Identify and sketch the domain of f(x, y) √x-y In (1 + y - x²)

Q: The function s(t) describes the position of a particle moving along a coordinate line, where s is in…

A: We have to use a concept of differentiation. According to our guideline we are supposed to answer…

Q: Find a parabola with equation y = ax^2 + bx + c that has slope 10 at x = 1, slop -18 at x = -1 and…

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Q: x² tan-¹(2x) dx

A:

Q: Evaluate each limit, if it exists: x²-4 a)lim 22-4 X-2 1-x² b)lim x-1 1-x x²-4x x-0 x(x-1) c) lim

A: Here we have to find the limit of the functions.

Q: 16. The y''' of the curve y = v ax

A: We know, ddxxn=nxn-1, for any real number n.

Q: hi isn't f(-4), not f(4)?

A: we can solve it by the observation of graph.

Q: x - sin ((x − 3)²) x² + 1 is defined near x = 3 but not at x = 3 and satisfies 2. Let f(x) = "" let…

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Q: Urgent!!!

A: Given :-U=set of all real numbersp(x): x≥0q(x): x2≥0r(x): x2-3x-4=0s(x): x2-3>0

Q: The equation of motion of a particle is s= t3 - 27t, where s is in meters and it is in seconds.…

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Q: Consider the function y = f(x) = x² + 4x + 4 and the x-value xo 8. (a) Find a formula for the slope…

A: Topic- slope of a tangent line we are given a function, f(x)=x2+4x+4 and x0=8

Q: Which of differential equation : Show your solution. A. 4- e the following X is the 3dx ху + general…

A: given differentail equationxy3dx+ex2dy=0

Q: Find an equation of the plane passing through the points (-1,2,0), (2, 3, 6), and (-1, 0, 2). Use…

A: Equation of plane passes through three point using vector operations

Q: 24x√2x + 11 dx Of³, 4u √u du -2 (u-11) √u du S27 (u-11) √u du ₁4(u-11) √u du

A: To find out the correct substitution.

Q: Solve the given linear differential equation. Use C as the constant of integration in your solution.…

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Q: Use any of these formula (an = 1/2 (a₁ + an) or an = /[2a₁ + (n − 1)d] to solve for the sum of the…

A: Given :an=n2a1+an an=n22a1+n-1d use Sn for sum1. Sum of first even counting numbers :2, 4, 6, 8.....…

Q: If f(x) = ƒ'(x) = 4x(sin cosx), find

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Q: Q2. Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) =…

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Q: The function h(x) defined as: f(x)= = 1 x + 7 can be expressed in the form f(g(x)) where g(x) = x +…

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Q: √9x + 1 3x - dx

A: Given :∫9x+133

Q: When purchasing a heat pump unit, an installer is given discounts of 12%and 2%. The unit is priced…

A: Given, Marked price (MP) of heat pump =$3400 Discounts 12% and 2%

Q: 1. Find the value/s of x of the curve y = 3 35x where y'=y"

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Q: Find the distance from the point (4, -3, 6) to the plane 3x-5y+z=17

A: Given : Equation of the plane is                    3x - 5y + z = 17 And the Point is = ( 4, -3, 6 )…

Q: B: use Lagrange interpolation formula to determine the relationship between the force and velocity…

A: We can solve it by Lagrange Interpolation Formula given below

Q: 7. Use Midpoint approximation with n = 6 equal subintervals to approximate the following. 1 ln(x…

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Q: Q1. Find the general solution for the following differential equation: -y² (x²ex² - y²)dx + xydy=0

A: Solution is given below:

Q: dr de r= (7 + sec 0) sin 0 Find dr de ||

A: See this solution in below.

Q: . The population of Bougainville exponential function P(t) = ae use it to calculate when the…

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Q: Find an equation of a plane containing the line r = (0, 4, 4) +t(6, -4, 2) which is parallel to the…

A: Given line equaltions:- r=0,4,4+t6,-4,2 Let b→ is vector in which given line directed ⇒b→=6,-4,2 and…

Q: Find the slope of the graph of the equation at the given point. (If an answer is undefined, enter…

A: Our Aim is to find the slope of the graph of the equation xy-3y2=8-(i) at the given point (14,4)

Q: 5. A culture contains some bacteria, with the population increasing exponentially. The culture…

A: Let's find bacteria function.

Q: sec² (In x) cos(lnx) dx x

A: Given :∫sec2lnxcos6lnxxdx

Q: 2-L-¹ [ 6 2S-8 - 3-2S 95²-16 + 8+6S 4 S²+9

A:

Q: Find the differential equation of families of straight lines with slope and x - intercept equal. a.…

A: To find differential equation with given conditions.

Q: For the equations below, q is the total number of units produced per day by m employees of a…

A: Given: q=500m-m250=10m-m250 ;p=-0.3q+80  =-0.3×10m-m250+80  =-310×10m-m250+80  =-3m+3m2500+80…

Q: An invoice for $120,700 dated May 26, 2014 for a shipment of furniture has payment terms 1.5/15,…

A: Concept Used: 1.515EOM = There will be 1.5% discount on invoice amount if the payment is made by the…

Q: 5. S sin(3 ln x) X dx

A: Need to find out the integration.

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x)=x² + 3x-7 f'(1)=…

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Q: b. y = 2x² - 1 x + 1

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Q: Urgent!

A: Given statement is as px:x2≥1

Q: B: Fit a second order polynomials to the data in the following: X Y 1 4 3 8 4 10 5 12 6 13 10 69 8…

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Q: Determine whether (a) through (c) are true, and give an explanation or counterexample. a. For linear…

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Q: Decide if each set of inequalities provides sufficient information to determine lim f(x), and if it…

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Q: Refer to the graph of y=f(x)=x² + x shown. a) Find the slope of the secant line joining (-3, f(-3))…

A: The function is given by fx = x2+x The formula of the slope of the line joining x1, y1  and x2, y2…

Q: Suppose that f(5)=1,f'(5)=7,g(5)= -8, and g'(5) = 4 Find the following values. (a) (fg)'(5) (b)…

A: Suppose that f(5)=1,f'(5)=7,g(5)= -8, and g'(5) = 4 Find the following values.   (a) (fg)'(5)   (b)…

Q: y = √x = 1 -

A: Let us take f(x)=x-1. Now,            =12x-1x-1' =12x-1· 1=12x-1

Q: 2 .  Approximate  6 4 1 ln(x)  dx  using the midpoint rule with four subdivisions to four decimal…

A: Given :∫461lnxdxn=4

Q: Evaluate each of the following expressions using the given table of values. -1 0 -2 1 0 -2 1 0 (b)…

A: Given:  A table of values is given. x -2 -1 0 1 2 f(x) 1 0 -2 1 -1 g(x) 2 1 0 -1 0 To…

Q: Let y=e¯*(Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

A: As 'y' is the solution of the differential equation , so it satisfied the given initial conditions.

Q: Let y=e¯*(Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

A:

Q: Find for the following function. dy dx y = 11 2 cos x 1 – sin x

A: The given function is; y=2 cosx/(1-sinx).