An observer on the ground is 12m away from the foot of the tower 40 m high. A stone is dropped from the top of the tower. How fast in m/s is the distance between the stone and the observer changing after one second?

Q: The expanded form of the differential operator D(xD - 1) is (A) XD²-1 (в XD²+1 XD² - D XD² D

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Q: Which of the following methods can be applied to find a particular solution yp y"+y=cos(e-x)? A…

A: y''+y=cos(e-x)

Q: solve each equation in the interval 0<=\theta <2\pi  a)sec^(2)\theta =4 b) sec((5\theta )/(2))=-2

A: solve each of the following equation in the interval 0≤θ&lt;2π (a) sec2θ=4 (b) sec5θ2=-2

Q: There are many examples of the Fibonacci sequence in nature. O True False

A: The Fibonacci numbers, normally abbreviated as Fn are a mathematical collection wherein every…

Q: Solve the equation [33]43 X + [39]43 = [23]43 X+ [17]43 for XE Z43. Write your answer as X= [X]43…

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Q: 5.It is known that the data tabulated below can be modeled by the following equation x = (a +√√x)²…

A: Given: y=a+xbx2 To find: Linearizing the equation.

Q: Find a basis for the solution space of the given homogeneous linear system. x1-3x2-9x3-5x4=0…

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Q: -31 e-³¹ sin 2t 12-f(1) = t 2 14- f(t) = 1² cos Zt.

A: 12

Q: Premise 1: He is an action star or he has the support of the administration party . Premise 2: He is…

A: We have to find the rule of inference which will support the validity of the given statements.

Q: Determine whether or not the given vectors in R³ form a basis for R³. 0 0 0 V₁ -8, V3 = 8 -4 V₂ 7 -2…

A: We have to determine whether or not the given vectors in ℝ3 form basis for ℝ3

Q: (D²-2D-3)y=64xe³x

A: We have to solve the given differential equation.

Q: Note : My ID = 21160 1. Convert last 5 digits of your ID to binary number and hexadecimal number.

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Q: 1. Use the table below to find each probability for a randomly selected employee: EDUCATION AND…

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Q: For a certain battery company, the life span of the batteries follows a normal distribution. What…

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Q: NEED ASAP!! By using laplace transform to solve y’-y=cosht with y(0)=0, what would be the particular…

A: First we will take the Laplace transform of both sides then we will use the initial condition y(0) =…

Q: (D² + 1)y = sec² x csc x

A: Solve the differential equation by the method of variation of parameters : D2+1y=sec2xcscx

Q: Q3/ Find dy/dx at the given point for the following function

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: inside a room with current temperature of 31 degrees Celsius, a left over Fried Chicken is removed…

A: Given that From a table inside a room with a current temperature of 31 degrees Celsius, a leftover…

Q: Find the linearization L(x,y) of the function f(x,y) = e 7x cos (5y) at the points (0,0) and 0, 2…

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Q: A box with a square base and open top must have a volume of 62500 cm³. We wish to find the…

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Q: x=r-s, y = Q2/ Find ow/or if w = (x+y+z)³, cos(r+s), z = sin(r+s) at the point (r, s) = (0.1)

A: Given,            w=x+y+z3;   x=r-s, y=cos(r+s), z=sin(r+s)  at point (r, s) = (0, 1). To find :…

Q: For each of the following functions, apply the properties of functions to describe its domain and…

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Q: The general solution of the equation (D4+D²)y= -12 is Ay=c₁ + C₂X + c3cOSX + Casinx -3x² B y=C₁ +…

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Q: Question 7 What rule of replacement is (p^q) = pv¬q? A Hypothetical Syllogism B) Idempotence Rule of…

A: Solution:-  Options (d) is correct

Q: (b)show that: 1(cosh at cos at) s++4a

A: The solution is given as

Q: nx Pointwise Show that { J 1+ 3n on [1,00) but not uniform. Hint: use Xn = 1+ 3n = f(x)

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Q: What is the general solution of xy(xy5-1)dx + x²(1+xy5)dy=0 ?

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Q: How much did the client borrow at 5% compounded annually when he settled his obligation of P85,300…

A: To solve the given question we will use the following formula:…

Q: Find the general solution to the equation. First find a small integral root of the characteristic…

A: Solution

Q: Let a subset W be the set of all vectors in R² such that |x₁|=|x₂|. Apply the theorem for conditions…

A: Let W be a subset of all vectors in ℝ2 such that , x1 = x2. That is , W = x , x2 ∈ ℝ2 / x1 = x2 We…

Q: 2) A jar contains 4 red balls, 3 green balls, and 5 yellow balls. One ball is chosen at random from…

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Q: Compute the Fourier series for the given function f on the specified interval. a) f(x) = x, - π < x…

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Q: Greater Less than 1 Greater Less d. 7. Circle the appropriate word that will complete the sentence…

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Q: Express the indicated vector w as a linear combination of the given vectors v₁ and v₂ if this is…

A: Solution:-

Q: QUESTION 9 Let (G, 0) be a group and x = G. Suppose H is a subgroup of G that contains x. Which of…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: For the following graph of a function, estimate the area under the curve on the interval [-5, -1]…

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Q: Determine the area bounded by f(x)=x²-X and x-axis. A 1 4 unit² B unit² (C) unit² D ~/m 6 unit²

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Q: Let H be a Hilbert space, Mc H a convex subset, and (x₁) a sequence in M such that ||x₁|d, where d =…

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Q: Solve the equation [6]13 X + [12] 13 = [8]13 X + [1]13 for XE Z13. Write your answer as X = [X]13…

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Q: Based on a study, the Lorenz curves for the distribution of incomes for bankers and actuaries are…

A: Given: Lorenz curve for the distribution of incomes for bankers, fx=110x+910x3. Lorenz curve for…

Q: b. cos(3n) + 2 sin(3n)

A: Solution :-

Q: ) -12x equivalent to -9 Show y

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: Find all solutions of the equation in the interval [0, 2x) algebraically. Use the table feature of a…

A: (i) To find: solutions of tan2x-1=0 in the interval (0,2π]. (ii) To Sketch: graph of both the curves…

Q: Using the linearity of the inverse Laplace transform, solve for the solution of the differential…

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Q: 4. Determine the number of possible routes from A to B if you travel only south or cast. a) A B b) A…

A: Solution :-

Q: Using the linearity of the inverse Laplace transform, solve for the solution of the differential…

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Q: U(x1,x2) = .25ln(x1) + .6ln(x2) marshallian demands: .25Income/P1 & .6Income/P2

A: Solution : Let Income =I U(x1,x2)=0.25lnx1+0.6lnx2 Marshallian demands: 0.25Ip1 , 0.6Ip2 Inverse…

Q: Determine the area bounded by f(x)=x²-x and x-axis. Ⓒ / U A -unit² Ⓡ® / unit² B O unit² D H|4 W|N…

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Q: Show An(B-C) = (AnB) - (ANC) using set operations and identities.

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Q: 8. Given two events X and Y: Event X has probability. If event X happens, then the probability of…

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