Find curl (62 i + 7x j + Sy k). curl (62 i +7x j + 5y k) = (i k )i + (i )j + (

Q: Please show your answer to 4 decimal places. Suppose that f(x,y)=e^(−x^2−2y^2−y)then the maximum is

A: We have to find the maximum.

Q: and the first partial derivatives of the function. f(x, y) = 4y

A: Given the query is to find indicated partial derivative.

Q: d/dx(y(x)) if x and y are related by the parametric equations x = t+sint, y = t^t

A: Given  equations x = t+sint, y = t^t

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Q: 31. Cost In redecorating an office, the cost for new carpeting is $40 per square meter and the cost…

A: Concept: The Lagrange multiplier method: The Lagrange multiplier method is a method for determining…

Q: ). Determine whether the series ∞ 2 cos(n?) n   n = 1 converges absolutely, converges…

A: answer is in next step.

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Q: 7 Find f(x) if f'(x)= and f(1) = 4. O A. f(x) = -28x-5 +32 -5-3 O B. f(x) = -28x 7 3 O C. f(x) = OD.…

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Q: = 4 sec 0. Find the Cartesian equation for the polar curve r =

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Q: etermine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that…

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Q: At time t = 0, a bacterial culture weighs 4 grams. Three hours later, the culture weighs 8 grams.…

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Q: Sketch both parametric curves below. Then determine if they intersect they intersect, find the point…

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Q: Question 3 Answer the following True or False: If d & will work for the formal definition of the…

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Q: or Questions 1-3, use the differential equation given by 1. Complete the table of values -1 X y dy…

A: Put value in function

Q: Solve the initial value problem y" + 8y' + 16y = 0, y(-1) = 3, y'(-1) = 6. y(t) = = e -4t -4t + xe X

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Q: Use Green's Theorem to evaluate the line integral. √ y² dx C: boundary of the region lying between…

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Q: g(1, 2) = g(2, 1) = = g(x, y) = 6x² - 8y² g(1, 1) = ||| || g(-1, 1) g(2, -1) =

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: 3. A child holds a ball 4 feet above the ground and throws it. The ball follows a parabolic path…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Topic- Absolute Extrema of a function

Q: Find T(t) and N(t) at the given point. t x = e¹ cost, y = e¹ sint, et sint, z = zet; t = 0 T(0) N(0)…

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Q: fo axy dx + 2xy dy, where Cis the rectangle bounded by x = -1.x = 1, y = 1, and y = 5. 6xy dx + 2xy…

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Q: 2x Summarize the pertinent information obtained by applying the graphing strategy and sketch the…

A: Here we have to find the domain of a function.

Q: TE: Use c for the constant of integration. 3 t²54 t + 486 + 9y' +y = 3t² C es utions converge to the…

A: Topic:- differential equations

Q: Determine if the following series are convergent.

A: we have to check whether the series is convergent or divergent.

Q: Evaluate ∫4x+5/(3x+2)(x+3)dx

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Q: Sketch the space curve. Vector-Valued Function r(t) = -ti + 2tj + 6tk O 5 5 5 * * kk 5 Z Find its…

A: We have to sketch the vector and find the length of curve.

Q: Prove Vf(r) f'(r)r r

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Q: Evaluate if possible a) 2 ∞ Σα η=4 n2+4n+3

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Q: Summarize all pertinent information obtained by applying the graphing strategy and sketch the graph…

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Q: L{F(t))} = √° e-stf(t) dt to be the Laplace transform of f, provid [6, 0≤t<3 lo, t≥ 3 lete the…

A: Topic:- application of integration

Q: Find the following for the given equation. r(t) = (e¯t, 3t², 6 tan(t)) (a) r'(t) = (b) r"(t) = (C)…

A: Given:         rt=e-t,3t2,6tant a)   r't=ddte-t,ddt3t2,ddt6tant              r't=-e-t,32t,6sec2t…

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

A: We need to find Laplace transform.

Q: If D is a subset of R and c is a cluster point of D, implies which of the following? (a) N*(c,1/n) n…

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Q: A fence is to be built to enclose a rectangular area of 1800 square feet. The fence along three…

A: Solution of given question is written in below steps.

Q: Find the volume of the solid formed by revolving the area bounded by the curve y^2 = (x^3)(1-x) in…

A: Given problem:- Find the volume of the solid formed by revolving the area bounded by the curve y2 =…

Q: Question 1 Find the equation of the line whose graph is in the figure below and write it in the…

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Q: Hours (x) Bacteria (y) 0 1853 1 2221 2 2714 3 3056 4 4078

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Q: dx 2x+y

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Q: X- 2 me graph below. on graph to enlarge) 110 1,0

A: Topic:- calculus

Q: Admission to a baseball game is $3.50 for general admission and $6.00 for reserved seats. The…

A: Given the query is to find the number of each type of tickets sold.

Q: O O 01 lek 0 Question 20 f(x) ²-1 on (0,] is given. Find the Riemann Sum with 3 subintervals using…

A: The given function is: fx=x2-1 on 0,32 Find the Rieman sum with 3 subintervals using the right…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Use Green's Theorem to evaluate the line integral Ico (y - x)dx + (2x - y)dy for the given path. 3π…

A: Solution is given below:

Q: Convert the given exponential function to the form indicated. Round all coefficients to four…

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Q: What is lim x-inf (x_n) and y=lim sup (x_n) where x_n = [(-1)^{3n}] + 2?

A: We have to find the lim inf and lim sup of sequence

Q: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the…

A: The solution is given below