Find the limit. lim (x, y) → (4, -2) X (x²y + 6xy² + 3)

Q: 2. Let g(x) = f(x) u(x) where f is the quadratic function from problem 1 and u is the unit step…

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Q: A sum of $900 at 8% interest compounded continuously will grow to V(t) = 900e0.08 dollars in t…

A: V(t)=900e0.08tdetdt=et

Q: 2.10

A: (a)  x=3y-3y3 ,  about x axis volume(V)=∫ab2πR(y)H(y)dywhere R(y) is radius H(y) is height

Q: Find an antiderivative of the function f ( x ) = (2x + 1) ¹/².

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Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) F(x) = if…

A: We have to find the limit and graph the function.

Q: Suppose lim f(x) = 7, lim g(x) = -4. 818 x48 x³ f(x) - 6x - 5 + 9x - 7 lim xxx³g(x)

A: The given limit is: limx→∞fx=7, limx→∞gx=-4 To find the value of limx→∞x3fx-6x-5x3gx+9x-7

Q: 1. Suppose the graph of f is given. Describe how the graphs of the following functions can be…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (-2i)+(4-3i) Write your answer as a complex number in standard form.

A: Given that : (-2i) + (4-3i) and we write this as a complex number in standard form.   We know that…

Q: 1 9. Describe how the graph of y = log x + 2 relates to the graph of y=1 = log(x).

A: The given function y=log15x+2. We have to find how the graph of y=log15x+2 relates to the graph of…

Q: 3. If f(x) = x² + 2x + 1, find f(x + h) where h is a variable.

A: fx=x2+2x+1

Q: The graph of the function f satisfies lim f(x) = 0. f(x) Note: You can click on the graph to enlarge…

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Q: Use the graph of F to find the given limit. When necessary, state that the limit does not exist. lim…

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Q: Find an equation of the plane. The plane through the point  (6, −7, −1)  and parallel to the plane…

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Q: Let f(x) = X x - a Find the value of a so that f'(1) = 1 - 4

A: This question is based on Quotient rule of differentiation.

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

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Q: K Given f(x) = 17x³ cos x, find f'(x). f'(x) =

A: The objective is to find the derivative of f(x).

Q: Find Əw when r= 1 and s= -1 if w = (x+y+z)²₁ x=r-s, y = cos (r+s), z = sin (r+s). ər

A: Just I have used the chain rule of partial derivative to the given problem and then calculate them.…

Q: Pls do fast within 5 minutes it's urgent and i will give like for sure Solution must be in typed…

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Q: Write out the form of the partial fraction decomposition of the function (See Example). Do not…

A: according to bartileby we do only first part of multiple there for please re post other parts in…

Q: Then find the length of the indicated portion of the curve r(t) = 5costi + 5sint j +9t k, where

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Q: Given f(x) = 8x² sin x + 13x-7, find f'(x). f'(x) =

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Q: Find the inverse Laplace transforms of the following functions s² + s +2 s³+2s24s - 8' G(s) = = F(s)…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Jo 2x t² sin 2t dt

A: Given query is to find indicated integral.

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 207 +0.4x and R(x) = 4x…

A: Let's find marginal profit function.

Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (-5, 2,…

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Q: Convert the point from rectangular coordinates to spherical coordinates. (−5, −5, sqrt(13))

A: Given query is y to find spherical coordinates.

Q: A mass is attached to a spring with spring constant of K=10. The spring is stretched to 30cm passed…

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Q: A solid is generated by revolving the region bounded byy = √ 196-x² and y=0 about the y- axis. A…

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Q: the planes z-4y-2z=-25 and 3r+y-2:=-7 are not parallel, so they must intersect in a line. The vector…

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Q: dz Find au du and dv when u = when u = |u= In 2, v=¯ π v = ln 2, In 2, v = 2 =(Simplify your…

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Q: Solve the oblique triangle. Clearly show supporting steps and diagrams. Round to the nearest tenth…

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Q: Consider the following points. (X₁Y₁)= (-5, 7) (x₂1 y ₂) =(4,-5) (a) Find the distance between the…

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Q: . (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does not otherwise √x…

A: Topic:- application of calculus

Q: Let (i) g(x) = = (ii) (a) Evaluate each of the following, if it exists. (If an answer does not…

A: As per Bartleby answering guidelines if multiple sub part question are posted in single pic then the…

Q: cion over the given interval.

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Q: 1. Let =(3,-1) and W = (1,2). a) Sketch the vectors v, w, vw, and 3v + w b) Find a unit vector in…

A: Unit vector we find by taking the resultant of vector.

Q: d Calculate the derivative (r = r'), where r = dt (Give your answer using component form or standard…

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Q: Find the points wher the graph of the function has horizontal tangents. f(x)=4x2+4x-4

A: The point at which the first derivative of the function is equal to 0 is the point where the graph…

Q: 1. Given that the tangent line to the graph of y = g(x) at the point (4,5) passes through the point…

A: We have given graph of the equation y=gx When x=4 g4=5 Let,  x1,y1=4,5 Equation of the tangent line…

Q: In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs.…

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Q: = x = 4√y,x= -7y, Use the shell method to find the volume of the solid generated by revolving the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: ***************** ***************** A company can produce LCD digital alarm clocks at a cost of $7…

A: The company's cost function is Cx=7x+20. We have to find its average cost function and marginal…

Q: The angle of elevation to the top of a building in New York is 12° from the ground and 1.25 miles…

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Q: the curve r(t)= lies on which of the following surfaces? A. z = y B. x = y^2 - z^2 C. x^2 = y^2 -…

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Q: As the financial consultant to a classic auto dealership, you estimate that the total value (in…

A: The given data is: v=310000+990t2    t≥5p=ve-0.05t To find:  When would you advise the dealership to…

Q: A piecewise function is defined as follows: y= -2x-1 -1<x<0 -(x-2)² +3 0<x<3 3 x = 3 1 3< x≤4 Sketch…

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Q: 2. If f(x) = and g(x) = sin(x): (a) Find the function (gof)(x) and its domain. (b) Find the function…

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Q: For the function, find the partials fx(x, y) and f(x, y) = (9x² + 3xy + 6)4 (a) f(x, y) (b) f(x, y)…

A: Givenf(x,y)=(9x2+3xy+6)4   We are required to finda. fx(x,y)b. fy(x,y) The following formulas has…

Q: Let f(z) = (1+15r cose + ar sine) +(3+ẞr sin0+6r cose), where z= r eie, be an entire function. Then…

A: Please see the below picture for detailed solution.