then -u is a unit in R.

Q: |u| ≤a is equivalent to __________ .

A: Given |u| ≤a is equivalent to __________ .

Q: ?, R(A)IN(A*)

A:

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: o From where to where is the red bird in the air?

A: Bird is in the air, means the bird has been flying. From above given diagram, the bird has been…

Q: Let a = ci + jand b = 2i + 10j. Find c so that a and b are orthogona C = i

A: Given: a=ci+j b=2i+10j.

Q: Use the Pythagorean Theorem to find h. Useh to find the area. 10 13 h = Area = %3D 15 6.

A:

Q: If I, = [x^tan"x dx, Prove that (n+1), + (n-1),,2 ° п 1 %3D 2 n

A:

Q: Let X=R. and M = ®, then span (0) = o (0} OR

A: {0} is the correct answer.

Q: Let X - N(u,0) so that P(X < 89) = 0.9 and P(X < 94) = 0.95. Find u and o? %3D

A: Given : Normal distribution with mean μ and standard deviation σ   We have been provided with 90th…

Q: Find the value of c such that enc = 7 c= In

A:

Q: Then area of R can be evaluated by using:

A: Given the region R shaded in green

Q: e since), yo)=0, yco) = | %3D

A:

Q: e. 2' + In(2 + i)

A:

Q: (b) In(2x2 + у — 23) %3D х

A:

Q: Which of the following pieces GT = IR GI || TR

A: Choose the correct option:

Q: Given: E is the midpoint of CD; ZC = ZD Which of the statements must be true? O AC = BD O ZB 2 ZC…

A: given,

Q: Find proj, u and scal, u by inspection without using formulas. proj, u = OD

A: Vector and scalar projection

Q: F. Find Ker() and o(25) for o: Z → Z, such that o(1) = 4. %3D

A:

Q: Evaluate SIL. dydzdke, where E = {(x,y,z): (2+z12<x< 2, - (4 - z)2sy <(4 -2)12, 3<z 58}.

A: Given: The given integral is ∫∫∫Rdydzdx The given intervals are (y2+x2)12≤x≤2, -(4-z2)12≤y≤(4-z2)12,…

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: 1s Rewrite the nale as a (x)

A:

Q: Which of these formula will dtan1 u equal to? du 1+u? а. du V1-u2 Ob. du V1-u?

A:

Q: Fiven: LM NO; ZLMO = ZNOM Prove: LO = NM Reasons

A: Given that: LM=NO, ∠LMO=∠NOM

Q: The value of Az or h in Simpson's Rule is ○ (b-a) Oba TI ba 3n 2n D

A:

Q: Which theorem can you use to prove that GHJ and GKJ are congruent? 8 G J K O A. ASA B. SAS C. SSS D.…

A: The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the…

Q: 4. Evaluate where C is a simple clos upper are of the unit cir

A: Greens theorem is used

Q: Let D be the unit disc x2+y2≤16. Evaluate  ∬Dex2+y2dA=

A: The disk is x2+y2≤16. We have to evaluate the integral ∫∫Dx2+y2dA.

Q: Find all values of z such that cosz = 4.

A: We find all values of z such that cos(z)=4

Q: . Given: LM NO; ZLMO= LNOM Prove: LO NM Reasons

A:

Q: Suppose n is an integer and z-z=r is a contour traversed once in counter clockwise , then P(z-z)" dz…

A:

Q: C. In the picture, prove that a(a+b)=c(c+d). a

A: Given : To prove : aa+b=cc+d

Q: Let D be the unit disc x^2+y^2≤25. Evaluate  ∬Dex^2+y^2dA=

A:

Q: 1 Evaluate : dz where C is the cirlce z-2 =1.5. - z- 1 8 Tu 4 Ti -8 Ti

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1, In…

Q: eces. To form a le, so that the a

A: It is given that, a wire of length 20 feet is cut in to 2 pieces. X+Y=20 Here, X=2πr is the…

Q: T is self - adjoint then (Tx, y) is complex O normal O real O prime o

A: T is self adjoint

Q: Use the diagram shown. В C 主 G 丰 Which is a needed step to prove that AABF EAEDG

A:

Q: k and Ĉ = к апd rs along the a ICorteeion

A:

Q: If h(t) = t" where n is a natural number, then what is h'(t)? %3D

A:

Q: In (R,T sorg), if A = (- 0,1]U[2,), then Int(A)= Оа. А O a. b. O b. A-{2} Ос. А-{1} O d. A-{1,2} e.…

A:

Q: What is the value of w,(r, 0) at r= 1/2, 0 = 1/2 in Question 7? 1+ 2 et 4 4

A: We have to solve the problem

Q: The volume of an isometric drawing can be found by counting the number of blocks in the drawing. O…

A: Given: isometric drawing in geometry

Q: Which similarity theorem shows that APQR is similar to ATSR? 18 A 12 24 SSA O AA SAS ASA

A:

Q: Suppose we apply the formula, Sudv = uv – J vdu to ſ xe*du. Explain why the substitution below are…

A: Consider the given integral. I=∫xexdx The method of integration is defined as by ILATE to consider…

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

A: Use demoivre theorem

Q: J Prove (An B)' = A' U B'.

A:

Q: The value of A™ or h in Simpson's Rule is b-a O (b-a) n b-a

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.