Suppose f(x,y) is differentiable infinitely many times (so that partial derivatives of all orders exist). If a f(1,2)> 0 and dyf(1,2) = a,f(1,2) = 0, then f(1,2) is a local minimum . O True False

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A: Newton's law of cooling is;dTdt=-k(T-Ta)dT(T-Ta)=-k dt(T-Ta)=C e-ktT=Ta + C e-kt

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A: Solve by series 

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A: We will find the closest point on the given plane as following.

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Q: Suppose that dz converges. What can we conclude about the constant p? Op>1 Op Op< 3

A: Explanation of the answer is as follows

Q: bounded by + 22 %3D

A: z&gt;0z=x2+y2z=1-x2-y2Intersection;x2+y2=1-x2-y2x2+y2=1-x2-y22x2+2y2=1x2+y2=12x2+y2=(12)2;  circle w...

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A: Given the roots of the polynomial.

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A: We can solve limit as follows  

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A: Given query is to find indicated derivative.

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A: there are 7 rows excluding the partial row. and there are 8 soldiers in the back row.

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A: Given query is to find the derivative if the expression.

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A: Topic = Derivtive

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A: ddxx+1x  

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A: According to Bartleby only first question can be solved at a time. But I solved first two please lik...

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A: 1.h=10t - 0.83 t2Velocity is the derivative of the height.V=dhdt=10-1.66 ta. Velocity after 3 s;V=10...

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A: Solution is written in below steps.

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A: Find your answer below 

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Q: the derivatives of the following

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A: Length=integration of  square root of 1+(f'(x)) 2

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

A: If f(x) has an absolute maximum at x=c if f(x)≤f(c) for every x in the domain . If f(x) has an absol...

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Q: Does the following series converge or diverge? (-1)" Σ n=1 7n° +5 6

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Q: 1-4sect + sin² t (Ans: d tant dt cost - 4 cost(cost – 4)

A: Topic = Derivative

Q: Find the derivative of the function. (e) = (3t + 18)2/3 f "(e) =

A: Given f(t) = 3t+1823f'(t) = d3t+1823dtwktdf(t)ndt = n·f(t)n-1·f'(t)

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A: Solution is written in below steps.

Q: 1 (a) Use the trigonometric substitution x=5 tan 0 to calculate the indefinite integral dx. Show you...

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Q: ( ग০) (১০ for the following func tion ? -WX-+5inZっメー +SinZっメー

A: w=x2+y2-z+sin zx+y=z(∂w∂y)x =ddy(x2+y2-(x+y)+sin(x+y))            =[0+2y-1+cos(x+y)(0+1)](∂w∂y)x =2y...