Find the surface area of the part of the plane 4x+3y−z=2 that lies above the box 2≤x≤5,   2≤y≤6 Surface Area =

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

A:

Q: Solve the equation. 7 X-4 X = 5 2x²5x- 12 X 1 2x + 3

A:

Q: Find f. f(x) = f"(x) = 8x³ + 5, f(1) = 6, f'(1) = 2

A:

Q: For the following integral, (a) sketch the corresponding area, (b) approximate the area using the…

A:

Q: Express each function as a composition of two functions. (Find f(x) and g(x) such that the given…

A: We have to write the given function as a composition of two functions.

Q: The maker of an automobile advertises that it takes 7 seconds t to 70 kilometers per hour. Assuming…

A:

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) X…

A:

Q: Consider the following. f(x) = x² + 16 Find the critical numbers. (Enter your answers as a…

A: The function f is increasing on I if f'(x)>0 for all x in I.The function f is decreasing on I if…

Q: Consider the following curve. ² = sin(20)

A: r2=sin⁡(2θ)

Q: Find the total differential. 8x + y 3z - 2y dw = W X

A: If W = f(x,y,z) then the total differential of W is given by   +

Q: 5 Determine the difference quotient for the function f(x) = 2x-1.

A:

Q: 4 Sª 3 16 (x-7)(x + 9) dx

A: I=∫3416(x−7)(x+9)dx

Q: c) On the cartesian plane below, put a point where the following coordinates are. a) A (-5, 4) m i…

A: Consider the figure

Q: Find all values of x and y such that f(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 4xy…

A: To find all values of  such that  simutaneously.

Q: Consider the function f(x) = = 8x² x-6

A: f(x)=8x2x−6

Q: What is the volume if a 6 inch square is cut out

A: Consider the box

Q: Solve the given initial-value problem. Y(x) = y" + 4y' + 5y = 35e-4x, y(0) = -5, y'(0) = 1

A: y'(0)=1

Q: 17 [²²; 1 The integral dx diverges. x (In x )1.5 If the integral converges, enter the value below.…

A: Substitute

Q: Give the partial fraction decomposition for the following function. 2 x²-2x-8 2 2 x-2x-8 ||

A:

Q: In 1993, the moose population in a park was measured to be 3920. By 1997, the population was…

A:

Q: Find the critical numbers of g(x)=x√4x, x < 3. If th

A: g(x)=x4−x,

Q: Show that the function is increasing on the given open interval. (Enter your answers as a…

A:

Q: Exercise: 1) fx²e-3x dx 2) f x² Inxdx 3) sin3x cos4x dx

A: Given integral

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. }} dy…

A: To find:-

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

A: To find the critical numbers of the following function.

Q: A formula for the derivative of a function f is given. How many critical numbers does f have? f'(x)…

A: The critical number refers to the value at which the first derivative f' (x) of the real valued…

Q: .SS. Write an iterated integral for dA over the region R described to the right R using a. vertical…

A:

Q: Find f'(1) if f(x)= x + 1 √x + 1 A

A: we need to find the derivative of function at point x=1.

Q: What is the center of the sphere given by the equation x² - · 6x + y² – 2y + z² +82 +17 = 0? -…

A: The standard equation of a sphere is given by  where (h,k,l) is the center of the sphere and r is…

Q: The equation r³+ y³ = 3ry defines a curve named as the Folium of Descartes. (a) Use implicit…

A: The equation  defines a curve named as the Folium of Descartes.By using implicit differentiation to…

Q: X 3. Verify that f(x)=- satisfies the conditions of the Mean Value Theorem on the closed interval…

A:

Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t),2t, 3sin(4t)] when t = 0. (b) Evaluate…

A: Given curve:Unit tangent vector is given by,Therefore,

Q: (a) Find parametric equations for the line segment that joins the point P(-1,-4, -3) to the point…

A:

Q: Let Compute dw (-5,-2)= -(-5,-2)= ow Ət w = xy + yz - 5xz, x = st, y = est, z = ²

A:

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. [9 3(1 + Ax)] - 6…

A: limΔx→0[9−3(1+Δx)]−6Δx

Q: LET • (CX)= In [x²(x+5) ³ (x² + 4)⁰7 f'(x) = LET F(x) = \n [X²(X + 3) ³ (X² + 2)²] Cico

A:

Q: Find fx fy and f, and evaluate each at the given point. f(x, y, z) = xy x+y+z (3, 1,-1) fx(x, y, z)…

A: The given function is

Q: Consider the following. {-x³ +3, -x² + 4x, x≤0 x > 0 Find the critical numbers. (Hint: Check for…

A:

Q: Consider the following. See Examples 4, 5, and 7. y = (x-4)³ Find the critical numbers. (Enter your…

A: In this question, we will find the critical point and the intervals on which function is increasing…

Q: Evaluate the following integral using integration by parts. √x20 In x dx

A: I=∫x20ln⁡xdx

Q: For the given double integral, sketch the region of integration and write an equivalent double…

A:

Q: 9. If f(x)=x²-2x+7, evaluate each of the following

A: The given function is To find:-

Q: Find a Cartesian equation for the curve. r = 9 cos(0)

A:

Q: -3x If h (x) = ln(x + 4 + e−³ª), then h′ (0) =? 01/10 O nonexistent 0 210 210

A: This is question of differentiationHere function given We have to differentiate it and put value…

Q: 5. Let f(x, y, z) = x²e + ay³ + az + 115. Find fyzz (b) Find 8³1 əxəydy'

A:

Q: Solve. X-4 7x + 5

A:

Q: Consider h(t)= 3t+2+4t² Determine the intervals on which h is decreasing. Oh is decreasing on: Oh is…

A:

Q: differentiate. do not simplify f(y) = (3-y^3)^3/4

A: given function

Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t),2t, 3sin(4t)] when t = 0. :

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…