11/20/23

Polar Conic Sections
Consider the equation below.r = 12/(3-sin(θ))The eccentricity is e = 1/3 and It is an ellipseGive an equation of the directrix (in Cartesian Coordinates)
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11/18/23

Calculus Applied Optimization Question
Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting... more
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11/18/23

Find the rate at which x changes with respect to t when dy/dt = 2, dz/dt = 20, x = 0, y > 0, and z = −3 for the equation: x + 2y^2 − z = 5

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11/15/23

A police car is located 70 ft to the side of a straight road. A red car is driving along the road in the direction of the police car and is 170 feet up the road from the location of the police...
A police car is located 70 feet to the side of a straight road.A red car is driving along the road in the direction of the police car and is 170 feet up the road from the location of the police... more
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11/14/23

What property does this indicate?
((√a7)-b^5)((√a7)+b^5)=a7-b10
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11/14/23

Optimization quiestion
A power line is to be run to an offshore facility as shown in the figure above. The offshore facility is D=4 AND L=4 miles at sea and miles along the shoreline from the power plant. It costs $... more
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11/14/23

Calculate z/w, write the answer in trigonometric form.
Calculate z/w if z = 32(cos(pi) + i sin(pi)) and w = 4(cos(3pi/5) + i sin(3pi/5)) write the answer in trigonometric form. Simplify
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11/14/23

Finding critical points

Find all critical points for the function f(x)=x^2 + 54/x
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11/14/23

fundamental theorem of calculus
Around the beginning of the 1800’s, the population of the U.S. was growing at a rate of about 1.34^t  million people per decade, with t being measured in decades from 1810.If the... more
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11/14/23

Calculus 5.2 Definite Integrals
For this problem I was given a right Riemann Sum. The sum being∫[√(4-(2/n)2)*(2/n)] + [√(4-(4/n)2)*(2/n)] + ... + [√(4-(2n/n)2)*(2/n)]The definite integral given is ∫ with a=0 and b=?a) I'm asked... more
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11/14/23

Calculate (√3 - i)6 using DeMoivre's theorem.

Calculate (√3 - i)6 using DeMoivre's theorem. State the answer in the rectangular form of a complex number. To make it easier to grade. write your work where indicated: Write √3 - i in... more
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11/14/23

Let z = 81 (cos100° + i sin100°). Find all of the 4th roots of z. Write the answers in trigonometric form
Let z = 81 (cos100° + i sin100°). Find all of the 4th roots of z. Write the answers in trigonometric form
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11/12/23

Given the information below, estimate the total distance travelled during these 6 seconds using a left endpoint approximation.
Chart:Time (Seconds) Velocity (ft/sec)0 211 382 393 ... more
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11/12/23

Find all values of x in the interval [0, 2𝜋] that satisfy the equation. (Enter your answers as a comma-separated list.)

16 sin2(x) = 8
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11/12/23

Why (-1) not equal to -1 squared
Why is (-1) not equal to -1?the problem is written (-1) n equal sign with a line through it -1
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11/11/23

Consider the following. t= = 4𝜋/3
Consider the following.t= = 4𝜋/3(a) Find the reference number t for the value of t.t =
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11/11/23

Consider the following. t= -5𝜋/6
Consider the following.t= -5𝜋/6(a) Find the reference number t for the value of t.t =
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11/10/23

find the equation of a line perpendicular to 2x+2y=-2 that passes through the point (9,8)
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11/10/23

Calculus I Anti-derivatives Question A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec. Assuming that the air resistance can be ignored, how high does it go?
A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec. Assuming that the air resistance can be ignored, how high does it go? Hint:The acceleration due to... more
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11/10/23

Evaluate the limit by first recognizing the sum as a Riemann sum for a function defined on [0,1]
limn→∞∑ni=1(i4/n5+i/n2)I got Δx=1/n and xi=i/n but I'm not sure how else to proceed by the Riemann sum method.
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11/09/23

Im very confused with how to find f(x) and g(x) with the values given
suppose the function f and g and their derivitives have the following values at x=1 and x=2 Let h(x)=f(g(x)) Evaluate h'(x)x f(x) g(x) f'(x) g'(x)1 8 2 1/3 -32 3 -4 2pi 5
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11/09/23

How do I go about finding the remaining angles and sides
1a. b=30, c=60, Angle A=70degrees2a. a=20, b=25, c=22I am sure I am meant to use the law of cosines, but for the first one, I keep getting values that seem too small. like less than 1. Is there... more
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11/09/23

Maximum and minimum values
For the following functions, find all critical points exactly. f(x)= e^-1 - e^-3x for x>0
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11/08/23

RETAKE Chapter 4, Test #1
What is the image of left bracket, minus, 5, comma, minus, 1, right bracket(−5,−1) after a reflection over the line y, equals, minus, xy=−x? Answer
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11/08/23

Find the formula for the logarithmic function.
Find the formula for the logarithmic function of the form:f(t) = a + logb(t)Whose graph contains the points (4, -0.5) and (16, 0)
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