b) 1 -dr+ 1 -dr = In a, V9+ 4x? Given that find the exact value of a. V16+9x? AD (7

Q: 11. If QM = 6x - 11 and MR = 2x + 9, find MN. %3D

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Use Cramer's rule to fins a solution: 3x-2y=4 6x-4y=0

A: Cramer’s rule:

Q: 17. If mzp = 6x + 12 and mzg = 7x - 1, find the value of x so that p is perpendicular co 18. If mz1…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: For which values of a and m does ax = 1 have a solution in Zm?

A: Claim:

Q: Use the tabular method to to prove the following in general 1. (ANB) C (AUB) 2. ΑΔΒ = ΒΔΑ.

A:

Q: 4.1c. Show that the product of two integers that can be represented by x2 +dy?, is always another…

A: Prove that the product of two integers of the form x2+dy2 is always of the form x2+dy2. Consider two…

Q: Consider a, = V4n² + 3n – 2n for n > 1. %3D -

A: Introduction: The sequence is a set of functions with the set of natural numbers as the domain of…

Q: If y = exp(-x²) show that -2xy and hence prove that, for n > 1, %3D y(n+1) + 2xy(") + 2ny("-1) = 0.…

A:

Q: Solve this egeua tion using differenbicel eque bio us ikx -ik X 4 Cx) s AĈ + 13e

A:

Q: (b) Show by direct computation that D'Alembert's formula is a solution to the problem U-cUrx 0,…

A:

Q: Vhich among thế chôičes satist etters only. 2а. у" - Зу'- 10у %3D0 Co-5x C o2x

A:

Q: Which of the following is NOT true about the DE: 6xr?ydx+2x³dy=0?

A:

Q: 1. y = In(x? – 7x) 2. y = x³ In(x? + 3) 3. y = In(x? – 1)³/4x + 2 4. y = In v4 – 3x -

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: у" + Зу" + Зу' +у%3D0

A: We have to solve the differential equations

Q: Use the equations aF OF az ax az ay and ax OF ду OF az az az az and ax to find ду 5yz + 8x In(y) = =…

A: F=5yz+8xln(y)-z2∂F∂x=8ln(y), ∂F∂y=5z+8xy, ∂F∂z=5y-2z∂z∂x=8ln(y)5y-2z, ∂z∂y=5z+8xy5y-2z=5yz+8x5y2-2zy

Q: b) By using De Moivre theorem, calculate in the form of a + bi: 4. i) (VZ – iv2)* | ii) (1– i)6

A: Given (2-i2)4 &   (1-i)6

Q: Given that 32a × 11º = 274x × 332× express a in terms of x?

A: Find your answer below

Q: In AFGH, m F = (5x 6)°, mZG = (3x + 16)°, and mZH = (x + 8)°. Find mZH.

A: given , In∆FGH ,  m∠F=5x-6°  ,   m∠G=3x+16°  and m∠H=x+8°we have to find m∠H

Q: 2. Find p and q such that |5x - 2| ≤4 implies Ps 23x-4 5 ≤q.

A: Given |5x-2|≤4

Q: 1 1 dr = In a. find the exact value of a. %3D V16+9x? 19+4x*

A: Here we will solve for 'a' step by step answer given below,

Q: 2. The exact value of sec 57 is O2 2V3 -2 2V3 3

A:

Q: The equatich AX =0 has the Solution if and aly if variable. nontrivia I A has à free

A: To find whether the given statement is true of false. Given Statement is  The equation AX=0 has the…

Q: Use z = a + bị to show that z + 7 = 2a and z - 7 = 2bi.

A: Given: z=a+ib

Q: A projectile is fired vertically upward and has a position given by s(t) = - 16t + 288t + 304 for…

A: s(t)=-16t2+288t+304 for  0≤t≤19

Q: The approximation to a root of the equation x^2+x-1=0 in the interval [0,1] b applying the regula…

A: The given equation is x2+x-1=0  find the value of f(0) and f(1)  fx=x2+x-1f0=02+0-1=-1…

Q: For what value(s) of tt does the equality ⟨t3−6t,0.333333t2+3⟩=⟨0,5⟩⟨t3−6t,0.333333t2+3⟩=⟨0,5⟩ hold…

A:

Q: 6. Show that (1) Cou(B1, g) = 0 (2) Cov(3o, B1) %3D

A:

Q: Start with [ao, bo] and use the false position method to compute Co.C1,C2 and c3. Use

A:

Q: Enter the exact answer. dy = V9 - 8y

A: To solve an integral using substitution method  Firstly take the substitution and determine the…

Q: 2 Xi. にく prove thate 2.

A: Given that  We have to prove the given expression:

Q: Solve the followig 13. BauSsian or Eduss Jordan Using E lemination. 5x, +6x=7X 3D0 3. ース×,+ 3X7…

A: Answer

Q: show that the Pio Diophant ine equation 2x -5y= | has no integer Selutions .

A: Given, 2x²=1+5y² Here 5y2 is a multiple of 5 ending in digit 5 or 0. 2x2 can end in 1 or 6 But no…

Q: show that x'-15x +C= O has at most root on E2,2] one

A:

Q: sec²(3vt) dt (4) VE

A: According to the bartleby guidelines I have to solve only first question in order to get the…

Q: 1. Is the following always true? If yes, clearly explain why. If no, give a specific counterexample…

A: Note: AS per our guideline we are supposed to answer only one question. Kindly repost the other…

Q: The formula in cell C2 is = A$2. Auto fill is used by dragging C2's auto fill box across to D2, E2,…

A:

Q: In(z,) + In(-v3 – 1) = In(2) +i %3D

A: Answer

Q: Given that -ax- Y(x): exp %3D 2 a) Calculate for n even

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: 10. f(x) =-x2 +3x+ m, y 4-IOBI = 10CI %3D A(ABC) = ? B.

A: As per guidelines, we will solve first question poste. 10) Given fx=-x2+3x+m 4OB=OC

Q: . If 4=(x+2y+az, bx-3y-z,4x+cy+22) is irrotational. Find constant a,b,

A: Follow the procedure given below.

Q: For which values of a and m does ax = 1 have a solutionin Z m?

A: To find for which values of a and m does ax=1 have a solution in Zm. Zm=0,1,2,....,m-1 when a=0,…

Q: (x – 2)² – In x = 0, [1,2]

A: Follow the python script.

Q: 9. If VW = 9x- 11 and SU 16x - 12, find WT. S. 人

A: We are solving the first question and for the next question post the questioon again and alsomention…

Q: 11T |13T V2 - V6, determine the value of sec 60. Given that sec 12 %3D 12

A:

Q: B a. In the figure, if AX = (3x + 1) cm, BX = 4x - 1 cm, AY = 4x + cm, YC= 5x-1 cm and x = 2, prove…

A: SOLUTION-

Q: 2. Use a theorem to find the ff. Zx if yz? + z = 5xy – 1.

A: Find out the zx when function is given as yz2+z=5xy-1 or yz2+z-5xy+1=0

Q: (5x – 8)°, In ANOP, mZN mZO = (x – 5)°, and mZP = (6x + 1)°. Find m2O. -

A:

Q: Use cubic interpolation method with two points to find uz , where a = 0. 6, h 0.1, ɛ = 0.001 and O'…

A: Cubic interpolation method gives the following formula for evaluation, For, μ2=a(∅')-h1+∈ Therefore,…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.