Determine the Laplace transform of 2et cos (6t - T). CO 8-4 3/3 (금) s2-8s+52 s2-8s+52 ㅇ (-) -85+52 3/3 8-4 s2-8s+52 O -s+4+6/3 s2-8s+52 -6-4+6/3 82-88+52 none of the choices

Q: 2ª + e2" sin(2ª) dx sin(2ª)

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Q: (v) sin"x y = ne Inx? y = 1+x? (vi)

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Q: 3:) Consider the function g defined by g(x ,y) - cos ( TX VG) + loga (x-y) 3 (6) calculate the…

A: The function g(x,y) is defined byg(x,y) = cos(πxy) + 1log3(x-y)=cos(πxy) +…

Q: II. Find the Inverse Laplace of the following 1 a. s2+6s+25 s2 b. (s-1)3 7 5 6 С. s4 8 s3 s2

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Q: x5Vx2 + 2dx

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A: Topic = Derivative

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Q: Suppose that for a company manufacturing bluetooth and wireless headsets, the cost and revenue…

A: Let's find.

Q: A tree trunk has a circular cross section at every height; its circumference is given in the…

A: Let's find.

Q: Let f(x, y, z) = xy + z°, x = r + s – 61, y = 3rt, z = s'. Use the Chain Rule to calculate the…

A: Given;  f(x,y,z)=xy+z3, x=r+s-6t, y=3rt, z=s5.

Q: nd the sum of the following series. If it is divergent, type "Diverges" or "D". 3n 5"n! nswer. ote:…

A: To find the sum of the series.

Q: 04: S+* + 1)sin z dz =

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Q: Suppose f(x) = x° + 3, xE[- 1, 2]. (a) Find the slope of the secant line connecting the points (x,…

A: Given : f(x) = x3 + 3 ,x∈[-1,2] (a) Find the slope of the secant line connecting the points (x,y) =…

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A: Solution: x+y+z = -3 ..............(1) y+z =4 .............(2)

Q: 5. Given 2 distinct unit vectors & and ŷ that make 120° with each other. Calculate the exact value…

A: 2 distinct unit vectors x^ and y^ that make 120° with each other.

Q: LDE with Variable Coefficients d²y + 6(x² + x) sin x d?y 6x2 sin x+ 6y sin x – 6 sin x- + sin x- dx2…

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Q: I. Evaluate each of the following iterated integrals. clnx Si S, So yezdzdxdy

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Q: Q3: A. By power series, prove that: d Cosx = -sinx dx B. Find the value of x for which Inx + (Inx)²…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: The objective of the question is determine Mn.

Q: The series E- an is divergente then the series E(an)* is also divergente k31 Select one: True False

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Q: By considering different paths of approach, show that the function below has no limit as…

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Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

A: use the equation given and find the region to be integral

Q: Solve ſ 8x cos(7x) dx using Integration by Parts.

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Q: Find an equation for the conic that satisfies the given conditions. ellipse, center (-3, 3), vertex…

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Q: Question 3 Compute V31.6 approximately by use of differentials. 1.098 (E) None of the choices 1.890…

A: 31.65=1.995

Q: 1 x2 1. Evaluate: f(x) = S, dx 2. Find the Taylo

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Q: Consider f(x) = cos (x) ln(x +2). a. Find the local linear approximation of f(x) at æo (In 2 =…

A: linear approximation of function fx=cosxlnx+2, at point x0=0

Q: 3:) Consider the function g defined by g(x ,y) = cos (TXVG) + logg (x-y) 3 (b) calculate the…

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Q: 1. f(t) = t3 – 12 +5t + 2 2. f(t) = cos25t 3. f(t) = -2cos6t + 5sin6t %3D

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Q: 00 5 converges or diverges. If it converges, find its sum. 3m Determine whether the series > m= 2…

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Q: he path r(t) = (4 sin t) i+ (4 cos t) j describes motion on the circle x +y = 16. Find the…

A: Topic:- application of derivatives

Q: solve 4cos^2(x)-13cos(x)-12=0 for all solutions 0<=x<2pie

A: We can find the solution as below.

Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

A: We have to solve and choose from given option.

Q: b. dx Vr - 2x2 + 1

A: To evaluate: I=∫x5x4-2x2+13dx=12∫x22(x2)2-2x2+132xdx Substitute x2=u⇒2xdx=du

Q: In Exercises, the given vectors form a basis for a subspace W of R or R'. Apply the Gram-Schmidt…

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Q: 3r5 dx V2 – x3

A: ∫un du = un+1n+1+C.

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A: Please see the answer below.

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A: Let's find.

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A: Consider  8sin(20x)sin(9x)

Q: 1. Given the vector u = (2,0, 1). %3D (a) Solve for the value of a so that u and i = (a, 2, a) form…

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Q: Find an equation of the sphere whose endpoints of a diameter are (-2,0, 5) and (-1,2, 3).

A: We can find the equation of sphere as below.

Q: 32 RELATED RATES TUTORIAL 32 d0 when the angle is TC radian ? top of the ladder and the wall…

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Q: (i) B(2,3)-

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Q: Using integration determine the Laplace transform of f (t) where f (t) =t when 0 2 %3D

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Q: 3. Consider the vector field F(x, y) = (2xy, x² – sin y). Evaluate %3D F. ds where C is the curve…

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Q: The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H)…

A: We will differntiate, and find the values.

Q: (iii) y= x'e**, y = sin x+eec* (iv) sec x

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = e 2x2 + y? - 8x…

A: To find out all the local maximum, local minimum and saddle points.