dy (10) (8у — х?у)+x- ху? — 0 dx

Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS. 1. siny dx + (x - sin? y)dy=0 2. x + ( 1+x)y = e -× sin2...

A: First order differential equation : Consider the first order differential equation                  ...

Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) = x+4, g(x) = 2x - 7x-4 ... (fo g)(x) = 2...

A: As we know from the definition of composite function; fogx=fgxgofx=gfxfofx=ffx   Given: fx=x+4, gx=2...

Q: SLet R be the region in the ay plane boundedd by the curves y=X=8x and y=-6x+3. Set ye, but do not e...

A: We need to evaluate integral for area.

Q: LESSON 11 SESSION 3 3\ Two garden beds are shown. The perimeters of the two gardens are equal. a. Wr...

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Q: 5. Evaluate the following and give at least 5 non – zero terms: п-1 n(n + 1) x + (2n – 7)(2n + 9) dx...

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Q: Verify that u is a solution to the equation ugx + Uyy + u zz = 0. u(x, y, z) = e4z+3y cos(5z)

A: Follow the procedure given below. 

Q: Find the derivative of the function. Simplify where possible: 32) y=tan^-1(x-(sqrt(1+x^2)))

A: some important Derivatives :   1. ddxtan-1x = 11+x22. ddxxn = n*xn-13. ddxx = 12x4.ddxconstant = 0

Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane...

A: Assume distance of the airplane from the radar is s (say) height h(say) and horizontal distance of a...

Q: (In 1ºx+ 4lnx) *dx

A: Given: - The integral is, ∫(ln10x+4ln(x))8dxx To find: - The solution of the given integral. include...

Q: 2. x10 – 3x6dx tane d0 In (cose) 3.

A: Here we have to solve the given indefinite integral.

Q: Express the following limit as a definite integral. n 1 lim Σ -Axg where P is a partition of [2,3] 1...

A: From the definition of the definite integral of f from a to b , we have               ∫ab f(x) dx =l...

Q: A swimming pool is 12 meters long, 6 meters wide, 1 meter deep at the shallow end, and 3 meters deep...

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Q: 8) Which of the following functions are solutions of the differential equation y" + y = sin x? a) y ...

A: The given differential equation y''+y=sin x

Q: Determine the following limits. If infinite, specify co or -co. If an answer does not exist, explain...

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Q: In the integrand is (A) True B) False

A: Topic = Integration TRUE   The integrand is , the function being integrated in either a definite or ...

Q: Question 1 Let f (x) = x³ + 2x³ + 7x + 1 Find (f -1)' (a) for a = 1 . O (f -1)' (1) = 4 O (f -1)' (1...

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Q: 6* – 2 - lim x→0 ekx +7 k = (If any value of k will work, enter any; if none will work, enter none.)...

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Q: dx the integrand is In x2 (A) True B) False

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

A: Solve the given lpp  Minimize c= 0.3x+0.2y  0.1x+0.2y>=1  0.3x+0.15y>1.5  10x+10y>=80  x&gt...

Q: A tank is leaking at an increasing rate as indicated by the data below. Use the table to answer the ...

A: Solution: a) upper limit after 4 hours

Q: (a) Find the value of k. Is the population increasing or 32. Population The populations P (in thousa...

A: We will find as shown below

Q: Find the general solutions of the following differential equations. d²y_2 - 2 + 4y = 0 (a) dx? d'y d...

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Q: Evaluate e dV where E is enclosed by the paraboloid z = 2 + x² + y², the cylinder æ? + y² = 5, and t...

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Q: For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. es 7 1 f(x) = g(x) =...

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Q: Find the Taylor polynomial of orders 0, 1, 2, and 3 generated by f at a. 37 f(x) = sin x, a = 4 Po(x...

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Q: Let f(x) be a function and let a be a real number. Determine if the statement is always “True”; othe...

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Q: Divide in the indicated base. 2,J113, RI 24 1134

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y' = sin x(sin x + sin x cos x -y)

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Q: Learning Task 3: Give the COTERMINAL for each angle. ONE NEGATIVE AND ONE POSITVE 1. 128° 2. 382° 3....

A: Given:- 128°  382° 535° To find:- Give the COTERMINAL for each given  angle. ONE NEGATIVE AND ONE ...

Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

A: We need to find pollution level.

Q: Finding the length of the curve with parametric equations  x(t) = 3t2,  y(t)=2t3,  0 ≤ t ≤ 2

A: Given: - The parametric equations are, x(t)=3t2, y(t)=2t3, 0≤t≤2 To find: - The length of the curve ...

Q: a. The area of the square is square units. (Type an integer or decimal rounded to three decimal plac...

A: Follow the procedure given below.

Q: A model of a building is in the shape of a cube with a square pyramid on top. Each edge of the cube ...

A: Volume of the model is equal to sum of the volume of Cube and volume of pyramid

Q: Use this definition to find f'(a) at the given number a. f(x) = V5x + 1, a = 3

A: First we find out f'(x) then put x=a=3 in f'(x).

Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

A: Note :- This is multiple subparts questions. And according to our company guideline we can do maximu...

Q: The equation of motion of a particle is s = t – 4t3 + t2 - t, where s is in meters and t is in secon...

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Q: For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. 1-X 1 f(x) = g(x) = ...

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Q: csc'x- cotx + tan'x Cosx - sin?xcosx

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Q: Find an exponential function of the form P(t) = Pon' that models the situation, and then find the eq...

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Q: Two forces, with magnitudes 10 N and 15 N, act on an object at 40° to one another. Determine the res...

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Q: xdx Evaluate: 2 - x2

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Q: determine the value of k which will make h' (π/4)=6 when h(x)=In(cosx)+kx. a. 6 b. 5 c. 0 d. 7

A: Given, hx=lncosx+kx We have to find the value of k for which h'π4=6  

Q: D. Given the following polar equations, find the eccentricity and identify the type of conic; write ...

A: We know that the polar form of a conic with directrix x=±p and the focus at origin has form: r=ep1±e...

Q: discrete math How many 5 digit numbers can be written with the digits {1, 2, 3, 4, 5, 6, 7, 8} if t...

A: Given set of digits={1,2,3,4,5,6,7,8}  number of digits in main set n=8 We have to make 5-digit numb...

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by the curves ...

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Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplic 2 at x = 2 and x...

A: roots : x=2,2,0,0, -5 Factors are given by:x-2,x-2,x-0.x-0,x+5hence P(x)=Product of factors P(x)=(x-...

Q: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function...

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Q: Homework: Unit 5 AS: Trigonometric Functions A function value and a quadrant are given. Find the oth...

A: We will find the value of other five trignometric function. Cot θ = -4, Quadrant ιν

Q: S In(x² + a) dx

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Q: Approximate V(2.03)² + (0.8)² + (2.1)² using a linear approximation.

A: To approximate: 2.032+0.82+2.12 Consider a function, fx,y,z=x2+y2+z2 The linear approximation of a f...