Replace the polar equation r. sin (0+ 1 (0+²) = 2 to Cartesian equation

Q: Let T: R³ → R³ be a linear transformation such that T(1, 0, 0) = (4, -1, 2), 7(0, 1, 0) = (1, 3,…

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

Q: Solve the following differential equations of y"+7y' +10y=2e³x

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Q: 1. Identify the equations of all the linear asymptotes of f.

A: There are three different types of asymptotes for a function fx: (i) Horizontal asymptote: If we…

Q: 1+tan x

A: We have to find the integral.

Q: 4 Identify the center of the conic section whose equation is x 2 +y 2 + 6x - 4y - 12 = 0. (-6, 4)…

A: The given equation is; x2+y2+6x-4y-12=0   As we know that; The general form of equation of the…

Q: A= and B = . Find a vector perpendicular to both A and 2A - BO O O none of the above

A: A vector perpendicular to A and B is :  C = A x B

Q: Solve the given differential equation. All solutions should be found. dy 3x² - 7y - y³ 7x + 3xy² dx…

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Q: 2. Specify on which intervals is f increasing/decreasing and where the graph of f is concave…

A: First derivative test: If the first derivative of the function is positive over an interval, then,…

Q: II. Find dz Do not simplify your answers. 1. log,(√2x² + y) + tan(x − ³) = sin¹(x² - 1) +

A: We can solve this as follows:

Q: Find the volume generated by revolving the given bounded plane area about the line. Use shell…

A: Volume

Q: 3x

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Q: [2 If A = 3 4 1. 3 2. 6 3. 8 4. 0 x-3 -2 -1 x-27 -1 -5 is a symmetric matrix then x 4

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Q: Find an equation of the plane with the given characteristics. = The plane passes through the point…

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Q: Select the conic section represented by the equation. x 2 +y 2 + 6x - 4y - 12 = 0. circle point…

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Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Center (4, 6)

A: Given equation of circle is    x 2 +y 2 + 4x + 6y - 12 = 0   Now centre of circle is given by…

Q: Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that…

A: We have to find the probability.

Q: 4d³y-13 +6y=0 dy dx3 dx

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

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Q: 1. ) cos (4) COS -π/2 f/² sin (1) sin (²) dx (Consider initially the first 2 terms)

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Q: [₁x³√x² + 3dx x-3 2

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (1,…

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Q: 7. lim y→∞ y² – е6 y 4y² + e7y

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Q: Find the area under the curve y = Find the average value of y = 7x³ over the interval [0, 4]. 7x³…

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Q: Find tan (θ) given that sin (θ) = 1/3 and θ is in quadrant II.

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Q: 7. Do as indicated. 1 1. Let f(x)= = Find the equation of the tangent line to the graph of f'(x) at…

A: This question is related to straight lines, we will solve it using given information.

Q: 2x2 40. Determine which of the following is the integral off 5 cos x dx. a. -5 sin x + C c.cosx+C b.…

A: To evaluate the values of given integrals.

Q: Let Dx be the linear transformation from C'[a, b] into C[a, b]. Find the preimage of the function.…

A: We have to solve above question and find preimage function

Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 7 dx x² + 2xy…

A: To find the solution of given differential equation in implicit form.

Q: f(x,y) = 3x-2y. R÷ the circle x² + y² = 1

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Q: ♫/² sin ( cos() sin (²) dx (Consider initially the first 2 terms)

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Q: [w (1-32)] 3w 11. lim w In 1 In W→∞

A: LetL=limw→∞ wln1-23wFor L hospital L=limw→∞ ln1-23w1wNow apply L hospital ruleL=limw→∞…

Q: Using production function Y = K1/2 1/2 and using the information below: Relative to US column 4…

A: Solution of the problem as follows

Q: dy II. Find Do not simplify your answers. . dx 2. y= tan-¹(cosh.r) (sin²r) (sech r)secr [use…

A: Given y=tan-1( cosh x)( sin2 x ) (sech x)secx

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2x 3x lim x-2- (-²-2- -3X=42) x -…

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Q: ست مارت منطقه مصرف سرت

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Q: An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5…

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Q: 2. Show that the series is conditionally convergent. n=2 cos(nx) √n ln n

A: Solution of the problem as follows

Q: π/4 ²dx (x²+4)5/2 (Use trigonometric substitution)

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Q: rπ/4 x² dx (x²+4)5/2 (Use trigonometric substitution)

A: To evaluate the given definite integral.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: 12. -s-7 (s+1)(S-2)

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Q: 2. y = tan-¹(cosh x) (sin² x) (sech x) secx [use logarithmic differentiation]

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Q: IV. Do as indicated. 1. Let f(x) = where = 1. 1 Find the equation of the tangent line to the graph…

A: Let's find.

Q: 49-52 Sketch the curve and find the total area between the curve and the given interval on the…

A: We have to find the total area between the curve and the given interval on the x-axis.

Q: Integrating Factor by Inspection: 5. (xy-2y²)dx - (x²-3xy)dy = 0

A: (xy-2y2)dx-(x2-3xy) dy=0x(y dx-x dy)-2y2 dx +3xy dy=0dividing by xy2;(ydx-x dy)y2-2x dx +3y…

Q: if any. Find the absolute extremum point (s) of f(x) = el-cos on [-],

A: f(x)=e1-cos xf'(x)=e1-cos x ddx(1-cos x)f'(x)==e1-cos x (sin x)f'(x)=0e1-cos x (sin x)=0e1-cos x ≠0…

Q: BBBBBBBB TX 10 and the lines x = -2, x=2 (E) 24.923 B shaded region in the figure above is bounded…

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Q: V. Given: -2, if x ≤2 f(x)-[2x-5]. if 2 3 1. Determine if f is continuous or discontinuous at z=2…

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Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.)…

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