2xy-9x² + (2y + x² + 1) = 0 d.x

Q: A plane contains the point A(-1,2,5) and has direction vectors (2,-1,3) and (-3,1,5). Which of the…

A: Given:   Point : ( -1 , 2 , 5 ) Vectors : ( 2 , -1 , 3 ) and ( -3 , 1 , 5 )

Q: Evaluate the double integral over the rectangular region J 6(x sin(y) – y sin(x)) dA; R = = {(x, y):…

A:

Q: The function y = a. O a=3 O a = -2 ax4 +has a minimum at the point (√(√)). Determine the value of…

A:

Q: Consider the differential equation y 4xy (In y)² Find the solution that passes through the point (0,…

A: The given data is: y'=4xy(lny)2  To find the solution that passes through the point (0,e)

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) I sint sin(t)√1 + cos(t)…

A:

Q: Find the equation of the tangent line of the function tan (xy²) = 2xy, a J absoleto 700 nu at x = π.

A: Let's find equation of tangent line of given curve at x = pi.

Q: PLETE and RELEVANT justification to earn any points vant! shown below converge or diverge? If yes,…

A:

Q: 14. 7/4 3x fe³ sin 4xdx

A: On solving this we will get

Q: 16. dx x√√16+x²

A: To find out the integration.

Q: R, S and T are closed sets implies RnSnT is closed.

A: given

Q: Find d²y dx² d²y dx² in terms of x and y. y5 = x6 6 25 X or|c X

A:

Q: 5 1 Let f(x)= = on the interval [1,4]. For a E (1,4), construct a rectangle from x = 1 to x = a with…

A: Maximize area

Q: Svi-x2 1-x2 dx

A: We will solve the problem

Q: Q2/A) Solve the following differential equation x²(y + 1)dx + y²(x - 1)dy = 0 DE

A:

Q: F. Change the Cartesian integral to polar coordinate dy dx بولیز 11-2 حول من كان الا ال 0

A: Let's change given Cartesian  integral to polar coordinates.

Q: 12. dx Ve -1

A:

Q: Question Find the area of the region that is bounded above by the curve f(x) = (x + 10)² and the…

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Q: Find the derivative of F(x) = f (t³ - t) ³ dt. O 5 (t³-t) (3t²-1) ○ (x³ - x) 5 ○ 5 (2³-x) 4 O 3t² -…

A:

Q: 1. Find the inverse of 3x + 1 = 4. x-1 (1) y = x (2) x = y-1 10 (3) x = 3y + 1 (4) y = x+1

A: Given :3x+1=ythenf(x)=y=3x+1

Q: Find the derivative of f(x) = √5 - 4x. To enter √a, type sqrt(a). f (2)

A: The objective objective is to find f'(x).

Q: (x+3)dx 10. ·S 4x² + 4x³+x²

A: A detailed solution is given below.

Q: Evaluate the definite integral. I's 5 cos(nt/2) dt

A:

Q: Given a second order differential equation d²x dx 3: + 2x = 2e³t dt² dt dx where t = 0, x = 5 and =…

A: The given differential equation is: d2xdt2-3dxdt+2x=2e3t  where x0=5, dxdtat t=0=7.The above…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ (In(x))²6 dx X

A: topic- indefinite integral

Q: Team Alpha was on their night patrol in Mystical Forest when they suddenly noticed that a flare was…

A: here distance we have to find  a = 9.8 v0 = 5 t = 5sec S=?

Q: ,19 The estimate of an integral of of f(x) dx is given as 1860.9 using 1-segment trapezoidal rule.…

A:

Q: Maple plot + IŅ -6 Given the graph of f (x) above, find the following limits. 16 4- Ņ 0 Ņ 2 4 6

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Q: Find the slope of the tangent line to the polar curve r = 1 + cos(0) at the point specified by 0 =…

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Q: A payment of $25,000 is due today. What three equal payments, one in 2 years, one in 4 years, and…

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Q: 332. f(x, y) = x² + y-e³

A:

Q: dx e* + e* +ex 5. ・ So =

A: We can find the answer as below.

Q: A scheduled payment of $7,000 due in one year is to be replaced with two payments: the first due in…

A:

Q: The function y = a. O a=3 O a = -2 ax4 +has a minimum at the point (√(√)). Determine the value of…

A: Use derivative and find maximum or minimum value

Q: Question Define R as the region bounded by the functions f(x) = e and g(x) = e between x = 0 and x =…

A:

Q: (x - 8)dx x (x + 5)² X

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

Q: Create a symmetric equation of a line with the digits 6, 8 and 4. Does the point D (7, -1,8) lie on…

A:

Q: If f(x) = 5x (sin x + cos x), what is f'(x)? ○ 5 (sin(x) + cos(x)) + 5x (cos(x) = sin(x)) O No…

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Q: Find the area of the surface generated by revolving about the x-axis the ellipse x = acost, y =…

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Q: Biologists stocked a lake with 300 fish and estimated the carrying capacity (the maximal population…

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Q: A function y with the property that y = -y" is

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Q: Vectors: given vectors "=(-3,-1,4) and v = (-2,3,2) 2u- v Add/subtract/scalar multiplication: Find…

A: Given: u=-3,-1,4    and  v=-2,3,2

Q: The scalar equation of the line perpendicular to (x, y) = (5, 2) +r(1, -3) through the point (2, -2)…

A: The scalar equation of a line is of the form Ax+By+C=0

Q: O C. Z= (sin O D. Z= (cos + i cos Write the complex number 9-9√3 i in exponential form. z= (Simplify…

A:

Q: Find the solution of the given initial value problem in explicit form. ㅠ sin (2x) dx + cos(8y) dy =…

A: Let's solve given diffrential equation.

Q: 2. Use differentiation to find a power series representation for f(x) = 1 (1 + x)² °

A:

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse at the given po…

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Q: The width and length of a rectangle are measured to be 3 m and 5 m, respectively. These come with an…

A:

Q: Find all numbers b such that the average value of f(x) = 7+ 8x - 6x2 on the interval [0, b] is equal…

A: Value of b is given.

Q: The growth in the population of a group of rabbits is given by P(t)= 800e0.08t, where P is the…

A: use derivative for finding the instantaneous rate

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1. - eu du (6 - e4)²

A: topic- indefinite integral