01/27/22

The function F is such that F(x)=(3x+2)^3-5 for x>0. Obtain an expression for F'(x) and hence explain why F is an increasing function?
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01/27/22

What is the magnitude of the charges?
Two-point charges, A and B, are separated by a distance of 23cm. The magnitude of the charge on A is twice that of the charge on B. If each charge exerts a force of magnitude 45N on the other, find... more
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01/27/22

3. Jayson is pulling a 100kg wagon with a force of 100 N. The handle has an angle of 30° from the ground. If the wagon is on a frictionless surface, hew fast is the wagon accelerating?
Please answer today this assignment is due tmrw morning
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01/23/22

electric potential in a circuit is given by V(t) = − 5 sin(3t)
electric potential in a circuit is given byV(t) = − 5 sin(3t)with V in volts and t in seconds. Compute the rate of change of V at the instant t = 1 second. Your answer must be accurate to one... more
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01/22/22

Find the area between curves
y = 12 - x, y = √x, and y = 1Determine its entire area in units 2Area =
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01/22/22

what are two equations that would have a solution of (3,6)?
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01/21/22

write the slope intercept form of the equation of the line described

through: (-5,2), parallel to y= 1/5x -1
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01/21/22

Two small, identical metal balls with charges 7.0 µC and 14.0 µC are held in place 1.9 m apart. In an experiment, they are connected for a short time by a conducting wire.
a) What will be the charge on each ball after this experiment?new charge on 7.0  µC ball = ? µCnew charge on 14.0  µC ball = ? µC(b) By what factor will the magnitude of the electrostatic force on... more
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01/19/22

question in descriptions

a pendulum swings back and forth between the angles, in standard position, of 210degrees and 330degrees. if the pendulum is 38cm long, what is the exact horizontal distance the tip of the pendulum... more
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01/19/22

Lagrange multipliers, help!!
a) Write down the equations to find the point on the surface (x+y)z2=1 in the first octant, closest to the origin, using the method of Lagrange multipliers.b) Solve these equations to find the... more
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01/19/22

Stuck on this calculus problem, please help!
f(x,y)=3xy^2-x-ya) find the equation of the tangent place to the graph of f(x,y) at the point (2,1,3)b) use the linear approximation to estimate the value of f(2.1,0.9)c) find the directional... more
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01/15/22

Physics: Highschool level (oscillatory motion and mechanical waves)
A horizontal mass-spring system has a mass M attached to a spring that oscillates back and forth at a frequency of 0.800 Hz. Determine the frequency in the following cases.(a) The mass is... more
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01/12/22

A spherical ballon is inflated with helium of a rate 90pi ft^3/min. how fast is the balloons radius increasing when the radius is 3ft?
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01/05/22

Push away problem
An 80 kg astronaut floating in space is 30 m away from his spaceship. He wants to return to his spaceship in 10 s. With how much speed must he throw his 2 kg space hammer, directly away from the... more
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12/20/21

At that speed, what is the radial acceleration of the ball?
A ball of mass 5.0 kg is suspended by two wires from a horizontal arm that is attached to a vertical shaft, as shown in the figure. The shaft is in uniform rotation about its axis. The rate of... more
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12/15/21

A spherical balloon is inflated so that its volume is increasing at the rate of 7 ft3/min. How rapidly is the diameter of the balloon increasing when the diameter is 5 feet?
A spherical balloon is inflated so that its volume is increasing at the rate of 7 ft3/min. How rapidly is the diameter of the balloon increasing when the diameter is 5 feet?
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12/15/21

A small stone is dropped into a still pool, creating a circular ripple that moves outward from the point of impact at a constant rate
How is the area enclosed by the ripple changing after 2 s if the circumference of the ripple is changing at a rate of 2π m/s at this instant?
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12/15/21

Physics newtons laws
A 18 kg chimpanzee hangs from the end of a horizontal broken branch. The branch sags downward through the vertical distance of 9 cm . Treating the branch as a spring satisfying Hooke's law what is... more
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12/14/21

A 0.150kg glider...
A 0.150kg glider slides on an ice pond with negligible friction with speed of 0.8 m/s. It has a head-on-collision with a 0.300 kg glider with a speed of 2.2 m/s moving from the left. Find the final... more
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12/14/21

A 85-kg swimmer...
A 85-kg swimmer dives horizontally off a 500-kg raft. The diver's speed immediately after leaving the raft is 9.0 m/s. A micro-sensor system attached to the edge of the raft measures the time... more
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12/14/21

A mouse in a maze scurries 41 cm south and then takes a 90-degree turn and scurries 64 cm west to get a piece of cheese. Find the mouse’s displacement.

A) 105 cmb) southwestc) 76 cm southwestd) zeroi also need help with this one: what is the range of a bullet fired horizontally at a height of 1.5 m with an initial velocity of 120 m/s?a) -9.8... more
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12/13/21

pl answer this question
Point C is  3/4 of the way from point A(­4, –2) to point B(8, 6). What are the coordinates of C?
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12/13/21

Rody hit a serve measured at 153 mi / h. How much work was required by Andy to serve a 2-oz tennis ball at that speed?

If possible, apply concepts from 'Applications of Definite Integrals' in Calculus.
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12/01/21

A uniform disk of radius 35.1 cm and mass 600 g is rolling across
A uniform disk of radius 35.1 cm and mass 600 g is rolling across a horizontal surface without slipping with a linear speed of 30.3 cm/s.A. What is the angular velocity of the... more
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11/30/21

Algebra Mechanic System of Equations Question
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of 1600. What was the rate charged per hour by each... more
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