In this problem we will find and investigate all local maxima, local minima, and saddle points of the function f(x, y) = ax* + y* – 4xy² – xy + 2x

Q: Vectors u=5i + 3j and v=i-4j are given. Find the scalars m and n such that m(u+v) -5i + 7j= n(u-v)

A: givenu=5i+3jv=i-4jm(u+v) -5i + 7j= n(u-v)replace values of u and vm(5i+3j+i-4j) -5i + 7j= n(5i+3j-i+...

Q: Sketch the region enclosed by y = e, y = e0, and a x or y. Then find the area of the region. 1. Deci...

A: The curves which enclosed the region are y=e5x and y=e6x.

Q: Evaluate the integral. Check your answer by differentiating. (Use C for the constant of integration....

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Q: Find the dimensions (both radius and height) of a soup can with a volume of 432 cm³ that minimize to...

A: Consider the given dimension of soup can as  V=432cm3 Volume of can as   πr2h=432h=432πr2

Q: sec 10.1

A: Radius of the circle =2 cm. Angle subtended by arc at the center= 1.4 radians. Area of the arc is A1...

Q: Convert the polar coordinate ( 5, to Cartesian coordinates.

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Q: Definite integral

A: Given: Sales for a speaker system have been growing at the rate  f'(t) = 2000(3-2e-t) system/yr  whe...

Q: An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round ter...

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Q: compute the derivative

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Q: 4th question

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Q: At 9:13AM a car is traveling at 35 miles per hour. Two minutes later, the car is traveling at 85 mil...

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Q: Question-based on, "sketch a triangle that has acute angle". Please help.   I have tried it but unab...

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Q: rd y as the independent variable and x as the dependent variable and use implicit differentiation to...

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Q: Given the function g(æ) = 6a³ + 9x² – 36x, find the first derivative, g'(x). g'(x) = Preview Notice ...

A: As per company policy i suppose to answer only 1st 3 part of the question rest Question consider as ...

Q: Sketch and find area of region: y=2x and y=5x^2.

A: We have to find the area of the region bounded by the curves y=2x and y=5x2.

Q: Determine whether the sequence is arithmetic, geometric or neither. 1/3, 1/21, 1/147, 1/1029, 1/7203...

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Q: I need help with #5 and #6

A: Since you have asked multiple questions in single request  so we  will be answering only first quest...

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to fou...

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Q: Perform the indicated elementary row operation. -1 1 8

A: Here the elementary row operation is add 5 times row 1 to row 2.

Q: Using definition of laplace transform, find the transform F(s) of the following time functions if it...

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st ques...

Q: Find the Jacobian of the transformation . x = u2 − v, y = v − u

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Q: A steel ball weighing 2 lb is dropped from a height of 3000 ft with no velocity. As it falls, the ba...

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer...

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Q: (Question 12) Find the derivative dy for the function dx function y = arctan(3x – 4). Your answer mu...

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Q: Suppose that the only information we have about a function f is thatf(1) = 5 and the graph of its de...

A: Given: f(1)=5

Q: Hi, could someone help me find the critical numbers of the function please? Thank you!

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Q: Given the triangle below, find the angle A and length of side x Note: picture is NOT drawn to scale,...

A: We will use law of sine to find A32sinA=23sin(38)23sinA=32×sin(38)sinA=32×sin(38)23A=sin-132×sin(38)...

Q: Evaluate the integral. Check your answer by differentiating. (Use C for the constant of integration....

A: Given,          ∫5x4dx

Q: Find the domain of the function. h(x) = Inx+In(2-x). Express your answer in interval notation.

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

Q: A person starts walking from home and walks: 3 miles East 2 miles Southeast 5 miles South 5 miles So...

A: A person starts walking from home and walks:3 miles East2 miles Southeast5 miles South5 miles Southw...

Q: 49 and 53 please be accurate

A: Since you have asked multiple questions in single request  so we  will be answering only first quest...

Q: After t hours of​ operation, an assembly line has assembled A(t)=13t−1/2t^2 power lawn​ mowers, 0≤t≤...

A: (a) The factory's cost of manufacturing is equal to both x and A(t), so x= A(t). The factory's cost ...

Q: An airplane is heading north at an airspeed of 650 km/hr, but there is a wind blowing from the north...

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Q: given x3   + y3 -9xy = 0,   find the point where the curve has a vertical tangent line

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Q: How do you find the standard form of the equation of the parabola with the given characteristic(s) a...

A: Given vertex is at origin i.e (h,k) = (0,0) To find the standard equation of parabola  

Q: Let a = (– 3, – 4) and 5 = (1, 2). Find the projection of b onto a. proja b

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Q: Given the triangle 12 find the length of side z using the Law of Cosines. Round your final /23" 14 Q...

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Q: A latter 13 ft long leans against the side of a building and the angle between the ladder and the bu...

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Q: f(x) = x² + 15 and g(x) = x + 87 over the interval – 8 < x < 9. (Note that these are the x-values of...

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Q: Consider the region R that is between the graphs of y = x2-1, y = -x+1 on the interval x = 0 to x = ...

A: The area between the graphs of y=x2-1 and y=-x+1 on the interval x=0 to x=2 will be: A=∫02x2-1--x+1d...

Q: Calculate the area between the curves: f(x) = x² + 31 and g(æ) = x + 73 over the interval of – 6 < x...

A: fx=x2+31 &amp; gx=x+73 The diagrammatic representation of the area is,

Q: Write the expression in the standard form a +bi. 6. LV6 ( cos 25° + i sin 25°)]°

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Q: Find f f"(x)=x-2  x greater than 0 f(1)=0 f(6)=0

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Q: Please solve the screenshot. The answer is not [527345*sqrt(2)*pi] / 6. Thanks!

A: We know that  x=rcos(θ)z=rdS=r2 dr dθ the interval of cos is from 0 to 2pi and the interval of z is ...