10.Write anequation of an ellipse with vertices (-7, -3), (-1, -3) and eccentricity of 0.745?

Q: Find the total area between the curves of the functions graphed and the x-axis. Use the formula for…

A: To find the total area between the curves of the functions graphed and x-axis. Use the formula for…

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = x² + xy +…

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Q: Find the centroid of the plane region bounded by the x-axis, and by the curve y = √4-r².

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Q: For the following two p-series, state whether it is convergent or divergent and why? ∞ (Α). Σ (Β)…

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Q: Suppose the density of a fluid is given by 6 = 1/p where p is the radius to the origin. Find the…

A: We have to find the total mass inside the unit sphere.

Q: QUOTIENT PROPERTY log, (u)-log, (v) = log V

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x³ – 6x² –…

A: For finding the absolute extrema of the function f( x ) first find critical points by f'( x ) = 0…

Q: The graph of f(x) is shown below. 12 8 4 0 -4 -8 -12 (a) A NE 2-4-6-8-10-12-14 Use the graph to…

A: Integration is the area between the curve and the x-axis (when dx exists). So we can break the area…

Q: 2. Find all relative maximum(s), relative minimum(s), point(s) of inflection, and interval on which…

A: A function y  We have to find relative maximum  Relative minimum and inflection points

Q: Doesn't seem like any of these answers work.

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Q: Estimate the area between the curves y=1.5x and y=0.75x^2. Use a graphing calculator. Answer:

A: We have to estimate the area between curves.

Q: 11. Given the graph of f(x) below, describe the type and location of all discontinu 4 f(x)

A: Limit and discontinuity

Q: Determine the value of f"(1) when f(x) 3 ln (2x + 1). 1. f"(1) = 813 5. f"(1) = = 2. f" (1) 3. f"(1)…

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Q: An android's eye is outlined by the graph of f(x) = 1 - x² from x=-1 to x=1. The android wants to…

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Q: Consider the following function. g(x) = x³ + 3x² − 9 on [−3, 1]

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Q: Find the volume of the solid bounded above by the plane z = y, sides by the cylinder x2 + y2 = 16,…

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Q: Find two paths of approach from which one can conclude that the function has no limit as (x, y)…

A: Here the given function is f(x,y)=x2y25x4+y4 We have to find two paths of approach from which we can…

Q: Please reference the following video to help complete this question. (x-1P Suppose P₂(x)=a+bix-1)+c7…

A: Given that, the polynomial is             P2x = a + bx-1 + cx-122 From the given graph, clearly we…

Q: Find the Laplace transform of the following given: 1. f(t) = 6e-5t + e³t + 5t³ - 9 2. h(t)e-3t…

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Q: Determine if the series n=1 1+3″ 5n converges or diverges, and if it converges, find its sum.

A: Given: We need to find the convergence or divergence of the series.

Q: All units in a 100-unit apartment building are rented out when the monthly rent is set at r =…

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Q: Graph the two curves y=6x and y=6√x These curves cross when x=0. Find the x-coordinate of the other…

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Q: 5T Convert the point (r, 0, z)=(5, expressions, or decimals to at least one decimal place. (x, y, z)…

A: Given: We will be converting the above to a cartesian coordinate. So,          x=r cosθ=5…

Q: Find f such that f'(x) = 5x² + 9x-3 and f(0) = 8. f(x) =

A: Given that f'x=5x2+9x-3 and f0=8. We have to find the function fx.

Q: Determine the absolute maximum value of f(x) = sin(x) - cos²(x) =

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Q: Use the shell metho to find the volume of the solid generated when the region described is revolved…

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Q: 2 6 f(x) dx

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Q: Q3: -st 3 C.te dt 3 t

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Q: 10. Find the work done by the force field F = yi — xj + k on a particle that moves along the helix…

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Q: log10 (270) + log10 (90)- 5 log₁0 (3) =

A: log10(270) + log10(90) - 5log10(3)=___

Q: The population of species A is equal to the population of species B at time t=0. The rate of growth…

A: The rate of growth of population A is given by R1=16e^(0.4t+1) and the rate of growth of population…

Q: +/- (L-X) cos nx 2 L x dx

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Q: b. Find the MacLaurin polynomial of degree n for f(x) = x+1

A: Maclaurin and Taylor theorem.

Q: g(x) = 36 - X² x² + 6x (a) Find the domain of g(x). O x = -6 x = 36, x = 0 O x-6, x 6 X # 36 O x # 0…

A: Functions

Q: 1. Explain why log, 1=0. Hint: Use exponentials!

A: To prove log_a(1)=0

Q: Find all the critical points of x(2 + x)4/3 1. x = 69 7 2. x = 2, f(x) 3. x = -2, 4. x = 2 5. x =…

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Q: 3 2. Find the absolute maximum and minimum values of the function f(x, y) = 4x + 6y = x² - y² on the…

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Q: A rectangular cardboard, 100cm by 40 cm, is going to be used to make a rectangular box with an ioen…

A: Given: A rectangular cardboard, 100cm by 40 cm, is going to be used to make a rectangular box with…

Q: 3 1 1 Use the transformation u = 3x+4y, v=x+3y to evaluate the given integral for the region R…

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Q: 1. Let f,g: R → R" be differentiable functions. Show that d dt (f(t)-g(t)) = d d f(t) · g(t) +…

A: Let f, g: ℝ→ℝn be differentiable functions. To show that,  ddtft·gt=ddtft·gt+ft·ddtgt

Q: Suppose z = x² sin y, x = -4s² + t², y = -2st. A. Use the chain rule to find and as functions of x,…

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Q: Sand falls from a conveyor belt at a rate of 14 m³/min onto the top of a conical pile. The height of…

A: We need to find rate of change for both radius and height.

Q: Find the limit. lim (¹) (x, y). 0 2 4 tan 1 57 1/ y tan x y+1

A: Here we find the given the limit.

Q: express the equation in logarithmic form: a) ex = 4 is equivalent to In A = B. Then A = B = b) es C…

A: a) ex=4b) e5=x

Q: Find the radius r and height h of a cylindrical can of total surface area 140 cm² whose volume is as…

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Q: The curve represented by the equation  r = aeb?,  where a and b are constants, is called a…

A: r=e?/6 ; -2≤ ? ≤ 2let ? be xhere x is dummy variable.so,r=ex6; -2≤x≤2

Q: 1. Draw the graph of a function f(x) that is continuous on the domain [-3,9] and clearly satisfies…

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Q: Find the length of the curve. r(t) = t² i + 9tj + 4ť³/2k, 1≤t≤4

A: Given vector function is: r(t)=t2i+9tj+4t3/2k We have to find length of curve for the interval [1,4]

Q: Suppose f'(x) = cos(x²) and f(0) = 2. A. Use a graph of f'(x) to decide which is larger: A. f(0) OB.…

A: Given information: f'x=cosx2 and f0=2 To find: a) Use the graph of f'x, estimate where the function…

Q: . (Section 14.4) Let curve C be described by vector function(t) = (cost-1, sint, 3/2) on 0 ≤ t ≤ b.…

A: We have to find the value of b so that the length of the curve is 18 units