A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 34 feet?

Q: 2. Locate the absolute extrema of the function g(x) = x² - 8x + 12 on the closed interval [0, 5].…

A: g(x)=x2-8x+12d dx(xn)=nxn-1d dx(constant)=0

Q: Write the equation of the line in the point-slope form that passes through the points (0,8) and…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use l'Hôpital's Rule to find the limit. t³-4t+15 lim t→-3 t²-t-12

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Q: Find equations of the tangent lines to the curve x-1 x + 1 that are parallel to the line x - 2y = 3.…

A: Given  curve equation:- y=x-1x+1

Q: Find the points on the ellipse 3x² + y² = 3 that are farthest away from the point (1, 0).

A: For the Given Ellipse 3X2+y2=3 ,Points that are  Farthest away from the point (1,0) is calculated as…

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: You go to the doctor and he gives you 17 milligrams of radioactive dye. After 16 minutes, 5.25…

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Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = √√√√x² + y²,…

A: Given: gx,y=x2+y2, p7,24, v=3i-4j   As we know the expression for the directional derivative of the…

Q: (a) 3 inches is what part of a foot? (b) 3 inches is what part of a yard? (c) 2 dimes is what part…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: PTT/5 sin¹ (5x) dx =

A:

Q: According to a study, a vehicle's fuel economy, in miles per gallon (mpg), decreases rapidly for…

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Q: A company produces computers. The demand equation for this computer is given by p(q)=−5q+6000. If…

A:

Q: Sketch the region of integration and change the order of integration. *3 /In(x) [³ /0 f(x, y) dy dx…

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Q: f the first derivative of a function is f'(x) = x(x − 3)(x + 2)², a. create a sign chart for the…

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Q: Solve for the variable P to two decimal places. 72,900 = P₂0.091(8) P = (Round to two decimal places…

A: Solve for the variable P to two decimal places. 72,900=Pe0.091(8)

Q: Derive the volume formula of the cone by integration. In doing so, (a) find the equation of the line…

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Q: Find a plane through the points (-5,-6,2), (2,5,7), (-6,-4,6)

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Q: Draw the line with the given of x and y intercept respectively; -1/4,2/5. Write the equation of the…

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Q: Find the derivative of y = x² cot-¹(3x).

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Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 64 4…

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Q: Solve the differential equation. sin x- = 5-y cos x dy dx y=0

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Q: 19. f(x) = sin²: x cos 2x, 0<x<T

A:

Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 15 m/s, its height…

A: Solution: Given data, h = 15t - 1.86t2   a) velocity = h' (t)   → h' (t) = 15 - 3.72t   t=3 h(3) =…

Q: Compute the product. This exercise should be done two ways: by hand and by using technology where…

A:

Q: 700 (p+1)³² For the demand function q = D(p) = a) The elasticity b) The elasticity at p = 1, stating…

A: The demand function is given as , q=Dp=700p+13

Q: 3. If F(x, y) = 3x¹y³ – 2x²y³, find F(x, y)/y²

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: A certain magical substance that is used to make solid magical spheres costs $600 per cubic foot.…

A: As we know that Area of sphere( A ) = 4πr2Volume of sphere( V ) = 43πr3

Q: Match each of the trigonometric expressions below with the equivalent non-trigonometric function…

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Q: find the volume of the solid revolution generated by revolving the region bounded by y=e^(3x) y=3…

A: Given curves equations:- y=e3x,y=3,x=0

Q: At what points is the following function continuous? 6x tan x x² + 3 y= Choose the correct answer…

A: Given function:- y=6xtanxx2+3

Q: Suppose that 336 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Length of rectangle=x ft Width of rectangle=y ft Radius of semicircle r=x2ft

Q: e following function and its graph to answer parts (a) through OW. f(x) = 5-x, x 4. 10- lim f(x) =…

A: Given query is to find  indicated limits.

Q: solve it by hand step by step expline each steps dx dt dy dt = 3x(t) - 4y(t) + 1 = 4x(t)-7y(t) + 10t

A: The answer is in step 2.

Q: Use implicit differentiation to find the equation of the tangent line at the given point x² + y² =…

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Q: Complete the following steps in order to find a vector-valued function r(t) that satisfies the…

A: Please see the below picture for detailed solution.

Q: Evaluate the indefinite integral. 4–9sinr St. cos x -dx

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Q: Consider the following graph of the second derivative, f" (x), for some function f (x): f"(x) 9- 6-…

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Q: Find the average value of f over the given rectangle. f(x, y) = 3ey√√x + ey, R = [0, 10] × [0, 1] X…

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Q: 9. The measurement of the side of a square floor tile is 14 inches, with a possible error of 78…

A: Measurement of the side.

Q: | - ا 28 (9 — x²)¹¹/2 dx

A: Follow the procedure given below

Q: Match each of the trigonometric expressions below with the equivalent non-trigonometric function…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the distance between the skew lines r(t) = (5, 0, – 3)t + (− 8, 7, - 2) and p(s) =(2, 1, 4)s +…

A: I have done solution step by step in detail...go through the solution

Q: When a particle is located a distance x meter from the origin, a force of ƒ(x) = 3x² + 4x ~newtons…

A: Given: f(x)=(3x2+4x) Newtons from x=4 meter to x=8 meter

Q: is that a 5 or a 2?

A:

Q: Find the general solution for the differential equation bellow: y' + 3.5y = 2,8

A: Given: y'+3.5y=2.8

Q: Find (without using a calculator) the absolute extreme values of the function on the given interval.…

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Q: ​You've decided to sell sweatshirts for the upcoming game. You project that at a price of ​$33.32…

A:

Q: The region in the first quadrant between the x-axis and y = x² from x = 0 to x = 4 is rotated about…

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Q: Suppose the amount of a drug left in the body t hours after administration is mg. Find the rate of…

A:

Q: Integrate the following function with respect to x using partial fraction 2x - 3 r2 – 52 +6 and…

A: Given: ∫012x-3x2-5x+6dx