Write a polar equation for a conic having focus at the origin, directrix y = e = 1. r = Enter theta for 0. - 2, and eccentricity

Q: [200] Given E=1 42, determine, L3 3 1 1 the determinant of E. 2 the matrix of the minors. 3 the…

A: E=200142331

Q: Find the area under the curve y - area = 6xe-* for x ≥ 3.

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Q: Find sin(8) O√3 -|~ 2 √2 2 이틀 2 TT 5T/6 7m/6 2/3 4/3 TT/2 3T/2 ○ TT/3 5/3 _TT/6 /11/6 0

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A: Two matrices are said to be equal if they have the same order and the corresponding elements are…

Q: A lake initially contains 5000 fish. Suppose that in the absence of predators or other causes of…

A: A lake initially contains 5000 fish. Suppose that in the absence of predators or other causes of…

Q: Use the substitution z = 6 tant, -≤t≤to simplify the following integral: dz 36 +22 Note that you may…

A: By using the substitution x=6 tan t, -π2≤t≤π2 to simplify the  following integral. ∫136+x2 dx

Q: What is the rectangular form of the parametric equations? x (t) = t - 3, y(t) = 2t² — 1, where t is…

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Q: Find a function f and a positive number a such that f(x) = 3x a= √√ -6 [² f(t) at t4 a 1+ - dt =…

A: Fundamental Theorem of Calculus Part 1:   If f  is a continuous function on a,b , then the integral…

Q: 1. Solve the following DE using Variation of Parameters: (D2 + 1) y = secx tanx

A: given that (D2+1)y=secx tanx solve it by using method of variation of parameters

Q: The function Ур is a particular solution to the specified nonhomogeneous equation. Find the unique…

A: The given differential equation is;  y''+2y'+2y=24ex(cosx-sinx)  yp=6excosx y(0)=0, y'(0)=1.

Q: The following table gives the millions of metric tons of carbon dioxide emissions in a certain…

A: (a) To create a linear function that models the given data, we need to find the equation of a line…

Q: Use a graphing tool to represent the function and approximate the limit. Write an approximation to…

A: Given :- limx→0(e2x-1)x To find :- Use a graphing tool to represent the function and approximate the…

Q: 10. Solve and check by integrating factor: {Integrating factor e[2(=)α = } y '+ 2 y = 4

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Q: Determine whether the improper integral diverges or converges. [²² converges O diverges dx Evaluate…

A: Given integral is ∫1∞9x10dx The objective is to find it is convergent or divergent. Note: By p-test…

Q: A. Use the chain rule to find and as functions of x, y, s and t. Əs Ət əz Əs əz Ət = B. Find the…

A: We have, z=(x^2*sin(y)), x=(5s^2−3t^2), y=(−2s*t)

Q: The subject is: PrecalculusThe general subject is: Introduction to Calculusand the specific subject…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Solve the initial-value problem for x as a function of t. dx (t2-10t+24) dt SAN 1, (t > 6, x(9) = 0)

A: Use the separated the variable

Q: ƒ ( 1 ) = 1 ² 0 1²) find f' (2) (2 decimal places) Using the Product r

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Q: convergent (a) Determine whether each in (b) 1 L.3-²4x¹ 3 - 4x dx

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Q: What is the volume of the 3D region obtained by rotating the following 2D region around the y-axis…

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Q: (ln(t))4 dt t

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Q: Find the Laplace tranform of the ff: e3xsin4x

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Q: How many petals does the graph of the rose curve r=4sin(3θ) have? Enter your answer in the box

A: For the function, r=asinnθ    or    r=acosnθ If n is odd then there are n number of petals. If n is…

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. sin(u) tan(u) +…

A: NOTE: Refresh your page if you can't see any equations. . the given expression is, as we know,…

Q: What is the component form of resultant of 46 - 5ā? a = (1, -3) 6=(-1,2) Enter your answer by…

A: a=<1,-3>, b=<-1,2> Find 4b-5a

Q: 6) Use the Binomial Expansion Theorem to determine the sixth term in the expansion of (x + 3y)8

A: The nth term in the binomial expansion of (x + y)n is given by Tr+1=nCrxn-ryr

Q: Evaluate the integral. (Use C for the constant of integration.) 3 sin(t) dt cos³ (t)

A: NOTE: Refresh your page if you can't see any equations. . ......................(1)

Q: 10. lim 1-0 e³1 - 1 t

A: We have to find the limit: limt→0e3t-1t

Q: π Compute the definite integral cos³ (2x) sin² (2x) dx .

A:

Q: Consider the graph of the function f given below. f(x) I -2 4 B) If h(x) 2 0 -2 2 x 4 A) If g(x) =…

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Q: Find the Laplace tranform of the ff: 2x2

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Q: X-25 (x-2) √√x²+2x Converges? Dieverges? dx AND WHY?

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Q: Determine and sketch the domain of the function f(x,y)=√xy.

A: f(x,y)=√(xy)

Q: Factor the polynomial (x − 3)(x + 6)² – (x − 3)²(x + 6). Your answer can be written as A(x + B)(x +…

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Q: The owner of a skating rink rents the rink for parties at $700 if 50 or fewer skaters attend. For…

A: The owner of a skating rink rents the rink for parties at $700 if 50 or fewer skaters…

Q: Bus Econ 14.1.89 ¤ In order to study the effects of World War II on a certain country's economy, an…

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

A: f(x)=-9x2.

Q: Sketch the region then reverse the order on integration for Sx=0 Sy=x²-6x f (x, y)dydx

A: ∫x=07∫y=x2-6xxfx,ydydx

Q: 5n-2 =1\3n+4/ 100 n= 2n+11

A:

Q: The electrostatic potential on all parts a a conducting circular disc of radius r is given by the…

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Q: If v(t) = -t+2 and d(0) = -3, then d(t) = - + 2t-3. false Otrue

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Q: Evaluate the integral. (Use C for the constant of integration.) [7t sin 7t sin²(t) dt

A: Explanation:-

Q: MATCHING LIST Match each pair of vectors with their dot product. v = 6i + 7j and w = -8i + 9j v=3i -…

A: (a) given v=6i+7j and w=-8i+9j

Q: Tutorial Exercise Evaluate the integral. Step 1 [₁ 10 sin²(x) cos³(x) dx Since [10 10 sin²(x)…

A: Consider,

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A:

Q: 3. A parallelogram is formed by the vectors OA = (6, 3) and OB (-1, 1). Determine the acute angle…

A: A parallelogram is formed by the vectors OA→=6, 3 and OB→=-1, 1.   To determine the acute angle…

Q: The least common multiple of the monomials 8a³x6 4a²x6y, abx³y² is: O(a) 8a³x6y² (b) 8a¹bxy2 O(c)…

A:

Q: O Make a graphical tool to approximate the limit of the function. If necessary, round to three…

A: The limit of a function can be found by using the graph or by finding the table of values to the…

Q: The function y = Ce-2 +3 Solves the differential equation y' + 3y = -2y + 6. O true false

A:

Q: fees

A: Solving the problem