k. [₂ x cos³ 2x sin 2x dx

Q: 1.Given : Parabola with F: (4, -3) and Directrix : Required: a. Equation in standard form y = 5 b.…

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

Q: 59. A. If ey dy = 3x² and y(1) = 2, then the particular solution y(x) is dx y = ln x³ +2 C. y = ln…

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Q: 66. Write the definite integral that computes the volume of the solid generated by revolving the…

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Q: 1. Find the solution of the following differential equation? Then find the particular solution with…

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Q: 3. Tank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B…

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Q: Both Trapezoidal Rule and Simpson's Rule give the same result when applied to any polynomial of…

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Q: /. Find the limit of the = lim 4-√x²77 X - 3 1

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Q: 49. Your new puppy needs a rectangular dog run outside. You have 50 feet of fencing and plan use the…

A: Answer to the question number 49 is given below.     We want to find the maximum area.

Q: a. secx dx /In(secx + tan x)

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Q: 12.) S³ S² (3x - 2y ¹) dy dx

A: according to company rules we can answer only the first question and rest can be reposted.

Q: Q1.B. if k-1 is an eigen value of (₁2). find one corresponding eigen vector?

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Q: Find the volume, in cubic units, generated by revolving about the x-axis the area bounded by the…

A: Let's find volume of solid.

Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: In the following limit, identify f(x), a, and L. Select the correct answer below: O f(x) = -x + 2; a…

A: A detailed solution is given below

Q: One car leaves a given point and travels cast at 20mph. Another car leaves I hour later and travels…

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Q: [3tan(x)² dx 2

A: Concept: Integration: The Sum of discrete data is denoted by Integration. The integral is calculated…

Q: 3. The Laplace transform of the f(t) = t²e-2t cos(3t) is (a) 2(+2)(8²+45-23) (s²+45+13)³…

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Q: Ex3. Find the absolute maximum and the absolute minimum values of the function f(x, y) = 2 + 2x + 4y…

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Q: Compute dy if y=U³₁, V= dx 4x+1

A: Differential

Q: Evaluate the given function for f(x) = x² +1 and g(x) = x - 4. a) f(4)-g(3) _ ƒ(2) b) g(-1+h)-g(-1)…

A: Solution: f(x)=x2+1 g(x)=x-4

Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: We have to find the volume generated by rotating the region

Q: 67. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x =…

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Q: Bernoulli Differential Equation: Find the general solution 2 = x³y4 x dy dx y-³ = cx6 + 3²4 2y-3 =…

A: To solve differential equation

Q: 4. Solve the following DE using a suitable type of transformation. y' = x + y (let v = x + y) O y =…

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Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =…

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Q: write this on paper. I need a step by step handwritten work not just the online calculator

A: Given the series,     ∑k=1∞3k3+3k2+5

Q: Find the difference quotient and simplify. f(x) = -5x²-3x+2 The difference quotient of f(x) is

A: The difference quotient of a function f(x) is given asf(x+h)-f(x)h

Q: Find the area of the surface generated by revolving the curve about the y-axis. y=4-x², 0≤x≤2.

A: In this question we have to find the area of the surface generated by revolving the curve about the…

Q: The pressure P and volume V of an expanding gas are related by the formula PVb = C, where b and C…

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Q: find the volume of the solid generated when the region R is revolved about the x-axis

A: To find the volume of the solid generated when the region R is revolved about the x‐axis.

Q: Which of the following is the equation of a sphere with radius r = (-1,0,-2)? Select one: O None of…

A: This question is related to equation of sphere, we will solve it using given information.

Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

A: Given question:- In problems 1 and 2. List both the order of the DE and state whether the DE is…

Q: The figure shows the chain drive of a bicycle. How far will the bicycle move if the pedals are…

A: I have explained the solution.

Q: tank has pure water flowing into it at 10 liters/min. The contents of the k are kept thoroughly…

A: Please refer to the image below

Q: A Let R be the region bounded by y = √cos x, x = generated when R is revolved about the x-axis. 4'…

A: Follow the procedure given below.

Q: The first step in computing the area of regions using the limit definition is to write the given as…

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Q: Consider the following functions. f₁(x) = 8, f₂(x) = cos²(x), f(x) = sin²(x) g(x) = c₁f₁(x) +…

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Q: . Find the exact value. √x + x² 2x S² dx

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Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given function:fx=12x3-63x2-72x+6

Q: A plane can fly 960 miles in the same time as it takes a car to go 240 miles. If the car travels 120…

A: Let us suppose,  speed of plane = v mph Since, speed of car is 120 mph slower than speed of plane…

Q: Evaluate √t (3t-t²) dt

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Q: Use newtons method to find the second estimate for approximating the zeros of the function. Fx =…

A: Explained below

Q: write this on paper please show step by step work

A: The given series,      ∑n=1∞13n-7

Q: Applied Calculus Class: Please see the complet review example for reference. and solve the given…

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Q: 1. 6 2x² =dx 1 + x

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Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

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Q: Q/. Find the limit of the function * lim 4-√x²³+7 3 X

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Q: Given : 6 (x, y, z) Compute the gradient 3 6y³z³ - 5 ex at = PA (2,2,1.5) of G (x, y, z)

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Q: Find the general solution of the following differential equation. y" + 12y' + 37y = 0 NOTE: Use C₁,…

A: We have to find the general solution of the differential equation y''+12y'+37y=0.

Q: A particle is moving with acceleration a(t)=12·t+3. At time t=0, its position is s(0)=7 and its…

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