Find the slope of the tangent line to the parametric curve [x = 4 cos(t) y = 3 sin(t) at the point

Q: Find positive numbers x and y satisfying the equation xy=9 such that the sum 3x+y is as small as…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 8 O 6 None of them O 2 O 4 O

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Q: Find the volume of the solid whose base is a circle with radius 12 that has cross-sections…

A: Recall that the volume of a solid, if the cross-section is perpendicularto the x axis, and its area…

Q: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 <x<3

A: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 &lt;x&lt;3

Q: The following table shows a housing index that can be used to compare housing prices in different…

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Q: A river is 2 km wide and flows at 6 km/h. Anna is driving a motorboat, which has a speed of 20 km/h…

A: In this question we have to find the solution for the following statements.

Q: Solve the given differential equation by separation of variables. e-y + e-5x - y exy dy dx

A: To find the solution of D.E.

Q: If f(x, y) = cos(2x) - x² e5y + 3y², then fxy = -10x e5y True False O

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Q: 2" The value of p for the series En=1 by using ratio test is n! -1 O 8 2 0 ( 1 O

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Q: dr/dt = -2tr, r(0) = ro

A: Solving the differential equation

Q: Two-thirds of Ariadne’s money together with five-sevenths of Brian’s money is equal to three-fifths…

A: given:-Person A has $2.40Person C has $11.25To calculate the person B's money.

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550…

A: Solution of given question is written in below steps.

Q: Answer of each of the question about the graph

A: To find out the following limits.

Q: 11790 round of to nearest 10s And hundreds??

A: 11790 round of to nearest 10s And hundreds??

Q: B. (Exact Equations) Find the general (or particular) solution of the given differential equa-…

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Q: Evaluate the following integral using inversion of order: So ²5 dyda Remember to show complete…

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Q: 9. S²₁ 22x Ẵ é đi

A: Here is the method to integrate by parts,

Q: .1 The evaluation of 2xe³ dxdy is 3e-1 O e-3 -1 e- None of them O -3e O

A: To find out the double integration.

Q: 7. * (se + ex)dx

A: The given integral is xe+ex, limit from 0 to 1.

Q: Find the inflation rate from 2006 to 2007. Assume that all prices have risen at the same rate as the…

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Q: Given the equation of the curve y = 0.1(1600-x²). Find the area bounded by the curve and the x-axis.…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: Let a be a real number. Evaluate the following integral: So fx + y dady -1

A: when using double integral we treat one variable as a constant while integrating with respect to…

Q: Part 3 of 5 f(-2) = Part 4 of 5 f(0) = 0 Part 5 of 5 f(4) = 0 X X X S S S

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Q: で 34 2- 1- 2

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Q: 1 - cos(40) 2

A: We have to simplify the expression  1 - cos4θ2.

Q: Use the derivative f'(x) = (x - 1)(x + 2)(x+4) to determine the local maxima and minima off and the…

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Q: Problem 3. Solve below definite integrals b) [3te (b) 3tet²+1dt, In(x) 23 ©f! -dz, (d) TH In(x) dr.…

A: ∫ eu du = eu +C Note : As per our Guidelines , we can solve first question as your parts is not too…

Q: Solve the initial value problem y" + 6y' + 9y = 0, y(−1) = 5, y'(-1) = 2. y(t): =

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Q: 2. 6 cos 2x dx

A: To evaluate the given integral.

Q: Evaluate the following integrals by first reversing the order of integration. 8 2 S³ S²₂ √² + 1 de…

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Q: Q22. determine the family of curves that is orthogonal to the family Zy²+3x²=X when z > O and yea.…

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Q: At the end of a year, the gross debt of a country stood at about $17 trillion. Express this amount…

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Q: 10. Use the definition of the limit of a sequence to prove that (3n+1 lim 2n + 5/ for all positive…

A: we have to use definition of limit of sequence.

Q: Let y = f(x), where dy f(x) = = 3 Find the differential of the function. x³ + 3 3 X

A: Find the differential of function

Q: 4. If f(x) ≥ 0 for all x € [a, b] and a. 0 b. A b [²² f = A, which of the following is the value of…

A: We can solve the given integral.

Q: Sinize da Cos2x-5 Cosse +4

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Q: 8 mi P 4 mi

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Q: 6. Show whether the series is convergent or divergent. Σ in! n=0

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Q: Rewriete rhe following equations into standard form amd dentify the vertex, focus, axis the…

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Q: R is the region bounded by the functions f(x)=3−cos(x) and g(x)=sin(x). Find the area of the region…

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Q: X 3- Ssin ² x dx ។

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Q: 2. Solve the following differential equations using variation of parameters: (i) y" + 4y = 4 tan 2x,…

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Q: Evaluate the following integral using change of coordinates: SR S x³ + xy² dedy where R is the…

A: Solution given below

Q: Let a be a real number. Evaluate the following integral: So f +ydady

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Q: Use the Midpoint Rule with = 4 to approximate 0 tan x dx.

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Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: True O False ܡܢ 6 edx

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Q: Prove the statement using the ε, δ definition of a limit. limx→3 (4x − 5) = 7

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Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify (see…

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Q: Perform a first derivative test on the function f(x) = 2x³ + 3x² - 36x +4; [-3,5]. a. Locate the…

A: To find out the critical points, maximum and minimum and absolute maximum and minimum.