Consider the ODE: (2xsiny)dx + (x² cosy + cosy)dy = 0 Solve the ODE by separation of variables (as in Section 2.2). b. Show that the ODE is exact, then solve the ODE as an exact equation (as in Section 2.4).

Q: Find the area of the shaded region. 4 f(x)=x²-8x³+21x², - 8x³ +21x², g(x) = 6x + 36 The area is.…

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Q: Write a formal proof of the following statement. Don't forget to verify each step of your proof. in…

A: answer is in next step .please give a like!!

Q: (22²)⁰+ (2⁰). (2²)⁰= 2 O True O false

A: Recall:  a0=1

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A: The veloctiy of a moving objcet is v(t)=t2-2t2 in meters per second.

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Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

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Q: 7* +(7)* 2 7. If A. 2 = 1 then x= B. 4 C. -1 D. 0

A: using substitution and any number having power 0 is equal to 1.

Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x- (x²-3x - 4)dx…

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Q: Find for each pair of functions. dy dt y=x² - 6x₁x=t² +1 dy * dt

A: Solving the problem by doing the derivative.

Q: 2) X 144 + (y - 5) - 16 = 1 ||

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

Q: Find lim [x csc(x)] as x approaches zero.

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x--3 x-1 (...) a. Find lim f(x)…

A: Limit of a function at a point will exist only if right hand limit is equal to left hand limit of…

Q: 2.f(x) = = x3 3. f(x) = x tan x 4.f(x) = +₁₁ 4* x-1 1 x7

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Q: (x − 6)²(y+3)² + 36 25 = 1

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

Q: 3. F(x)= 4x4- 6x²+1 is not even function. O True O false

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Q: -√12 √√3 √9 B. V3 10- 7- 12 A. 3 О А О в О с O D X ... С. 1 التركية D -1 الإنجليزية

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Q: Differentiate. 3 f(x)=x In 5x f'(x) =

A: The derivative of lnx is 1/x

Q: 2. Cambie a coordenadas rectangulares las coordenadas (3,π/2, 2π/3) a. (0,3√3,-3/2) b. (0,3√3,3) c.…

A: Solution: 3,π2,2π3

Q: IF y = u+ + 3u2 & u = 2x Find dx

A: Chain Rule of differentiation : If y=f(u) and u= g(x) , then         dydx =dydu.dudx

Q: 1. Given the graph of f(x) at the left, determine the following: a. ƒ(2) b. lim f(x) x-2 C. lim f(x)…

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A: Given :Atmospheric pressure : P=14.7 e-0.21xx= number of miles above sea level

Q: NÁW [1 2 Find A¹ of The Matrix A= 3 2 -1 [3 1

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Q: 25 2=9. - Maximize Q=xy, where x and y are positive numbers such that x +- and y = The maximum value…

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Q: cular el trabajo cula hasta el punto 4,7,5). Si la magnitud y dirección de la fuerza están dados por…

A: Given p =(0,0,0) andQ=(4,7,5) Then PQ= < 4,7,5> also force F is given. F =<1,4,8>

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Q: IF y = u+ + 3u2 & u = 2x 64x3 + 30x 8x(8x2 – 3) الخيار رقم 1 خيار 3 Find dy dx 8x(8x2 + 3) 8x(8x3 +…

A: We can find the derivative as below.

Q: I Find A of The Matrix A: 229232 1274252 23kg ① 11 221 312 미시 2097 175 1225 1pisuall O 3

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Q: Apply the second derivative test to find all relative extrema. (c) f(x) = 1

A: To find the relative extrema first we  find the critical points. The critical points are the values…

Q: How can the shares be divided among 30 people when the total amount is 6 million and how much is the…

A: Solution: Total Amount = 6 million Total people = 30

Q: Let f(t) 3t* Then f'(t) = 7t + 7e'.

A: SOLUTION-

Q: ! If 2* ((4x-1)/5) =3 then x = 1 17/8 O 0.1 O -0.1 * 5 100 160 500 25 O +1 O -1 O +1,-1 O None of…

A: We have to find the values of the following equation.

Q: Suppose the semicircle shown to the right is revolved about the x-axis to generate a sphere. Let AB…

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Q: The graph of a derivative f' is shown to the right. Use the information in the graph to determine…

A: The graph of the f'(x) is given as

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Q: 3. Reduce 9x² +9y2 - 12x - 24y - 5 = 0 to the standard form of the equation of a circle.

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Q: 12. Why does working with a special linear system (i.e. an n by n linear system of equations whose…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 7x² + 4x +7 S™x -dx…

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Q: use differentials to approximate 1. 64 .05 2. e^0.99 3. square root of 101 6 the value

A: Solution is here

Q: The graph of one complete period of a sine curve is given. y WebAssign Plot 3 4 4 (a) Find the…

A: The graph of one complete period of a sine curve is given as

Q: dy II. Use the Inverse Function Rule to find (show your complete solution) dx 1. x = y + y² + y³

A: Given

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A: ∫-12 4x+5dx

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Q: the graph shown, identify a) the point(s) of inflection and the intervals where the function is…

A: Given query is to find the point of inflection and  interval where concave up and adown.

Q: 7+(7) 2 7. If А. 2 О А О в О с O D = 1 then x= В. 4 с. -1 D. 0

A: Given query is to find the value of x.

Q: Trig Identities Practice Use fundamental identities to simplify the expression. Basic Trigonometric…

A: 1) csc(theta)/sin(theta) 2)cot(theta)tan(theta)+sin2(theta) /cos2(theta)…

Q: (242²-121²) 242*121 O 1 O 2/3 O 11/3 O 3/2 ||

A: This question is based on formula  a2 - b2 = (a-b)*(a+b)