dy A possible solution to the differential equation t dt (2) + 2y = 4t + 1 would be: y = # + 4t 1 3 2 y = 2t² +t +t=1 °y = ? +1+t 2 y = 4t + t

Q: et "(t + 6) =

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Q: 2. Find the general solution of the first-order equation dy _ y² – 2ry dr

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Q: 2. If P(0) is a point on the unit circle and 0 (0)? , what is the coordinate of P

A: Given query is to find the coordinates of p.

Q: 11) Find the equation of the plane that passes through the point (1, 5, 1) and is perpendicular to t...

A: A plane is passing through a point (1,5,1) and is perpendicular to the planes 2x + y - 2z = 2 and x+...

Q: Find the solution of the following initial-value problem d²y, dy + 4y = e, y(0) = 1, dr (0) = 2 %3D ...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliar...

Q: onsider the objective shown in Figure below. Calculate a- The length from point (3,3,0), (3,6,0), (0...

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Q: Construct an appropriate triangle to find the missing values. (0° s05 90°,0s@s/2) Function e (deg) e...

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Q: 3 5.) y = ; x+5

A: Given:- y = 3/(x+5) y = 3(x+5)-1 Using Formula : [f(x)g(x)]' = f(x)g(x)' + g(x)f(x)' Now, y' = 3[-1(...

Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t?k, u(t) = 5ti + t³j ...

A: Given: - The function is, r(t)=ti+5tj+t2ku(t)=5ti+t2j+t3k To find: - The derivative of (2t)u(t),

Q: Construct an appropriate triangle to find the missing values. (0° ses 90°, 0seS n/2) Function 0 (deg...

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Q: Define a sequence {an} as follows: Let a, = 1, and define (an)² + (2n + 3)a,n + (4n + 3) An+1 аn + 2...

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Q: Evaluate the integral 1 dx x4 – x2 Note: Use an upper-case "C" for the constant of integration.

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Q: Find the equations of the tangent lines to the graph of the equation below that are parallel to the ...

A: Given functionf(x)=x+1x-1Line parallel  to tangent of f(x) is 2y+x=6Here slope of the line 2y+x=6 is...

Q: (5an 20 elan 20 sec²2 Bd ß 1. e?x +2e* dx e* +1 2.

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Q: III. Given: ,X(0)= 0 ,0st< 4] X'-2X = G(t) where : ,124 Solve for X(t) IV. Given: X'(t) + 2 Y(t) = -...

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Q: 5) Find the average value of f(x) = x on the interval [1, 8].

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Q: )) find the volume of the solid obtained by rotating about the X-axis the region bounded by the curv...

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Q: number of Android smartphone users has grown exponentially since it was first introduced to the mark...

A: Given query is to find the expression for number of users after 2010 then find the time when it reac...

Q: Estimate of f′(3)

A: NOTE: Refresh your page if you can't see any equations. . to find the value of f'(3), we need to jus...

Q: Let F(x) = 2x^3 - 5x + 1 Explain, by using the Intermediate Value Theorem, why this function has ( a...

A: A polynomial function is everywhere continuous. A point x= a is said to be a x- intercept of a funct...

Q: The polynomial inequality x +9x + 18>0 can be solved by first solving the equation The real solution...

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

A: Option (d) is correct

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A: (a) M1 = 2000 lbfor tension in the cable we need to find balancing condition means vertical omponent...

Q: State the value of each of the quantites below. A) limx---> -4^-   F(x)= B) limx---> -4   F(x)= C...

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

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Q: Identify the graph corresponding to the following function (t 0): y =tu (t – 1) – tu (t - 3)

A: solution is given below

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: The dependent variable in aUgy = BUyy = k is/are: °U a, B o x, Y

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Q: 9.

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Q: 5+ I 2 3 4 5 а. Find the x value k at which the function has a removable discontinuity. b. What valu...

A: Given a graph of function f(x) needs to verify its continuity.

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

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Q: Find the area of the shaded region. 5 cm 5 cm 18 cm 11cm 4cm 2 cm

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Q: 3 4/3 3,213 +7 for 1sx<8. - -X Find the length of the curve y = 7x ... The length of the curve is (T...

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Q: Find the values of x such that the vectors (3, 2, x) and (2x, 4, x) are orthogonal.

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Q: Given the function f(x) = - 2x

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Q: Use the arc length formula to find the length of the curve y = V 16 – x2, 0 s x < 4. Check your answ...

A: Circumference of a circle = 2 * π * radius

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A: To find the answer of the above question lets find the difference between linear search and binary s...

Q: Express the differential equation d?y dy 30y = 0 - dx? dx in differential operator form. O (D – 5) (...

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Q: Given a differential equation of the form y (x) + p (x) y = q (æ). where it follows that Su(x)g(x)dx...

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: Topic = Integration

Q: Šubject 1: Gains from Trade Greece and Finland produce and consume two goods, timber (T) and dairy p...

A: A gain from trade is a simple concept - two parties traded and both parties got something out of it....

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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: (e) S -dx, x = 3 sec t Ans. C + Vx² – 9 – 3 sec¬1 () (f) x² + 4x – 5 -dx

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

A: Apply Cauchy Frist theorem on limit

Q: A 10-ohm resistor and a 5-Henry inductor are connected in series with a voltage source rated at 20 V...

A: use ohms law and Kirchhoff law for finding the right option.

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

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Q: Complete the identity. sin(@)=

A: Trigonometry identity

Q: Evaluate the triple integral of f(x, y, z) = cos(x^2 + y^2) over the solid cylinder with height 8 an...

A: By Cylinder Coordinate System we solve the above question.