What is the area, in square feet, of the rectangle shown below? 4 ft 6. ft 4 (A) 27- 20 11 в) 11 20 3 32- 10 4/5

Q: Use the first translation principle and the basic Laplace formulas to find the inverse transform of ...

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Q: Solve for the orthogonal traectories y = x2- cX

A: The orthogonal trajectory is a curve that intersects each of the family's curves at a right angle. F...

Q: What is the approximate value of x in the system x+3y+52z = 173.61 27y + 2z = 71.31 41a 2y +3z = 65....

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Q: A small theater had 3 rows of 24 chairs each. An extra 7 chairs have just been brought in. How many....

A: We have to find the total number of chairs in the theatre.

Q: 53-N5 (0.4 – J0.3)5 + eAxM (1+ /5)" (22– 70°) (4-j179) e/15' + 515 3-N5 (7cls-) - 4+/V5 + [(6j135 – ...

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Q: Identify what law(s) are being used in each step:

A: This is a problem of the Propositional Logic.

Q: The indicated function y, (x) is a solution of the associated homogeneous equation. Use the method o...

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Q: 3. A Class contains 21 students, with 12 men and 9 women. Find the number of ways to (a) Select a 5 ...

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Q: Construct a cubic spline that interpolates sin x at nodes 0, T/2, T, 37/2, 27 (use the true derivati...

A: The given function is fx=sinx and the given node points are x=0,π2,π,3π2,2π. Therefore the given nod...

Q: 3. Using IMPLICIT DIFFERENTIATION, find y'. 2ху + 3у? y = - 4x – 5x'y Ax²y² +Bxy + Cxy' - 24y? y' = ...

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Q: A study showed that during the peak-hour commute on two routes connecting a suburb with a large city...

A: The total number of vehicles 5500. Route 1 is 7 miles long and the speed limit is 65 mile/hour Route...

Q: Given a 10 x 5 grid of cartesian coordinates starting at (0,0) and going up to (10, 5): (a)how many ...

A: Going from one point to another point is known as lattice path To find number of lattice path we wil...

Q: 1.3 Evaluate ſ, Vx dx taking h = 0.05 by trapezoidal rule.

A: evaluate ∫11.3x dx taking h=0.05 by trapezoidal rule according to trapezoidal rule ∫11.3x dx≈Tn     ...

Q: Suppose that C is the curve defined by the polar equation r = 2+4 cos 0 (called a limacon). opose th...

A: Find the attachment for the Solution.

Q: Simplify: 460 9) Simplify i" 1-4i in standard form 5+ 2i 10) Write 11) -16

A: please see the attached image

Q: Given the function f(x) = sin(x) a. Draw the graph. 2 -3/2 -Tt/2 3T/2 -1 -21 Clear All Draw: Wn

A: The graph is clearly depicted. Also it is defined at every real number so its Domain is set of Real ...

Q: Show that the two linearly independent solutions of xy" – y + xy = 0, x > 0 can %3D be obtained as x...

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Q: Let A= {(-1)" Find sup A and inf A. Provide some explanations how you got their values or why they d...

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Q: Evaluate the following surface integrals: || F. dS. (a) F = ri + yj + zk and S is the part of the pa...

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

Q: 2. y = (x + 1 )³ and y = 0 from x = - 2 to x =1.

A: We have the equation of the curve: y=(x+1)3 and y=0 from x=-2  to  x=1

Q: Exercise 3. Investigate whether the limit exists lim (x.9)→(0,0) x²y² + (x – y)²

A: Given lim(x,y)+(0,0)x2y2x2y2+(x-4)2 We have to investigate whether the limit exists

Q: Find the maximum value of the function z = 2x + 8y subject to the following constraints. 5х + 6у 2 ...

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Q: A cylindrical container has cross sectional area of 0.20 m and is open at the top. At the bottom, it...

A: When the whole system is at rest at that time water from the ballon leaks to the container and the v...

Q: PROBLEM 1: A tank originally contains 380 liters of brine holding 450 N of dissolved salt .Eight lit...

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Q: 1. Evaluate the line integral -ds y+z where C is the curve r= y², y + z = 4 from (4. 2, 2) to (0,0, ...

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Q: Question 7 Let T (x, y) represents the temperature at a point (x, y) measured in degrees Celsius. A ...

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Q: Find one real root of f (x) = x² – 3 using five iterations of Bisection Method on (1, 2). O 1.7502 1...

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Q: A man borrowed Php 120,000 and promised to pay The payment starts at "X pesos and the succeedin year...

A: Introduction: The formula for compound interest is given by, A=P(1+rn)nt Where A is compounded amoun...

Q: From the equations in the picture, a second-order differential equation for UC can be made on the fo...

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Q: Rebecca has 12 close friends. She wants to choose four of her friends as bridesmaids. How many ways ...

A: The number of combinations n has taken r at a time is equal to Crn. In this problem, a lady has 12 f...

Q: Mr. Bagain borrowed P2,000,000 for the expansion of his farm supply business. The effective rate of ...

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Q: In each of the following, eliminate the arbitrary constants 4. xsiny + x²y = c 5. y = Ax? + Be²x 6. ...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: 3.Evaluate In (5+12i). A. 2.565+1.176i B. 2.365-0.256i C. 5.625+2.112i D. 3.214-1.254i

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Q: Evaluate the complex function. Find u(x,y) and v(x,y) f (2) = e=" O e3ry sin(3x²y + y*) O e-3ry cos(...

A: To use the following problem we use the following result Z = x+iy  ez = e(x+iy) = ex( cosy +i siny)...

Q: Let f(z) : D C be a complex function. Is it possible for both f(2) and f(z) to be analytic? 2. • If ...

A: Solution

Q: 1 1 3 cos*o =cos40 -cos20 + 8

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Q: 1. Calculate the total area of this swimming pool to the nearest tenth of a square metre. +9.6 m 16....

A: Given: To the nearest tenth of a square meter, calculate the overall area of this swimming pool.

Q: Edmund can build 6 tables in 2 days. Anthony and his 2 friends join Edmund. If the four of them work...

A: If a is directly proportional to b, then it can be written that ab=k.

Q: Simplify the expression: -2(2z - 3) = Submit

A: Given -2(2z-3) expression   By simplifying it we get -4z+3

Q: Evaluate [ (3e3.31) (3+3i) ]3

A: 4. Given,           3e3.3i3+3i3

Q: What is the equivalent of the decimal number 0.125 into percent?

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Q: Evaluate: O -0.05+j0.602 O -0.05-j0.602 0.05+j0.602 O 0.05-jo.602

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Q: 1 1 -1 |1– 5k + k² 1+4k 1– 2k 3 -2 1

A: we can write the given vectors as a linear combination of vectors λ11-130+λ202-21+λ311-5k+k21+4k1-2k...

Q: T=メ- findi Tyy @ Tz 2) 3) Tzz そそ

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Q: After five iterations of the Bisection Method, determine one real root of f (x) = -3x3 + 5x? + 14x –...

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Q: Which of the following is continuous at (0,0)? A. f(x,y) = |x| + [yl x-y B. f(x, y) = and f(x,y) = 0...

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Q: Imaginary and Complex Numbers I Simplify: 13) -6 -6 14) 4+ -25 6-/-8 15) -2

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Q: The minimum point on the graph of the equation

A: Given, the minimum point on the graph of the equation y = f(x) is (1, - 5). If f(x) isshifted 4 unit...

Q: A cylindrical can of tennis balls holds a stack of three balls so they touch the can at the top,bott...

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Q: 1. BC is tangent to circle O at A. mDE = 68° mÁF = 91°. Find a. mEÀ b. mDF %3D C. MZBAE

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