A rectangle is constructed with its base on the diameter of a semicircle with radius of 6 feet and its two other vertices on the semicircle. What are the dimensions ofthe rectangle with maximum area?

Q: Use differentials to approximate 13.7. b Express your answer as a t C Answer where is the nearest…

A: to approximate √(13.7) by the use of differentials.

Q: II. Write the D.E. which have the following solutions: 1.) y = x²e-x + 4e*

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Q: When b < 0, the function g(x)=√√bx has what relationship to the base function f(x)=√√x? O f(x) is…

A: Given that , gx=bx , b&lt;0 what is the relationship to the base function fx=x.

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A: Given; p(x)=13+3x6 −8x7

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A: Given that f(x)=ex2+3x+1

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Q: Use L'Hôpital's rule to compute the limit lim z²+1 z→i z4+1

A: To find the limit of given complex function

Q: 4. Find an equation of the plane containing the line the point (5,0-4). — (x-3) = (y+5) = -1/3 (²+2)…

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Q: . Z= t t² +4

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Q: Write each of the following lines in scalar, vector, parametric, and symmetric form. Scalar…

A: Student has specifically requested help for 2nd row. Hence, answer to that row is provided below :

Q: In Exercises , determine whether the function is even, odd, orneither.11. y = 1 - cos x 12. y = sec…

A: A function y=fx is even if f-x=fx and function y=fx is odd if f-x=-fx

Q: n=1 (n!)² (kn)!

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Q: evaluate ∮[e^x+6xy]dx + [8x^2+siny^2]dy

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Q: A conical water tank with vertex down has a radius of 15 feet at the top and is 22 feet high. If…

A: Given that , r=15 feeth=22 feetdVdt=20 ft3/min When h=17 feet find dhdt=?

Q: A company estimates that it will sell​ N(x) units of a product after spending​ $x thousand on​…

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Q: Suppose that the functions g and h are defined for all real numbers x as follows. g(x)=x-1 h(x) =…

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Q: Use the graph to identify the points on the interval [a,b] at which local and absolute extreme…

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Q: Find the slope of the tangent line to the curve at the point (0, -2): x²y² = (y + 1)² (4- y²)

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Q: Match each radical expression to an equivalent expression. The expressions are not necessarily in…

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Q: Evaluate the following integral: 3 L² (20³ 1 (x³ + 2x) ex² dx ૨૨

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Q: your answer in radians in e is more than one soluti

A: We are asked to solve the equation

Q: 3. (20%) Consider the following multiplication of matrices: [A][B]=[C] 6 4 9 C₁1 C12 C13 6 2 -2 3 1…

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Q: When a model rocket is launched, the propellantburns for a few seconds, accelerating the rocket…

A: Given the model of a rocket is launched and the graph is

Q: e antiderivative of the function: f(x) = 4x³ – 7 25-28+c ³-x+c Ox-x8+c

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Q: 7x+4 x²-x-6 S: -dx

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Q: 1) an 1 √n²+1-n

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Q: Question 3 The appropriate Fourier transform to solve (a² + m²) a²u - Du -∞0 u(x,0)=ex, -∞<x<* o O…

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Q: Given the vectors = (-3, -2) and = (5, -7), find 4u - 2V.

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Q: company manufactures and sells x television sets per month. The monthly cost and​ price-demand…

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Q: A company runs food service concessions for sporting events throughout the country. Their marketing…

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Q: Solve the following initial value problem. Provide your answer below: f(x) = f"(x) = -24x² - 6x-10,…

A: Topic = Integration

Q: is given a metric space M with metric d, prove that any epsilon ball is an open set.

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Q: express the set of numbers x satisfying the given condition as an interval. |x| &lt; 4

A: Given: |x|&lt;4

Q: part 1 Given the function f(x) = (x² - 9) defined on [-2,2] 1. f(x) has a critical number at x = 2.…

A: Given f(x)=(x²-9)-2/3 To get critical point we put f'(x)=0 So, f'(x)= -2/3(x²-9)-5/3*(2x)

Q: Graph the following functions: . 1. y = x at n = -2, -1, 0, 1, 2, 3. 1 1 3 2 2' 3' 2' 3* 2. y = x at…

A: Consider  y=xn     at  n=-2,-1,0,1,2,3y=xn       at n=12,13,32,23

Q: Solve all pic allive informed if F(x,y) = 0 find a²F ах ду

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Q: What is the interval of convergence for the series Σn (x − 3)" ? n=1] A B C (2,4) (0,4) (-3,3) (D)…

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Q: hi , this question seems incomplete?

A: Given g(x)=a/(x-b) +c  From the graph we can see that, As x tends to -∞, g(x) tends to 1....(i) As x…

Q: Evaluate the surface integral SS G(x,y,z) do using a parametric description of the surface. S 2 2 2…

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Q: The graph of a function is shown below. 10+ 9 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 x - 3 (x + 1)(x - 1) 00…

A: To determine the expression for the given functionp

Q: Write a possible equation for the following graphs. Explain your reasoning. 6) 16 4 2 y

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Q: Solve log4 (x + 2) - log4 (3) = log₁ (2x + 1) Line 1: x + 2-3 = 2x+1 Line 2: x-1= 2x+1 Line 3: -1 =…

A: The given logarithm expression log4x+2-log43=log42x+1. We have to find the solution of the…

Q: Find dy/dt for the equation below. 4x^2 + xy – 4y^3 = 8

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Q: Find the equation of the plane containing lo and l₂

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Q: est area of a rectangle whose perimeter is 14 is: a =:The function f(x) = X-2 has a at x=2: a)Hole…

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Q: 8. Jorsen invested $3700 that earned 3% and paid $277.50 in simple interest. What length of time was…

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Q: Prove the statement using & -o definition of limit. lim (2x - 5) = 3 X-4

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