3. Let a be any positive real number. Solve the following equation for k. Show all work to justify your answer. ke-az 1- e-a dz = 1

Q: Let p and q be the two roots of the equation mx? +x(2-m)+3=0. 2 Let m,, m, be the values of m…

A: Given mx2+x2-m+3=0        ...(i)

Q: Perform the necessary operations indicated below, given the following: [3 1 51 A = 2 7 8 [6 9 3] [1…

A: Two matrices A and B are given. We want to prove that (A+B)2=A2+AB+BA+B2

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A: Since you have posted multiple questions. I am answering the first one. Please post the question…

Q: H.W- Solve the following PDES Op-q=1 CP+9) www

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Q: If one root of the equation ax +bx + c = 0 is equal to the nth power 1/n+1 1/n+1 of the other root,…

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Q: 11. Solve the value of x in the given figure. С.4 А. 8 В. 6 D. 10 10 Tf m A ло then wzhot is the m…

A: according to our guidelines we can answer first question and rest can be reposted.  We know the…

Q: ve a formula for g(x), but we know that g(2) = -4 and g'(x) = vx² + 5 for

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Q: m = 2±i, 2±i

A: If the roots of auxiliary equation are two pairs of equal imaginary roots , i.e. of the form a±ib,…

Q: Amber solved for m and found it to be equal to 36. If she is correct, clarify what postulate or…

A: Amber solved for m and found it to be equal to 36. If she is correct, then to clarify what postulate…

Q: Solve the following equation for x. 7- Inx= 0 X = (Type an exact answer.)

A: We can make it easier for you

Q: Solve the following formula for the specified variable. Q= 3tb for b b% D (Type an exact answer,…

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Q: dt 5-e 2

A: Let I=∫dt5-e-2tdt. First, simplify the integral. I=∫dt5-e-2t=∫dt51-e-2t5   taking 5 as a…

Q: B. Give the general solution to the HLDE with the given set of auxiliary roots 3. m = -3, -2±i, l±2i

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Q: Solve the following equation algebraically. Round to 2 decimal places. Show all work. Sex + 2-8 = 14

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Q: 12. A student was asked to solve the following equation: Her work is shown below: 5 In x + In 3 = 9…

A: We must know the following properties of a logarithmic function- b ln a= ln ab ln a + ln b= ln(ab)…

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Q: 12. For what values of k, will the equation 3x? +4x + k = 0 have two equal roots?

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Q: (e) '+3 +5' + .+(2n – 1)' = n²(2n² – 1). [Hint: Separate the left-hand side of the identity

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Q: .. Solve the following equation for r. In(a? – 16) + In(x + 4) = In(2x +3) %3D

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Q: . If g (t) = d, where d is a Real number, show that every solution approaches as t → 0 .

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Q: = Solve the following PED: д и ди дı дх² = if u (x, 0) = 2x when 05x52

A: Given PDE is ∂u∂t=∂2u∂x2                    (1) also given that at u(x,0)=2x when 0≤x≤l2 By variable…

Q: The equation used to find the approximated values for x;: O None O x1= 1/2+1/2 x2 O x1= 1/2+ 1/3 x2…

A: Given set of equation,x1+2x2=2 →12x1-x2=1 →2

Q: Q1: Solve the following PED: ди ди = д1 ?х2 15x5/1/201 if u (x, 0) = 2x when 05x5

A: Solution 1: Given PDE is ∂u∂t=∂2u∂t2                   (1) u(x,0)=2x,   0≤x≤l2 By variable separable…

Q: 1. у" — бх+3

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Q: Find y ay ax Y = (x²+1) • In (x² + 1) if

A: We know that derivatives power rule is  d(xn)/dx = nxn-1. And also know that: d(lnx)/dx = 1/x.…

Q: Solve the following ég stam of equations by using invese maHrices Not POSSIBLE and conclusion, , IpO…

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Q: Solve the following and show your solution. A. In AABC, DE || BC. 1. Given that DB - 3, AE = 2 and…

A:

Q: Given m n, find the value of x. (7x+9)° (9x+5)° COMMMA Submit Answer Answer: attempt 1 out of…

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Q: Which statement is true about the equation r(x) = 9 (x) given r(x) = 2x + 3 and 9(x) = x²? O A. It…

A: Here the given functions are                                        f(x)=2x+3…

Q: 2. Solve the following first order IVP. You need to show the final answer in the explicit form y =…

A: Given IVP is  y'+x(y2+y), y(2) = 1   We have to find the solution of this given IVP.

Q: 1. (t+ 1) 2. 2sin3t +5cos 3t 3. (e" -e") 4. (Vf + 1)(2- VE)/JE 5. 8 sin' 3t

A: Since you have asked a question with multiple subparts, we will solve the first three subparts for…

Q: Select all the solutions to the equation In(a") = Im(24 – 2x) A e -9- - E Co

A: We have to find value of x

Q: Let X be a xỉo. Calculate a+o², so that P(X <a)=0.25. Provide a numerical answer only, no need for…

A: We have given that  χ210 Find a+σ2 P(x&lt;a)=0.25

Q: 43 29 to Solve for x and round to the nearest tenth. Show ALL work necessary in the box provided…

A:

Q: Given that P(z-M)-0 wherei(1LO(1-20andP and Q are real constants. Write down in a form a+bi and find…

A:

Q: Solve for 0 if 2cos 0 – 3 = -3 and 0 < 0 < 2n. Select the correct answer below: 31 and 0 = 0 Зл = A…

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Q: Solve the formula for the indicated variable. 1 1 1 for p (optics) C'

A: Given : 1p+1h = 1c

Q: Solve the following formula for the indicàted varlable. P = 4s; solve for s %3D Answer %3=

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Q: 12. Solve the following formula for the specified variable. S= 27q for q q = (Type an exact answer,…

A:

Q: Solve the following formula for the specified variable. W= 4xc for c Cype an exact answer, uUsing a…

A: Here, the given formula is: W=4πc To solve this for c.

Q: I. Solve the following to Notation z = x + iy 1. In(-7) 2. z = i Z1 3. For Z, = 8+ 3i ; Z2 = 9 – 2i…

A:

Q: For numbers 15-24, consider the following. The joint pmf of X and Y are given in the table below: Y…

A: Introduction:  Correlation:  The correlation coefficient is given by, ρ=Cov(X,Y)σxσy Where, Cov(X,Y)…

Q: 11. Solve for ð in terms of P, L, A, and E when given the following three equations: P O =2, and o=…

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Q: Solve the following using the method of solving Bernoulli Equations. *+ tx* += 0 3.

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Q: Solve the following formula for us. (Note that the subscript of z is a zero.) S-Hs Os !3! Hs=

A: Given equation :z0=s-μsσscross multiplyz0*σs=s-μsμs=s-z0*σs

Q: 15. Show that the equation, ³ + e* = 0 has exactly one real root.

A: we have x3+ex =0to check number of roots we can draw graph of both and check number of intersection

Q: Solve the following formula for the indicàted variable. V = lwh; solve for w. Answer W = O 2021…

A: Given data :-           V= lwh

Q: 13 a Solve for all three unknowns. Only enter the answer for x here. Round to the nearest tenth.

A:

Q: Which of these is a possible solution for cscx+ - = 0 in the interval x e [0,21]? 3 O b); X = 3 Od.

A: We know cosec (x) = 1/sin(x)

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.