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# 03=78i [ 8 L { 3 3 8 1 8 {1 1 1 3 3 3 8 8 1 8 2 1 8 38 5...

## Question

###### 03=78i [ 8 L { 3 3 8 1 8 {1 1 1 3 3 3 8 8 1 8 2 1 8 38 5

03=7 8i [ 8 L { 3 3 8 1 8 { 1 1 1 3 3 3 8 8 1 8 2 1 8 3 8 5  #### Similar Solved Questions

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##### 2 F+Cratc ArnRerq 1 _ m41= 0 Vj9 427 -pVg Moete ? g6465( 75 1 73= 26du(etz 0}Atet
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##### Prove the value of each limit if it exists If the limit does not exist explain why:ry2 r2y lim (I,y) '(0,0) (22 74y29372sin(r? +y?) lim (T,u)-(0,0) I2 +y2Determinc the set of points at which cach function is continuous_ Be sure your answer is justified.212+yz (â‚¬,y) # (0,0) f(c,y) = (1,y) (0,0)G(T,y) = tan (+9)The partial derivative of function f ( ,y) with respect only to the independent variable = is defined as f(c +hu)_ f(E,u) fz(T,y) Limn h+0Use this definition to derive the partial de
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##### The ancient Greeks used a geometric method for completing the square in which they literally transformed a figure into a square.a. Write a binomial in $x$ that represents the combined area of the small square and the eight rectangular stripes that make up the incomplete square on the left.b. What is the area of the region in the bottom-right corner that literally completes the square?c. Write a trinomial in $x$ that represents the combined area of the small square, the eight rectangular stripes,
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##### B) Evaluate the sum obtained in (a) and evaluate the limit of the sum as n 17 C0_Hint:i= " +42] 2(c) Calculate directly the area under the graph of y 3t between t = 1 and t = 2. and compare it with the answer to (6) (d) Evaluate f2 3t dt using the Fundamental Theorem of Calculus and compare it with the answer to (b)_
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##### 7. (8 points) The gradient vector V f at point P and four unit vectors Via U2; Ug; U4, are shown in the figure to the right. (Note: Each directional derivative is evaluated at the point and the function f is differentiable at P.) Circle one. No justifcations necessary! (a) Duf(P) is: positive negative zeroDuzf(P) is:positivenegativezetoDugf (P)positivenegativezeroDuaf(P) is:positivezeronegative
7. (8 points) The gradient vector V f at point P and four unit vectors Via U2; Ug; U4, are shown in the figure to the right. (Note: Each directional derivative is evaluated at the point and the function f is differentiable at P.) Circle one. No justifcations necessary! (a) Duf(P) is: positive negati...
##### (Modeling) Solve each problem. See Example 4 Postage Charges Assume that postage rates are $\$ 0.49$for the first ounce, plus$\$0.21$ for each additional ounce, and that each letter carries one $\$ 0.49$stamp and as many$\$0.21$ stamps as necessary. Graph the function $f$ that models the number of stamps on a letter weighing $x$ ounces over the interval $(0,5]$
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##### 41-2Evaluate the integraldz dy dxdz dy dx=(Type a simplified fraction )
41-2 Evaluate the integral dz dy dx dz dy dx= (Type a simplified fraction )...