The function f(x,y) = 3xy has an absolute maximum value and absolute minimum value subject to the constraint 2x² + 2y²-3xy=49. Use Lagrange multipliers to find these values. The absolute maximum value is The absolute minimum value is

Q: Find the derivative of f(x) = x² log₂ (x +3.5). f'(x) =

A: differentiation

Q: 13) y = 4 + lnx solves xy' = 1

A:

Q: A house was valued at $125,000 in the year 1995. The value appreciated to $175,000 by the year 2000.…

A: Let t = 0 for 1995 Given population in 1995 = 125000population in 2000 = 175000

Q: A ball with mass 0.12 kg is thrown upward with initial velocity 10 m/s from the roof of a building…

A: The details solution of the given question is given below in step 2.

Q: Let f (x) = x^2 -3x+5 a) use the definition of the derivative learned in class to compute f'(-2) b)…

A:

Q: Question Given h(x) = sec(-4x²-3x + 2), find h'(x). Provide your answer below: h'(x) = Content…

A: Given query is to find derivative.

Q: What is the equation of the midline of the function f(x) = 5.6 sin (1.2x2.3) +1.8? y = -2.3 Oy=-1.8…

A: f(x)=5.6sin(1.2x-2.3)+1.8we know mid line of sin function is x-axis on x-axis y is zero

Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim 3x³+11x² 6x³-3…

A: The limit is given by limx→∞3x3+11x26x3-3. The limit is of the form ∞∞. Thus, apply the L'Hopital's…

Q: Consider the equation. f(x) = 3x² at (-2, 12) (a) Find an equation for the tangent line to the graph…

A: Here we have to find the equation of tangent and normal line.

Q: Find the length of the curve F(t) = (6t, 9t², ln(t)) for 1 < t < 5

A:

Q: Suppose (1, 1) is a critical point of a function f with continuous second derivatives. In each case,…

A:

Q: Graph the function f(x)=sinx+2. Use π=3.14. Use the Sine tool. First plot a point along the…

A: Given: f(x)= sin(x)+2 Garph of sin(x) is shifted by uper side by 2 It means maximum value=3…

Q: Let yk +...+a, (x)y'+a (x) y=0. Then the linear combination y=c₁y₁+c₂y₂+...+ cyk where the c,, i=1,…

A: For the following problem,

Q: QUESTION 1 Find the solution to the given differential equation. Jy" + 8y'+ 16y=0 3y" + 2y'+y=0…

A: As per rule I need to solve only first three subparts.

Q: For f(x)= x + 4 and g(x) = 2 x + 6, find (gf) (x). o O 2x²+14x+24 O 2x²+10 O 2x² +14x+10 O 2x² +24

A: Let x=a and f(x)=y and z=g(y) Then, z=g(y) = g(f(x)) Now, for x=a, z=g(f(a)). Actually, here (gf)(x)…

Q: Find the equation of the line tangent to the graph of f(x) = x² + y = |help (formulas) 5 12 X - 9 at…

A:

Q: Which of the following represents the integral of the function f(x, y) over the given region? 25 15…

A: Formula used equation of line joining points  (x1,y1) and (x2,y2)(y-y1)=y2-y1x2-x1(x-x1)

Q: Find an equation of a line that has slope 6 and passes through the point (3, 12). In this example,…

A: given slope=6passes throught the point (3,12)standard form is  y=mx+cwhere m is slope

Q: Evaluate: [3. 3x sec² (³) dr = [

A:

Q: The distance of a swinging pendulum from its resting position is given by the function d(t)=…

A: d(t)=3.5cos(5t)we know the maximum value of cos fuction is 1

Q: Let a = (-10, -4, 6) and b = (4, 5, -7) be vectors. (A) Find the scalar projection of b onto a.…

A:

Q: The regular price of a pair of jeans is x dollars. Let f(x) = x-20, where frepresents the price of…

A: given  f(x)=x-20, f represent price of jeans discounted by $20g(x)=0.7x, represent price discoumted…

Q: II. For each function below find the critical points, the values at all critical points and…

A:

Q: State the domain for the radical function 0 -5 O (-5,00) O (5,00) O (-00, 5] O [-5,00) 5 0 -5 -10l 5

A: Given query is to find the domain of the function.

Q: Find the volume V of the solid E enclosed by z = 4 - y², z = 9 - x, x = 0, and z = 0. (Give an exact…

A:

Q: (7) Determine which sequence converges. Justify (2) Σ n4 2n

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find dy by implicit differentiation. dx 5x² + y² = 25 dy dx =

A: Given equation 5x2 + y2 = 25

Q: When a new product is advertised, more and more people try it. However, the rate at which new people…

A:

Q: Calculate the iterated integral. '3 [²³/1² √ 2xy x² + y² dy dx 0

A:

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

A:

Q: For the following exercises, consider a right cone that is leaking water. The dimensions of the…

A:

Q: Determine all of the solutions in the interval 0° < 0 < 360°. (Enter your answers as a…

A:

Q: Graph y=2+ sin 0. First choose the appropriate starting graph from the ones below. Then transform it…

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: How is domain of the function f(x) = cos a restricted so that its inverse function exists? Drag a…

A:

Q: Complete the parametric equations of the line through the points (-8,2,-6) and (-2,6,-1) x(t) = 8 +…

A:

Q: Prove formally that for all a > 0, function af (x) + g(x) is also a concave function.

A: Let’s say we have a function f(x),  If for every value of x, if f”(x) &lt; 0 then the function f(x)…

Q: 10) y = e³x - ex 2 solves y' = 3y + ex

A:

Q: Suppose that R is the finite region bounded by f(x)=√x and f(x) = X 4 Find the exact value of the…

A: Suppose that R is the finite region bounded by fx=x  and fx=x4. To find the exact value of the…

Q: Find the center of mass of a lamina as pictured below, with inner radius 4 and outer radius 5, with…

A:

Q: Watching a Helicopter Take Off At a distance of 53 ft from the pad, a man observes a helicopter…

A: Let point P denotes pad and point H denotes heliport.As per the data given in the question the…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: You are looking down at a map. A vector u with |u| = 1 points north and a vector v with |v|= 7…

A: None option is correct. The details solution of the given question is given below in step 2.

Q: The relationship between the tuition, T, and the number of credits, c, at a particular college is…

A:

Q: = (8,8,4) = (1, 6, 4) d the cosine of the angle between vw and w. 0=

A: We have to find the value of angel of cosine.

Q: 15. The radius r and height h of a circular cone change at a rate of 2 cm/s. How fast is the volume…

A: Question number 15   As per the data given in the question radius r and height h of a circular cone…

Q: A plane flying with a constant speed of 4 km/min passes over a ground radar station at an altitude…

A:

Q: Use the function to evaluate the indicated expressions and simplify. f(x) = 4x² + 5 f(x + 2) = f(x)…

A:

Q: Find the dimensions of the box with volume 4096 cm3 that has minimal surface area. (Let x, y, and z…

A:

Q: Entered 8*x+2*y+4*z = -14 The answer above is NOT correct. Answer Preview 8x + 2y + 4z = −14 Result…

A:

Q: K Find the derivative of y with respect to 0. y=In (5 cos ³0) ᏧᎾ · ||

A: