page 4. INDICES AND SURDS PAPER 1 J2014 ven that 2**× 4vx gr-y = 1 and 3*+y =, find the value of x and of y.

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

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Q: Applying variation of parameters to the DE: y+y tan x, we get the following system of equations: u c...

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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: 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: Simplify by rationalizing the denominator. 1

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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: Determine whether the number is rational or irrational. 3.789778977789.. Is 3.789778977789... ration...

A: The given number is: 3.789778977789...

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

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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: cos(2æ) Given the differential equation y" + 4y' + 5y = Propose an appropriate particular solution. ...

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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: Find the angle between A = 37 – 23+ 3k and B = 7 – + 5k. %3D %3D 20 A. 0 = sin 3/66 20 В. cos 3/66 -...

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Q: 1.A man is 4 years older than his wife and 5 times as old as his son. When the son was born, the age...

A: According to company rule we can answer only first question and rest can be reposted.

Q: The formula for the Laplace transform of t^ , n! is true for sn+1

A: Option (d) is correct

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

A: follow the procedure given below.

Q: BASIC PROPERTTES OF INTEGRATION IHTEGRATE THE FOllowING: 8. 2 t 22 tz I 32 +3z*+x° 9) + " () वg 3. 3...

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Q: Find the slope of the line passing through the pair of points or state that the slope is undefined. ...

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Q: "dog 1) ]* dx 8. x(1+log²x) 2

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Q: Given the differential equation, d y 3 + 4y = e-2 dy 2-2x cos? 3x – sin? 3x], the proposed da2 dx pa...

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Q: Find L{(t – 1) (2 – 5 sin 3t)}. 2 15 15 + s(s² +9) s2 (s² +9) 5s 30s s2 +9 (82–9)² 2 15 15 s2 (s² –9...

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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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Q: 3 dy 1+a da The differential equation dx? O second order and ordinary O linear and ordinary O non-li...

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Q: BASIC PROPERTTES OF INTTE RATION IHTEGRATE THE FOllowING:

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

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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: A spring has natural length 28 cm. Compare the work (in J) w, done in stretching the spring from 28 ...

A: Given:- A spring has natural length 28 cm. Compare the work (in J) W₁ done in stretching the spring ...

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: Find L{(1 – t) (3 + 2 sin 5t)} . 3 2s 10s - 82+25 (s2 –25)² - 10 20s 을 + - - s2+25 (s² +25)² 3 3 10 ...

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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: Scos* y sin ydy

A: Given problem:- ∫ cos4(y/2)sin(y/2) dy

Q: Classify the number as a member of one of the following sets: the rational numbers, the integers, th...

A: The given number is:

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: Given a differential equation with certain conditions y (to) = or yfk) (to) = Yk = Yk' the largest p...

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Q: Find the exact value of each trigonometric function  16. Sin -225 degrees  18. Sec -360 degrees  ...

A: Given: To find- Sin -225 degrees  Sec -360 degrees  Cos 300 degrees 

Q: dx • A population is modeled by the equation ka (a – a), dt where a and k are positive constants. Wh...

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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: Find f'(a). 2t + 12 f(t) = t + 9 f'(a) =

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Q: The Laplace transform of a constant, k, is valid for O s>k O s>k O s>0 O s<0

A: Laplace transformation of a constant k is  L{k} = k/s It is valid for s &gt;0

Q: A small metal bar, whose initial temperature is 40°C, is dropped into a container of boiling water w...

A: Follow the procedure given below.

Q: (2) A study indicates that spending money on pollution control is effective up to a point but eventu...

A: The percent of pollution removal when x million dollars are spent is given by  as below: a. We need...

Q: Given the differential equation D(D+3) (D+ 1) (D+ 4) y = 0 how many initial conditions are required ...

A: We know that nth order differential equation should have at least n initial conditions in order to g...

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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Q: How large should n be to guarantee that the Simpson's Rule approximation to 19ex2 is accurate to wit...

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Q: x2+6x+8 . f (x) = %3D x²+7x+12

A: Herei s the solution

Q: For the following differential equation, (3D4 – 3D² – 3D + 6) y = 0, how many - arbitrary constants ...

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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, +...

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Q: d y The equation dx4 2 dy 1+ 4y is dx

A: To determine the type of the differential equation, d4ydx4=4yπ21+dydx2.

Q: Find the volume of the solid formed by rotating the region bounded by the curve y = Va and the line ...

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Q: 2dt (t – 3)vt2 – 6t +5

A: