Consider the following graph of an ellipse. y. 10 15 10 -5 10 15 -5 10 -15 -20 Find an equation for the ellipse. Equation of the ellipse What are the foci of the ellipse? Enter your answer as two ordered pairs, separated by a comma.

Q: Find equations for the tangent plane and the normal line at point Po (Xo.Yo.Zo) (1,2,0) on the…

A: Let,  ϕ=-8cosπx+3x2y+exz+5yz-15∇ϕ=i∂ϕ∂x+j∂ϕ∂y+k∂ϕ∂z…

Q: the position function, in meteres, of a particle that moves along a straight line is…

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Q: Describe the graph of the equation. r = (5 – 21) i + 11tj O It is a plane in 2-space through the…

A: In this question we have to describe graph of equation.

Q: cosh? Vx dx 4-) a csch vx vx csch vx

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Q: Q3/ Find the area of zone bounded by curves: y= x? , y= 3x+8

A: Given

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = e"i+e-tj K(t) =

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Q: Given that yı 1 = = 3e is a solution of the differential equation y" + 3y = 0. Then, by using…

A: Follow next step

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Q: Problem 2. Which gives the Laplace transforms of the given time-domain function? -2.5 In…

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Q: 5. S dx

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Q: x +1 Evaluate the integral dx. Vx2 + 2x + 3

A: Note: for given integral none of the option is correct match.I have solved as per integration by…

Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the laplace…

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Q: Question 5 of 10 r(x) = cot2(3x² + 1) Select the correct response -6x2 csc(3r? + 1) cot (322 + 1)…

A: r(x)=cot23x2+1Differentiate w.r.t.xr'(x)=ddxcot23x2+1Apply chain…

Q: 17. Graph the line that passes through the given point and has the given slope: 5 (-3, -2) т%3D

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Q: #2. Determine if the function g(x)-3x+5x is even, odd, or neither (a) using algebraic approach, (b)…

A: Odd even function

Q: 2x4 h(x). 5x3 + 6 Select the correct response:

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Q: lamda A= ay %D MD 10

A: Given λ=ay/MD

Q: 6. A square plate 3 ft on each side is submerged with the top side parallel to the surface, 5 ft…

A: This is a problem related to force exerting on square plate by water. Based on Archimedes principal…

Q: Verify Green's Theorem by evaluating both integrals v dx + x* dy = // aN ƏM dA ду əx for the given…

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Q: 4-S cosh ? Va dx Vx csch vx

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Q: cosh? V 4-S dx Vx csch vx

A: We have to find given integral.

Q: 3. Compute the f(x, y) = 4x³ + 6xy² R=[1,3]x[-2,1]. iteration for the function on the rectangles

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Q: Determine all the critical numbers of the following function: f(x)= x² + 10x+25 a. None of these. b.…

A: Let us consider a function f(x). To get critical points of f(x) we put f'(x)=0

Q: p(x) = sin x cos x %3D Select the correct response: O tan x O cos r – sin? r 2 O sin? r - cos? a x –…

A: To find the derivative of given function.

Q: t2 + 5 1 lim →+∞\ 9t2 + 10' 2t (?, ?)

A: Given

Q: Show the solution.  1) What kind of triangle whose lengths of the sides are 11, 15, and 9? 2) A…

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Q: The substance's amount at time t may be modeled by an exponential function. Substance X has an…

A: Here, the exponential model is: A=A0e-kt...(1) Now, given that A0=300 mg. So,  A=300e-kt...(2)

Q: Question- Let R be the region bounded by x= y-25, and x= 1. Then draw the region and. evaluate the…

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Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: This question can be solved using the concept of point of inflection.

Q: Domain of an exponential function y= a", where a is a positive real number other than 1, is all real…

A: Here, the function is: y=f(x)=ax which is an exponential function with the base a where is a real…

Q: 1. For the shaded region shown, determine the following using vertical strip: 5 a. Area x= 2y - 3 4…

A: The given equations are: x=2y-3 and y=x-22-12. Fromx=2y-3, we get: y=x+32. Plug this into the other…

Q: A particle moves with acceleration a(t) = 10 sin t + 3 cos t, s(0) = 1, v(0) = 2. Find s(t).

A: We have to find s(t)

Q: (4x + 1)² cot(5x) f(x) = ln

A: Follow the procedure given below.

Q: Find dy/dx: а. y = cos t dt

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Q: 5- S(tanx + secx)² dx

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Q: 1 Write step-by-step solutions and justify your answers. (1) Solve the initial-value problem 3"…

A: 1)y"+y'-6y=0Auxiliary equation is;D2+D-6=0(D+3)(D-2)=0D=-3, 2Roots are real and distinct.Hence, the…

Q: Find the volume of the pyramid with base in the plane z = and sides formed by the three planes y -9…

A: To solve the following problem

Q: S Evaluate L-'{- | (s² + 144)(s – 8)

A: We have to evaluate  L-1ss2+144 s-8.   We know that L-1ss2+a2 = cosa·t L-11s2+a2 = 1a·sina·t L-11s-a…

Q: Solve the following problems, Write your solutions and answers in a sheet of paper. 1. A crcular…

A: Area of circle A=πr2a)r=32 cmPool area =π r2                 =π(322)                 =1024π  cm2The…

Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = ti+ t°j к()

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Q: 4. Sdx

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Q: d. dt d Calculate ri(t) - r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly…

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Q: y

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Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

A: f(x)=ln(x2)-0.7xl =0.5xu=21st iteration:  Here f(0.5)=-2.0863<0 and f(2)=0.6863>0  ∴ Now, Root…

Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is 1…

A: Let's find.

Q: 4-x III. Evaluate f dx. V16-x

A: Let's find.

Q: Directions: Solve the derivatives of the following functions using the rules in differentiation…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: The region is bounded by y=9-2x from y=0 to y=8 and x=0

Q: Solve the initial value problem y" - 8y' +52y = 0, y(0) = 1, y'(0) = -3. %3D

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Q: Question 4 of 10 m(x) = sec²(e2r+1) %3D Select the correct response. 20+1 sec(e2r+1) tan(e2r+1)…

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