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Q: Given the differential equation 16y(4) + y(3) – 2y" + y = 0, how many arbitrary constants are expect...

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Q: d'y Given the differential equation, da2 2y e2" sin(2) cos(2x), the proposed dæ particular solution ...

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Q: Find the open interval(s) on which the curve given by the vector-valued function is smooth. (Enter y...

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Q: Find the most general antiderivative of the function g(x) = V#³+ V. Answer: G(x) =

A: Given that:gx=x34+x43To find the antiderivative

Q: The limit below represents the derivative of some function f(r) at some nur 6(2+ h)-96 lim h State t...

A: Given query is to find the the function and the value of a.

Q: 16 Find F(0) if F (t) = L-} O 4 O 2 O 16

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Q: Given the following differential equation: (D² – 9) y = e-4= cos e* Using the method of variation of...

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Q: If f(x) 3. find f'(3).

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Q: Given the equation (cos x + 2 sin x)² dx cos x If you simplify the given equation, the resulting equ...

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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: The functions f and g are defined as ​f(x)=4x−1 and ​g(x)=−2x2.   ​a) Find the domain of​ f, g, f+​...

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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: 2.4 2.5 2.6 2.7 2.8 1248 1571 1977 2489 3132 Estimate h' (2.6) using the table above. h'(2.6)

A: First order central difference algorithm approximate the First order derivative using formula       ...

Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane y + z ...

A: The solution are next step is

Q: Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y y =...

A: Given:    f(x) = 7x(x-2)2

Q: Find the exact length of the curve. 1 y = -x° 4 x² -- In(x), 1<x< 4 | 2

A: Given curve, y=14x2-12lnx   ;  1≤x≤4  

Q: The general solution to (D4 – 4D²) y = 0 is O y = c1 + c2x + c3x?e=2# + C4x³e2 + C4x° e2a -2x O y = ...

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Q: [y = u?-1] 3 Vx2 + 2 u2+1.

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Q: x² – 3y + 3 = 0 2y + x + 2 = 0

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Q: Given the equation sec x tan x S - Vsec2 x – 1 dx

A: Given,            ∫secxtanxsec2x-1dxTo find : Simplify the given equation.

Q: y" -y + 2x t2 where: a (0) = a' (0) = 0 %3D y (0) = y (0) = 0 Find: L (y) L (y) 293 s+2 - OL (y) = 2...

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Q: The rate of accumulation of salt in the tank is equal to: O the product of the concentration and the...

A:   The rate of change of salt in the tank = [rate in] − [rate out].   

Q: A spring is stretched 3 in. when an 8-lb weight is hung on it. The 8-lb weight is attached and pushe...

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Q: Find the equation for the plane through the point Po = (2,2,7) and normal to the vector n= 8i + 3j +...

A: Equation of plane passing through point P(x0,y0,z0) and normal to vector n=ai+bj+ck is given by: a(x...

Q: Find the limit of the following functions through the numerical method by completing their correspon...

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Q: Let f(x) = the following transformation of the graph of f: horizontally scaled by a Vx. Find the equ...

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Q: dy The differential equation dx = y³ (1+ln x) - is O variable separable O Bernoulli's equation O lin...

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Q: If f(x) = 4, find f'(- 11).

A: The given function is:fx=4To find f'-11

Q: ii) Show that lim - 1+22+33 +...+n' "]=1 1/n

A: Apply Cauchy Frist theorem on limit

Q: Sketch a right triangle corresponding to the trigonometric function of the acute angle 0. Use the Py...

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Q: One person in small town with a population of 500 people has been infected with greyscale, a deadly ...

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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: Tasks: 1. Think of more examples of inverse trigonometric expressions. 2. Evaluate cach inverse trig...

A: To consider the inverse trigonometric expression and evaluate it: 

Q: d'y Given the differential equation + y = e-6" sin(x) dx? Propose an appropriate particular solution...

A: follow the procedure given below.

Q: Find L {(2 t" - 3) (t +2)} O 2(2n)! n! -- $2n+1 sn+1 O 2(2n)! s2n+1 n! sn+1 O 2(n²!) n²+1 n! sn+1 O ...

A: To find:- L{(2tn-3) (tn+2) }

Q: Find f'(a). f(x) : Vx + 9 f'(a)

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Q: Given that: lim f(x) = 5 lim f(z) = 8 lim g(x) = 10 lim %3D 25 9(x) = 0

A: Given, limx→5f(x)=5      limx→-5f(x)=8limx→5g(x)=10    limx→-5g(x)=0    

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: The rate of accumulation of salt in the tank is equal to O the product of the concentration and the ...

A: Since you have posted two questions as per our guidelines we are allowed to answer the first questio...

Q: If the Laplace Transform of F (t) = /t3 is 4s 2 what is the Laplace Transform of F (t) = e' Vt3? 4(s...

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Q: x3 -2/2 sxs0, about the x-axis. Find the area of the surface generated by revolving the curve y = 18...

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Q: |(cos? x – sin² x + 1) sin x cos x dx

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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: Given f(x)=1/x find the difference quotient f(x+h)-f(x)/h

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Q: What is the result when you square a binomial?

A: When square a binomial

Q: 7) cos 330°

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: The graph shows how the average age of first marriage of Japanese men varied in the last half of the...

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Q: 1) cos 945° 3) tan 870° 5) sin 90°

A: Topic:- trigonometry 

Q: Find the inverse laplace transform of: F (s) = 2e-3s s(s+1) ° f (t) = (1 – eʻ-3) u (t + 3) ° f (t) =...

A: Given:   F(s) = 2e-3sss+1

Q: The equation of a curve is y = 4Vx+ Vx dy (i) Obtain an expression for dr (ii) A point is moving alo...

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