12/23 A book designer has decided that the pages of a book should have 1 in. margins at the top and bottom and in. margins on the sides. She further stipulated that each page should have an area of 32 in.2 (see the accompanying figure). Determine the page dimensions that will result in the maximum printed area on the page. X = y = in in in 1 1 in.

Q: Let E be the region in space above the rectangle [0, 4]x[0,8] (the first interval being on the…

A:

Q: Given a line defined by the equation T (5,-3,2) + (-8,1,4) and that the point P(x, y, −10) lies on…

A:

Q: 00 Let Cn(x-a)" be a power series centred at $a$. In order to determine the radius of convergence we…

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

Q: Determine using implicit differentiation. dy dx 4x³ +2y³ = 3y 2x³y² + 5y³ = 4x-1 2x 3x + y =y Note:…

A: 1st...4x3+2y5=3y2nd....2x3y2+5y3=4x-13rd....2x3x+y=y

Q: 4 }Let ƒ(x) = 6x + = Find the open intervals on which f is X increasing (decreasing). Then determine…

A: ⇒fx=6x+4x

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: Identify the open intervals on which the graph of the function is concave upward or concave…

A:

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

A: The given function fx=x6e-7x. We have to find the critical points of the function.

Q: Find given: z= xe*y, x= t, y= 3 + 2t dz dt Your answer should only involve the variable t

A: given  z=xe5yx=t6y=3+2twe know dzdt=∂z∂x×dxdt+∂z∂y×dydtd dt(tn)=ntn-1

Q: Two identical circles of radius r are inscribed in a rectangle as shown. Da (a) Express the area of…

A:

Q: In each case, select the correct answer. You do not need to show your work. Use the graphs below. If…

A:

Q: 2. Let f(x) = 3x55x³ + 1. (a) Find the intervals on which the graph of f is increasing, decreasing,…

A:

Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find dA dt dA…

A:

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)= - 8x²8xy-8y²…

A: Given function is

Q: Solve like in samples image i given.  2. f(x)= 3x²+4x+3 Handwriting

A: To find the derivative of the function. fx=3x2+4x+3

Q: Let f(x) = = 4x - 3 -. Find the open intervals on which fis x + 6 concave up (down). Then determine…

A:

Q: Consider the following. 11m 3 (a) Find the reference number t for the value of t. t= t= (b) Find the…

A:

Q: d) Find all x- values in the interval -5 < x < 5 at which g has a critical point. Classify each…

A: We have to find all x- values in the interval -5 &lt; x &lt; 5 at which g has a critical point.

Q: Find all local maximum and minimum values of the function whose graph is shown. local maximum at x =…

A:

Q: M Question 1. Use the Second Derivative Test to find and classify the critical points of the…

A:

Q: #2 24 12 10 10 U 6 2 -2 9+-3-12=3=y 10 스니 (43) (x-1)+(y-3)=1

A:

Q: what i sthe angle of the whole circle called

A: To find the angle of a whole circle.

Q: Use cylindrical coordinates to find the volume of the region bounded by the plane z = √29 and the…

A: The region bounded by the palne z=29 and the hyperboloid z=4+x2+y2

Q: Find the gradient field F = Vp for the potential function <p below. p(x,y,z) = In (2x² + y² + 3z²)…

A:

Q: Determine the third derivative of f(x) if ƒ(x) = 2xº −x³ +4x²2 - 2x¹ +5x-8. Use positive exponents…

A:

Q: 3 Find ³6xln xdx. Then select the correct choice. Select the correct answer below: O The integral…

A:

Q: Assume that the radius of a sphere is expanding at a rate of 10in./min. The volume of a sphere is V…

A:

Q: Neu Fabrication Company operates 360 days a year and uses 150 cartridges each day. Using a…

A:

Q: У y = -12x +4 3 X

A: y=-12x2+4x3

Q: Sketch the curve of the given function analyzing the following. -12x²-4 y 1) Find all the intercepts…

A:

Q: The following limit represents f'(a) for some function f and some value a. a. Find the simplest…

A:

Q: Find the second derivative of the vector-valued function r(t) = (4t+ 5 sin(t))i + (5t + 2 cos(t))]…

A:

Q: 1. Alex finds that the demand for their lemonade is given by x = 2/p where p is price per cup and x…

A:

Q: Consider the function f(x) = 4 sin (4(x − 5)) +6. State the amplitude A, period P, and midline.…

A:

Q: Write the sum using sigma notation: 33+33+... -Σ || n=0

A:

Q: hello, thank you for the help but can you verify the answer.

A:

Q: Find the linearization of the function f(x) = L(x) = B b √ā B -1.1 lal म sin (a) Find the true…

A: We have to linearize the given function and find the values at given values of x.

Q: 2. The graph below is the derivative function f'(x). Determine: a) the intervals of increase and…

A: As you have asked multiple subparts so I have answered the first three subparts as per the…

Q: Suppose f(x)=15/x (a) The rectangles in the graph on the left illustrate a left endpoint Riemann…

A:

Q: Solve for x: a 2[a + 2(a − x)] = 2x X =

A:

Q: Solve the initial value problem below for the Cauchy-Euler equation. ty"(t)- 10ty' (t) + 30y(t) = 0;…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve using Cramer's Rule. 5x + 7y= 9 7x - 5y = 6 What is the solution of the system? (Simplify your…

A: Solving the following problem

Q: 12) The owner of a video store has determined that the profits P of the store are approximately…

A: As per guidline we can solve maximum one question you can repost other ones

Q: Suppose f'(x)=12√1+4x where f(0) = 5. 1) Find the general antiderivative, f(x). 2) Use the initial…

A: Given

Q: Estimate the value of the definite integral (see picture) by computing left-hand and right-hand…

A:

Q: Your backpacker's guide contains a grid map of London, with each unit on the grid representing 0.25…

A:

Q: Find the local maximum and minimum values of the function f (x) = -x − 64/x using the Second…

A: The answers are in step 2.

Q: Use a linear approximation (or differentials) to estimate the given number. (Use the linearization…

A: We have given the number 1/99. Since 100 is near integer of the value 99, choose the value a = 100…

Q: A model for the height h (in feet) of a Ferris wheel car is h = 70 + 70 sin(4πt), where t is the…

A:

Q: C. 9 +2²=1 4 d. 16x² +4y² = 32

A: