Which of the following is equivalent to the expression a) √√³² Ob)-20 h³ d) h² • ?

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 graph below, what can you say about the function at (-1,1)? Not Continuous Continuous

A: Here we have to find whether the given graph is continuous or not.

Q: 3. Consider the vectors X and Y in R³ where X = i +3j and Y = 4i - 2j+2k. Find the unit vector…

A:

Q: dx (x² - 64)² = 256 + x + 8 256 + x-8 2048 In (x+8) - -In (x-8) + C 2048

A: Follow the procedure given below.

Q: Evaluate the surface integral f F.dS where F(x, y, z) = yz i+zxj+xy k and S is the S surface z =…

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Q: If f' is positive and increasing over an interval I, which of the following is true about the graph…

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Q: Solve the following initial value problem using Laplace transforms. d² y dt² -9y=4e³¹; y (0) = 0,…

A: d2y/dt2 - 9y =4e3t; y(0)=0, y'(0)=-1.

Q: Q3/ Answer one from the following :- 1- Determine the general solution y(x) for the equation 2y" -…

A: Explanation of the answer is as follows

Q: A water tank is in the shape of an inverted cone. The cone is 8 ft tall and 8 ft wide at the top.…

A: Given a cone of 8 feet height and base has a diameter of 8 feet, the cone is inverted. To find the…

Q: Determine a root of f(x) = 2* +3 cos(x²)-2 with 10-3 accuracy.

A: Given :f(x)=2x+3cosx2-2

Q: 20. The demand for a certain portable USB battery charger is given by D(p) = -4p² +2p+5, where p…

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Q: Determine the area bounded by y = x³ and y = 4x using a vertical element

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Q: What is the slope of the tangent line to the curve y = at the point (3,)?

A: What is the slope of the tangent line to the curve y=1x at a point 3, 13 ?

Q: what is y' of y=sin-1(cos x)

A:

Q: Solve the problem using implicit partial differentiation. Show your complete solution. No shortcuts.…

A:

Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

A: Given x=t-4To find L{x.e-x}

Q: What is the lim x². In(x) x-0+

A:

Q: 3- 1 له وال * IT X I sintLy, y Ha

A:

Q: 2.) Determine whether the geometric series is convergent or divergent. If it is Σ(13) " n=1…

A: To determine  whether the given geometric series is convergent or divergent. If it is convergent, to…

Q: What is S (x² + 2x)² dx? + x³ + ³x² + C 4 S (x² + 2x)²dx = ¹x¹ + x³ + 4 f (x² + 2x)²dx = (x² + 2x)¹…

A: We know, ∫xndx= xn+1/(n+1)

Q: 2. 2y² SS dxdy 1 y

A: Disclaimer: Since you asked multiple question,we will solve the second question for you. if you want…

Q: For the following exercises, draw a typical slice and find the volume using the slicing method for…

A: Follow the procedure given below.

Q: Find the solution to the differential equation below such that y(0) = 14 y' = 10xy - 2x y(x) =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The graph of f is given below. -2.5 -2 -1,5 Why is f not differentiable at x = 1? Of is continuous…

A:

Q: Which one of the following is the domain D for f(x, y) = ln (2²-(y-2)²) ? Select one alternative:…

A: The given function: fx,y=lnx2-y-22.We need to find the domain.

Q: A linear combination of of u 3 and v= A on the plane, which one of the following is the equation of…

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Q: please answer #2 #3 #4 find the transcendental curve sketching and the following a. symmetry b.…

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

Q: Let A be a 2 x 3 matrix, B be a 2 x 3 and C be a 2 x 1 matrix. Which of the following could be ABC?…

A: follow next step

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

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Q: Match the given differential equation with one or more of the solutions. (Select all that apply.)…

A: Substituting the given values of y in the differential equation

Q: 1-5th gaase rsino drdo

A:

Q: Evaluate the surface integral [[ F.ds where F(x, y, z) = (x³ +y³) i+(y³+z³) j+(z³+x³) k S and S is…

A: We will calculate surface integral , use of divergence theorem

Q: ST 5*5*², 5x5x²x² coscyl dy d z d x

A:

Q: Evaluate the given limit. Show your complete solution. limo(-x ln(sin(4x² - x)))

A: Let's find limit of given function.

Q: Question 2 (a) Find the derivative of the function. x3 F(x) = sin(u²) du (b) Find the area of the…

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Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

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Q: Find the volume of the solid formed by revolving the graph of y = 2e- on the interval [0, ∞) about…

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Q: What is the equation of the curve that passes through the point (-2,3) and whose slope function is…

A: Integrating the slope equation gives the curve equation

Q: 10. DETAILS ZILLDIFFEQMODAP11 3.1.023. MY NOTES ASK YOUR TEACHER A large tank is filled to capacity…

A: To find the number of At

Q: What is the limit of 3x4 as x approaches ? 1 2 12 evaluated 2 3 16 0 1 16

A: Given problem:- limx→12 3x4

Q: Whatis the derivative of y = sin (2x − 1)? dx = 2 cos (2x - 1) dy dx = cos 2x dy -2 cos (2x - 1) cos…

A:

Q: Give the solution for Product rule, quotient rule, general power rule 5 8-ax y = 8 + ax/

A: Here we have to use the product rule, quotient rule and general power rule.

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

A:

Q: 11 Let A be a 3 x 3 matrix. Which of the following is not a valid row operation when row-reducing…

A: Here we have to choose the correct option.

Q: 4. √ (3x² + 4x − 5). 8(r³+2x²–5x+5) dx

A: We have to find solutions

Q: Find the area of the region bounded above by y = x³ + 1 and below by y = x + 1. 3 2.5 2 1.5+ 3.5…

A:

Q: Let f denote a piece-wise defined function whose graph on the closed interval [-3,3] is shown below:…

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

Q: Assume a and y are functions of a third variable t. If xy = 30 and 10, find dt 0-6 0-3/1/20 O-12…

A: Here we use the concept of derivatives

Q: For the function f(x) given below, where x > 0, evaluate lim f(x). X18 f(x) = ln(9x³ + 10) - In(2x²…

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Q: Evaluate: (e5x + x4) dx A. 5(e5x+x5) + C B. (e5x+x5)/5+C

A: answer is in next step