The equation of the plane containing the points (3,1,3), (4,0,-2), and (11,-5, 12).

Q: The demand function for a certain product is given by D(p) = O A. D'(p) = OB. D'(p) = 2,055 +198p…

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Q: Fill in the blank. (Enter your answer in terms of t.) { } [ 2 12s + 40 G S

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Q: Use the indicated change of variables to evaluate the following double integral. x = = (u + v), y =…

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Q: Let f(x) be defined as f(x) = 5x³ cos(x). Find f'(1). (If necessary, round the answer to three…

A: find out the f'(1).

Q: During a prolonged recession, property values on Long Island depreciated by 10% every 6 months. If…

A: Original cost of the property=200,000Value depreciated by =10% per 6 monthst=4 yearsand n=2   (no of…

Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.) 0…

A: L{f(t)}=∫0∞f(t)e-stdt using above formula L{f(t)}=∫01te-stdt+∫1∞(2-t)e-stdt ........(1)

Q: 5. Use elementary Maclaurin series to find Maclaurin series for the following functions. a) 2²=-=-11…

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Q: 0. Let u and y be functions of x that are differentiable at x = 5. Given that u(5)--7, u'(5)-1, v(5)…

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Q: allon x² + 10 x + y² + 10 y 94 - 0 THANA

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Q: t = 0, a bacterial culture weighs 4 grams. Three hours later, the culture weighs 5 grams. The…

A: We have to solve the logistic model equation with given data.

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A: Given : ∫00.11+x4

Q: 7. The function f(x) has a critical point at x = 3. This could mean that A. There is a minimum at x…

A: Topic = Derivative

Q: Compute √√7, using Newton-Raphson method, Starting from (Xo = 1.5) (take an accuracy 5D places)

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Q: Let f(x, y, z) = eª + zy² and let C be a straight line segment connecting the points (4,2,1) and…

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Q: f(x)= { A. True B. False 4x²-5, 32x-69, x≤4 x>4 is continuous and differentiable everywhere.

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Q: Let f(x) be defined as f(x) = e* sin(x). Find f'(1). (If necessary, round the answer to three…

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Q: cos Ꮎ 1 + tan 0 sin Ꮎ 1 + cote = cos 0 sin 0 Suppo pat bus to as to

A: Left side is given by :cosθ1+tanθ-sinθ1+cotθ

Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: Given,  a=4i-j+8k, b=16j+8k

Q: Given the equation below, find dy dx 36x8(6+5x²7y) 5236 + 7y y dy dx 36 24x² + 5x³y + y² = 30 Now,…

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

A: Given :u=<6,-3,8>

Q: Find the limit of the sequence using L'Hôpital's Rule. bn = 6   n ln  1 +  1 n   lim n→∞ bn =…

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Q: Find the particular solution of the differential equation that satisfies the initial condition.…

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Q: Suppose a particle travels clockwise on a triangular path connecting the points (0,0), (3,1), and…

A: greens theorem

Q: Use logarithmic differentation to find the derivative of the function. y=square root (x-3/x6+5)…

A: We can find the derivative of the given function by using the logarithmic differentiation. log (xa)…

Q: Determine whether the planes are parallel, orthogonal, or neither. 4x 3y + z = 6 x + 4y + 8z = 1 O…

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Q: . (True/False) Let C be a closed curve. Then for a continuous function f, we have fof ds = 0.

A: As per our guidelines i am supposed to answer only one question please repost remaining question

Q: 41. Find S₁-S₂ given that S₁-₁7/2 $₂= [²2, 2 A. B. C. D. E. Diverges

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Q: Use the summation properties and rules to evaluate each series. n(n+1) Summation Rules: Σ=1 1 = n; Σ…

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

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Q: A quarterback is standing on the football field preparing to throw a pass. His receiver is standing…

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Q: If m≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

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Q: O S₁ (√x - x) dx

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Q: I Eliminate the parameter in the parametric equations x=6+ sint, y=3+2 sint, for Osts, and describe…

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Q: Find r(t). u(t). r(t) = (5t - 8)i + 18. u(t)= t²i8j + t³k r(t) .u(t) = + 4k Is the result a…

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Q: A 4-pound weight stretches a spring 2 feet. The weight is released from rest 15 inches above the…

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Q: Find the general solution of the given higher-order differential equation. y"" + 4y" - 9y' - 36y = 0…

A: To find the general solution of the given differential equation.

Q: Find a unit normal vector for the following function at the point P(−3,3,−27) f(x,y)=x^3

A: Find a unit normal vector for the function f(x,y)= x^3 at point P(-3,3,-27)

Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: Solve the ODE below: 1 -2t =e Y"" - Y{ - 2Y₁

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Q: Use Lagrange multipliers to find the maximum value of f(x, y) = 6x + 6xy +y where x >0 and y>0…

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Q: Integrate 01-In x + C о √(5-2) x – 10 ln |x| X - - - 1 10 In |x| 2 25 Olnx-25x + C ▬▬▬▬▬▬▬▬ X dx. +C…

A: Topic = Integration

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: ven the revenue and cost functions R=28x -0.9x² and C = 7x + 12, where x is the daily production,…

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Q: iv) Find the area of the shaded region under the curve y = between the values 4 and 2 on the x axis…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim_ (ti+ sin(t)j +…

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Q: 5. Use elementary Maclaurin series to find Maclaurin series for the following functions. (a) e-1 8…

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Q: Evaluate ľºm vy I 1-x² x² + y² dydx.

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Q: An = e²n/(n+2)

A: Topic:- sequence and series