Determine the two-variable function F(x,y) if Fy(x,y)=ysin(pi x y)+x given that

Q: 2. Use the given graph of y = f(x) to sketch the graph of its derivative f'(x). -5-4 -3 -2 -1 20 16…

A: We need to graph the derivative function. NOTE - As per Bartleby's guidelines we can solve one…

Q: Describe the surfaces defined by the following equations  a. p(the greej letter rho) = 13 b.…

A: a. ρ=13 This equation describes the set of all points 13 units away from the origin (0,0,0). So,  it…

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: Given curves:- y=1x,y=0, x=1 and x=4

Q: 4. Find the equation of the tangent to the curve at the given point. (a) y = 2x³ — x² +1, (1,3) 2…

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Q: could you re write the solution more claerly again please

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Q: Find dy by implicit differentiation. dx √xy = x²y + 29 dy dx X

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Consider the equation of the plane x + 2y + 3z = 12. (a) Find a normal vector to the plane. (b) Find…

A: As per our guidelines we are allowed to solve only 3 sub parts. kindly repost others. THANK YOU.…

Q: Given the following functions: f(x) = = a) b) Domain: 1 x-1 Check Answer and g(x) Find the…

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Q: Find the solution of the differential equation r" (t) = (e-9,² – 1, 1) with the initial conditions…

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Q: Given f(x) = 6/x find f’(x) using the limit definition of the derivative. f’(x)= Please explain step…

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Q: 3 a) The displacement (in meters) of an object moving in a straight line is give by s(t) = 1+2t…

A: Given The displacement of an object  st=1+2t+14t2

Q: Identify whether the limits of the following does exist or not. If yes, find the limit and if not,…

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Q: 1. Use the graph of f(x) shown to the right to find the following. If a quantity does not exist,…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: The scalar multiplication of a vector by a positive value results in another vector having the same…

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Q: Your firm is considering adding a product line. The accounting department has determined that the…

A: Topic- functions We are given Cost function :C(x)=15x+2135 Revenue function :R(x)=50x to break even:…

Q: For the function, find the points on the graph at which the tangent line is horizontal.  y=4/3x^3…

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Q: Find a nonzero vector parallel to the line of intersection of the two planes −(3x+5y)=1−(3x+5y)=1…

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Q: Suppose m and n are positive integers. Show that 3m + 3" + 1 cannot be a perfect square. (Hint: It…

A: we will do as per the question.

Q: Evaluate the multiple integral 2x [ [² r dz dy dr Do not include spaces.

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Q: The anti-depressant fluxetine has a half-life 3 days of about in the body your answer to the nearest…

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Q: Express C2 in the form of nCr.

A: Given problem:- Express C2 in the form of nCr.

Q: Question Find the antiderivative of r' (t) = (e4t, e-2t) that satisfies the initial condition r (1)…

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Q: The equation of a rational function is given below. f(x) =   +1   Which statement describes the end…

A: Topic:- function

Q: 9. The density function of a random variable X is expressed as f(x) = e4-x for x > 4. Find the…

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Q: Solve for the particular solution of the differential equation below when s=2 and 0=π/4 tanede +…

A: Given tanθdθ+scos2θds=0 when s=2 and θ=π4

Q: .) y = 4x ³-2x+1 .) 9 8 = X 3.) √√x+2 X 2x+1 X+ 2 = 4

A: We have to find the whether the given is a rational function , a rational equation ,a rational…

Q: In Exercises 13 - 16, use the following information to deter- mine the limit of the given sequences.…

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Q: 3. Find the limit: lim y∞ y² + 2 5y-6

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Q: Prime Interest Rate The function P, whose graph follows, gives the prime rate (the interest rate…

A: A function is said to be discontinuous at a point x=a, if we see any gaps in the graph of the…

Q: lim x→−2 [x²-2x+5] 6x-1 lim = √√x² x→−2 √x² - 2x + 5 lim = (5(x² − 1)² – 10) X-2

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Q: Solve for the particular solution of the differential equation below when s=2 and 0=π/4 tanede +…

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Q: 4. Find the value of the constant b for which f is continuous at a = - -1 and determine f(-1). 5 x <…

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Q: Evaluate the multiple integral X COS [ f(1/4) y dy de sin(5/4) 2 Enter the numerical value accurate…

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Q: What is the closed form for the sequence (bn) that has the first four terms -16,64,-256,1024

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Q: 3. f(x + h) - f(x) h [Select] represents

A: Secant line is a name given to the line which passes through any two points on the given curve.

Q: 3. y = sin (2x)sin (x) + cos(2x) cos(x)

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Q: In Exercises 17 -28, determine whether the sequence con- verges or diverges. If convergent, give the…

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Q: A function is a ratio of quadratic functions and has a vertical asymptote x = 5 and just one…

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Q: Let f(x) = 6x3 and g(x) = x² – 8. Compute the following functions. 1. f(g(x)) = | 2. g(f(x)) = 3.…

A: The functions are given by fx = 6x-3 and gx = x2-8 To determine: The expression of the following…

Q: In Exercises 7-14, a series an is given. (a) Give the first 5 partial sums of the series. (b) Give a…

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Q: The y' for y = (x³ +

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Q: Let f(x) = (1 + 7x²)(x - x²). Find the derivative by using the Product Rule. f'(x) = Find the…

A: Given that fx=1+7x2x-x2Solution :product rule of derivative…

Q: (a) Find the average rate of change in f(x) from: (i) x = 0 to x = 2 (ii) x=-3 to x = 1

A: As per the instruction, we will be answering the first question. Given: For (a), The average rate…

Q: Problem 1: Using differentials, approximate the change, in terms of 7, in the total surface area of…

A: Radius of cylinder r= 3units  Altitude of cylinder h= 5units  dr/dt=0.2 unit , dh/dt =-0.1 unit…

Q: An implicit equation for the plane passing through the point (5,4,−2)(5,4,−2) that is perpendicular…

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Q: = e Determine the numerical value of dF of the function F(x, y) -3y cos(x) given that x = 1, y =…

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Q: 115 = S +3 (x+1) 8 dx

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Q: The solution to 0.15t 200-30e

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Q: If 3x - 7 ≤ f(x) ≤ x²-3x+2 for x ≥ 0, find lim f(x). X-3

A: Given inequality:- 3x-7≤fx≤x2-3x+2

Q: 40/2 x 30 =

A: Topic = Algebra