z=x^6ln(y^4) Answer in this form: dz=(_______)dx(_________)dy Thanks!
23 Aug 2021Suppose the terperature at 12:00 noon is increasing at an(instantaneous) rate of 3 degrees F. per hour. What is the rate ofchange of the temperature in degrees C. per hour. Hint: Therelationship between degrees F. and degrees C. is linear, zero (0)degrees C equals 32 degrees F, a...
23 Aug 2021A train travels along a tack at a constant speed of 50 miles perhour from 12:00 noon to 1:00pm. At 1:00 pm it slows gradually andcomes to a halt at 1:15 pm. It travels a distance of 6 milesbetween 1:00 pm and 1:15 pm. What was the average speed of thetrain between 12:00 noon and ...
23 Aug 2021y=(12x)/(x^24)Answer:local min: (-2,3); local max: (2,3); inflection points: (0,0),(-2sqrt 3,-3sqrt 3), (2sqrt 3,3sqrt 3)The original question is asking to graph and find thecoordinates of any local and absolute extreme points. Iwas able to find the local min and max but Im stuck...
23 Aug 2021Evaluate the limit, if it exists:Lim (x->x/2) x^2 cos xLimit of x^2 cos x as x approachesx/2 (reworded)Thank you
23 Aug 2021Given:f(x)=(1)/(x-5)^6 find: f (6)a. -1/7b. -6c. 1d. 7Please show work
23 Aug 2021determine the derivative ofA) 14 x34 x216 x 16 5 x23 x10B) 16 x410 ex14x3 16
23 Aug 2021Find the area shared by:the circle r=4 andthe cardioid r=4(1-cos(theta)).
23 Aug 2021DiligentJewel896
23 Aug 2021What is the general solution to y=3y-5?
23 Aug 2021The length of a rectangle is increasing at a rate of 18 cm/s andits width is decreasingat a rate of 8 cm/s. When thelength is 46 cm and the width is 16 cm, at what rate is the area ofthe rectangle changing?
23 Aug 2021Find the volume between the graph of the function f(x,y)=sinxcosyand the region R={\((x,y)| 0f
23 Aug 2021The velocity (in meters/sec) of a particle moving along a straightline is given by vt ) = [3/(?{t1})] ?1?{t1} ?1 , where t ismeasured in seconds.Answer the following questionsgiven that the initial position s (0) = 4.What is the meter position of the particle at any given timetWh...
23 Aug 2021Would I have 2 cylindrical shells regarding this problem? Howwould I attempt to solve this?Find the Volume of the cylindrical shell rotated around they-axis of y=x^3, y=0, x=1, x=2
23 Aug 2021find the volume of the solid under the plane x2y-z=1, and abovethe region bounded by xy=1 and x^2y=1.
23 Aug 2021Find the flux of the vector field F across the surface S intheindicated direction.F = 8xi 8yj 2k, S is the surface cut from the bottom oftheparaboloid z = x2y2by the plane z = 3,direction is outward.
23 Aug 2021Sketchr = 2/cos(theta (pi/6))Showthe cartersian coordinates of one or two points on the curve.
23 Aug 2021the function s=-t^33t^2-3t, 0a. find the bodys displacement and average velocity for thegiven time intervalb. find the bodys speed and acceleration at the endpoints of theintervalc. when, if ever, during the interval does the body changedirection?what is the bodys displacement fo...
23 Aug 2021f(x)=-x^29, -3
23 Aug 2021when a circular plate of metal is heated in an oven, its radiusincreases at a rate of 0.02 cm/min. at what rate is the plates areaincreasing when the radius is 58cm?the rate of change of the area is ? cm^2/mintype an exact answer in terms of pi
23 Aug 2021find the function y(x) satisfying dy/dx=8x-3 and y(2)=0y(x)=?
23 Aug 2021Find the equations of the tangent lines to thegraph of y = x2 that pass through (1;-1).
23 Aug 2021A spherical ball of dry ice is evaporating at arate proportional to its surface area. Its volume decreases from100 cubic centimeters at 5pm to 80 cubic centimeters at 6pm.(a) Find the volume as a function of time.(b) When will the ball of dry ice be completely evaporated?
23 Aug 2021Carbon 14 has a half life of 5700 years. A wooden table ismeasured with 90% of Carbon 14 compared with a newly cut tree. Findthe age of the table. Please show work. Thank you
23 Aug 2021taylor series when x=0 , what is f(x) = ln (x)
23 Aug 2021find a vector perpendicular to the plane spanned by the pointsP(1,-1,0), Q(2,1,-1) and R(-1,1,2)
23 Aug 2021Help solving, Solve for F(steel) and F(Aluminum). The problem issomewhat already solved just solve for equation below.Also how would input into calculator.F(al) F(st)= 80kipL (al)= 2inchesL(st)= 1inch((F(al)L)/(3(pi)(10.6MSI))=((F(st)L)/((pi)(29MSI))F(al)=1.90655F(st)F(st)= ?? k...
23 Aug 2021Convert to Cartesian coordinate r=1sin(teta)Convert to Cartesian coordinate r=1sin(teta)
23 Aug 2021A house is located at each corner of a square with side lengthsof 10mi. What is the length of the shortest road system withstraight roads that connects all of the houses by roads (that is aroad system that allows one to drive from any house to any otherhouse)? (Hint: Place two pi...
23 Aug 2021When doing the integration technique rather than solving itusing a table poses a problem for me....I know its the intergral of f(t)(e^-st) dt. but say we have f(t)= 3 e^(4t)... Would I multiply it like this (3 e^4t)(e^-st) or3 e^4t(e^-st)
23 Aug 2021Poiseuilles Law for Blood flow states that the volume flowingthrough an artery is proportional to the fourth power of theradius, that is, V=k*r^4 for some positive constant k. a.) Calculate the differential dV from this equation. b.) Use the differential to estimate the (absolu...
23 Aug 2021A particle with mass m on a straight line is being pushed andpulled by a force of magnitude F(t)=F0 sin(wt)F0 is the amplitude of the forceand w is the frequency at which it oscillates. m,F0, andw are constants.
23 Aug 2021A rope that hangs between two poles x= -ln2 and x=ln2 takes theshape of a Catenary, with equationy(x)=1/4(e^x e^-x)find an integral for the length of the rope and compute it
23 Aug 2021Find a polar equation of the hyperbola (x/9)2?(y/5)2=1r^2=note use it for theata
23 Aug 2021please show work!!the position function of a particle in rectilinear motion is:S(t)=(t^3)-(3t^2)3t1, t>/=0. find the times the particlestops, speeding up, slowing down.
23 Aug 2021An aquarium has a square basemade of slate costing 8
23 Aug 2021y4y=8cos(2x)
23 Aug 20211. 4y"4y-5y, f(0)=2, f(0)=-2solve the differential equation by laplaced transformation.1. y"-4y4y=e^2t, y(0)=1, y(0)=-32. y"-8y25=0, y(0)=1, y(0)=4
23 Aug 2021If p(x)= x^5-3x^42x-1, how do I show there is a zeroof the polynomial p(x) in the interval (2, 3) using the valuetheorem?show logical steps please. im stuck.
23 Aug 2021These two problems are linked and Im having issues with thesesteps:can someone show how to find the domain of x-2/ sq rt(x2) andthen find the derivative of the functiong(x)=(x^2x1)^10* tan^3* x.Will reward.
23 Aug 2021Suppose an object moves with positionR(t)=sin(t)it^3/2jcos(t)kCompute A. Velocity B. Speed C. Acceleration D. Tangentialcomponent of acceleration E. Normal component of acceleration
23 Aug 2021Find the distance between the line: x=3t-1, y=1, z=2t and theline that contains the points (1,4,0) and (4,8,1)
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23 Aug 2021%253Cdiv%2520style%253D%2522visibility%253A%2526nbsp%253Bhidden%253B%2526nbsp%253Boverflow%253A%2526nbsp%253Bhidden%253B%2526nbsp%253Bposition%253A%2526nbsp%253Babsolute%253B%2526nbsp%253Btop%253A%2526nbsp%253B0px%253B%2526nbsp%253Bheight%253A%2526nbsp%253B1px%253B%2526nbsp%253Bw...
23 Aug 2021Can someone please help me with starting on this question? Argue that [int,0,pi] ((e^-x^2)/x)dx diverges, or find itsvalue.Thanks!
23 Aug 2021You have been recording temperature on a digital thermometer.You notice thatin 5v min the temperaturedropped from 75 degreesf to64 degrees f. You want to report the average. How would you findit?
23 Aug 2021lim t>>>0 1/t - 1/ e^t -1
23 Aug 2021Findall critical points of the function h(x)= x 1/x
23 Aug 2021g(t)= te^-t, for t>0. Find all exact global min and maxvalues ofthis function.
23 Aug 2021the velocity of a particle moving along the x-axis is v(t)=-(t-1)^22 for 0 is less than or equal to t is less than or equalto 6.If at time t=0 the particle is at the origin, find the locationof the particle at time t=3.
23 Aug 2021