Find the concavity, point of inflection, of f(u)=e^(-(u^n/n) ) Where n is your arid number for example if your arid number is 19-arid-1234 then n=1234. Also explain it geometrically.
Q: A steel ball weighing 2 lb is dropped from a height of 3000 ft with no velocity. As it falls, the…
A: Locate the coordinate system with ground x = 3000 , w = 2lb , k = 1/8 Assuming g is 32 ft/s W =…
Q: A conical paper cup is 20 cm tall with a radius of 10 cm. The bottom of the cup is punctured so that…
A: NOTE: Refresh your page if you can't see any equations. . height of the cone s h=20 and the radius…
Q: A reservoir has the shape of a right-circular cone with its vertex down. The altitude is 10 m, and…
A: Step 1 Given dV/dt= 20 π m3/min find dh/dt = ? when h= 5m
Q: y" - (r+ 1)y + ry = r,
A:
Q: A television camera is positioned 4000 ft from the base ofa rocket launching pad. The angle of…
A: Given, The distance of the television camera from the base of a rocket launching pad is a=4000 ft.…
Q: ifferentials to estimate the amount of paint needed to apply a coat of paint 0.05cm thick to a…
A:
Q: A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the…
A:
Q: The top of an elastic rope (whose length can change) is fixed on the wall at the height of 3 meters…
A: Suppose the bottom end of the rope is x m away from the wall while it's length is l m after t…
Q: A spherical balloon is being inflated at a constant rate, such that the volume of the balloon…
A:
Q: A rectangular shaped region is changing with time and increasing in the x direction at the rate of 2…
A:
Q: I am enjoying a well-packed (right cylindrical - I have already eaten away all curvature on top!)…
A:
Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…
A:
Q: Gordon is making a chocolate dome by coating a plastic dome with a layer of chocolate 2 mm thick. If…
A: Answer: 40π cm³ or 125.66 cm³
Q: A ball is thrown vertically upward with a speed of 15 m/s. Determine the maximum height and the time…
A: Find maximum height and time to reach that's height
Q: An open hemispherical container has radius 20 feet. Honey begins flowing into the tank in such a way…
A: Given: Radius of he hemispherical container is 20 feet. Rate of change of depth is 4 feet/hr. The…
Q: Liquid is escaping from a conical funnel at the rate of 3 cm3 /min. If the top of the funnel has a…
A: Given, r= 4 cm h= 20 cm dV/dt= 3 cm³/min Therefore, r/h= 4/20= 1/5 r= h/5
Q: A point moves along the curve y = √x in such a way that the y-value is increasing at a rate of 2…
A:
Q: A runner starts on the east side of a circular track of radius 300 feet. Let’s say their inital (x,…
A:
Q: Water is flowing at the rateof 6 m3/min from a reservoir shaped like a hemispherical bowl ofradius…
A: Given The equation of the volume is V=π3y23R-y Radius of the hemisphere is R=13 m Water flowing…
Q: I do not know how to sketch. Please explain the process of sketech. Also，when change the order， how…
A:
Q: A logistics company is planning to produce a closed box as. The required surface area of the said…
A:
Q: an open hemispherical container has radius 20 feet. honey begins flowing into the tank in such a way…
A: Let depth be h. Volume of the honey in the container is: Also, radius of circular surface is:…
Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min.…
A: We will solve the following
Q: Use differentials to estimate the amount of paint needed to apply a cost of paint 0.06 cm thick to a…
A: It is given that a paint cost 0.06 cm is applied to a hemispherical dome whose diameter is 54 m.…
Q: A spherical balloon is to be deflated so that its radius decreases at a constànt rate of 18 cm/min.…
A:
Q: A container which has a shape of cone is full of sand. The container stands point down and has a…
A:
Q: Show that a constant function f(x) = b has an average rate of change of 0. Compute the average rate…
A: for a constant function f(x) = b average rate of change is zero because function is same for all…
Q: A box with a square base has the sides of the base increasing at 6 m/sec and the height of the box…
A:
Q: A car weighing 2,800 lbs is driving on a mountain at a velocity of 60 mph, approaching a fish-hook…
A:
Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 11…
A: Let r and h be radius and height of tin can Then r varies from 4 cm to 4.04 cm and height changes…
Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…
A:
Q: A container which has a shape of cone is full of sand. The container stands point down and has a…
A:
Q: A leaky 10-kg bucket is lifted from the ground to a height of 12 m at a constant speed with å rope…
A:
Q: Use differentials to estimate the amount of paint needed (in m³) to apply a coat of paint 0.07 cm…
A:
Q: A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the…
A: we know that volume of right crcular cylinderV=πr2hdifferentiate…
Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 13 cm/min.…
A:
Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.4 cm/min.…
A:
Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a…
A: The diameter of the hemispherical dome is 42m.The volume of the hemisphere is,
Q: A leaky 10kg bucket is lifted from the ground to a height of 12m at a constant speed with a rope…
A:
Q: Next, we must find the total distance traveled by the particle in the given time interval. This is…
A: To find the interval for which the velocity is negative and positive.
Q: A leaky 10-kg bucket is lifted from the ground to a height of 12m at a constant speed with a rope…
A:
Q: Water is being drained at a rate of 50 m3/min from a concrete conical reservoir (vertex down). The…
A:
Q: A ball is inflated at a rate of 200x cubic inches per second. Find the rate at which the radius is…
A:
Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 12 cm and height…
A: The volume of a cylinder is given by the expression . Thus the volume of a thin cylinder is obtained…
Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.04 cm thick to a…
A:
Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.2 cm/min.…
A: Since the radius of the spherical show ball is decreasing so the boli of the snowball is also…
Q: A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min.…
A: We know volume of a sphere of radius r is, V= (4/3)πr³ Doing implicit differentiation on both sides…
Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 10 cm/min.…
A: Derivative the volume of sphere with respect to t and then put subsequent values.
Q: Find the maximum rate of change of the function f(r, y) 4y² at the point (4,2) Question Help: OVideo…
A:
Find the concavity, point of inflection, of f(u)=e^(-(u^n/n) ) Where n is your arid number for example if your arid number is 19-arid-1234 then n=1234. Also explain it geometrically.
Step by step
Solved in 6 steps with 1 images
- How are the absolute maximum and minimum similar to and different from the local extrema?A logistics company is planning to produce a closed box as. The required surface area of the said box is 192m^2 and according to the specification, the box has a length twice the width. Now, the planner wants to know the dimension of the box that will make the volume as large as possible. Note: Use 2nd derivative test method.A rectangular shaped region is changing with time and increasing in the x direction at the rate of 2 units/sec and decreasing in the y direction at the rate of 0.5 units/sec. How does the diagonal change when x=4 and y=6? Is the diagonal increasing or decreasing at this moment?
- Use differentials to estimate the amount of metal in a closed cylindrical tin can with diameter 8 cm and height 12 cm if the metal on the top and the bottom is 0.2 cm thick and the metal on the sides is 0.1 cm thick.Use differential approximations to estimate the change in average cost per racket if the production is increased from 20 per hour to 24 per hour. Round to the nearest cent. $ per racket NOTE: Your answer may be negative. screenshot attachedUse differential approximations to estimate the change in average cost per racket if the production is increased from 20 per hour to 25 per hour. Round to the nearest cent. $ per racket NOTE: Your answer may be negative.
- A car weighing 2,800 lbs is driving on a mountain at a velocity of 60 mph, approaching a fish-hook with a turning radius of 180*. The speed limit for the turn is 20 mph. The complete turning radius distance of the turn is 0.05 miles. What is the minimum braking force required to successfully complete the turn without losing control?A hand-tossed pizza base starts off as a ball of dough with a volume of 400π cm3. First,the cook stretches the dough to the shape of a cylinder, then the cook tosses the dough. Ifduring tossing, the dough maintains the shape of a cylinder and the radius is increasing ata rate of 15 cm/min, how fast is its thickness changing when the radius is 20 cm?[Use differentials to estimate the amount of paint needed toapply a coat of paint 0.05 cm thick to a hemispherical domewith diameter 50 m.
- A television camera is positioned 4000 ft from the base ofa rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep therocket in sight. Also, the mechanism for focusing the camera has to take into account the increasing distance fromthe camera to the rising rocket. Let’s assume the rocketrises vertically and its speed is 600 fts when it has risen3000 ft.(a) How fast is the distance from the television camera tothe rocket changing at that moment?(b) If the television camera is always kept aimed at therocket, how fast is the camera’s angle of elevationchanging at that same moment?A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the radius is 12 cm. (Note the answer is a positive number).If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt. Then, suppose oil spills from a ruptured tanker and spreads in a cricular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 30 m? *Please use handwriting not type script, i understand it better that way. thank you. Also, please label your known and knowns and draw a diagram*