2. Compute each set of roots and provide the results in Cartesian form a) x5 = a = -1

Q: Assume that u - v = 2, ||u|| = 8, and ||v|| = 3. Calculate the value of (9u + v) · (u – 8v). %3D…

A: we multiply the given equation and then put the value of given data. u=8 v=3 u.v =2 note- According…

Q: 13 15 A 14 AABC is a 13-14-15 triangle in which three congruent circles are each tangent to two…

A:

Q: 21) Find the area of a triangle fosmed from the twovectors a = L'+2j-k-.

A: Given, a ⇀=i+2j-kb⇀ =2i-j+4k

Q: Given: B is the midpoint of AC Prove: AB- BC

A: Given that:                       9. B is the mid point of AC.10. AD is the angle bisector of ∠BAC.

Q: find the funotion with hejp of a indegral meau value betw een 4,1] of g(x)=\xl-2

A:

Q: In the figure below, PQ RQ and PS RS. Based only on the given information, which theorem could be…

A: Given: PQ⏜≅RQ⏜PS⏜ ≅RS⏜

Q: (d) Determine all possible points P that lie on the line passing through B and D, so that the area…

A:

Q: The formula in cell B1 is =A$2. auto fill is used by dragging B1's auto fill box across to c1,D1 and…

A: Enter A$2 in cell B1. Then Autofill is used by dragging B1's autofill box across to C1, D1, and E1,…

Q: 1-Show that У +їх ave X + iy =/=1 where Complex numbers ? X+iy and

A:

Q: Prove that the equation ! + = 1 has no solutions in positive integers æ, y, z.

A:

Q: Exercise #6: Show that the perimeter of any of these regular polygons with the distance from the…

A:

Q: (b) In(2x2 + у — 23) %3D х

A:

Q: Suppose n is an integer and z-z =r is a contour traversed once in counter clockwise, then dz = 2 Ti…

A:

Q: Discuss the cosets of { (x, y) | x, y E R, x = y } in (R × R, +).

A: {(x,y) / x,y∈ℝ , x=y} in (ℝ×ℝ,+)

Q: Given: AC bisects ZBCD; C is a midpoint of BD Prove: ABAC ADAC

A: In triangle ABC, AC bisects ∠BCD and C is the midpoint of BD

Q: Find (1+i)10 using DeMoivre's Theorem

A:

Q: Given: B is the midpoint of AC  C is the mid point of BD Prove: AD = 3AB

A: Topic- coordinate geometry

Q: Given: AC bisects ZA and ZC Prove: AABC = AADC в B as

A: We use ASA rule to prove that given triangles are congruent. ASA states that If two angles and the…

Q: In the figure below, PQ RQ and PS RS. Based only on the given information, which theorem could be…

A: in the △QPS &△QSR we know that PQ=RQ and PS=RS

Q: The Cartesian form of 8cis(Tt) is *

A: Use the following formula: cisθ=cosθ+isinθ

Q: Solve the following homogeneous LDE and identify which case it follows (Case 1: distinct roots; Case…

A: Given  4y'' + y' = 8y

Q: Suppose that two nondimensional quantities are exactly A chapter, express the four quantities (A+B),…

A: Given,          A=8.73       3 siginficant figuresB=1.389     4 siginficant figures

Q: 2. Prove this using indirect proof in two-column form. Given: MP 1 NO M Prove: ZNPM is not a…

A:

Q: Find the distance between the two points in simplest radical form. 10 9 8 6 5 4 2 8- 6- or. 6. 10 -6…

A:

Q: Prove that d (sec"x)= 1.

A:

Q: Determine the negion in which the given 0quation is hyfebalic parabolic o8ellipkic, Uyy = %3D

A: determine the region  a) xuxx+uyy=x2 compairing with standard form  we get A=x, B=0 , C=1 now,…

Q: 1. State and prove the full version of the Pythagorean Theorem

A:

Q: Let Polynamial. has infinitely mny Toats, R-ZO7. Show t the (1,0)xin roots, Sol

A:

Q: Which shows heptagon QRSTUVW rotated 225° counterclockwise around point K? R

A:

Q: 3 Which of the following is the bscto_Ba-d equation written in lo %3D ogarithmie form?

A:

Q: Identify the postulate for each drawing. 1. 2. 3.

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 3. In AABC let AB + BC. Prove that the bisector of ZB and the per- pendicular bisector of AC meet in…

A:

Q: -3 [-1+v3i]

A: Explanation of the answer is as follows

Q: Find a value of a in [0°, 90°] that satisfies the given statement. sec a = 1.3165054

A: Simplification

Q: show thet ® Coule+ AX, {) - A Cou(8iY)

A:

Q: The formula in cell B1 is A$2. Autofill is used by dragging B1's autofill box across to C1,D1, and…

A: According to the formula, =A$2, row dimension 2 has been fixed and column dimension is floating.

Q: In APQR, r = 470 inches, q = 470 inches and ZQ=22°. Find all possible values of ZR, to the nearest…

A:

Q: Given: AB BC and D is the midpoint of AC. Prove: BD bisects ZABC.

A: Concept used: SSS congruency: If three corresponding sides of the two triangle ABC and PQR are equal…

Q: Given: MT and HA intersect at B, (MA)(HT) and MT bisects HA Prove: MT = HA Part A: Annotate the…

A: Given : MT and HA intersect at BMA || HT and Mt bisect HAto prove : MT = HAIn ∆MAB and ∆ HBT

Q: A headlight is being constructed in the shape of a paraboloid with depth 3.5 inches and diameter 8…

A: Solution is given below:

Q: In the figure alongside, D is mid-point of BC. If 2CG = AC and BA//DE, prove that 3DF = FG. %3D

A: Consider the given triangle. Given that D is the mid point of BC. Hence, BD=DC. Also, the lines…

Q: 5. Determine any three positive angles that are co-terminal with 150°.

A:

Q: Which theorem can be used to prove that ΔROM ΔΡΜΟ M P.

A: We can answer the question as below

Q: If z=2e(i pi/20), use De Moivre's theorem to compute z5

A: Use demoivre theorem

Q: Recall the pentagonal numbers: 1 12 22 35 Find and prove a closed-form formula for the nth…

A: ANSWER :

Q: Use Superposition approach to find the genral solution of the following equation: у" — 2у' + 3у - -6…

A:

Q: Suppose that B is a point between A and C. Prove that AB−→ =AC−→

A: B is a point on AC. Let, A=(x1,y1) and C=(x3,y3)Then direction vector of AC=(x3 - x1, y3-y1)

Q: Find a bijection between the interval (−1, 1) and R.

A: