1. Find the slope-intercept form of the equation of the l given that l is the perpendicular bisector of the line segment through (2,4) and (6,8).

Q: The distance d (in feet) a moving car is from a stoplight is given by the function d(t) = 21t²,…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: We know that The volume of a solid rotated about the y-axis can be calculated by V = π∫ab[f(y)]2dy.

Q: A machinist is required to manufacture a circular metal disk with area 2300 cm². (a) What radius…

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Q: For the following, find the function P defined by a polynomial of degree 3 with real coefficients…

A: If r1 ,r2, r3  are the zeros of a polynomial p(x) then p(x) = a(x - r1)(x - r2)(x - r3)

Q: Let f be a differentiable function such that f (2) = 2 and f' (2) = 5. If g(x) = x³ f (x), what is…

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Q: (a) A spherical iron ball 6 cm in diameter is coated with a layer of ice with uniform thickness. If…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Let N, H. S. D, R. J. and B be the propositions: N: Mr. Smith is the brakeman's next-door neighbor…

A: Given proposition is  If Mr. Robbinson lives in Detroit, then he does not live in Chicago.    Now…

Q: . Use congruences to show that there is no solution to x³ + x² − x + 1 = 1522745.

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Q: Let A be a matrix, and let x and y be vectors such that neither is a scalar multiple of the other…

A: Given: Ax=y and Ay=x+2y.We need to find the value of a and b such that A5x=ax+by.

Q: 1. Use the graph of f(x) to find each of the following. a. lim f(x) = x-0 b. lim f(x): X→4- C. lim_…

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Q: 21. The tangent line in point P(?,?) of the conic section x² - 4xy-y²+2x-4y-8=0 is x-2y-2=…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: x)dy. А. у-е в. уте

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Q: Solve fz¹0 In(x) dx using Integration by Parts. Use u = ln(x) and v' = x¹0

A: We need to solve the integral ∫x10lnxdx using by parts.

Q: Solve the following quadratic equations using elimination method:

A: Given,            The system of equations are            3x-4y+20=0            2y+3x+8=0To find :…

Q: Let f(x, y) = x² - y² y-1 Sketch the domain of f on the xy-plane.

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Q: 56. S 1 √x² +9 dx

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Q: Determine if the pairs of vectors below are "parallel", "orthogonal", or "neither". a = (-1, 1, -2)…

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Q: How many three-digit numbers can be constructed from the digits 0, 1, 3, 5, 7, 9 if the number must…

A: Topic:- permutation and combinations

Q: Let f be a differentiable function such that f (3) = 4 and f' (3) = 5. If g(x) = x² f (x), what is…

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Q: 1) Suppose that f(x) = sin x . Find ƒ' (). Choose the best answer. O 0.5 O sqrt(3)/2 0 0 does not…

A: Given function, f(x)=sin(x).

Q: 15. Determine the particular solution of the following differential equation: y'=(2x+3)(y2-4) Where:…

A: Topic = Differential equation

Q: xy dx - (x² + 3y²) dy = 0.

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Q: Directions: Find the derivatives using the definition of limits (4-step Rule). Show each step from…

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Q: 4. lim tan-¹ 818 X

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Q: 15. Determine the particular solution of the following differential Where: x=0; y=1 Provide your own…

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Q: (2). 크 2 2 5

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Q: Set up the definite integral required to find the area of the region between the graph of y= 2² - 15…

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Q: Suppose you wish to retire at the age of 65 with $90,000 in savings. Determine your monthly payment…

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Q: Use the given conditions to write an equation for the line in point-slope form and in…

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Q: 23. Determine the particular solution of the following differential equation: y' 2y Where: x=1;y=1.…

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Q: 32. Determine the particular solution of the following differential equatior y'=y²-e³xy² Where: x=0;…

A: Topic = Differential Equation

Q: Find the derivative of the function g(x) = (2x² - 4x - 1)e² g'(x) =

A: Finding g'(x)

Q: Solve (x − y + 3) dx − (x − y) dy = 0 ○ (x − y)² + 6x = C O (x - y)² - 4x +y = C O (x - y)² + 6x -…

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Q: 1. write the transfer function of the differential equation. day 2dy² 3dy 3dx3 + d₁² dt dt³ a.. dt…

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Q: no. 3

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Q: ermine lim -1- 2x³5x2 x² - 1

A: Given query is to find the limit of the expression.

Q: Directions: definition Find the derivatives using the of limits (4-step Rule). Show each step from…

A: Given: y=9-7x1-xTo find:The derivative of the function

Q: A loan shark lends you $90 at 2% compound interest per week (this is a weekly, not an annual rate).…

A: NOTE: Refresh your page if you can't see any equations. . here we have P=90 r=2%=0.02 (weekly rate)…

Q: Using Undertermined Coefficients, solve the following: 4. 4y" +4y' + y = 3xe*

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Q: A graph of Y = f(x) is shown. In the same coordinate system, sketch a graph of the derivative…

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Q: What value should be assigned to f(c) to make ƒ right-continuous at x = c? (Give your answer as an…

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Q: K(x) ++ext H(x) d Identify the graphs above as the origninal, first derivative, second derivative,…

A: We have to identify the graph of the function and it's derivatives

Q: Solve the following differential equation. 4. (2x¹-2x³) dr +(4x²-61²7+217²) dx=0

A: The given differential equation is: 2x2t-2x3dt+4x3-6x2t+2xt2dx=0

Q: What is the Cartesian product A × B × C, where A is the set of all airlines and B and C are both the…

A: We know the set A×B={(a,b)| a∈A, b∈B}

Q: 2. Let A = a₁ + a2j + a3k and B = b₁i + b₂j + b3k. Then (A × B) . j is equal to a) a2bვ — a3b2 b)…

A: A=a1i+a2j+a3k B=b1i+b2j+b3k.

Q: 9. y(cos³x) (cos²2y)

A: We are asked to find the solution of the differential equation

Q: The probability density function of the length of a hinge for fastening a door is f(x) = 1.25 for…

A: Solution

Q: Set up the definite integral required to find the area of the region between the graph of y = 15 -…

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Q: Use Hooke's Law to determine the variable force in the spring problem. A force of 250 newtons…

A: Solution is done in step 2

Q: 1. EVALUATE √dady. S √dardy. Describe/sketch the given region of integration.

A: See this solution in below.