x X A rancher has 2700 feet of fencing with which to construct adjacent, equally sized rectangular pens as shown in the figure above. What dimensions should these pens have to maximize the enclosed area? y = X Maximum area = 9-

Q: Current Attempt in Progress Use Lagrange multipliers to find the maximum or minimum value of f(x, y)…

A: Use Lagrange multipliers to find the maximum or minimum value off(x, y) = x2 + 18y2 + 100subject to…

Q: The range of the sine and cosine function change if the amplitude of the function is a number other…

A: Given :Statement : The range of sine and cosine function change if the amplitude of the function is…

Q: 9 8 7 6 5 4 3 2 + 2 3 -4- -5 -6 -7 -8- 9- -10+ 2 The graph shows y = h(z), and we define g(x) =…

A: Here we will solve the first part according to answering guidelines.Here we have given a function…

Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

A: A plane that passes through the line of intersection of the planes x − z = 2 and y + 2z = 1 and…

Q: nny Convert -545° to radian measure. Write your answer in exact form and also approximate your…

A:

Q: Use the given transformation to evaluate the integral. JJ (20x + 15y) dA, where R is the…

A:

Q: Evaluate the integral. Then sketch the solid whose volume is given by the integral. π/6 π/2 5 [³p²…

A:

Q: Arrange the following fractions in ascending order without converting to decimals or finding…

A: Arrange the following fractions in ascending order without converting to decimals or finding…

Q: Suppose Find: (a) (fg)'(5) = (b) (f/g)'(5) = (c) (g/f)'(5) = = f(5) = 2 g(5)= 3 ƒ'(5) = 3 g'(5) = 7

A: Given the information Then we have to answer the following...

Q: A cylindrical tank, shown to the right, has height 8 m and radius 1 m. a. If the tank is full of…

A: A cylindrical tank, has height 8 m and radius 1 m.a.)  If the tank is full of water, how much work…

Q: Determine whether the following vector field is conservative on R2. If so, determine a potential…

A: Given that the function is    F(x,y) = < 5x , 2y > Here we have to find the potential…

Q: What is the first derivative of g(x) = ln (4x² + 3x + 2)? Select the correct answer below: O ln (8x…

A: Derivative

Q: Given an acceleration vector, initial velocity (uo.vo.wo), and initial position (xo.YoZo), find the…

A: We have,Acceleration vector: a(t)=⟨7t , e-t ,11⟩

Q: Evaluate the given integral by making an appropriate change of variables. x - 5y 5. dA, where R is…

A:

Q: Find the equation of each horizontal asymptote, if any, of the function f(x) = 4x - 1 2√√²-1 of your…

A: The given function .We have to find the equation of the horizontal asymptote.

Q: 6 3. Sº g(x) dx = −5 and 4 the following integrals: A) B) 6 f(x) dx = 3, 2 g(x) dx [Select] 6 S₁…

A:

Q: f(x): (3e*+50 Зе 4 X

A:

Q: √3 2 8 1

A: Here given that a right angled triangle and we find sec(theta).

Q: Connecting the Start Capacitor The spacecraft is nearly ready for takeoff! The last task is to…

A:

Q: You use 'INF' for oo and '-INF' for -∞o. And use 'U' for the union symbol. Enter DNE if an answer…

A: We have to find the intervals where f is concave up and down, inflection points and relative maxima…

Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle: ¹…

A: Given angle:

Q: Find all critical points of the following function. x³ y³ 3 3 f(x,y)= - 10xy What are the critical…

A:

Q: Assume c is a number between a and b. In your own word describe the area defined by a formula given…

A: Assume that c is a number between a and b. Area

Q: e distance between the z +8t, y=4+ 4t, -t, y = 7, Z Enter the exact answer. 2=

A:

Q: Given f(x) = 8x + 1, write a limit representing the derivative of f(x) at x = 1. Provide your answer…

A:

Q: Differentiate implicitly to find 3x³-y³ = 10

A:

Q: 2. Suppose that F is an antiderivative of function f, if f is continuous on [a, b], then So f(x)dx=…

A:

Q: Find the first and second derivative of the function. G(r) = √r + √√√r G'(r) G"(r) || = 1 1 + (²)…

A:

Q: Find the Jacobian of the transformation. x = 7uv, y = 4vw, z = 9wu

A:

Q: a) Find the first and second derivatives. f'(x) = f"(x) =

A: The function is given as f(x)=4x-4.

Q: Is your answer to question 3 the real solution or an extraneous solution? Explain how you know

A: The equation to find the volume isAnd the volume is

Q: Suppose F(5) = -7, F(9) = 3, and F'(x) = f(x). = [ 7f(x) dx

A:

Q: Find the area of the triangle with the given vertices. (Hint: luxv|| is the area of the triangle…

A: The vertices of the point A is (0,0,0).The vertices of the point A is (3,0,5).The vertices of the…

Q: Find u x v, v x u, and v x v. u=i-j-k, u x V (a) (b) (c) V x u VX V v = 5i + 5j + 5k

A:

Q: Change from rectangular to spherical coordinates. (a) (2,2,0) (p, 0, 4) = (b) (9, -3√3, 6) (p, 0, 4)…

A:

Q: 40. Evaluate the limit or show that it does not exist. 5y¹ cos²x lim (x,y) →(0,0) x4 + y4 5xy² lim…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Find the center of mass of the planar lamina. y 4 12 16 X

A: Center of mass of composite lamina is given as

Q: lim tan-¹(e* + ln x) x→0+

A:

Q: Differentiate the following function. ) = 1/2 (1³8 + 8) 8 f'(t) = f(t) X

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of y = 2x² + 1…

A:

Q: 3. Find ²x²y dxdy

A:

Q: -9-8-7-6-5 to 00 8- 7 6 5- th 3+ 2- 1 m y -5- -6+ 7+ 16 I I y = f(x) 3 4 5 6 7 8 9

A:

Q: Find the derivative of f(x)=sqrt(4-3x) using the definition of derivative

A:

Q: Find u x v, v x u, and v x v. u = 5i + 9k v = 6i + 9j - 5k. (a) u xv (b) vxu (c) vxv

A:

Q: 2x3 x²-16*

A:

Q: Consider the following. optimize f(x, y) = 3x² + 2y² - 25.1x - 11.7y + 73.4 (subject to g(x, y) = 2x…

A:

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A:

Q: c'(x) = e(x) e'(x) = t(x) t'(x) = h(x) h'(x) = c(x) 0 1 2 1 0 4 3 3 4 1 2 لا e(x) c(x) 3 t(x) 4 1 3…

A:

Q: -5 f

A: Here we have a discontinuous curve in which we have to find the domain of the given function.

Q: ent in the problem. TO cise 1 gy=√x+6 - √x with x, x+8 > 0. merical cancellation when || << x can be…

A: