03/14/21

Use linear approximation, i.e. the tangent line, to approximate 1/0.103 as follows: Let f(x)=1/x and

Use linear approximation, i.e. the tangent line, to approximate 1/0.103 as follows: Let f(x)=1/x and find the equation of the tangent line to f(x) at a "nice" point near 0.103. Then use this to... more
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03/13/21

Solve this equation?
The demand for grass seed (in thousands of pounds) at price p dollars is given by the following function. D(p)= -3p^3-2p^2+1489Use the differential to approximate the changes in demand for the... more
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03/13/21

Find the critical numbers and when they are increasing or decreasing?
f(x) = x+8/x+2 What are the critical numbers if they are any? When is the function increasing? Or is not increasing? When is the function decreasing? Or is it not decreasing?
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03/12/21

calculus question help
Which of the following series converges conditionally? A B C D
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03/12/21

Applied Optimization

A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window... more
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03/11/21

Inverted Pyramid Being Filled
An inverted pyramid is being filled with water at a constant rate of 40 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 5 cm, and the height is... more
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03/11/21

The shorter leg of a right triangle is 7 nanometers shorter than its longer leg. Its hypotenuse is 1 nanometer longer than its longer leg. Give the length of the triangle's hypotenuse
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03/11/21

The difference between a negative integer and its square is 6 fewer than twice that integer. What is the integer?
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03/11/21

Suppose f is a function with domain (-10,6] and range (6,8]. Find the domain and range of the following functions.
Hello everyone, I have this question about finding domain and range"Suppose f is a function with domain (-10,6] and range (6,8]. Find the domain and range of the following functionsf(4 x+2) "Can... more
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03/11/21

solve the effect of the transformation on the graph

1.   lets say that d ultiple Choice 1. Determine whether the given statements about a function f are true or false. Statement I: If lim ℎ→0 𝑓(𝑎+ℎ)−𝑓(𝑎) ℎ exists, then lim𝑥→𝑎 𝑓(𝑥) exists as... more
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03/10/21

There are 435 seniors at a high school and they are all placed in groups consisting of more than 2 students but fewer than 30 students.
There are 435 seniors at a high school and they are all placed in groups consisting of more than 2 students but fewer than 30 students. Each group is to have an equal number of students and each... more
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03/10/21

calculus problem help
If  does not have a finite value, the infinite series  is said to be oscillating convergent increasing divergent I missed my class due to a doctor's appointment so help would be... more
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03/10/21

solve for all 0≤x≤2π
2tan²x-3sec x+3=0 cot x-√3=csc x
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03/09/21

Integral of e^(x^2+1) 2x dx
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03/09/21

Evaluate the integral x dx/x^2+2 from 0 to 1
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03/09/21

Let X be the sum of the two bills selected. Then P(X>16)?

A box contains one $5 bill, three $10 bills, and four $20 bilis. A bill is selected at random, and it is not replaced: then a second bill is selected at random. Let X be the sum of the two bills... more
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03/09/21

A body moves along a straight line so that its velocity vat time tis given by v= 4t^3 + 3t^2 +5. The distance the body covers from t= 0 to t= 2 equals
A body moves along a straight line so that its velocity vat time tis given by v= 4t3 + 3t2 +5. The distance the body covers from t= 0 to t= 2 equals(A) 34(B) 55(C) 24(D) 44(E) none of these
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03/09/21

Math Word Problem
A Farmer has 480 ft of fencing and wants to enclose two adjacent rectangular corrals for the pigs and goats. What size corrals will yield the maximum area.
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03/08/21

feet/second help
A rotating light is located 11 feet from a wall. The light completes one rotation every 4 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's... more
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03/08/21

Please Help I don't understand
 The third-degree Taylor polynomial for a function f about X=2 is1+(1/3)(x-2)+(1/2)(x-2)^2+(9/32)(x-2)^3What is the value of f'''(2)
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03/08/21

Geometry and finding equations

Find and equation of the circle that has center (-3,4) and passes through (2,5)
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03/08/21

In an elliptical sport field we want to designs rectangular field with the maximum possible area.the sport field is given by the graph of (x^2/a^2)+(y^2/b^2)find the length 2xand width 2y of pitch

Express in terms of a and b to maximize the area of the pitch.and express the area of the pitch as a function of x only
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03/08/21

The altitude of a triangle is increasing at a rate of 1.5 centmeters
The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the triangle is increasing at a rate of 3 square centimeters/minute. At what rate is the base of... more
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03/08/21

precalculus question
Convert the equation f(t)=213e^0.25t   to the form f(t)=ab^ta = __?b = __? Give answers accurate to three decimal places
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03/08/21

Use the Fundamental Theorem of Calculus to carry out the following differentiation:
Use the Fundamental Theorem of Calculus to carry out the following differentiation:d ∫1√x tt dt= ?dxintegral from 1 to sqrt x
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