3.) Y + y = x" ן1

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A: Maximize f(x,y)=4x+4xy+y Constraint: 4x+y=200.

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A: Given: Complex number 6+5i

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A: f(x) is discontinuous at points where f(x) is undetermined.

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A: As per our guideline we are supposed to be answer only one question you can repost other questions…

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Q: 4. Let f, g be the functions R → R given by 5- 3r if r 1, { if z 5 f(z) = { g(1) = For each of these…

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Q: -a ; Y 5.)(*+y)² +(x-y)

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Q: 3. Give an example of a function with discontinuities at x =1 and x = 5.

A: To Find : A function that has discontinuities at x=1 and x=5.

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Q: Let A and B be nonzero vectors. Find k e R such that A – kB is orthogonal to A + B.

A: We know if a vector P→ is orthogonal to another vector Q→ then scalar product (dot product) is zero.…

Q: Find the inverse of f(r) = log, (3z + 1) +2 %3D

A: Find the inverse of f(x)=log43x+1+2

Q: Use Gaussian elimination to find the complete solution to the following system of equations, or show…

A: Cases after reduction of the matrix:1. Rank(A) = Rank(A/B)=number of variable ⇒unique solution…

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Q: Use the First Derivative Test to find the local maximum and minimum values of the fu M(t) = 4t3 +…

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Q: 5. The equation r = 2 sin(0) in cylindrical coordinates describes a surface. Convert this equation…

A: Use relation ship between cartesian coordinate and cylindrical coordinates .

Q: Not yet answered Question 1 Marked out of 1.00 c3 m³+1 dx Evaluate: x 3 a 16.664 2 16.635 2 12.654 2…

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Q: For the given matrices A and B find each of the following. (a) A+ B, (b) B+ A, (c) A-B 4. 4 - 1 10 7…

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Q: (1) This question is about the extension of the differentiation rules from 1-dimensional space to…

A: We are given  f(x, y) =(yex , ex+y)  and g(x, y) =(xey , ln(xy) )  We have to verify (i) (f+g)'(x,…

Q: c) Find the exact lenght of the curve y = 100x – 100 between on the interval 0 < x < 11/2 Answer:

A: We can find the arc length as below.

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Q: Use a table or graph to investigate the limit. lim 9x²In x lim 9x In x= (Type an integer or a…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: Use derivative and critical point for finding the absolute maxima .

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Q: Write the complex number in standard form. -18 + V-50

A: (-1)1/2= i

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Q: Find the direction in which the function is increasing most rapidly at the point P0. f(x, y, z) = xy…

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Q: Evaluate the indefinite integral. Use C for the arbitrary constant. 25 35e* dx =

A: Given problem :- Evaluate the indefinite integral. ∫ (25/x -35ex) dx

Q: 1.) Use the graph of f(x) below to evaluate the following: a.) f(3) = b.) lim f(x)= ind 3? d.) lim…

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Q: Find the 5th roots of 9. -16/2 + 16vZi

A: =12+32i9De Moivre's theorem;=cosπ3+i sinπ39= eiπ39=ei3π=cos3π + isin3π=-1

Q: Consider the the curve y =(6x + 5)V6x + 5 from x =5 to x 11 a) Find the initial and terminal points:…

A: Consider the curve y=6x+56x+5 from x=5 to x=11.a To find the initial and terminal points.b To find…

Q: 5. Use 1 mile = 5280 feet to solve the problem below. * %3D Two people are looking up at a…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (12, 13, -11) Vw(12, 13,…

A: Gradient of w=xtany+z at 12, 13, -11

Q: Use a table or a graph to investigate the limit. lim In t→9e lim In (Type an integer or a decimal.)…

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Q: Set A 1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the…

A: This is a problem related to vector calculation. Based on the general formula and concept we will…

Q: Find the derivative of a function at a certain number using the formula f(x) – f(x1) x-X1 x- x1…

A: Here's the solution, please have a look at it...

Q: Calculate the definite integral. 1 | 3 Vx dx

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Q: Using integration by substitution in ſ x³(x6 – 2)³dx, what is du? A. xdx В. бх5dx С. (х6 — 2)dx D.…

A: ∫x5(x6-2)dxPut x6-2=udifferentiate…

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) d 7 cot (u) du = do

A: