

A: The given expression is 2+3i2.

Q: Find all values of y such that the distance between (5,y) and (-7,3) is 24. %3D (Use a comma to…

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Q: comma to separate answers as needed.) correct choice below and, if necessary, fill in the answer bc…

A: Maxima ,minima: y=-x+sin2x ;[-5π6,5π6]y'(x)=-1+2cos2xy''(x)=-4sin2xFor maximum and minimum value…

Q: Simplity: cos (4 +x) (x-

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Q: Find the distance between the points (1, 1) and (4, 4) Distance Give an exact answer. Simplify any…

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Q: Find all values of y such that the distance between (7,y) and (-6,9) is 24. y%3D (Use a comma to…

A: The distance between the points 7, y & -6, 9 is 24.

Q: Use technology to obtain approximate solutions graphically. All solutions should be accurate to one…

A: For the given equations

Q: csc2 Given: lcot2(클x)- 4cot(글x)+ 4 xp - Find: u cot2 4cot x+ 4 cot cot2 4cot X+4 O ca)-2 cot

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Q: A 4. Find the distance between (-2, 4) and (-2, 10). O 6 O 14 O v6 O 10 2 Type here to search

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Q: Whieh of the following shows an example of the identity property of 0? ○ 흥+ (-꽁) %3D0 4 ○0+(-38) =…

A: identity property of zero

Q: 10. f(x) = (x+ 2)(-3x+ 2) %3D 2. degree is sign is as x +0, f(x) → -> as x -00, f(x) →

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Q: Find x and y (real numbers) so that the equation is true. ​(x^2-2x)+y^2i=8+(2y-1)i

A: Given x2-2x+y2i=8+2y-1i

Q: Find the distance between u = -4 and z = The distance between u and z is (Type an exact answer,…

A: u=u1u2u3=0-42z=z1z2z3=-4-16The Euclidean distance between u andz…

Q: Give an example of a fractal in everyday lif

A: Definition: Fractals are basically complex patterns which are never ending and are formed by self…

Q: 104 -8 -6 -4 -2 2 -2 4 V 8- U 4. Co 4- 2.

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Q: x²-36 che method of Trigonometric Substitution, evaluate x* 4

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Q: dx (x+3)²-25 7.57

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Q: Factor the trigonometric expression completely. 3 sin X+ 16 sin X+5 ... 3 sin? X+16 sin X+5= (3 sin…

A: In this question , we can factor completely the given trigonometry expression .

Q: Using trigonometric substitution to evaluate * ,5x³√9-x² dx 243 243 45 - 15 (1-x²) ³² + C 243 5 ² (1…

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Q: Co -> haX とlKc-d We

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Q: 18 cos x + 15 cos x + 2

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Q: 1- x2 5.)* /

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