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Calculus 1
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Find the instantaneous velocity, using limits, for the given value of t of an object moving according the given equation.
a.
5 answers
asked by
TayB
424 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
3 answers
asked by
TayB
443 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
5 answers
asked by
TayB
8,440 views
Find the horizontal and vertical asymptotes of (3x^2-48)/(x^2-3x+10)
4 answers
asked by
TayB
369 views
Find the slope of the tangent line and the equation of the tangent line to f(x)=x^2-x at x=3
4 answers
asked by
TayB
360 views
Find the derivative of f'(x) of f(x)=4sqrt(x) using limits
4 answers
asked by
TayB
417 views
Differentiate.
f(x)=5sqrt(x)sinx
2 answers
asked by
TayB
525 views
Find the derivative of the function.
y=(e^3u -e^-3u)/(e^3u+e^-3u)
1 answer
asked by
TayB
352 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
5 answers
asked by
TayB
6,000 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)
3 answers
asked by
TayB
520 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
3 answers
asked by
TayB
868 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).
5 answers
asked by
TayB
4,210 views
Find y' if y=ln(9x^2+7y^2).
4 answers
asked by
TayB
903 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
2 answers
asked by
TayB
580 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
2 answers
asked by
TayB
595 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
3 answers
asked by
TayB
941 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
3 answers
asked by
TayB
2,559 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
2 answers
asked by
TayB
768 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
3 answers
asked by
TayB
1,592 views
Find the numerical value of each expression. (Round your answers to five decimal places.)
(a) cosh 9 (b) cosh(ln 9)
6 answers
asked by
TayB
4,094 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=
4 answers
asked by
TayB
2,164 views
Find the linear approximation of the function g(x)=cube root(1+x) at a=0.
4 answers
asked by
TayB
3,487 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
4 answers
asked by
TayB
471 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
5 answers
asked by
TayB
2,490 views
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter
3 answers
asked by
TayB
2,858 views
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter
4 answers
asked by
TayB
860 views
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter
4 answers
asked by
TayB
2,489 views
Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer
3 answers
asked by
TayB
1,508 views
find the critical numbers of the function
F(x)=x^(4/5)(x-1)^2
3 answers
asked by
TayB
1,563 views
Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that
2 answers
asked by
TayB
592 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]
2 answers
asked by
TayB
589 views
Find the absolute maximum and absolute minimum values of f on the given interval.
f(x) = (e^−x)*(− e^−6x), [0, 1]
5 answers
asked by
TayB
782 views
A family wants to fence a rectangular play area alongside the wall of their house. The wall of their house bounds one side of
3 answers
asked by
Grant
1,662 views
a power station needs to supply power lines to a location 10 miles downstream and on the other side of a river that is 0.75
1 answer
asked by
chelz
411 views
Locate the absolute extrema of the function f(x)=Sinpix on the closed interval [1,1/3]
3 answers
asked by
Justin
856 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 =
2 answers
asked by
TayB
767 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
4 answers
asked by
TayB
1,353 views
Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated
2 answers
asked by
TayB
1,056 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
4 answers
asked by
TayB
2,031 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
4 answers
asked by
TayB
1,050 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
5 answers
asked by
TayB
2,243 views
Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your answers as a comma-separated
2 answers
asked by
TayB
956 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
5 answers
asked by
TayB
768 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]
5 answers
asked by
TayB
3,305 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
3 answers
asked by
TayB
1,002 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 +
2 answers
asked by
TayB
574 views
Find the local maximum and minimum for the function
f(x)=2x^3-3x^2-120x+10
1 answer
asked by
TayB
351 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
asked by
TayB
401 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 =
4 answers
asked by
TayB
772 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 =
5 answers
asked by
TayB
3,506 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
asked by
TayB
450 views
Find the formula for a function of the form y=bxe^(-ax) with a local maximum at (4,12)...
4 answers
asked by
Maria
3,121 views
Find the limit.
lim x->0 (e^(6/x)+8x)^(x/2)
1 answer
asked by
Kate
412 views
sand is being poured onto the ground forming a conical pile whose height equals 1/4 of the diameter of the base. The sand is
1 answer
asked by
ben
1,085 views
Rick has 1200 feet of fence that he wants to use to enclose a rectangular garden. Find the maximum area the garden can have.
3 answers
asked by
SAM
585 views
If each edge of a cube is increasing at the constant rate of 4 cm/s. How fast is the volume of the cube increasing when the
3 answers
asked by
Dhrupal patel
2,095 views
Water is flowing into a vertical cylindrical tank of diameter 4 m at the rate of 2 m3/min. Find the rate at which the depth of
4 answers
asked by
Dhrupal patel
1,737 views
If each edge of a cube is increasing at the constant rate of 4 cm/s. How fast is the volume of the cube increasing when the
2 answers
asked by
Dhrupal Patel
647 views
In the problem, x and y are differentiable functions of t. Find dx/dt when x = 9, y = 2, and dy/dt= 2.
x^3y^2 = 2916
2 answers
asked by
Dhrupal Patel
762 views
In the problem, x and y are differentiable functions of t. Find dx/dt when x = 3, y = 4, and dy/dt= 2.
x^2 + y2^2= 25
1 answer
asked by
Dhrupal Patel
402 views
In the problem, x and y are differentiable functions of t. Find dx/dt when x = 3, y = 4, and dy/dt= 2.
x^2 + y2^2= 25
1 answer
asked by
Dhrupal Patel
368 views
In the problem, x and y are differentiable functions of t. Find dx/dt when x = 3, y = 4, and dy/dt= 2.
x^2 + y2^2= 25
1 answer
asked by
Ravi Shankar
430 views
A filter filled with liquid is in the shape of a vertex-down cone with a height of 12 inches and a diameter of 18 inches at its
4 answers
asked by
Krystal
1,881 views
At 2:00 pm a car's speedomoter reads 20 mph, and at 2:10 pm it reads 25 mph. Use the Mean Value Theorem to find an acceleration
2 answers
asked by
Val
856 views
A kite 100 ft above the ground moves horizontally at a speed of 9 ft/s. At what rate is the angle (in radians) between the
5 answers
asked by
Coleen
2,819 views
((1/x)-(1/a))/(x-a) how to solve
1 answer
asked by
Anonymous
309 views
Hi! Could someone help me with this problem.
You have 8L feet of fence to make a rectangular vegetable garden alongside the wall
2 answers
asked by
Emily
1,047 views
Hi! Can I get some help with this questions. I am very confused about how to approach it.
Find the point on the curve y=5x+4
6 answers
asked by
Claudia
616 views
y= 3/x^3; [1,3]
Find the area under the graph of the function over the integral given. The book answer is 4/3
1 answer
asked by
Amy
414 views
Find the positive critical point of the function f(x)=x/(x^6+9)
2 answers
asked by
Jenna
833 views
A 16 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how fast will the foot be moving
4 answers
asked by
Katherine
7,381 views
I have no idea how to approach this problem.
Guess the value of the limit if it exists by evaluating the function at the given
1 answer
asked by
Peopsh8
308 views
Explain whether the statement is true and give an explanation or a counterexample:
If lim f(x) = ∞ and lim g(x) = ∞ , then
2 answers
asked by
ʕ•́ᴥ•̀ʔ
527 views
A police car is located 60ft to the side of a straight road.
A red car is driving in the direction of the police car and is 90 ft
3 answers
asked by
Peopsh8
1,820 views
A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4cm/min. At what rate is the volume
2 answers
asked by
Peopsh8
936 views
A 440-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows that all rooms are typically
4 answers
asked by
Peopsh8
1,407 views
Find the equation of the tangent line to the curve y=6xcosx at the point (pi,-6pi)
The equation of this tangent line can be
4 answers
asked by
Rpeep
1,791 views
I know it's hard to draw a graph here, but I just need an explanation of both if possible. I appreciate any help I can get! :)
"D
3 answers
asked by
Beige
444 views
Let f(x)=e^(2x)-kx, for k greater than 0.
Using a calculator or computer, sketch the graph of f for k=1/9, 1/6,1/3,1/2,1,2,4.
2 answers
asked by
John
614 views
A stone is thrown straight down from the edge of a roof, 825 ft above the ground, at a speed of 5 ft/sec.
A. Given that the
4 answers
asked by
Anonymous
262 views
Write the composite function in the form f(g(x)).
[Identify the inner function u = g(x) and the outer function y = f(u).] (Use
1 answer
asked by
Miya
79 views
Write the composite function in the form f(g(x)).
[Identify the inner function u = g(x) and the outer function y = f(u).] (Use
2 answers
asked by
Miya
87 views
The path of a particle moving in a straight line is given by s=t³-6t²+9t+4 find s and a when v=0
1 answer
asked by
Branny
140 views
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