3. Which of the following equations is (are) true? 1 I. | 254 = Arctan (5) + x² 25 O I only O II only O Both I and II O None of them < Previous II. 1. √√4-2=-Arccos 812 +C Next ▸

Q: WORKSHEET 3: Multiply and simplify. (√3 + 1) ( √3 – 1) (4-√7)(4+√7) 20 3- (√27-2)(√27+2) |

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Q: (8 + 5i) – (2 + 3i)

A: Given : (8+5i) - (2+3i) To simplify the given expression. Here we  will use-…

Q: (b) Show that i³i is real, even though i or 3i is not.

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Q: Differentiate implicitly 14. 4√x – 8√y = 6y²

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Q: Co xdx (x² + 3)²" -2

A: We can find the answer as below

Q: If (x + yiX3 - 2i)= 16 - 2i, find the value of x

A: To find the value of x  we compare  both side's value of real parts

Q: Multiply the following. (5x° + 8y) (5x³ - 8y) (5x3 + 8y) (5x3 - 8y) = (Simplify your answer.)

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Q: + 5j and b = 7i - 33. Find: %3D 2. a- 2- 4. 53 56 6. 2a + 3b 8. a + ñ|

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Q: d – 2g f – 2i 3c -а + 4g -b+ 4h -с+ 4il е — 2h 3b a b с Let |4| = |d e f = 2 and B = За g hi

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Q: Evaluate āxb where ā = 3î – 5} and 5 = 2î + 3}

A: unit vector cross product:i^ x j^ = k^                           j^ x i^ = -k^j^ x k^ = i^…

Q: Evaluate √2 4 √1-x² dx.

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Q: 3+4i Given that =5 find

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Q: Solve for x. Give an exact answer: an integer, a fraction, or a decimal that terminates (i.e. 3/8 =…

A: Given query is to find the value of x.

Q: In the diagram, AB AC. Solve for x. A. B. 55 C.

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Q: Find d dx (45x+6)

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Q: 8. Evaluate: fdx a. x + x+In+C b. In(x²-1) + C C. x + tan ¹x + C d. 1+In+C x-1

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Q: Factor each expression completely. (a) 3x2 – 13x + 4 | (b) 3 cos2 0 – 13 cos 0 + 4

A: (a) part  Consider the given expression  3 x2-13 x+4 Then, 3 x2-13 x+4=3 x2-x-12 x+4=3 x2-x-12…

Q: Let z = 1+ i, simplify and write final result as x + iy.

A: The given data is: z=-1+i To simplify z5z¯8 and write the final result as x+iy.

Q: Show that the equation is an identity.

A: We have the given equation as 3x-42x+1+5x=6x2-4

Q: 18. Express the following in simplest form: (3+ 4i)?(3 – 4i)²

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Q: Solve for x. If there is no solution, enter DNE. − 52+90 x² + 3x 54 x x + 9 + X 4 - 6 =

A: Solution is given below:

Q: Show that the equation is an identity.

A: Given a equation, 4x-32-16x2=9-24x To show whether equation is identity.

Q: Which value(s) of x satisfies the equation Vx? -4x –5 = 2x – 10 {3, 5, 7} {5} {5, 7} O {7}

A: Given an equation x2-4x-5=2x-10 To find the values of x that satisfy the equation

Q: V25 + 2 o V7 - 2 Which of the expressions is rational? o V64 + V45

A: we will go option by option  rational number is a number which can be expressed in form of p/q where…

Q: Evaluate. [cos³ z sin x sin³ x dx

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Q: x Q3: Show that csch-¹ (²7) = coth-¹(x+¹) x-1,

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Q: Express ½ (1 -  √ 3i). ANS: cis 3000

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