dx -x - e

Q: If the Laplace Transform of F (t) = vi what is the Laplace Transform of is 4s 2 F (t) = e' vt3?

A: Laplace transform of F(t) = et root t3

Q: Let D be the region bounded by the paraboloids z = (8 - x^2 - y^2) and z = (x^2 + y^2). Write six di...

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Q: lim a. b. lim t-2 V2 + t – 2 t – 2 sin 7r с. lim 50 sin 3r 8 d. lim 16 16. V9r² + 4 lim 2.r + 1 е.

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli eq...

A: We need to solve DE.

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

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Q: Does f=g?

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Q: The voltage drop across an uncharged capacitor with a capacitance of 106 farads is O 10 O 106 O 106 ...

A: We have given uncharged capacitance  with capacitance  C=10-6 F Using Formula  Q=CV As capacitor is ...

Q: 3) The magnitude of a velocity vector is speed. Suppose that a wind is blowing from the direction N4...

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Q: I. The Derivatives: Perform long method. 1. v = Ja2 – y? 2. x = 3t2 - 2 Vt

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

A: Option (d) is correct

Q: Which of the following differential equations can be solved with the substitution Y = VX? (6x + y ) ...

A: Any differential equation is solvable by y=vx if and only if it is homogeneous differential equation...

Q: Given the equation f sin“ x dx If you integrate the given equation, the answer is

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Q: 5. Use the given information to sketch the graph of the function f. (-0,–2)U(-2,2)U(2,0) all real ex...

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Q: -6e' sin(at – 3) dt

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

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Q: 2set up but do not evaluate an iodegoral thatreprsedtsthe lvolume of the solid of rerolution obdaine...

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Q: 30 27 24 21- 18 15 12 -4 For the above function f( x ) = 7 - 1.45*, estimate f (1) using h = 0.001 f...

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Q: Given f(x)=3x+8, evaluate f(x^2)

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Q: 2dt (t – 3)vt2 – 6t +5

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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: 6. Solve the following problem: kiwis cost 5 coins, oranges cost 4 coins, and 2 grapes together cost...

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Q: Given the curve y = x3 + 3x, at what point is y' = y'' ?

A: As we know that, The Power law: ddxxn=nxn-1 The sum/difference rule: f±g'=f'±g'   Given: y=x3+3x And...

Q: Let f(x) = x^2 −x −2. Using the Intermediate Value Theorem, explain why this function has (at least)...

A: The function is  f(x)=x2-x-2

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: 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: Construct an appropriate triangle to find the missing values. (0° S0 S 90°, 0 s 0 SR/2) Function e (...

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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: Tan -30  find the exact value of each trigonometric function

A: The given trigonometric function is: tan(-30)

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

A: Topic = Volume

Q: 9.

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Q: [6] Find the solution of the first order ordinary differential equation (1– 3y2) dy – x sinx dx=0, y...

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Q: Problem 1. Evaluate the following integrals x + 4 (a) S ; d.x x2 + 2x + 5

A: As per our guidelines we are supposed to answer only one question i.e. the question no (a). For the ...

Q: 5e3* dx 9-12e3* + 4e6x ,3x 6.

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Q: Ten strands of healthy bacteria are placed on a petri dish and are allowed to freely multiply. Nutri...

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Q: 2set up but do not evaluate an indegral.thatrepreseadste lvolume of the solid ofrevolution obdeined....

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Q: The differential equation ( + 2y) dx solved with which of the following integrating factors? -2 V = ...

A: Given, The differential equation 1x1x+2ydx-dy=0 We have to find the integrating factor.  

Q: Find the volume of the solid formed by rotating the region bounded by the curve y = v3 and the line ...

A: Follow the procedure given below.

Q: Function e (deg) e (rad) Function Value tan 30°

A: Here we have to use the concept of trigonometric ratios.

Q: Find the angle e between the vectors in radians and in degrees. u = 6i + 3j + k v = 3i – 6j

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Q: Find L(5 t2n+1 – 4)° } - 4)}

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Q: d'y Given the differential equation + 4y = 0 and the initial dx2 conditions y(0) =0 and y'(0) = a, w...

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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: 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: 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: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. (...

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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: The half-life of a radioactive material whose rate of disintegration is proportional to the amount o...

A: Let X0 be the initial amount of material when t =0            After time t the amount which is left ...

Q: The Laplace transform of t" is valid for s not equal to 0 O s0 O s>n

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Q: 00 Which function has Maclaurin series(-1)"2" x" n=0 O f(x) = e-2x O s(x) = 1+2x O sx) = e* O f(x) =...

A: We have to find function

Q: 9) If a cup of coffee has temperature 95° C in a room where the temperature is 20° C, then, accordin...

A: topic - definite integral