Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y) = 3x² + 3y²; 2x + 3y = 39 Find the Lagrange function F(x, y,^). F(x,y,^)=-^( Find the partial derivatives Fx, Fy, and F₁. Fx Fy = = There is a value of located at (x, y) = (Type an integer or a fraction. Type an ordered pair, using integers or fractions.)

Q: If f(x)=5x-1, g(0)=2, g'(0)=4, and h(x)=f(g(x)), then what is h'(0)?

A: Solution:

Q: Σ(-1)¹+¹, n=1 Σ;(3) n 2 n=1 n=2 1 nlnn n 1 2n+1 I only II only III only I and III only I, II, and…

A: To solve the following problem and find which of the series converges

Q: a. Use the product rule to find the derivative of the given function. b. Find the derivative by…

A: Derivative

Q: Suppose the function g(x) has a domain of all real numbers except x = 8. The second derivative of…

A:

Q: 1. : DETAILS Find the cross product of the unit vectors. jxi Sketch your result. LARCALC11M…

A:

Q: Use the Riemann sum midpoint rule to calculate the distance John run in 5 seconds

A: We need to use Reimann sum.

Q: 1/2 -1/2 4(8 + x)¹/² − x(8 + x)¯¹⁄² 8 + x

A:

Q: A rock is thrown directly upward with an initial velocity of 50 ft/sec from an initial height of 10…

A: The initial height of the rock, hi = 10 ft The velocity function is modeled by the following…

Q: 4. Find the solution to the initial value problem yy' + t = 6t², y(0) = 6. 5. Find the solution to…

A:

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: I have appended the formula used in the solution part of the question

Q: em #4: What is the domain of the function f(x, y) = x¹y¹/5 - 9 ln.x? (A) {(x, y):x>0} (B) {(x,y) :x…

A:

Q: what is the function for it though

A: The answer is in step 2.

Q: Express log b 5 W Z as a sum and/or difference of logarithms. Which expression is correct? OA. log…

A: Given query is to expand the expression.

Q: A particle moves according to the equation s(t) = 6 - , t > 0. Find its acceleration at time t.…

A:

Q: 7. The Von Bertalanffy differential equation has successfully modelled the growth of a human tumo…

A: Given that expression dVdt=aV23-bVWe have to show that above differentital equation has solution…

Q: Which of the following are the first four non-zero terms of the Maclaurin series for f(x) = sin(x²)…

A: f(x)=sin(x2)

Q: f(x)=-4x-2; reflection in the x-axis ANS. f(x)=|x+4|; horizontal shrink by a factor of (1)/(3

A:

Q: Calculate the derivative indicated. d'y dx4x=9, y = 4x-3/4

A: Given query is to find derivative.

Q: a. X 1 e te. e2x 0.5x So dx

A: To Find  : ∫01ex+e0.5xe2xdx

Q: Find the minimum and maximum values of the function y=-3x² + 2x - 4 on the interval [-1,4] by…

A: Given that function is y=-3x2+2x-4 on the interval -1,4. It is required to find the maximum and…

Q: 2x²+2x+3 Consider the function y= 4x²-4x (a) To use a limit and find its horizontal asymptote what…

A: We have to find out the horizontal asymptote by the use of limits.

Q: Match the differential equation with it's particular solution form. y'' + 7y' +10y = (4t + 5)e²t…

A:

Q: Write the sum using sigma notation: 1 + + +...+ Σ 1 + 109-110 = ₁ B, where 2-3 1-2 A = B = 1 3-4

A:

Q: 1.. Compute the following integral using partial fractions decomposition: dx (x-3)(x-2) Start by…

A: ∫1x-3x-2dx

Q: Consider the graph of Ax + By = C where A, B, and C are positive constants and A B. If the value of…

A: Solution: Given data, Ax + By = C where A, B, C are positive constants Ax+ By = C → (i)   X-…

Q: According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not…

A:

Q: 10. Find the absolute maximum and the absolute minimum of f(x, y) = 2x² + y² + 2 over the disk D…

A:

Q: 5. Find the maximum height above the x-axis of the polar curve r = 2+2 cos(0).

A:

Q: Find two numbers differing by 42 whose product is as small as possible. Enter your two numbers as a…

A: We can solve the given problem by using the second derivative test.

Q: Find the critical points and the intervals on which the function f(x) = 2x² - 5x -5 is increasing or…

A: Given function f( x ) = 2x2 - 5x - 5

Q: Consider the function f(x) = xe 2, 0≤x≤ 2. This function has an absolute minimum value equal to:…

A: Given function is f(x)=xe-2x, 0≤x≤2 Differentiate f(x) with respect to x.…

Q: A small business buys a computer for $2500. After 4 years the value of the computer is expected to…

A: Note : as per guidelines we support only three subparts of the question. Kindly repost next question…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: Given,  y = 30x - 5x2

Q: A function is given. f(x) = 2x - 4; x = 2, x = 3 (a) Determine the net change between the given…

A:

Q: can you solve g, h, and j too please?

A: Part g)  We need to find the partition numbers of f''x To find partition numbers equate second…

Q: The position of a particle moving along a coordinate line is s= √70+ 6t, with s in meters and t in…

A:

Q: 3 ITT Convert the integral π/4 5) (xy + z) dz dx dy into an integral in cylindrical coordinates. csc…

A:

Q: Which of the following is the partial derivative with respect to y of the function: Select one: fy O…

A:

Q: Find the cross product of the unit vectors. jxi -k X Sketch your result. k t -k O k 't

A: Given that , j×i find the cross product.

Q: Find the interval of convergence of Σ n=2 (x-7)" In (6n) (Use symbolic notation and fractions where…

A: Solution: ∑n=2∞(x-7)nln(6n) Use the ratio test to compute the convergence interval

Q: Find the horizontal asymptote of the function. Give your answer as an equation of a line. If an…

A:

Q: 2. Sketch the graph of each given function by doing the following (box your answer to each of the…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find the slopes of the tangent lines to the ellipse 4x² + y²=40 at y=2. The smaller slope is [a] The…

A:

Q: Which of the following are geometric series?

A: Here we have to choose the correct option.

Q: K Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

A: The answer is in step 2.

Q: d. lim 1³. ³+1 - 1 x-1X

A: according to bartleby guide line we do only first part of multiparts questions (d)…

Q: Find √ √ (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0} D

A:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A:

Q: Assume that the given figure is the graph of f'. nu 1 2 3 4 Identify the true statements. 5 6 f (0)…

A: Given graph of derivative of function

Q: A function is given. f(t) == /₁ (a) Determine the net change between the given values of the…

A: Here is the solution: