A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window (see figure). Find the exact dimensions (in ft) of a Norman window of maximum area if the total perimeter is 18 feet. (Enter your answers as a comma- separated list.) ft

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Q: evious Problem Math134 03 BasicDerivatives: Problem 11 (1 point) Find an equation for the line…

A: I am attaching image so that you understand each and every step.

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A: NOTE: Refresh your page if you can't see any equations. . here LU factoriztaion is given

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Q: •ffe -32²-3y² dA; R= {(x, y)\x² + y² ≤ 4, x ≤ 0,y>0} R 4. (Section 16.3) Evaluate

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A: NOTE: Refresh your page if you can't see any equations. . the first positive number is x and the…

Q: Find the fundamental set of solutions of the DE y" + 4y + 4y = 0. Use the Wronskian or any other…

A: Given the DE is y''+4y'+4y=0.

Q: a) b) c) v₁.0₂ = Round your answer to 3 decimal places. V3 V4 = Round your answer to 3 decimal…

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Q: 5. Find the general solution of the DE y" – 4y' — 12y = sin(2t).

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Q: 92. A cylindrical gasoline tank is placed so that the axis of the cylinder is horizontal. Find the…

A: It is given that, Diameter = 2 feetRadius = 1 ftρ=42 pounds/ft3

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Q: 1. x²-2x-24y+1=0 Standard Form Equation: a. Vertex: b. Focus: C. Length of LR: d. Directrix:

A: Topic = Parabola As per guidelines , At a time only one question with three sub-parts can be…

Q: [ (sect (sect + tan) dt

A: The given integral is sect+tant.

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A: We know, 2sinx*cosx=sin2x csc2mx-cot2mx=1, for any real m ∫csc2mxdx=-cotmxm ∫cotxdx=ln|sinx|…

Q: 8. y = cos(x + y) = ysin(x)

A: derivative

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A: The given curves are: x=4y2-4y           and            x=12y2-12y3

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Q: Use implicit differentiation to find ∂z/∂x and ∂z/∂y. yz = 4 ln(x + z)

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Q: The equation 5x2 = cy is the general solution of? A. x/2y B. y' = 2xy C. y' = y/2x D. y' = 2y/x

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Q: Solve 2 sin² (x) + 3 sin(x) + 1 = 0 for all solutions 0 < x < 2π x = Give your answers as a list…

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = 2x2 + y2 −…

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Q: Find all values of t, -/2 < t </2, for which the tangent line to the graph of x(t) 4t+3 tant, y(t) =…

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

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: The pressure is =24.774 atmospheres

Q: Find the gradient of f(x,y)=ln(x^2+y^2).    ∇f=__________ i+__________ j

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

Q: d) e) U₁U4 = Round your answer to 3 decimal places. V1 V3 = Round your answer to 3 decimal places.

A: Given vectors  v1=8−9v2=75v3=4−6v4=90

Q: Find the radius and center of the sphere. [Hin 2x² + 2y² + 2z² +4x-16z = - 18

A: The given equation is  2x2+2y2+2z2+4x-16z=-18  Find the radius and center.

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Q: If z=(x+3y)ex+y,x=u,y=ln(v), find ∂z/∂u and ∂z/∂v. The variables are restricted to domains on which…

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Q: of

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Q: ey (x + 1) = ex

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Q: Let Find f (A) (B) el 2 (7) -2x sin x + cos x (C) 1 (D) (E) -√2 (F) 0 (G) 2 (H) None of these

A: Given query is find indicated derivative.

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Q: 5 3. Consider the sequence defined by an (a) Is this sequence monotonic? Explain. (b) Is this…

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Q: Exercises 1-4 refer to the functions whose graphs are given in Fig. 17. 1. Which functions have a…

A: Given the graph of the functions

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A: See the details solution in below

Q: Sketch the graph of a function f having the given characteristics. (Select the correct graph.) f(0)…

A: Given query is to graph the function with indicated characteristics.

Q: Let A = {2,7,8}, B = {-1,2,6,7}, C = {2,4,6,8,10}, D = {{7},{2,4},{6},2 ,8} List each set starting…

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Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

A: As per our guidelines we can answer only 1 question, so kindly repost the remaining questions…

Q: 5) Evaluate the limit; sin (3x) Tan (3x) a) lim. хэо b) lim X. Sinx X30 1- cos X fin (3001) тилев…

A: We can solve both the questions of question-5 in the below steps by finding the limit.

Q: 2 The curve y = ax + bx+c passes through the point (1,8) and is tangent to the line y = 5x at the…

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Q: 12. Refer to the figure and find the volume V generated by rotating the given region about the…

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Q: Three regions are defined in the figure. C (0,2 y R₂ /y = 2√√x R3 y = 2x R1 B(1, 2) A (1,0) X Find…

A: Here,                we have given a region R1 now if this region is rotated about the line OA we…

Q: 6y + 7 = 0 Recalling the slope-intercept form  y = mx + b,  state the values of m and b for the…

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Q: 1 2 2 x ² 24 V 1- cos x x² < 1 7|2

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Q: A company introduces a new product for which the number of units sold S is given by the equation…

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Q: A patient’s drug costs her $75.00 for 300 tablets. What is her cost per week at 2 tablets per day?

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Q: Write the product as a sum: 18 cos(35u) cos(12u) =

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Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

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