Find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (1, 0). What I need to find: smaller y value (x,y) = larger y value (x,y) =

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Q: The population of a community is represented by the following Initial Value Problem: dP – 3P = 0, dt…

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Q: Use the currency exchange rates in the table for the following question. You arrive in Mexico City…

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Q: For each relation, decide whether or not it is a function. Relation 1 Relation 2 Domain Range Domain…

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Q: sin 2n Determine whether the sequence defined by a, %3D 9n converges or diverges. If it converges,…

A: We have to find limit

Q: = 0.3(1- 2) (-)P. dt 200 at time t. he population in equilibrium? he population increasing?

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Q: Se° cosh@de

A: We have to find the integral

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A: The given limit is: limx→∞3-12x45+3x4

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A: We have to find the limiting value

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A: Given limit is in the form of 0/0

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Q: 4 x ) dx. 4 tan x

A: topic - definite integral using integration properties

Q: 3.x1 + 2x2 6.x1 + 2x2

A: Solution: The equation can be written in matrix form

Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

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Q: Prove or disprove. If the substitution u = f(x)dx becomes g(u)du, and if an indefinite integral of…

A: Given problem:- Prove or disprove. If the substitution u = Ø(x) is such that f(x) dx becomes g(u)du,…

Q: Let f be the function x + 9 for x 2 Find the value of c that makes the function left-continuous.…

A: This question can be solved using the concept of left and right continuity.

Q: f(1) = e6' sin(- 3 t)

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Q: b. g = f(t, v) = tv, t = In m v = m

A: We can solve this as follows:

Q: The function f(x) = 2x – 33x + 60x – 8 has two critical numbers. The smaller one is x = and the…

A: To find the critical point use the differentiation .

Q: 6. Find the volume of the solid generated when the area of the region between the curves y = Vsinx,…

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Q: 5. Write, but do not evaluate, an integral expression that would give the area of the region between…

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Q: Choose all critical points of the function f whose gradient vector is vf(x,y) = (x/x-6-x, y-7) O (7,…

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Q: TT Consider the region D bounded by y = cos(x), y = 8 + cos(x), and x = + 3 y y = 8+ cos(x) 8 6. 4 y…

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Q: In the recent "Asian War" in the South China Sea, the allied forces captured 6,400 of China's…

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Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: see below the answer and calculation

Q: 4 dx x2 1/8 (Type an exact answer, using x as needed.)

A: We have to find the definite integral.   According to our guidelines we can solve only one question…

Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

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Q: r the sequences an defined below are con nverges, find its limit.

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Q: (2x³+9)dx (x²+3)(x²-2x+3)

A: This is a problem related to partial fraction of decomposition and integration. Based on the general…

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Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

A: Given query is to find average cost and marginal cost.

Q: Ln (sin? (D-C)x) Using first principle find derivative of f(x) xD-C

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Q: Question 3 The population P = P(t) community is known to increase at a rate proportional to the…

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Q: hat lump sum must be invested at 6%, compounded monthly, for the investment to grow to $52,000 in 6…

A: Use compound interest formula.

Q: Find Vf at the given point. f(x,y,z) = ex+Y sin z+ (y + 1) cos "x, Vf i+ 0,0, (Type an exact answer,…

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Q: Write the integral in terms of u and du. Then evaluate. (8x + 19)-2 dx, u = 8x + 19 (Use symbolic…

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Q: Compute the surface area of revolution about the x-axis over the interval [3, 6] for y = 4x + 5.…

A: The equation of the curve is given by y = 4x+5 Formula Used: S = 2π∫36y1+dydx2dx To evaluate: The…

Q: Find the intervals on which the function is increasing or decreasing. f(x) = 2x° - 3x2 - 72x + 4…

A: We need to determine increasing and decreasing interval.

Q: a. Find the critical points of f on the given interval. b. Determine the absolute extreme values of…

A: To find the critical points and absolute extreme values of the function and then graph the function.

Q: Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit (in dollars)…

A: P(n) = n(50 - 0.5n) - 100 P(n) = 50n - 0.5n2 - 100 Domain : [ 0,100 ] Now, P'(n) = 50 - n  To Find…

Q: Given that x and y are functions of time, find the indicated rate of change. dy dx Find when x= 1, y…

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Q: f(g(x)) = 7(x³ + 6)7 and g(x) = x° + 6, find f(x). f(x) = %3D

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Q: Evaluate the first derivative of the following functions: g(x) : = cosx – sinx f (x) = 4x²cosx g(y)…

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Q: Evaluate the following limits. If needed, enter 'INF' for ∞ and '-INF' for -x (a) (4 – x)(8+ 3x) lim…

A: topic - limits

Q: The function f(x) = 2x – 30x + 126x + 2 has one local minimum and one local maximum. This function…

A: The given function is  fx=2x3−30x2+126x+2

Q: Find the radius of convergence and interval of convergence of the series.

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim t→+∞ \ 4t2 + 5'4t (?, ?)

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