You have 200 feet of fencing to enclose a rectangular plot that borders a river on two sides. If you do not fence the side along the river Find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?

Q: Q/B) Find the length of the cardioid curve: r 1+ cose

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Q: 9. Justify why the surfaces below are not pairwise locally isometric (a) Sphere S1 = {(x, y, 2) e R…

A: This is a problem of Differential Geometry.

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A: The various forms of a quadratic equation can be listed as follows. Standard form: f(x)=ax2+bx+c,…

Q: where did you get the 657? the given was 675.

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Q: Date Page 28 uhore Jyln) psthe Bessel's fuction of the first kinf- uf onder Ur

A: To show: The identity, ∫Jv+1xdx=∫Jv-1xdx-2Jvxdx, where Jvx is the Bessel's function of the first…

Q: Consider the bases B= {p1, P2} and B' = {41, 42} for P1 where P1 = 6+ 3x, p2= 10+ 2x, q1=2, q2=3+2x…

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Q: Consider the following propositional logic knowledge base (KB) that encodes these premises BAT=0 O…

A: F1 : B ^ T => 0       ≈ ~(B ^ T) v 0       ≈ ~B v ~T v O F2 : O => B ≈ ~O v B F3 : B => M ≈…

Q: 1. Express E-1 k () 3* in closed form (without using a summation sign or ellipsis).

A: Please check the next step for detailed solution

Q: 2) Find the volume of the solid under the plane z 3x + y and above the region determined by y = x'…

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Q: VAVyPry FVyxPyx

A: The main objective is to prove that the predicate is true.

Q: Q2 (a) Let n E N and let 7, w e R". Show that if ở - = 0, then || † + w||? = || T||? + ||||?. (b)…

A: To answer the given question we shall use the following rule: 1.   If x→∈ℝn, then…

Q: what is the g(x) i need that answered

A: Solution

Q: Find the result of this indefinite integral of p’dp In (1 - e ) (1- ар)" -V In z = -BE If we know…

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Q: ) Let S be the surface given by the equation y? = 9+ xz. Find the point(s) on S that are closest to…

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Q: 1, bx? )- 2 cx² +d' xdx =? -ax? ab.cand d are constants. Find the solution analytically.

A: ∫0∞e-ax2e-12bx2cx2+dxdx Substitute, x2=t , then 2xdx=dt  ,   when x=0 ,t=0 and x=∞ ,t=∞

Q: Let S be the quadric with equation 36x² –4y² –9z² – 36x = 0. Sketch a graph of the surface with…

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Q: 1 1) Use the Integral Test to determine whether the series > divergent. is (Зп — 1)* convergent or…

A: Seriese convergence by using integral test

Q: 7. Solve the following IBVP: Uu = 4uzz, 0 0, u(0, t) = 27, u(27, t) = 0, t20, u(x, 0) = x - 27,…

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Q: i) find the relative extrema of ?; (ii) determine the values of ? at which the relative extrema…

A: Since 25-x2 is defined -5≤x≤5, the domain of the given function is -5≤x≤5. Substitute fx=0 in the…

Q: Standard Error of the mean used to estimate the population mean, and to estimate differences between…

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Q: x²+2x²y-2xy+2xy –3y The expression is equal to x+y

A: We have to find simplified form of the given expression

Q: Let IIj be the plane with Cartesian equation z=0. Let II2 be the plane with Cartesian equation x=0.…

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Q: Let a € Zz be a zero of the irreducible polynomial p(x) = x3 + x² + 2 in Z3[x]. a. What is |Z3(a)|?…

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Q: (7) The radius of a sphere was measured and found to be 20 cm with a possible error in measurement…

A: Given:                      Radius (r) = 20 cm                                    ∆r = ±0.05 cm

Q: Using the matrix notation, write the system of linear equations: 2x1 - X4 5x1 + x2 X3 1 -x + 4x3 +…

A: Given, System of linear equations: 2x1 -x4 =-1 5x1 +x2 =1 x3 =1 -x1 +4x3 +x4 =0 we can write it as…

Q: 2 Find the definite integral o tan(x)dx using strips of width for the trapezium rule correct to…

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Q: show its 3d version using geogebra

A: We have the unit vector asa^=2299152, -9, -72The 3D figure of the unit vector in Geogebra is as…

Q: B. Find the value of x for which Inx + (Inx)2 + (Inx)+ (Inx)* +. = 9

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Q: Write an equation for the ellipse that satisfies each set of conditions. 16. major axis 16 units…

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Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Eu, by rouping the…

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Q: unctions are well-defined group homomorphisms? Se elections; you cannot score less than 0 on this…

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Q: How did you solve t=0 and t=2 in answering letter C?

A: As per the question we are given a definite integral describing the arc length of the curve from t=0…

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Q: I'm so sorry but I cant read your handwriting very well. Is there anyway to retype this, but not in…

A: Your required answer is retyped as shown below.

Q: y'+2xy=2x^3, y(0)=1, y(2) using h=0.2

A: As per the question we are give the following first order differential equation : y'+2xy=2x3 With…

Q: Solve with Differential Equation A tank contains 400 liters of brine. Brine containing 0.1 kg/liter…

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A: The given group is G and H≤ G. To find: How many distinct left cosets of H in G.

Q: Let I, be the line described by the Cartesian equations • x= 1 • y-9 = 2(z-7) Let l, be the line…

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Q: A circle has a perimeter of 36 cm and a sector of arc of length 12 cm. Compute the area of the…

A: We have to solve given problems:

Q: ) Let z be a particular solution to a linear equation system Az = b. Let {u, u2, uz} %3D be a…

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Q: Let lį be the line described by the Cartesian equations • x =1 • y-4 = 2(z-6) Let l2 be the line…

A: Given that l1 be the line describe by the cartesian equations                   x=1y-4=2(z-6) and…

Q: (b) Explain how the function f(x) = log(x + 3) can be graphed by using transformation of the graph…

A: (b) Given function isfx=logx+3The graph can be transformed to y=logx by the following…

Q: . u, = u, - sin x cos t, 1> 0 B.C.: «(0, t) = 0, 1.C.: u(x, 0} = 0, u,(x. 0) = 0

A: Solution :-

Q: e'dy + (5t + ye')dt = 0.

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Q: 1, * 00 EXPERIMENTAL & THEORETICAL Probability+Practice+5. Joanna, js199457 J Animations Slide Show…

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Q: Let A, B, C, D be points in 3-space with position vectors a, b, c, d respectively such that b – a =…

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Q: dy Plot the slope field for the differential equation dr

A: Given,                        dydx=y2-x  Initial condition:                    y12=1

Q: Q. Let X = {a, b, c},define the function . : P(X) [0, 00) by 2 if a E B 0if a ¢B then Pa(B) = is not…

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Q: Given the following function, choose the graph with the two possible angles with the domain 0 < A S…

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Q: Provide any set S1 and S2 such that: (a) Si and S2 are subspaces of R", and that (b) Si U S2 is also…

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