2s + 3 Find the Inverse Laplace Transform of (s+4)3 e" (2cos21+ sin2r) 2 A

Q: dy y3 , У (0) : 1 dx 1– 2xy2

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Q: Let A = (1,0, 2) and B= (6, -2, 3). Solve for projĄB. 2.

A: A= <1,0,2> B= <6,-2,3> projAB = (A*B)A/[A]2 [A]2 = (12+(0)2+(2)2)2 [A]2 = 5 A*B = 6+0+6…

Q: . The linear differential equation dx 2 has the integrating factor equal to_ (Note: Simplify or…

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Q: 2 Integrating factors found by inspection.: fr -y +1}tr=x{x² - y² -1y=0

A: Given

Q: Which among the following will result from the evaluation of limit below? lim, where m = n. Bg aTt…

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Q: 4. Evaluate: lim (x,y)→(3,2) x cOS TY

A: To evaluate the limit of the given function, substitute x=3 and y=2  in the given function.

Q: . Determination of integrating factors: 2y(x+y+2)dx+(y² – x² –4x –1)dy = 0 %3D

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Q: Work out the product of 2cos60° x 3cos30° in polar and rectangular form.

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Q: 16-2 Evaluate: lim +4 V12+-a dne O 2 12 3 14

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Q: For the function f(z) = 3x- 2x +2, f(r + h) - f(x) evaluate and simplify: 4: Find the value of the…

A: Here, f(x)=3x2-2x+2

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Here is the solution.

Q: Given h(x)dx=- and G(x)dx =What is [8h(x)-3G(x) ]dr? 3. %3D O Cannnot be determined O 2 O none of…

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Q: How many man hours are required to load a freight car with 40 tons of product packaged in 100-lbs…

A: Total load=40 tons 1 ton in US=2,000lbs 40 tons=80,000lbs

Q: II. Solve the following problems completely. 4. Substitution Suggested by the Equation:…

A: We can solve the given differential equation by using the substitution u =x+2y

Q: Find the area of the parallelogram that has u = 2i – 2j +k and v = j+ 3k as adjacent sides. NOTE:…

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Q: Evaluate r(3+2r + r²) Find the limiting values of: 3x2 + 5x – 4 5x² – x + 7. x² + 5x – 4 Зх + 1 -…

A: 1. ∑r=18r3+2r+r22.a) 3x2+5x-45x2-x+7b) x2+5x-42x2-3x+1

Q: dx Evaluate: xV x² + 4 None of the given choices +4 - 4 + C 1 4 V x< +4 + 4 x² +4 – 4 + C x<+4 +4 x²…

A: integration

Q: determine your answer. Show your work to justify your answer. x+3 3uf(x) = ,c = 3 x-3 Aw f(x)= x +…

A: To solve the following problem

Q: 1. Linear equation of order one: dy-(r-2ydx=0

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Q: S x+yーz d.dy da ェ 64 10 10

A: Given triple integral ∫02∫04-x2∫ 0x+y x+y-z  dz dy dx

Q: 2. Find the maximum value of the directional derivative, D f, of the function _2 f(x, y, z) = x´ +…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = In(x2 + 5x…

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Q: 2) Find the parametric and symmetric equations for the line through (1, –1, 1) and parallel to the…

A: Solved below

Q: Consider the IVP: y" + 9y = 40ex ; y(0) = 5, y'(0) = -2. Find the general solution.

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Q: The motion of a particle is described by the position function s(t) = t3 - 12t2 + 36t, t > O where s…

A: Use the derivative for the finding velocity of the function

Q: Evaluate the definite integral by choosing the appropriate substitution. You must show your work.…

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Q: Use an improper double integral to find the volume of the indicated solid. 2--(* + y)/9 Osy<co 8 6 4…

A: We need to find the volume of the given shape.

Q: ƏM aN 6. In the differential equation (y² –x² - 4x-1dy+2y(x+y+2)dx = 0, what is

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Q: A local minimum value of the function f(x) = 2x3 + 3x2 + 3 is 1) O 2) 4 3) 3 4) -1

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Q: a. Intermediate-Value Theorem from Intermediate-Zero Theorem? D. Right-Hand Continuity from…

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Q: Find the derivative f (x) = e3x+ x (csc x + sec x)² %3D

A: Using product rule of Differentiation we find the derivative of given function.

Q: 1. sin?(ešin*t) + cos¯'(2t³ – 5)

A: Solution: ddxsin2(esin2t)+cos-1(2t3-5)

Q: Σ xn + 6 In n n = 2

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Q: 1. The lincar differential equation has the integrating factor equal to (Note: Simplify or solve the…

A: Given : dydx=1-xxy=-2x   To Find : Integrating Factor

Q: Answer 2 only

A: Solved below

Q: 3. The standard fom of the first order lincar differential equation xdy + (2.xy -3y-4x dx =0

A: As we know that; The standard form of the first order linear differential equation is; dydx+Py=Q…

Q: Let Ā = (1,3, –2) and B = (–1,-2,3,). Find the following. 1. The cosine of the angle between 3Ã + B…

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Q: Test the series below for convergence using the Ratio Test. n + 4 53п + 4 n=1 The limit of the ratio…

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Q: 4. Determine the general equation of the plane containing the points P(1, –4, -5), Q(2,0, 13) and…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the exact…

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Q: The motion of the particle is given by the equation v (t) = 2.00 t² – 3.20 t³ . What is the…

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Q: Compute the area enclosed by the curves. You must show your work. 1 y = x, y = x³, X=- 2 312

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Q: The slopes of the lines tangent to the function y = 4x° – 4 T on the interval (-oo, 00) is a…

A: Given ,  The slopes of the lines tangent to the function  y = 4x3 -4√x on the interval (-∞, ∞) is a…

Q: 2 dt 22. Evaluate o v9– 2t² 2 dy 3-y³ 24. Evaluate o v8-y'

A: 22)I=∫0129-2t2dtt=32 udt=32 duI=∫29-9u2 32duI=2 ∫11-u2 duI=2 sin-1uI=2 sin-12 t301I=2 sin-1(23)

Q: A projectile is fired vertically upward with an initial velocity of 64 ft/s from an initial height…

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Q: Consider a triangle ABC like the one below. Suppose that a=31, b= 68, and c=51. (The figure is not…

A: To solve the following problem to find the angles

Q: dæ Evaluate: x/9x² +4 A) None of the above V9x² + 4 + 2 B f (x) = -2 ln +C %3D 3x © s(12) = -- In f…

A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

Q: Find the critical points of the function 11/4 16 3/4 f() = 33 Use a comma to separate multiple…

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Q: Which among the following is an even function     x2 + 1     (x + 1)2     x2 + x     (x +…

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Q: 8. Find the dimensions of the rectangular box, open at the top, which has a maximum volume if…

A: Given surface area is 18 square feet.