Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize f(x, y) Constraint: 5x + y = 250 = 5x + 5xy + y %3D

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A: The direction vector for the given line x=1+2t,y=2-t,z=3t is: (2,-1,3) And, the required line is…

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A: Solve it.

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A: Here, the given vectors are: u=8i+7jv=-7i+j+2k

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Q: Find the value for k so that the function will be continuous at x = 3. - 10x? – 10x + 120 - 1 if x <…

A: The given function,  f(x)=-10x2-10x+120x-3-1if x&lt;3-7x2-70x-175+kif x≥3

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A: We can solve this as follows:

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A: Here ,              We have given a vector valued function now we have to determine the intervals on…

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = (t2 + 9t)i - 4t²j (a) r'(t) (b) r"(t) (c) r'(t) · r"(t)

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Q: please refer to the

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: I am going to solve the given problem by using some simple calculus to get the required result.

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A: THE SOLUTION IS GIVEN

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A: I am going to solve the given problem by using some simple calculus to get the required result of…

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A: we say at x=a limit exist if the both right and left side limit exits and equal at x=a

Q: Pascal Program to display all powers of 2 that are less than 2000 and display five numbers per line?

A: We have to write pascal program to display all power of 2 that are less than 2000 and display five…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: The given function is: f(x,y,z)=x2+y2+z2 which is to be minimized with the constraint function…

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A: Substitute w=x+2y

Q: Revolution

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Q: x <0 2r3 + 3r2 – 12x, x 0 10xe", f(r) = a. Find all the critical numbers of f. b. Find the extreme…

A: a)  For x&lt;0    Consider f'(x)=0  ⇒10(ex+xex)=0  ⇒10ex(1+x)=0  ⇒1+x=0  ⇒x=-1For x≥0Consider…

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Q: Find the values of constants a and b that make f continuous on (-o0, +o0) where 2x +1 if a 5 f(x) =…

A: Use definition of continuous function and find the value of a and b

Q: ꭍkg(x)dx=___ where k is a constant * a.(k/2)ꭍg(x)dx b. ꭍg(x) c. kꭍg(x)dx d.1

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Q: p v (~ q ^ r)

A: Follow the given table below.

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Q: Determine whether the following series is convergent or divergente: 00 (-1)" 2-n4 +2

A: We can solve thus as follows:

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Q: 2. In the differential equation 4(3x+ y-2)dx-(3x+ y)dy =0, we let

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A: Let's find.

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A: We will find the possible age of Rojana and AJ in the following step.

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A: A man 167.68 cm tall is walking directly away from a lamp post fronting a building at the rate of…

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Q: 13.Using integration by substitution in f'æ° (x® – 2)*dæ ,what is du? O A (26 – 2)³ dx (xº – 2)dr…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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