Classify the number as a member of one of the following sets: the rational numbers, the integers, the natural numbers, the irrational numbers. V103 Select all that apply. O A. Rational numbers O B. Irrational numbers Oc. Integers O D. Natural numbers

Q: A. Find the first derivative of the given function/s. 1. у %3D a-w, B. Find the second derivative of...

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

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

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

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Q: x² – 3y + 3 = 0 2y + x + 2 = 0

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

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Q: Find the larger of two numbers if their sum is 190 and the smaller number is 3/7 of the larger numbe...

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Q: Gab’s age on his birthday in 1989 is equal to the sum of the digits of the year 19xy in which he was...

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Q: dy If the differential equation dx is solved via the substitution z = u-, the resulting equation is ...

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Q: Find L{(1- t) (3 + 2 sin 5t)}. 2s 10s - s2+25 (s2–25)? 3 10 10 $(s2+25) s2 (3²+25) 3. 10 20s s7+25 (...

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Q: L{(1+t")e }=

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Q: f(t)-[te-" sin 3(t - t) dr 3 3 (s+2)°(s² +9) (s– 2)°(s² +9) O A.) В.) - 6s (s +2)(s² +9)² - 6s (s – ...

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Q: Perform the indicated operation. 6/27 - 9/75 The answer is (Type an exact answer, using radicals as ...

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Q: 4 y = x4 %3|

A: topic - differential equations

Q: Differentiate each function with respect to x. 34) y = cos -4x* + 3

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Q: 2x?+2х+1 15. f (x) = 5х3 +3х-5

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Q: Simplify. V25 The answer is

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Q: x^2y' + xy = 2 + x^2

A: x^2y' + xy = 2 + x^2 write the final answerin terms of x and C combined equated to y

Q: parts clearly with explanation. Also, please read the question carefully because sometimes my questi...

A: Topic:- calculus

Q: Differentiate each function with respect to x. 1. f(x) = ln (x^4/4x^5-5)^2

A: To differentiate the given function with respect to 'x'.fx=lnx44x5-52

Q: In the food industry, a quantity called decimal time is used instead of half-life. The decimal time ...

A: Half life is given T1/2 = 20 minute, relation between half life and disintegration constant k is giv...

Q: d²y + 4y = 0 and the Given the differential equation dr2 initial conditions y(0) =0 and y'(0) = a, w...

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Q: 9. Which of the following is NOT true about the set 2N = { %3D 2, 4, 6, 8, 10, ...}? * O A.) It is b...

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Q: Find the value of x if 1 3 2 %3D = 10. O 2 Оз O 4

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Q: Show that the function f(x) = |x - 3| is not differentiable at 3. We have x- 3 if x 2 3 f(x) = |x - ...

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

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Q: Compute / 7(t)dt for 7(t) = (t – 2t, 7, cos (2t)) %3D А. 1 sin В. B. G*-t, 7, sin (2t) ) + č С. tA –...

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Q: Find L {(2 – t) (5 cos 3t – 1)}.

A: Given that: L{(2-t)(5cos3t-1)}

Q: The general solution to the differential equation - 2 ()- is dr = 0 is | dt3 dt2 dt O x = C1 + C2e +...

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Q: Find L(y) (1 y" - y = It +1 0 2 y(0) = y'(0) = 0 -2s = 7 + 2 L (y) 1 8 (s² –1) s2 –1 -2s (3s+1) e L ...

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Q: P3.B: At any point of a curve y = f(x), y" = 6x + 4. If the curve passes through the points (1, 0) a...

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Q: 5. Express the given function using unit step function: * [t f (t) = 0st<4 2 , t24 O A.) f (t) = t -...

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Q: xdy ydx = 0; y (1) = 2 %3D Which of the following is a solution to Oy3D+ 1 + In(2) O In(y) = x +2 Oy...

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Q: )1–2و( 24s (s²+1)* If the Laplace Transform of F (t) t³ sin(t) is f (s) = what is the Laplace Transf...

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Q: s2+10s+34 2s+10 If F (t) = L-1{ find F (0) s2+10s+34 O -2 o 1 O-1 o 2 Previous Nez

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Q: Find the derivative of the function using the definition of derivative. f(x) = x + Vx + 9 f'(x) = St...

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Q: 4) Determine the instantaneous rate of change at x = 2 for f(x) = 2x2 + 4x

A: We have to find instantaneous rate of change

Q: L{(1+t")e 3t)= (1+)() n! sn+1 -3 1 n! s-3 sn+1 1 n! s+3 (s+3)"+1 n! 1+ sn+1 )() (2) s+3 (1)

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Q: traluate O T* 2T

A: To evaluate: L∫0tπ4e2πdπ Here, π is a variable. Formulas used: ddxxn=nxn-1∫exdx=exIntegration by par...

Q: 10. Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element o...

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Q: Rational Function Identify the domain and the equations of the holes, vertical asymptote and horizon...

A: We have to find domain

Q: y (sy² –5)dy 4y* –5y² +5 1.

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

Q: Given: x'(t) + 2y(t) = - 1 where, x(0) = y(0) = 0 x(t) - y'(t) = 2t Find : v(s) = L{y} 3 s(s² +2) s(...

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Q: 2s-4 Given: F (t) = L-1 Find: F (0) s2 (s+4) O-3/2 O 3/2 O 1

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Q: The differential equation 2 d y + x dæ3 1(4) - 5y = e is: dx O linear and third-order O non-linear a...

A: Given differential equation is: x3d3ydx3+xdydx2-5y=ex  

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: 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: Find the general solution of the following differential equations (1) y' = x- 2y cot 2x dx (2) = cos...

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Q: The stopping distance of an automoble, on dry, level pavement, traveling at a speed v (In kilometers...

A: Consider the given table, Let, the linear regression model for Rv be, Rv=a+bv By using graphing uti...

Q: Suppose an equation of the tangent line to the curve y = f(x) at the point where a = 4 is y = 8x – 3...

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

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