09/11/24

A bottle rocket can shoot its projectile vertically to a height of 22.5 m. (You can ignore air resistance.)
I found the appropriate angle to reach max horizontal range was 45, what would the max horizontal range be
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09/04/24

math calc help please
i'm not sure how to approach these questions any help is appreciated! g(x)= arcsin3x/x g(x)=arccosx/x+1
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09/04/24

math calc questions help
integral e^x sin^2(e^x)cos(e^x)dx if k(x) = x √(e^x-3), what is k'(x) i'm not sure how to approach these questions any help is appreciated!
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09/02/24

Solving a matrix with x and y values
How would I solve for x and y in the given matrix problem in the attached image: https://ibb.co/BKJLCFq
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08/28/24

Find the area of the region.
y = ex,  y = x2 − 1,  x = −1,  x = 1
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08/27/24

How to translate each rule into a formula
The distance d in feet and object falls is equal to the product of 16 and the square of the time t in seconds
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01/28/24

calculate the amount of work done on the system from 0-2 and then for the entire curve from 0-5 given the volume and pressure. 
a pressure versus volume diagram for a system is shown in the figure. the values for the points in the diagram are shown in the table (couldn't include the image. points 0,1,2 make a triangular... more
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01/24/24

Determine Increasing/Decreasing and Concavity
Given the function f(x)=x^3−48x^2, determine all intervals on which f is both increasing and concave up. I am also confused about when my teacher tested values and stated whether or not a number... more
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01/22/24

The power (P) delivered to a load by a current of i amperes through a resistance of 9 ohms (when 110V are supplied at one end of the line) is given by the formula P= 110i -9i^2.

Determine the maximum power that can be delivered. Give your answer to four decimal places.
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01/22/24

what minimum force must be exerted by the mechanic at the end of a 29 cm-long wrench to loosen the nut? Answer in units of N.
If the torque required to loosen a nut that is holding a flat tire in place on a car has a magnitude of 43 N · m, what minimum force must be exerted by the mechanic at the end of a 29 cm-long... more
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01/20/24

Electricity and Magnetism question. Please help ASAP!
A uniformly charged insulating rod of length 17.0 cm is bent into the shape of a semicircle as shown in the figure below. The rod has a total charge of −7.50 µC. The link to the figure is... more
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01/12/24

Angular momentum of a rigid body physics problem
I came across this task on a website and have been curious about its solution, but I’m having trouble figuring it out:A cube with side edges d=2m, with homogeneous mass distribution, slides with... more
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01/12/24

How do I solve the following limit?
lim sin(x)^x x→0+ For some context I'm in AP Calculus AB and I just covered L'Hopital's Rule, so I'm allowed to use it where applicable. I've tried using trig identities and logarithms to... more
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01/12/24

Do solid objects or structures vibrate as a whole macroscopically?

I know particles vibrate in a solid microscopically, but the solid object itself does not vibrate right? Does the microscopic vibrations cause the solid object to vibrate macroscopically?
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01/10/24

What is her average angular acceleration during this time interval? Answer in units of rad/s 2 .
A figure skater begins spinning counterclockwise at an angular speed of 4.4 π rad/s. During a 4.0 s interval, she slowly pulls her arms inward and finally spins at 9.0 π rad/s. What is her average... more
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01/01/24

Represent the function 5ln(4-x) as a power series (Maclaurin series) in the format: f(x) = ∞∑n=0 c (subscript) n x (superscript) n
Represent the function 5ln(4-x) as a power series (Maclaurin series) in the format: f(x) = ∞∑n=0 cnxn
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12/31/23

Find 𝑑^2𝑥/𝑑𝑥^2 by implicit differentiation y ^ 2 + x ^ 2 = e ^ sqrt(sin(xy) + ln(xy))
Find 𝑑2𝑥/𝑑𝑥2 by implicit differentiation y2+ x2 = e sqrt(sin(xy) + ln(xy))
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12/24/23

Suppose that R is the finite region bounded by f(x)= √x and g(x)= x/3. Find the object's exact volume when rotating R about the x-axis. Find the exact volume when rotating R about the y-axis
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12/21/23

I have a question:
Two liquids of densities ρ1 and ρ2 (ρ2 = 2ρ1) are filled up behind a square wall of side 10 m. Each liquid has a height of 5 m. The ratio of the forces due to these liquids exerted on upper part MN... more
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12/21/23

What does this sentence mean?- liquid surface is always perpendicular to the net force
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12/19/23

Calculus Differentiation Question
A conical pile of rocks increases in volume at a rate of 16pi/3 cubic feet per minute. When the height of the pile is 30 feet, the radius is 10 feet. What is the rate of change of the height of the... more
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12/03/23

Find the fluid force on a side of the plate.

The plate in the figure is submerged in water with its top level with the surface of the water. The water level is cube root 7 ft. The right and left edges of the plate are the curves y=x^(1/3) and... more
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11/25/23

Q8: Prb 5 - This problem has two parts to this. I will type out the questions for each of the two parts along with additional info in "Description" below.
During an ice skating performance, an initially motionless 75 kg clown throws a fake barbell away horizontally. The clown's ice skates allow her to recoil frictionlessly.Part a) If the clown... more
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11/09/23

Need help, can't answer the question
A high-speed bullet train accelerates and decelerates at the rate of 10 ft/s210 ft/s2. Its maximum cruising speed is 90 mi/h90 mi/h. (Round your answers to three decimal places.)(a) What is the... more
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11/08/23

If x and y are both postive

If x and y are both positive , evaulte lim p -> 0 (ln (o.3x^p+0.7y^p)/p = and lim p-> 0 (0.3x^p +0.7y^p)^1/p=
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