A B On the picture below PA= PD, and AB= CD. Prove that PB = PC. P U D

Q: PQRS.TUVW cube has a 10cm rib length, the angle between PV and the PQRS field is θ, the COS value θ…

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Q: A= {4.6,7,93 find A, A, JA, BHEA) Ext(A)

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Q: ? 120° R V 50° T

A: Angle UTV=50° Angle UVR=120°

Q: Type the correct answer in each box. 21 = 3 cis 7 and 5 cis () %3D If z1 x z2 = a + bi then a = and…

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Q: If z'=z then

A: We have to use substitution of z.

Q: O Solve the following equation: z³ = 32 + 32/3i, z e C. Give the answer in polar form (radian).

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Q: A Jes X 40% D B CD=8 Sind Stime AD

A: Step 1:

Q: . Let v = (-5, 1, 3) and w = (3,4, 2). (a) Find the dot product, v•w , and the angle 0 between v and…

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Q: Which of the following angles is coterminal to -4π/3? a. -11π/3 b. -7π/3 c. 8π/3 d. 3π/2…

A: The objective is to find angle that is coterminal to -4π/3 and the terminal side of 18π/2.

Q: dz Find au when u = In 2, v= 1, if z = 10 cot 1x, and x= e" + In v. and dz (Simplify your answer.)…

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Q: Find the value(s) of a making i = 2ai – 3j parallel to u = a? i+3j. %3D a = (If there is more than…

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Q: Suppose V= UW. Show that dim V dim U + dim W.

A: see 2nd step

Q: Evaluate e for z= 2ri. O 1+i Oi

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Q: Prove De Morgan's Law: (AUB) = AN BE

A: To prove the De Morgan's Law, we use the definition of union, intersection and complement of  sets.

Q: Find a · b. a = 9i + j, b= i - 8j + k

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Q: In the diagram below CB = 3/2. Determine AB and AC. B 60 A 300

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Q: Σ 9n n = 1 Identify an-

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Q: Find cot 0. [?]V] A-6, -3/5)

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Q: 240 sin z cos? rdr=

A: here we use the u-substitution method .

Q: In ARST, m S = 90. What is the value of sin T? ST a. RT RS b. ST RS с. RT RT d. RS

A: In the triangle △RST, with m∠S=90°, RS is the perpendicular opposite to ∠T and RT is the hypotenuse.

Q: Find the values of the following. 1. sin(4 + 7j)

A: We have to evaluate sin( 4+7j)  sin(a+bj)=sin a cosh b+j cos a sinh b ⇒sin(4+7j)=sin 4 cosh 7+j cos…

Q: The value of de4z+10 dz, where C is the line segment from z=1 to z = 2i. Oc. O d. (e0-8 -e")

A: The solution is given as

Q: The value of sin( 2 sin- = Select one: a. 4V5 O b. 9 Oc. 2v2 3 24 O d. 25 O e. none

A: