The Laplace transform of ,-2r ,3(1-t) dt e is Select one: 1 (s + 3)(s – 2) 1 (s + 3)(s + 2) 1 (s – 2)(s – 3) O None of these |

Q: y =1+6.x% Osrsl for Find the exact length of the curve

A: Length of the curve

Q: Determine the area of intersection of the regions limited by the graphs of the equations: r= 3sin2∅,…

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Q: Find the 2nd derivative with complete solution y = 3x + 5 / x^2 + 4

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Q: A = (Round to thế heares There is no solution. e the value of a. Select the correct choice below…

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Q: Solving bernoulli differential equatioA 27 Xp 2X 2Y

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Q: Use Method of Variation of Parameters: [D2 - 8D + 16]y = e4Xsec2x %3|

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Q: 1- x dx 3.

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Q: 1. Consider the lines x = -1+ 2s by:- = and t2: y=s x – 5 l1 : 3 – z %3D 4 z = 5+ s а. Find two unit…

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Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9) (b) 352+5s+1 (d)…

A: Let's find.

Q: Obtain the differential equations satisfied by the given particular solution 2. y = 7- 2x +e*

A: The objective of the question is determine the differential equation.   Note -  As per our…

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Q: ven the function f(x) = -x* – 4x termine its critical points and assify then, determine the point(s)…

A: Topic:- calculus

Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

A: Parametric equation of line passing through a point x0,y0,z0 in the direction of N=a,b,c is…

Q: The limit lim (x In( cos x-00 is an indeterminate form of type 0 0o. Select one: True False

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Q: Q2: Evaluate o o" y*(x² + y²)dx dy 1 cV1-y? y² (x? + y?)dx dy

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Q: Convert to degrees and write it as the least possible positive coterminal angle. a. -220° b. 120° C.…

A: We have to find the angle

Q: The approximation of / (x-3)e* dx by composite Trapezoidal rule with n 4 is: 4.7846 -25.8387 This…

A: Given:∫02(x-3)ex2dx

Q: thế föllowing triangle. (bebaon as Boosla Iamiab A = 31° B= 29° C = 14 m Select the correct choice…

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Q: Evaluate the indefinite integral, ſx² sinh x³ dx.

A: To evaluate: I=∫x2sinh x3dx⇒I=∫sinh x3  x2dx

Q: Find the maximum rate of change of the function f(x, y) 4y5 at the point (5,4)

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Q: Evaluate the following integrals: 1. S (cos x – sin x) dx 2. ſ cot²x dx 3. S (sin x + x) dx

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: PART

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Q: Find the differential dy: y = In (sec2 (3* )). -2a+5 O tan (3-2+* ) dæ -2r+5 dy = (x – 1)…

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Q: Solve for the general solution using homogeneous

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Q: a²z a?z a?z For each of the following functions z, find and ax дудх' дхду 3. z = tan-1 (2)

A: partial derivative

Q: Determine the local maximum and minimum values and the saddle points of the function: f(x,y)…

A: Given, f(x,y) = y3 + 3x2y - 6x2 - 6y2 + 2

Q: 4. f(t) = teatcosbt

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Q: Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. If the limit…

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Q: 18. Find [ 2x°(2x* -1) dx

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Q: Find the velocity and acceleration vectors in terms of u, and ug. do r= 6 e a0 and -= 3 dt Ju, +Juo

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Q: Determine dydx of function g 1 g(x, y) = cos (Tx ) + log3 (x – y)

A: We will use simple differentiation rules to solve this question.

Q: 1. The figure shows the graph of a function f (x) with domain 0 < x < 3. Which of the following…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: find two real numbers whose difference is 24 d whose product is minimum, we can find th inimum value…

A: We will find the function.

Q: Let A = (1,0, 1) and B = (0, 1, 3). Solve for projaB. %3D

A: This question is based on vector projection.

Q: 7. Each of the following statements is true. What can you conclude about the vectors i and i f: a)…

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Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A: Given problem:- Use differentials to estimate the amount of paint needed to apply a coat of paint…

Q: Suppose that f(æ, y) f(x, y) in the directional (1, – 1) and at the point = xy. The directional…

A: Here, the given function is: f(x,y)=xy So, ∇f=∂f∂x,∂f∂y⇒∇f=y,x⇒∇f(4,-3)=-3,4

Q: 1. Given the vector ū = (2,0, 1). (a) Solve for the value of a so that ữ and i = (a, 2, a) form a…

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Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: Find y=f(x) if f''(x)=4x^2, f'(0)=3, and f(0)=2.

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Q: QV Optimize the function Z = xị + xị Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange multipliers.

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Q: 2y(x? — у + х)dx — (x2 — 2у) dy %3D 0

A: I think mistake in question inplace of -ve sign.

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k = 11 6.…

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Q: 2. Which is the interpretation of the statement lim f(x) =L? i. For all x values close to c, but not…

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Q: 3n². {(-1y"-1, 4n2 - 1 n-1

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Q: 7. Find the volume of the solid obtained by rotating the region bounded by and r = 0 about the…

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Q: Evaluate the following integrals: 1. S(cos x + csc² x)dx 2. S(tan x + sec² x)dx 3. S(1+sec²x)dx 4.…

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Q: 1 X• In( coS lim (* - In(cos )) x00

A: Given

Q: Use the graph of H shown to the right to find the limit If necessary, state that the limit does not…

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Q: 2. Let A = (1,0, 1) and B (0, 1, 3). Solve for projaB. %3D

A: We have to find projection