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TayB
Questions (240)
On Sunday I was rear ended while waiting in line at a McDonald’s drive thru. I got out right after it happened while still in
5 answers
577 views
A long year-end status report for work is 111 pages long. You need to print 16 copies for a meeting next week. How much is the
1 answer
4,574 views
Determine whether the series is convergent or divergent
series symbol n=1 to infinity (n^2/(e^(3n))
2 answers
1,319 views
Use Euler's method with a step size of 0.2 to estimate y(1), where y(x) is the solution of the initial value problem y' =
1 answer
853 views
Find the orthogonal trajectories for the family of curves y=(kx)^6.
1 answer
1,086 views
Find the solution of the differential equation that satisfies the given initial condition.
du/dt= (2t + sec^2(t))/(2u), u(0) =
3 answers
799 views
Find the solution of the differential equation that satisfies the given initial condition.
dy/dx= x/y, y(0) = −7
3 answers
4,946 views
How can i post pictures to here? i need help with an extra credit logic puzzle
1 answer
396 views
Use Euler's method with step size 0.5 to compute the approximate y-values y1, y2, y3 and y4 of the solution of the initial-value
3 answers
1,805 views
A hemispherical plate with diameter 10 ft is submerged vertically 2 ft below the surface of the water. Express the hydrostatic
1 answer
1,433 views
How did the Stamp Act, Boston Massacre and Boston Tea Party connect with the idea of representation? Use Zinn "Voices of a
4 answers
614 views
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = x, y =
0 answers
475 views
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 3 sin x,
0 answers
484 views
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 3x^4, y
1 answer
499 views
Find the area of the region bounded by the parabola y = 5x^2, the tangent line to this parabola at (3, 45), and the x-axis.
1 answer
2,466 views
Sketch the region enclosed by the given curves. Find its area.
y=7cos pi x, y=12x^2-3
1 answer
3,048 views
Use a graph to find approximate x-coordinates of the points of intersection of the given curves. Then find (approximately) the
3 answers
2,448 views
The birth rate of a population is
b(t) = 2000e^0.022t people per year and the death rate is d(t)= 1460e^0.017t people per year,
1 answer
1,290 views
Find the area of the region bounded by the parabola y = 3x^2, the tangent line to this parabola at (1, 3), and the x-axis.
1 answer
6,996 views
The acceleration function (in m/s^2) and the initial velocity are given for a particle moving along a line.
a(t)=t+4, v(0)=4, 0
1 answer
510 views
Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area.
y =
2 answers
3,568 views
Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y =
3 answers
838 views
Find each limit:
(a) lim x->1 (ln(x)+2x-2)/(x^2-1) (b) lim x->infinity (x^2)/(e^x)
1 answer
447 views
Find the local maximum and minimum for the function
f(x)=2x^3-3x^2-120x+10
1 answer
392 views
just wanted to say good luck with the school week and work week everybody.
1 answer
360 views
Use Newton's method to approximate the indicated root of the equation correct to six decimal places. The root of x^4 − 2x^3 +
0 answers
634 views
Consider the function below.
f(x)= (x^2)/((x-4)^2) Find the interval where the function is concave up. (Enter your answer using
1 answer
1,061 views
Find the absolute minimum and absolute maximum values of f on the given interval.
f(t) = 16 cos t + 8 sin 2t, [0, π/2]
2 answers
3,379 views
Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y = (x − 5)^2 that is
4 answers
829 views
Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated
1 answer
1,011 views
Use Newton's method to find the coordinates, correct to six decimal places, of the point on the parabola y = (x − 5)^2 that is
4 answers
2,326 views
Of the infinitely many lines that are tangent to the curve y = −4 sin x and pass through the origin, there is one that has the
2 answers
1,110 views
Of the infinitely many lines that are tangent to the curve
y = −4 sin x and pass through the origin, there is one that has the
2 answers
2,101 views
Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated
1 answer
1,127 views
Use Newton's method with initial approximation
x1 = −2 to find x2, the second approximation to the root of the equation x^3 + x
2 answers
1,417 views
A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral
7 answers
3,458 views
A box with a square base and open top must have a volume of 4,000 cm^3. Find the dimensions of the box that minimize the amount
3 answers
1,787 views
A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with a fence parallel
2 answers
7,596 views
The rate (in mg carbon/m^3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function
P =
1 answer
824 views
Consider the following.
B(x) = 3x^(2/3) − x (a) Find the interval of increase.(Enter your answer using interval notation.) Find
7 answers
6,400 views
Find the absolute maximum and absolute minimum values of f on the given interval.
f(x) = (e^−x)*(− e^−6x), [0, 1]
4 answers
824 views
Find the absolute maximum and absolute minimum values of f on the given interval.
f(x)=(x^2-4)/(x^2+4), [-4,4]
1 answer
637 views
Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a
1 answer
13,242 views
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that
1 answer
662 views
find the critical numbers of the function
F(x)=x^(4/5)(x-1)^2
1 answer
1,634 views
Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer
1 answer
1,574 views
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter
1 answer
2,576 views
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter
1 answer
946 views
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter
1 answer
2,916 views
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (If an answer
4 answers
2,574 views
Find the derivative dy/dx for the following. Simplify your answer.
y=(ln(x^2))/(x^3) I got (2/x x^3-3x^2 ln(x^2))/((x^3)^2) for
3 answers
552 views
Related Rates: Two cars approach the intersection of two highways. The one coming from the west is traveling at 60mph and the
2 answers
1,149 views
Find the derivative dy/dx
y=e^(sinh(x))
1 answer
1,754 views
Find the derivative dy/dx
y=x^3tanh(5x)
1 answer
384 views
Find the linear approximation of the function g(x)=cube root(1+x) at a=0.
1 answer
3,562 views
If tanh x=4/5, find the values of the other hyperbolic functions at x.
sinh x= cosh x= coth x= sech x= csch x=
2 answers
2,235 views
Find the numerical value of each expression. (Round your answers to five decimal places.)
(a) cosh 9 (b) cosh(ln 9)
5 answers
4,174 views
A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline and its light makes two
1 answer
1,662 views
Related Rates: A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline and its
1 answer
829 views
Related Rates: The minute hand on a watch is 9 mm long and the hour hand is 6 mm long. How fast is the distance between the tips
1 answer
2,629 views
Related Rates: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a
2 answers
1,003 views
Water is leaking out of an inverted conical tank at a rate of 9,500 cm^3/min at the same time that water is being pumped into
1 answer
652 views
Related Rates: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at which the
1 answer
620 views
Related Rates Problem: Two cars start moving from the same point. One travels south at 40 mi/h and the other travels west at 30
1 answer
1,492 views
The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventually. The population is
2 answers
7,908 views
Formulate a linear programming problem for the following situation.
Homer Simpson has created two donut assortments for the the
1 answer
601 views
Find y' if y=ln(9x^2+7y^2).
1 answer
962 views
Find the equation of the tangent line to the curve y = (9 ln x)/x at the points (1, 0) and (e, 9/e).
3 answers
4,270 views
The curve with the equation y^2=5x^4-x^2 is called a kampyle of Eudoxus. Find an equation of the tangent line to this curve at
6 answers
3,270 views
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
x^2/3 +y^2/3 =4
1 answer
927 views
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
x^2+2xy-y^2+x=6 , (2,4)
2 answers
566 views
The curve y = |x|/(sqrt(5- x^2)) is called a bullet-nose curve. Find an equation of the tangent line to this curve at the point
2 answers
6,093 views
Find the derivative of the function.
y=(e^3u -e^-3u)/(e^3u+e^-3u)
1 answer
393 views
Differentiate.
f(x)=5sqrt(x)sinx
1 answer
562 views
Find the derivative of f'(x) of f(x)=4sqrt(x) using limits
3 answers
453 views
Find the slope of the tangent line and the equation of the tangent line to f(x)=x^2-x at x=3
3 answers
407 views
Find the horizontal and vertical asymptotes of (3x^2-48)/(x^2-3x+10)
3 answers
414 views
A particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. Find
3 answers
8,527 views
Find the requested derivative using limits
a. 𝑓′(-4)if f(x)=sqrt(1-2x) b. 𝑓′(a)if f(x)=(2x+1)/(x+3) c. 𝑓′(x) if
2 answers
481 views
Find the instantaneous velocity, using limits, for the given value of t of an object moving according the given equation.
a.
4 answers
490 views
Just wanted to say hope everyone has a great year of school this year.
1 answer
375 views
simplify the expression.
cos(2 tan^-1 x)
1 answer
1,405 views
Find the exact value of each expression.
(a) cot^-1(sqrt(3))
3 answers
779 views
Find the exact value of each expression.
(a) tan(sec^−1 5) (b) sin(2sin^-1(5/13))
1 answer
647 views
Use a graph to estimate the values of x such that e^x > 1,000,000,000
1 answer
470 views
A variable star is one whose brightness alternately increases and decreases. For one such star, the time between periods of
2 answers
3,096 views
Evaluate the difference quotient for the given function. Simplify your answer.
f(x) = 1+2x− x^2, (f(4+h)-f(4))/h
1 answer
2,268 views
Find f o g o h.
f(x) = x + 9, g(x) = 3x, h(x) = x − 5
3 answers
658 views
Explain how the following graphs are obtained from the graph of y=f(x). (Select all that apply.)
(d) y= -2f(x) shift 2 units
1 answer
6,696 views
Explain how the following graphs are obtained from the graph of y=f(x). (Select all that apply.)
(a) y=7f(x) shifts 7 units
1 answer
2,622 views
Find an expression for a cubic function f if f(1)=8 and f(-1)=f(0)=f(2)=0
2 answers
863 views
A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 18 in. by 30 in. by cutting
3 answers
4,327 views
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 32 ft, express the
1 answer
1,230 views
True or False. Explain.
If lim f(x)=L x → a then f(a)=L
2 answers
397 views
If a function is continuous, then it is differentiable.
2 answers
443 views
True or False. Explain.
The graph of any function can have at most two horizontal asymptotes.
1 answer
760 views
True or false. Explain.
The line x=1 is a vertical asymptote of f(x)=(x^2+x-2)/(x^2-1)
1 answer
756 views
True or False. Explain.
If lim f(x)=5, x → a then lim (f(x))^2=25 x → a
1 answer
415 views
True or False. Explain.
If lim f(x)=L x → a^+ then lim f(x)=L x → a^-
1 answer
479 views
Optimization: Of all rectangles with perimeter P , the one with the largest area is a square of side length P/4.
True or False
1 answer
427 views
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