Find an equation of the parabola with vertex (2,-4) and focus (2, -7). 2

Q: A conical container of radius 6 ft and height 24 ft is filled to a height of 20 ft of a liquid…

A: SolutionGiven data:-Radius R=6 ft.Height of conical    =24 ft.Filled liquid height  =20 ft.Weight…

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Q: 82t An epidemic is growing in a region according to the rate N' (t) = +3 I where N(t) is the number…

A: Topic- Differential equations We are given,   N'(t)=82tt2+3where N(t) is the number of people…

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Q: Approximate the value below by using a LOCAL LINEAR APPROXIMATIION. DO NOT just simply calculate,…

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Q: Use any method to find the GS of (+ Inx) y' + ( + y) = ln = 0 y

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Q: Find a Cartesian equation for the curve defined by the following parametric equations. Sketch the…

A: Given that       x = 2 - cost , y=1+2sint

Q: Describe how the graph of g is obtained from the graph of f. (a) g(x, y) = f(x, y) + 5 shift 5 units…

A: To find about the transformation done in f(x,y).

Q: Let f(x)=x²-3x on [4, 7]. Use the IVT to determine if there is a solution to f(x) = 10 in the…

A: The given function fx=x2-3x on 4,7 We use the intermediate value theorem to find there is a solution…

Q: Prove the identity. 1-tan x 1+tan x Note that each Statement must be based on a Rule chosen from the…

A: We have to find out

Q: Proof 5.5: ★ Prove S Σ()(2)-() k>0 n

A: Since you have asked multiple question, as per company policy will solve the first question for you.…

Q: Consider the indefinite integral r4x³ + 3x² - 31x - 36 fA³ dx a = b = Then the integrand decomposes…

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Q: Find the derivative of f(x) = 4sinxcosx-5sinx. a.) f(x) = -4sinxcosx + 5cosx b.) f'(x)=4cos²x-4sin²x…

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Q: 2 1 -8 -7 -6 -5 4 -3 -2 -1 -1 -2 -3 -5 6 1 2 3 4 5 6 7 8

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Q: (4) Find the integral I = J (x³ - 7x² + 14x − 8)dx. Explain why this is not the same as the area you…

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Q: The following DE is of two or more different types: separable, linear, homogenous, Bernoulli, exact,…

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Q: Question Determine a definite integral that represents the area of the region enclosed by r = Enter…

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Q: Suppose h h'(0) = = fog. Find h'(0) given that f(0) = 7, f'(3) = −5, g(0) = 3, and g'(0) = 8.

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Q: d) √9x x √16x e) 5logx + 2logy - logx f) (3x + 7)²(3x + 7)6

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Q: Find the amplitude, period, and horizontal shift of the function. y = sin((x++))

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Q: Marginal Revenue for Producing Loudspeakers The management of Acrosonic plans to market the…

A: Topic - Application of derivatives We are given, p=-0.02x+620  (0≤x≤20,000)where p denotes the…

Q: Given lim f(x) = 16 and lim_g(x) = -12, evaluate lim_[5f(x)-3g(x)]. X→-5 X→-5 O a.) lim…

A: Topic - Limits We are given, limx→-5f(x)=16 and limx→-5g(x)=-12we need to findlimx→-5[5f(x)-3 g(x)]

Q: 5. Given the vector u = [2,6,-3] a) Draw the vector. 78 b) Determine a unit vector collinear with u.…

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Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = (x +…

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Q: FIND THE eq of targeNT ед F(x) = (x² + 1)(x²³-1) at x = 1

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find an integrating factor that is a function of only one variable, and find an implicit solution:…

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Q: Integral of the constant function f(x) = k is

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Q: dy (x + 2)² dy − (x + 2) dx + y = 3x + 4 2 dx

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Q: Which one(s) of the following is(are) the Taylor series for the function f(x) = sin(x) about x = ο ?…

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Q: Which one(s) of the following is(are) the Taylor series for the function f(x) = sin(z) about x = o?

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Q: The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is…

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Q: Consider the indefinite integral r4x³ + 9x² + 27x +45 faz³ dx x4 + 9x² Then the integrand has…

A: Given integral:- ∫4x3+9x2+27x+45x4+9x2dx

Q: Find Vf at the given point. 3 3 f(x,y,z) = x³ +y³ - 2z² + z lnx, (1,4,4) Vf|(1,4,4)= i + () + ()k…

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Q: Consider the following curve. y = 3x² - 9x + 1 Find the slope m of the tangent line at the point (4,…

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Q: A tank initially contains 129 m² of a bleach solution with 7 g m³/min while the uniformly mixed…

A: From the given data we can draw as below Lets say amount of chlorine after 't' minutes be 'x'…

Q: Find an equation of the plane that passes through (8, −2, −3) and is perpendicular to the vector (1,…

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Q: y- l1: 2 - x : 1:2-x=쓸=렇 12:2=y-2=23 3 x+1 4

A: Distance between l1 and l2

Q: Solve the differential equation by appropriate Substitution dy ах x + 3y 3x+y __(a) 2 2 b) x dy = y…

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Q: Application problem 10.) The cost to remove a pollutant from the city's water system is approximated…

A: We use quotient rule of differentiation to find the derivative of the given cost function. The…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. a =e⁹n/(n +…

A: Solution

Q: a.) Determine if exact, if exact, then Solve give 3 2 differential equation (x-y³ + y ² sin x) dx =…

A: If a differential equation of the form Mdx+Ndy=0 is said to be eaxt if ∂M∂y=∂N∂xthe solution of the…

Q: Consider the following. dx = 0.75 /0 V9 - 16x2 X = 0 → 0 = 3 Let x = sin(0) and determine the…

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Q: Without graphing, find the x- and y-intercepts for f(x). f(x)=x²-8x+13 Select the correct choice…

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Q: Find the indefinite integral. (Use C for the constant of integration.) [sin ³: sin³ 20 √ cos 20 de

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Q: Experiments show that a colony of bacteria with sufficient food and no predators and with zero death…

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Q: Find the values of the trigonometric functions of t from the given information. sec(t) = 6, sin(t) <…

A: Given data:- The given trigonometric function is, sect=6, sint&lt;0

Q: (a) The unit circle is the circle centered at 0,0 (b) The equation of the unit circle is x² + y² = 1…

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Q: 2(2x² + y²)dx-xydy = 0

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Q: Given the graphs of f(x) and g(x): Ax) Find g(f(0)) 00 8 -8 1 y 8.0 8

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Q: In this example we considered the function W = f(T, v), where W is the wind-chill index, T is the…

A: Solution: Wind-chill index = W = f(T,v) = 13.12 + 0.6215T - 11.37(v0.16) + 0.3965T(v0.16) , T -…