04/18/21

Tests for Convergence (Not a test question)
Which of the following statements is true? (4 points) The nth term test can never be used to show that a series converges. The integral test can be applied to a series even if all the terms... more
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04/18/21

two adjacent rectangular garden is to be encolsed by a 400meters of fencing. find the dimensions of the garden to obtain a maximum area
two adjacent rectangular garden is to be encolsed by a 400meters of fencing. find the dimensions of the garden to obtain a maximum area
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04/16/21

How to solve this? Riemann's Sum
Consider the region bounded by y = 12 − 3x, the x-axis, and the y-axis. Estimate the area of the region using a lower Riemann sum with four rectangles of equal width (in other words, the height of... more
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04/16/21

show all steps and calculus justification formative homework help!!
show all steps and calculus justification formative homework help!!Consider the differential equation dy/dx =x^2y^2with a particular solution y=f(x) having an initial condition y(−3) = 1 . Use the... more
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04/16/21

A stone is dropped into a pool of still water. The waves created move away at a speed of 1.5 ft/sec. How fast is the area of disturbed water increasing 8 s after the stone hits the water?

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04/16/21

The Great Sin To find Secant question
Given sin (x) = -4/7 , 3π/2< x < 2π find sec x
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04/16/21

A rectangle has its base on the x-axis, one corner at the orgin, and one vertex on the graph of x+y=12. Find the dimensions of the rectangle satisfyingthese conditions that has maximum area.
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04/15/21

Based on this model, use a linear approximation to the graph of k(t) at t = 2 to estimate the quantity of the substance at t = 2.1.
The quantity of a substance can be modeled by the function k(t) that satisfies the differential equation dk/ dt =-1/90 (k-450). One point on this function is k(2) = 900. Based on this model, use a... more
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04/14/21

Solve the following Mean Value Problems
1. Given f(x) = 3x^2 + 1, find c such that f(c) equals the average of f(x) = 3x^2 + 1 over (0,2).2. Given f(x) = x^3 - 1, find c such that f(c) equals the average of f(x) = x^3 - 1 over... more
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04/14/21

You are given that cos(A)=4/5, with A in Quadrant I, and sin(B)=24/25, with B in Quadrant I. Find sin(A+B). Give your answer as a fraction.
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04/14/21

The power series  has a radius of convergence R = 2. Determine the interval of convergence.

The power series  has a radius of convergence R = 2. Determine the interval of convergence. (-1, 3) [-1, 3] (-1, 3] [-1, 3)
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04/13/21

Calc Iroc and difference quotient question
 If the height of a sea gull is shown to follow the function h(t)=3sin(pi/8 t)+15 where t is in seconds and h is in meters estimate the instantaneous rate of change at t=3 using the difference... more
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04/13/21

Chapter 10: Inscribed Angles and Polygons
Find angle A.
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04/13/21

Help with standard form
I have a poly question for Algebra 2. The problem gives me the root of 4 with multiplicty of 2. The root of 5 with multiplicty of 1. I also get the y-intercept of 160. I need to find the problem in... more
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04/13/21

Determine the end behavior and removable discontinuities of the rational function below.
F(x) = 2x - 3/8x^2- 10x - 3
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04/13/21

Calculus Question
Assume that x=x(t) and y=y(t). Let y=x^3+4 and dx/dt=3 when x=4. Find dy/dt when x=4.
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04/13/21

Determine the set of equations that represent the graph of the rectangular equation y = 2x^3 + 5x using the parameter t = 1 - x/2
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04/12/21

Considering only the values of β for which sec β(1+cos β)(1−cos β) is defined, which of the following expressions is equivalent to sec β(1+cos β)(1−cos β)?
select the correct answer below:1sec βtan βcos βsec βsin βtan β
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04/12/21

Show that f(x) = (x−1)2(x−3)3satisfies Rolle’s Theorem on the intervalD= [1,3] and find all values of c which satisfy the conclusion of Rolle’s Theorem.
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04/12/21

Solve on the interval [0,2pi) tanx=2.3
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04/12/21

Write the following in standard form and identify the conic section. 2x^2+ 7y^2 + 24x + 84y + 310 = 0
I need step by step instructions to put this ellipse equation in standard form.
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04/12/21

The mathematical model for learning an assembly-line procedure needed for assembling one component of a manufactured item is n = -5 In (0.89/P-1)

The mathematical model for learning an assembly-line procedure needed for assembling one component of a manufactured item is n = -5 In (0.89/P-1) where P is the proportion of correctly assembled... more
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04/10/21

Find two positive numbers whose product is 192 and the sum of the first and three times the second is a minimum.
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04/09/21

The equation f(x)=x is known as the__?
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04/09/21

We are going to fence in a rectangular field that encloses 200m ^2.
If the cost of the material for of one pair of parallel sides is $ 3/m and cost of the material for the other pair of parallel sides is 8/m determine the dimensions of the field that will minimize... more
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