Gab’s age on his birthday in 1989 is equal to the sum of the digits of the year 19xy in which he was born. If x and y satisfies the equation x – y – 6 = 0, find the age of Gab in 1990

Q: 15) Consider the following equations of quadric surfaces: a) x = + - 4 b) x? - y? + z? = 4 i) Identi...

A: We need to find surface type and intercepts.

Q: 14) Determine the distance between the parallel planes: 6z = 4y - 2x; and 9z = 1- 3x + 6y.

A: Given problem:- Determine the distance between the parallel planes: 6z = 4y - 2x and 9z = 1 - 3x + 6...

Q: (b) Find equations of the tangent lines at the points (1, 11) and (2, 12). y(x) = (at the point (1, ...

A: Part a,             y=8+5x2-2x3 and x=a

Q: Applying variation of parameters to the DE: y" - y = e +e ,we get the following system of equations:...

A:

Q: Let f be defined by the following. S2x-3 f(x) = 6 - x if x < 3 if x 2 3 (a) Is f continuous at x = 3...

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Q: d*y The equation da4 4y 1+ ( is 72 dx O linear and ordinary O linear and partial O nonlinear and ord...

A: Here we have to find the type of given differential equation.

Q: y" + 2y' + y = te-t (s² + 2s + 1) y(s) 1 1)y(s) = (s² 1 + 2s + 1) y(s) = (s + 1)? (s + 1)* A.) В.) 1...

A:

Q: evaluate

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Q: x -y element of the set of paritive real numbers, then If is an x >y c, x² >yZ 9. d. All of the abov...

A: Here we will find the correct option,  

Q: A 300-gallon capacity tank is originally filled halfway with a brine solution that contains 2 Ibs of...

A: Given:   Data is given

Q: Which of the following is an example of an infinite set which is bounded and countable? A.) The set...

A: Topic  =Algebra   B) [ 2, 20 ] is an example of an infinite set which is bounded and countable.

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A:

Q: true ? following which of the is 9. In finite rey union finite set is finite set. of 6. The union of...

A: (b). If A and B are disjoint denumerable sets,then A∪B is also denumerable.

Q: solve the differential equation: y' + (4/x)y = x^4

A:

Q: Find the area bounded by the curve y (x- 2)(x + 1)(2x – 1) and x-axis.

A: We use integration to find the area.

Q: After applying variation of parameters to y "-2y +y = the following equations are (1+2?)" obtained q...

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Q: Find the binormal vector for 7(t) = (3t, sint, cos t) А. ВО cost, sint V10 10 1 B(e) = (- 3 В. ВО) c...

A:

Q: 4) Find the slope of the curve y = 3x + 1 at point P (1,2)

A: We need to find slope of curve at given point.

Q: Express the following differential equation in terms of a differential operator: dy 4- da2 dy + 4- -...

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Q: Given the differential equation: y" + 3y'- 4y - Propose an appropriate particular solution O Up = (A...

A:

Q: . Thrice the sum of two numbers is 30 and the sum of their squares is 52. Find the product of the nu...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find the domain of the vector function 7(t) = (, V1-t, 1 1 – t, t t +1 A. (-0, –1) U (-1,1) В. (1, +...

A:

Q: P2.B: Evaluate the integral: (x+1)/2 J (x – 1)5/2

A: The given integral is (x+1)1/2 /(x-1)5/2.

Q: Determine the principal value of argument of the (1+i)20

A: The given argument is: (1+i)20

Q: P2.C: The integral below may be written in the form A cot x + Bx + C. Calculate (A + B)2. 7- 6 sin? ...

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Q: BASIC PROPERTTES OF INTTE RATION IHTEGRATE THE FOllowING:

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Q: 9) Find a parameterization of the line formed by the intersection of the following planes: P,: 2x - ...

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Q: A. HOMOGENEOUS EQUATIONS Find the general solution of the following differential equations (1) y' – ...

A: According to bartleby guideliness we can answer only the first three subparts of a question. Kindly ...

Q: Given the following graph, what is the corresponding function (t 0)? 1 1 O y =t – tu (t – 1) + 2 u (...

A:

Q: 20-sin 20 Find the maximum value of the function 02

A:

Q: dy Given the differential equation dr2 + y = e=5# sin(x) Propose an appropriate particular solution.

A: Option A

Q: dy For dx Vy + 2x – 5 2. the substitution m = y+ 2x converts it to which of the following separable ...

A:

Q: Find the exact length of the curve. 4 1 X = 1<y< 3 + 8 4y2"

A: we will find the exact length of the curve.

Q: 14 70 and * >0, then x >4(0). which theorem supports this statement If a >6 and c> o, then c9 > c6. ...

A: Let a,b,c ∈ R , where R is set of positive real numbers. It is given a&gt;b and c&gt;0, it can be wr...

Q: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x – 8x² f'(x) = ...

A: Given, f(x)=3+6x-8x2 Domain of f(x)=(-∞,∞)

Q: Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element of th...

A:

Q: 1. A through of length L has a cross section in the shape of a semicircle with radius r. When filled...

A: Given: A semi-circular through ,filled with water.  V=L[0.5πr2-r2arcsin(hr)-h(r2-h2)12]L=10ft , r=1 ...

Q: x*dx + y C x-) dy =0

A:

Q: How much work W is done in pulling the rope to the top of the building? Show how to approximate the ...

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Q: of the form {((-1) Cnt1)) (nul) / (nt!)} where Let be the set of humbers A is </ement of the wet of ...

A: Given that S is the set of numbers of the form -1(n+1)(n-1)(n+1), where n is an element of the set o...

Q: (3x² + y²)dx + 2xydy = 0

A:

Q: Suppose a metal ball is heated in an oven at 195 ° C for a very long time. After, it was removed and...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: If y " +2y + 2y = 3t2. y (0) = 0, y (0) = 2, what is the Laplace transform of y? 2s 6 s2 +2s+2 33 (s...

A:

Q: 4 y = x4 %3|

A: topic - differential equations

Q: What is the appropriate integrating factor to the ff. linear differential equation? dy + (1+ xcotx) ...

A:

Q: A stream containing 80 grams per liter of a dye is pumped into a mixing tank with 400 liters of fres...

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

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Q: Determine the length of the curve 7(t) = (3t, sin t, cos t) on the interval 0 < t < 2n. %3D А. L = 2...

A: As we know that, The expression for the length of the vector-valued curve is: L=∫abx't2+y't2+z't2dt ...

Q: x2+6x+8 14. f (x) = x2+7x+12

A: Find the asymptotes of the given functions. 14. fx=x2+6x+8x2+7x+12  

Q: If F (t) = L-{a10 find F (7) 2s+10 82+10s+34 2e3 2e5m -2e-5m -2e-3T

A: