Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint: f (x,y) = x² + y²; xy = 1.

Q: 1. Suppose that the volume V of a certain cone can be expressed as V =nh, where h is the height of t...

A: For the solution of the problem follow the next steps.

Q: 2 Evaluate the J ) dx xvx2-4. | a) arcsec ) + c (2) b) arcsin (-) +c c) arccos(x) + c d) arcsin(x) +...

A:

Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's futu...

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload...

Q: Solve the differential equation (x² + 1)y – 2xy – 2x = 0 using the method of separation of variables...

A:

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A:

Q: Suppose that you have deposited a certain amount of money in a bank that pays an interest rate of 2....

A: Given:  Interest compound continuously       r = 2.5%       t = 10       A = 12840.25

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) (1 + x)5 00 f(x) = Σ n...

A:

Q: A rope passing through a capstan on a dock is attached to a boat offshore. The rope is pulled in at ...

A: The given data is: The rope is pulled in at a constant rate of 2 ft/s, and the capstan is 4 ft verti...

Q: 9. The difference of two numbers is 30. What two numbers will minimize the prod- uct?

A:

Q: implify the difference quotient by rationalizing the numerator. Vz - 8 - Vz 8 ead more about Topic 1...

A: We have to find rationalization

Q: 5. (xy² +y – x)dx + x(xy + 1)dy = 0 6. (1– xy)-²dx + [y² + x²(1 – xy)-²]dy = 0; when x = 2, y = 1 7....

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

Q: _8. If y = (2x + 7)², then what is ? dx а. dx dy 2(2x + 7) C. dx dy = 2 %3D dy dy b. dx = 4x d. = 8x...

A:

Q: A cup of coffee, cooling off in a room at temperature 24°C, has cooling constant k = 0.108 min -1 (a...

A:

Q: Select the best answer. cot A sin 2A =

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 5t³ – 12t...

A: The objective of the question is determine the velocity , acceleration and acceleration when velocit...

Q: Evaluate the integral. (Use C for the constant of integration.) dx cos(x) – 1

A:

Q: #11

A:

Q: 8,10 The expression log 26 can be written in the form A log(x) + Blog(y) + C log(z) where A B = and ...

A:

Q: The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.6 4.8 10.7 17.1 24...

A:

Q: A projectile is fired at the angle of 30° above the horizontal with a muzzle velocity of 460m/s. Fin...

A: Find your answer below 

Q: functioN fo- x^-2X- 3 X+3 use second derivactive to idenfity intervals here fais cencave up L use se...

A:

Q: Find f'(x) and find the values(s) of x where f'(x) = 0. f(x) = (2x – 21) (x² + 18) f'(x) =O

A: We will find the derivation of functions as follows 

Q: An amount of $12,000 is deposited in a bank that pays interest at a rate of 3.5%, compounded continu...

A:

Q: Given the graph of g(x) on the right: -10- Apply the following transformations below using a transfo...

A: Required formulas: Reflection about the y-axis is : x, y → -x, y. Horizontal stretch by 2 is: x, y ...

Q: 6. Let an n4

A:

Q: Determine whether the series is convergent or divergent. n- 1 5n – 1 n = 1 convergent O divergent If...

A: The given series is  ∑n=1∞ n-15n-1

Q: Let R be the region bounded by the following curves. let S be the solid generated when R is revolved...

A: Volume of solid of revolution

Q: Find the flux of the vector field F = (y, – z, x) across the part of the plane z = 4 + x + 2y above ...

A:

Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize interferen...

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

Q: 1.(Easy) For the following differential equations, state the independent and dependent variables, th...

A: The objective of the question is determine the independent , dependent variables , order , degree an...

Q: Lou and Jacob each sold 200 pieces of jewelry.  If 20% of Lou's sales were rings, and Jacob sold 35 ...

A: Given lou and jacob each sold 200 pieces of jewelry. 20%of lou and 35 ring of jacob.

Q: point

A: We will define the statement. 

Q: x² – 5x – 6 44. f(x):

A: To sketch the graph of f(x)=x2-5x-6x2. Solution: First differentiate the function with respect to x....

Q: 1te X- dx 1+xe-*

A:

Q: If s(t) = 8t3 – 12t? – 48t + 4, represent the position of a particle traveling along a horizontal li...

A:

Q: funchioN fo= x-2x-3 X+3 find the secod derivatve tx): Baseden: criical value -6.5, 0.5 and second de...

A: Given: fx=x2-2x-3x+3   We know that; The Quotient rule: fg'=f'·g-g'·fg2 The chain rule: fgx'=f'gx·g'...

Q: An equation for a quartic function with zeros 4, 5, and 6 that passes through the point (7, 18) is a...

A:

Q: product

A: We will demonstrate the above. 

Q: Suppose that R is the finite region bounded by f(x) = Va and g(x) 2 %3D Find the exact value of the ...

A: Let's find. 

Q: nvobability density fonction (pdf) How did he get the value inside the circle? unda probability d-f ...

A:

Q: The first term in an arithmetic sequence is -27 and the common difference is 3.6, find the 13th and ...

A: (By our  policy we are allowed to do one question at a time . Kindly repost other problems in other ...

Q: Evaluate the (3+ х)у dy yx² a) Зху + + c b) y (3x +) + c с) Зху? + + с ху? 2 d) x (3y +)c y² 2

A:

Q: Find the slope of the line through P and Q. Р(5, -9), Q(-3, 8) -1/8

A:

Q: cuit is the product of the voltage V and the current I (in A). If the V and I vary with time t (in s...

A: We will solve the problem 

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: Kindly repost the 2nd picture separately in order to get it answered by an expert

Q: е: Solve over the interval [0, 2n) 2cos23x + sin3x = 1

A:

Q: k(x) = 1- |r – 3|

A: For (b), Given: The domain of a function is the set of input or argument values for which the funct...

Q: se the chain rule to find the derivative of f(x)=4√2x3+7x8 Type your answer without fractional or...

A: given f(x)=4√2x3+7x8 f'(x) = dfdx        =d42x3+7x8dxwktda+bdx = dadx+dbdx

Q: In Exercises 19–22, find the slope of the curve at the point indicated. x - 1 y = x + 1' 22. x = 0

A: Find the slope of the curve at x= 0 is  y= (x-1)/(x+1) 

Q: 6. [Geogebra Question] The altitude (in metres) obtained by an object t seconds into flight is given...

A: To find the maximum height of the object.