11/18/20

how do i solve this. I set the sins equal to each other with the numbers that were given and got 84.18349, but it's not the right answer

Given a triangle with angle A = 99 degrees and sides a = 37 and b = 14. Find side c.
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11/17/20

Topless Box Project
If you start with a piece of posterboard that is 27 inches long and 19 inches wide and cut a square out of each corner, then fold the sides up to create an topless box, what is the volume of that... more
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11/16/20

sin[cot^-1 (4/3)+sin^-1 (-5/13)]
Evaluate using Principal Values. Please show *all* work so I know what I'm doing. Thank You.
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11/11/20

Air is being pumped into a spherical balloon so that its volume increases at a rate of 80cm^3/s. How fast is the surface area of the balloon increasing when its radius is 7cm?
Air is being pumped into a spherical balloon so that its volume increases at a rate of 80cm^3/s. How fast is the surface area of the balloon increasing when its radius is 7cm? Recall that a ball of... more
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11/10/20

Find midline of the function y=10sin(4x)−3
The midline is the line with equation BLANKI found the amplitude already
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11/10/20

4th roots / nth root
5(cos300+isin300)it must have 4 different answers
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11/09/20

the square if the sum of two positive consecutive even numbers exceeds the sum of their squares by 336

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11/06/20

please help!!!!!!!
n
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11/06/20

It can be shown that ∑_(i=1)^n i^3 =(n^2 (n+1)^2)/4. Use this fact along with the limit of Riemann sums (∑_(i=1)^n f(xi

It can be shown that ∑ni=1 i3=(n2 (n+1)2)/4. Use this fact along with the limit of Riemann sums (∑ni=1 f(xi* )∆xi ) using a regular partition of the interval [0,b] (b>0) and the right endpoints... more
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11/05/20

Please help ? Determine, with support, a rational function of the form f(x) = g(x)/h(x) that has the following features. Justify your thinking for full marks.
x − intercept: x =2/3y − intercept: y = −4point discontinuity (a hole) at (4, 4)a horizontal asymptote at y = 6a vertical asymptote at x = −1
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11/04/20

Hello. I am seeking help solving the problem below. I think I know how to solve it, but I'm hoping I can get a second set of eyes. Thanks.
Given f(x) = ( sin (5x) ) x , find f ' (x) .I believe I would use this rule: e ^ ( ln(x) ) = x . Is this correct?If so, would I then do this: e ^ ( ln(sin (5x) ) ) ? What... more
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11/03/20

How to find intervals
F(x)= x^4 -2x^3-4x^2+8x(A)Determine the intervals where the second derivative is positive and where the secondderivative is negative.(B) Use a graphing utility to make a plots of f and f00 for −4 ≤... more
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11/02/20

Use the given information to find the area of the sector. Round to four decimal places. a sector of a circle has a central angle of 30° and a radius 8 cm.
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11/02/20

Use the Second Derivative Test to classify the relative extrema, for (x^3)+(-6√x)-3 .if the test applies, otherwise use the First Derivative Test.

Hi I have been having trouble with this question because when I try to calculate the second derivative extrema i get imaginary numbers and I dont understand if those count as greater or less than... more
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11/02/20

Calculus Applied Optimization sec 4.7
Consider a wire of length 11ft. The wire is to be cut into two pieces of length x and 11-x. Suppose the length x is used to form a circle of radius r and the length 11-x is used to form a square... more
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10/29/20

Item 16 Use the Distance Formula to write an equation of the parabola with focus F(0,4) and directrix y=−4.
an equation is y= I need to find the equation of y=
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10/29/20

2. Consider the function 𝑑/𝑑𝑥 (𝑥 ^4 − 𝑎) ∙ (𝑏 − 𝑐𝑥)

A. State the product rule. B. Use the product rule to find and simplify the following derivative: 𝑑/𝑑𝑥 (𝑥 ^4 − 𝑎) ∙ (𝑏 − 𝑐𝑥) C. Find the equation of the tangent line at the point where 𝑥 = 0. D.... more
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10/28/20

Let g(x) = x2/3(6-x)1/3, (A) Use log differentiation to verify that g '(x) = 4-x/x1/3(6-x)2/3 ...
Let g(x) = x2/3(6-x)1/3(A) Use log differentiation to verify that g '(x) = 4-x/x1/3(6-x)2/3(C) Find critical points of g(x). (D) Draw the sign graph of g '(x). (E) Find the intervals of increase... more
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10/28/20

Let f(x) = x^2/x^2-4, (A) the domain of f(x) = ... (Need help solving this first one so I have a basis to help solve problems similar to this)
Let f(x) = x^2/x^2-4 (A) the domain of f(x) =(B) Which of these is the correct answer: f(x) is symmetric with respect to the y-axis. f(x) is symmetric with respect to the x-axis. f(x) is symmetric... more
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10/28/20

I don’t understand how to do this
Find the value of 3 consecutive integers such that the sum of the first and the second is 20 less than three times the third.
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10/28/20

A student 6 feet tall stands a few feet in front of a 12 feet tall lamppost and starts to walk in a straight path away from the lamppost.
A student 6 feet tall stands a few feet in front of a 12 feet tall lamppost and starts to walk in a straight path away from the lamppost. When the tip of his shadow is moving 5 feet per second from... more
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10/24/20

URGENT SERIOUS HELP NEEDED
A model rocket is shot out of a building and into the sky. The path of the rocket can be modelled by the equation ℎ = −2(𝑡 − 4)^2 + 50, where h is the height above ground in metres and t is the... more
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10/23/20

Write rational equation based on given properties
Suppose we have a rational function r(x) with the properties below. x-intercepts at (2, 0), (-1, 0), and (6, 0) A hole at (1, r(1)) and a vertical asymptote at x = 5and at x = 3. End behavior... more
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10/23/20

Integration Application
Use the slicing method to find the volume of a cone with radius 8 units and height 10 units. Use a sketch to assist in the explanation.
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10/23/20

rotating around y axis
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.y=0,y=cos(2x),x=π/4,x=0 about the axis y=−1
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