Using the laplace transformation table, evaluate the following, considering any other variable other than t as constant unless otherwise stated: c. L[cos4at − sin4at ]

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A: we have given the graphf will be decreasing in itervals where its slope is negativewe can observe…

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A: The number of bacteria in a refrigerated food product is given by N(T) = 23T2-96T+12,  5&lt;T&lt;35…

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A: Since we are given the multiple number of questions and answered according to the guidelines.

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Q: dx What is where dy' x³ + y³ = 3xyusing implicit differentiation?

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Q: A=  0 0.3 0.25 0.1     D=  3 4

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Q: 7 Which of the following functions is not differentiable on all of R? Select one alternative:…

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A: Let's find limit of the function.

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A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Find the area of the region bounded above by y = x + 2 and below by y => X 542 1 1 2 3 4 5 -2 -3 O O…

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Q: Given w = y² arctan(xyz) + 2x ln(xz). Determine dw მყა dro = y² + 2 arctan(xyz) + 2x ln(xz) dy du…

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Q: your final answer 2. 54-e) cos(-+ In z) dz 3. Setanx+(tan² x)e+tanx dx S 4. 22x cos²x-ain 2x dx 5.…

A: I am attaching image so that you understand each and every step.

Q: Evaluate: lim-0 (cos 2x) 2²

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Q: The graph of O the x-axis O the y-axis O None of these O the Origin y = = xe is symmetric with…

A: From the property of the odd function we observe that function is symmetric property.

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A: Given , When function  F(x) is called an antiderivative of a function of f(x).

Q: 5 Sketch an angle 0 in standard position such that 0 has the least possible positive measure, and…

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Q: Based on the graph of the function below, where do the discontinuities of f(x) occur? x = 1, x = -1…

A: Given graph:-

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: See Explanation

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Q: What is the limit of limx→ sin x? 1/2 1 -1 10

A: Given

Q: find the derivative:  c(x)=(x2)500x (the choices are in the image bellow)

A: This question is based on Chain rule differentiation. d/dx {f(x).g(x)} = g(x).d/dx{f(x)} +…

Q: 1. Do both parts a) and b). a) Set up but do not evaluate an integral to find the arc length of the…

A: Solve the following

Q: Given: ez + xy = 1 Find: əz ?х de dz dz 82 da 8z dz = = -I zez+y -eitz. -*e* ze²+y -ze**-y re**

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Q: 31 Suppose h(x)=¹-42³. Which one of the following is true? Select one alternative: O The first…

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Q: 24 The following limit gives the derivative of a function f(x) at a point zo: lim h→0 √8+h 2 h Which…

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Q: 12. How much work is done by a variable force F(x) = (40 - x)N that moves an object along a straight…

A: Given that, the variable force is Fx=40-x N the interval is 4,20. Note that, the total work done by…

Q: Given: f(x, y) = ln[1 + x siny] Find: g² f(x,y) 8x² 2 sin y (1+xsin y)² sin² (1+2 sin y)² 1+2 sin…

A: In this question, we need to find the second partial derivative of the given function.

Q: Given the piecewise function f(x) = = Why is f not differentiable at x = 0? f is discontinuous at x…

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Q: 1. Solve the equation 6³x+1 = 22x-3 Leave your answer in exact form.

A: We have to find out x

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Q: Instruction: Evaluate the following Integrals. Write your COMPLETE solutions neatly and organized.…

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Q: 3 s) Suppose that the direct demand and direct supply functions are q = - - 1 and q = 1 respectively…

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Q: The temperature of a room in degree Celsius is modeled by a differentiable function T(x) where x is…

A: We need to choose correct option.

Q: 12 Let A be a square non-invertible matrix. Which of the following is not true? Select one…

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Q: Give a general solution of the differential equation y"–9 y = −2t cos 3t

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