(In x)² X dx

Q: Given f(x, y) = 6x¹ – 5xy² + y³, find the following numerical values: fx (2, 3) = fy(2, 3) =

A: f(x,y)=6x4-5xy2+y5∂xn∂x=nxn-1(1)  for fx ,  let y=constant

Q: An oil retinery produces oil at a variable rate given by the following equation, where t is measured…

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Q: For the region bounded by y = 8 - x³, the x-axis, and y-axis, determine which of the following is…

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Q: Find the derivative. [m(2)] d dx

A: Given ddx[ ln( x + 2 x - 2  ) ]

Q: A stone is dropped from the upper observation deck of a tower, 350 m above the ground. (Assume g =…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs about the line x…

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Q: In Exercises 99-104, find two values of 0,0 ≤ 0 < 2, that satisfy each equation. 99. sin 0 = 100.…

A: We need to find values of theta. As per Bartleby guidelines we can solve 3 questions from multiple…

Q: secx+1 tan x || sin x 1-cos

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Q: Find dy/dx if y A. C. 8x -8 8x √(x²-8) ³ B. D. -8 √√(x²+8)³ -8.x √√(x²+8)³

A: Given y=4x24+2 The objective is to find the derivative of y with respect to x.

Q: Given w = 1. Find y 27 In z 83 w дхдудz

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Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had…

A: To find the half life .

Q: Find the area of the region using a double integral. The region bounded by y = 4x5, 2x + y = 6, and…

A: To find the area of the region by using a double integral The region bounded by y=4x5, 2x+y=6, and…

Q: Suppose the position of an object moving in a straight line is given by s(t)=5t2+4t+5 Find the…

A: given  s(t)=5t2+4t+5formula for instantaneous velocity is dsdtdxndx=nxn-1d dx(constant)=0

Q: Find the angle in radians between the planes 3x−z=1 and 4y+z=1. and 13.0384048104053

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Q: I can't see all of the work, It is cut off. Please evaluate again and show work. Thank you.

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Q: Let R be the region bounded by the following curves. Use the method of your choice to find the…

A: Volume of the region obtained by rotating the region about y axis V = ∫abπ( y )2dx Given y = x y ==…

Q: dy dx = xy is directly integrable.

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Q: y-g(x) 3 2 1 0 -1+ 2

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Q: 1. Use the addition and subtraction formulas to reduce 20 to 0. (a) sin(20) (b) cos(20)

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Q: 5s - 7 (s + 3) (s² + 2)

A: Since we are given with multiple numbers of questions and answer will be according to the guidelines

Q: Find the area of the region bounded by the graphs of the equations y = cos²x, y = sin²(x), x ㅠ 4 and…

A: INTRODUCTION Integral calculus can be used to calculate the area between two curves, which is the…

Q: Find f. f(0) = f "(0) = sin + cos 0, f(0) = 3, f'(0) f'(0) = 3 0

A: As per the instruction, we will be answering the first question. Given: So,               f…

Q: The given family of functions is the general solution of the differential equation on the indicated…

A: Given y=c1ex+c2e-xy''-y=0y0=0y'0=1 We are required to find the value of y       The following…

Q: Find the arc length of the curve below on the given interval. 3 1/3 4 y= 2x5/3. - +7 on [1,8]

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Q: Use the formula for instantaneous rate of​ change, approximating the limit by using smaller and…

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Q: Find an equation of the tangent line to the graph of the following function f at the specified…

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Q: Below is the graph of a function f. ● 8- -6-4-2 6+ 4+ 2 -2+ 6 Use the graph to determine all the…

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Q: The given two-parameter family is a solution of the indicated differential equation on the interval…

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Q: The graph of y = J (x) 10+ 9 8 7 6 5 4 T 3 2 + 10-98-7-6-5-4-3-2-1-₁ -2 -3 --4 -5- -6- -7- -8 -9 10…

A: The answer is in step2.

Q: Hi, you need to breakdown the answer by steps!  I cannot see the full explanation of the question I…

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Q: Finding an Inverse Function Algebraically In Exercises 71-80, find the inverse function of f…

A: The given function, 72. fx=3x We have to find its inverse function and sketch its graph. Note:…

Q: Find the general solution of the differential equation: y'-4y = 3 sin(2t) Use lower case c for the…

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Q: 5. Find the values of x where the graph of the function has a point of inflection. Given: f(x) = x4…

A: We need to find inflection point.

Q: f(x) = 523 -5x + b if r ≤ 9 if x > 9

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Q: Interchange the order of integration of the following integral (DO NOT EVALUATE). So St e dr dy

A: Given integration is ∫01∫y1ex3dxdy

Q: Consider the following function. F(x)=x4/5(x-91² Find the derivative of the function. F'(x)= Find…

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Q: Use the method for solving equations with linear coefficients to solve the following differential…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: If an arrow is shot upward on the moon with a velocity of 54 m/s, its height (in meters) after t…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Which of the following differential equations is separable?

A: A differential equation is called separable when it can be written in the form of dydx= f(x) g(y).…

Q: [D1a] Find the derivative of f(x) = 2x log3 (3x² + 2x + 1) Show your work, but you do not have to…

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Q: Find the arc length parameter along the given curve from the point where t=0 by evaluating the…

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Q: 4t Find the general solution of the differential equation: y'−5y = teª Use lower case c for the…

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Q: Calculate the integral 2 y² 441 + y² S ₁1 dy.

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Q: Find a curve that passes through the point (1,4) and has an arc length on the interval [2,6] given…

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Q: Find the exact value of each function using the sum or difference identities: • Sin (60° +45°) •cos…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: If x=√√ 1-t and y=-3t+1³, what is y'? (Α B (C) D -6 (t-1) (t+1) √√1-t 6(1²-1) √√1-1 -3 (1²-1) √√1-1…

A: x=1-ty=-3t+t3y'=dydx=dydtdxdtdtndt=ntn-1

Q: ons [2/2] [1.5/2] 3 4) (1/2) [1/1] 6/11 The graph below shows the relationship between the height of…

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Q: 1. Use the method of integrating factors to solve the following differential equation. dy y + da DIA…

A: Given differential equation is dydx+yx=ex2 where x&gt;0

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y…

A: Given curves:- y=x2,y=0 and x=6