Direction: Determine the Inverse Laplace Transform of the functions by reduction to partial fractions. s2+3 1. (s-3)(s+5)(s-1)2

Q: Question 26 Find y' by implicit differentiation for 2y³+4x2 – y = x6 . - V 6x5 – 8x (A 6y2 – 1 6x+…

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Q: 3/Describe using words the transformations that can be applied (in order) to the parent function to…

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Q: 2 cos^2 x-sin x -1=0

A: 2cos2x-sinx-1=0⇒1-sinx-2sin2x=0⇒sinx=-1, sinx=12⇒x=3π2+2πn, x=π6+2πn, x=5π6+2πn

Q: Choose the correct answer by using the Product rule of derivative. d dx - (x4.x7) is equal to…

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Q: Given the second order non-homogeneous linear differential equation y+2y-3y 3 ex+ 4 cos x, (notation…

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Q: 2. Find the 2nd derivative of sin (x²-1) y *2cos(x^2-1) 4x^2 tan(x^2-1) 2cos(x^2-1) + 4x^2…

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Q: 06 Express cos 0 in terms of multiple angles. O (cos50 + cos30 + cos0)/16 O (cos50 + cos30 + cos0)/8…

A: Please find attachment for the details solution

Q: Find the derivative of g(x) = e * x). sin (1+ 0-3x²e*cos(1+x°) O xe*1sin(1+x°)+3x²e*cos(1+x) O…

A: The product rule of derivatives states that duv=u'v+v'u.

Q: Suppose a 3rd order constant coefficient ODE has a characteristic equation that had 3 distinct…

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Q: 5. Sketch the graph of r=2 cos 30 over over [0, a] (use x on [-3, 3] and y on [-3, 3] when using…

A: Solution: Given: r=2cos3θ ,[0,2pi] We are here using the graphing calculator to making graph.

Q: verify cos(3x) = 4cos^3 (x) - 3cos(x)

A: We know that  cos(A+B)=cosAcosB-sinAsinB Therefore cos(3x)=cos(2x+x)=cos(2x)cos(x)-sin(2x)sin(x)

Q: How did you get the rewrite from sin^2(x)/sqrt(1+cos(x))

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Q: Simplify (1/sin (x))+(1/sin^2(x)) in a single reduced fraction

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Q: Question 1 Find the derivative of y=sin(3x² - 4x + 1). dy dx dy dx dy dx dx = - (6x-4) cos(3x² -…

A: The function is y=sin(3x2−4x+1)aim is to find the derivative of the given sin function

Q: The equation of the vertical line through the * point (-1, 4/3) is x= -1 True False This is a…

A: Topic = Algebra

Q: which of these possible solutions for cos^2x +n sin^2x - 1 = 0 in the interval x R [0,2pi]

A: This question is based on Trigonometric equation.

Q: Differentiate the function. A y = 2x>e²2x + 5xªe2x В У 3 5x (е2%) + бе2(20х3) y = (5xª)(2e²^)

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Q: Find the location of the point A after a translation of 9 units up. DELETE RESET UNDO POINT 4 B 3 -6…

A: We want to find location of point A after translation.

Q: cos( 2 sin' ( x/ 11)) = Select one: O( 2x2 - 121 )/ 121 O(121 - 2x2 )/ 121 O 22 x/( 121 - x ) O 2x (…

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Q: On Section 3.6, question 25.  I do not understand what rule is used to convert derivative sin 3t to…

A: To show the derivative of sin(3t) is 3cos(3t) and the derivative of cos(5t) is -5sin(5t).

Q: Ssin^3 (2/3 x) cos^4 (2/3 x) dx

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Q: Determine the value of the serie 4∑ ((-1)^n)/(n^2) *cos(nx) at the point x=1

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Q: Determine the derivative of the following function and simplify: tan³ (22) sin² (5x) - O 2 tan² (2x)…

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Q: Ísin^8 (3z) cos^5 (3z) dz * O 1/27 cos^9 (3z) - 2/33 cos^11 (3z) + 1/39 cos^13 (3z) + C O 1/27 sin^9…

A: Given integral I=∫ sin8(3z) cos5(3z)  dz

Q: Question 7 Use U substitution to find each anti derivative NEATLY SHOW WORK thank you

A: Evaluate it.