-54 ) Express the vector i and y -5 as a linear combination of a = 4 y.

Q: Consider the following loan. Complete parts (a)-(c) below. An individual borrowed $90,000 at an APR ...

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Q: Draw a direction field for the differential equation y' = -y(1 – y). Based on the direction field, d...

A: We have ,                                                                           y' = - y (1 - y)...

Q: 1. a. Evaluate 25-2-3

A: An expression ab represents b times the number a is multiplied by itself. Here, a is called as the b...

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: To find- Determine the location and value of the absolute extreme values of f on the given interval,...

Q: r', where i =

A: As per rule, allowed to answer first question and post the remaining in the next submisison.

Q: 5. All are examples of tautologies that are implications except A. (pa q) →p В. p - (pa 9) 9 - (pVq)...

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Q: . Here is a graph of f(x) = e² and a graph of g, which is for the function g.

A: Introduction: For a function f(x), When c is subtracted from x, then f(x-c)is known as horizontal tr...

Q: 5. The population, in millions, of Country C is given by the equation f(t) = 16 • e(0.02t) . The pop...

A: Introduction: The equation that represents the population of a region is a function of time. Suppose...

Q: Let f(u, v) be a differentiable function with f(0, 2) = 0, fu (0, 2) = 2 and f. (0, 2) = -3, g(z, y)...

A: Given fu,v is a differentiable function with f0,2=0, fu0,2=2 and fv0,2=−3. And given gx,y=fx2y+x,3x−...

Q: Ferentiation of the posit (1), and a(t) to any poi

A: From the graph, v(t)=dstdta(t)=dvtdt

Q: 3y(x? - 1)dx + (x? - 8y - 3x)dy = 0 when x = 0 and y = 1 A xy (y - 3) = 4(1 - x²) B y (x² - 4) = 3(1...

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Q: What must be true of the discriminant a

A: Given, the general second-degree equation is                                        Ax2+Bxy+Cy2+Dx+E...

Q: 19. Prove that for each integer a, 3 divides (a + 23a). Hint: sing Theorem 3 0g and tehnia

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Q: (D² + 4D + 5) y = 50x + 13e³x

A: To obtain the general solution of the nonhomogeneous differential equation y''+pxy'+qxy=gx, apply th...

Q: 3) Simplify the expression. State what value(s) of the variable must be excluded from the answer.

A: The function in the form a0xn+a1n-1+···+an is called an algebraic function. The expression in the fo...

Q: Evaluate 30 2 80° 10 2 50° A 20230° B 202130° 32130° D 3230°

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Q: 3. %3D

A: Introduction: There are two types of fractions. One is a proper fraction and another is an improper ...

Q: Define the following sets e and s as follows: e = {Devin, Elsa, Floyd}, s = {Software 1, Software 2,...

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Q: 2\ Find: Tyy (2) Tz 3 Tzz

A: As per our guidelines we need to solve only three subparts. Please repost the remaining subparts as ...

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not ...

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Q: Find the area bounded by the following: 1. Curve y²-8y-8x +32= 0 and y²-8y + 4x = 0

A: We will use basic knowledge of integral calculus and the theory of evaluation of integrals.

Q: Find the LCM:24x and 8x"-16x

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Q: 2. (2 + j)(3 – j2) = a + jb 3. (x – j2y) – (y – jx) = 2 +j b =? x =? y =? a =? | |

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Q: How many roots of the given polynomial? 2 -6 -4 -2 -2 3 -2 1 2.

A: Consider the given figure. Definition of the root:- The roots are the points where the function cro...

Q: Question 4 Obtain the general solution of the differential equation (x2 + у?) dx + (x2- ху) dy 3D 0 ...

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Q: MD and ME are tangent to the circle. Solve for x. 4x- 12 M 2x + 12 E

A: Consider the given figure. We have to find the value of x. Theorem:- If from one external point, two...

Q: Eliminate the arbitrary constants of the equation y = ce-2x + C2e3x (A) у" - 4y' - бу 3D0 в) у"- у -...

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Q: Need prove If R is a UFD and f(x) , g(x) are elements of R[x] , then c(fg) = c(f)c(g)

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Q: The monthly rent for the first house is $1, 190, and the Bainters can expect it to increase 1.7% eve...

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Q: Find the unknowns a, b, c and d in the following equations: = 4 2

A: We will use knowledge of basic linear algebra and arithmetic to answer this question.

Q: Write the differential equation and then determine whether you have overdamped,critically damped,or ...

A: Introduction: The differential equation of motion of an unforced damped harmonic oscillation is md2x...

Q: (a) V (b

A: Let b represent the number of books , The cost of each book is $4 therefore total cost of b books is...

Q: Determine the general solution of xdy + ydx = 0. (A xy = c^x B) y =c (c) x = c D) xy = c

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Q: Solve the following: 1. (x-2iy)-(y-ix)=2+i, x=?; y=? Express in Polar Form: 1. 3+i4 2. -3+i4

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Q: The integral of the given function | cos 2x cos(-x)dx is equal sin 3x + 3 sinx А. + C 6 sin 3x – 3 s...

A: Introduction: The indefinite integral is the way to find the function that on differentiation, produ...

Q: shows its three angle bisectors intersecting at point C, the incenter. Find the CF%=D6. Find CD

A: In this question, the concept of Incentre is applied. Incentre The incenter of a triangle is the poi...

Q: Obtain the general solution of the differential equation (x2 + y") dx + (x2 - xy) dy = 0 (x+y^2 = cx...

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Q: 10. This problem shows how a surge can be modeled with a difference of exponential decay functions. ...

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Q: Prove that the smallest member of a set, if exits, is the greatest lower bound of the set.

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Q: Solution of dy/dx + 2xy = y is A. y = ce" B y=ce**-x y = ce y=ce-

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Q: Argue about nature of mathematics, what is it, how it is expressed, represented and used

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Q: 16. There is a very quick way to compute £-, 2'(-1)ª-' (); do use it. l=D0

A: Introduction: The binomial theorem is very important in mathematics. For any real numbers a,b with p...

Q: Simplify the following expressions: 2 In vē In(e-x²-y²) In(In e*)

A: If y=ax, then logay=x, where a is called the base of the Logarithm. The Logarithm with base e is cal...

Q: Old McDonald has a farm with 30 chickens. The chickens comprise 60% of his farm, and the rest of his...

A: This is a problem of discrete math.

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 perimete...

Q: 5. Set up and solve a linear Diophantine equation to find every combination of 24 coins consisting o...

A: This is a problem of Number tHeory, discrete math.

Q: e slope

A: Introduction: The formula for the slope of the line passing from two points x1,y1 and (x2,y2) is giv...

Q: 2. The costs of identical packs of sugar sold in different retail stores P18.50 P18.00 P20.25 P17.50...

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Q: 1. There are eight different ice-cream flavors in the ice-cream shop. (a) In how many ways can we ch...

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Q: Find the coefficient of the

A: Given,           (3-2x2)12