Use the graph of f(x) = ² below to find a number & such that 2-1 < 0.2 whenever 0 < |x-1|< 8. 1.2 y 1 0.8- Round your answer to four decimal places. 8 = 1

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: I am attaching image so that you understand each and every step.

Q: 1 y = x²-1 Using differential, draw the function

A: This is a problem related to differentiation. Based on the general formula and concept we will…

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A: We need to find G.C.F. , H.C.F.

Q: 1-9 13-9 X x-h 2 3 . sin (lnx²) sinx 2-9 It cosx .dx 4-9 cotx.dx хр

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Q: 4) A coin is dropped from a height of 960 feet. The height, s (measured in feet), at time, t…

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Q: 1. Evalaute lim ƒ(x), lim ƒ(x), lim f(x) for I-3+ 2-3- 1-3 f(x)= { = −x+4 x − 3 x 3

A: Topic = Limits As per guidelines , At a time only one question with three sub-parts can be answered…

Q: INTEGRATE dx ¹.Sa 4x1 2.fdx

A: According to question,Given Integral,1. ∫dx4x-1

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Q: Find the inverse function of f(x) = √x −2+7. Specify the domain for f-¹(x) ƒ−¹(x) = (x − 7)² +2 -…

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Q: Find, if y=3cose+cos³0 do, and x = sin³0

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Find the unit tangent vector T(t) at the point with the given value of the parameter t. 2t r(t) =…

A: In this question, we want to find the tangent unit vector of r(t) at t=0.

Q: f(x) = 5x + 3x4 -8x²+2x+9 Degree:

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Calculate the work (in joules) required to pump all water out of a full tank. Water exits here. d b…

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Q: Find the inverse function of f(x) = Specify the domain for f-¹(x) f-1(2) = = 2-9 Domain of f¹(x)…

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Q: Find the values of x and y - SX+(s+6) Y=1 (3-s) X-2sY= -8 ..... (1) (2) ...

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Q: Q2A)Matrix A = 123 ,find Eigen values of A².

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Q: Find the inverse function f¯1 of the function f. Find the range of f and the domain and range of f T…

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Q: Find the tangential and normal components of acceleration at the given time t for the plane curve…

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Q: sto

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Q: Complete each of the following problems showing ALL your work. Answer the following questions…

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Q: Find an explicit solution of the given initial-value problem. √2 √1-y² dx - √1-x² dy = 0, y(0) = 2 y…

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Q: 6y²dx − x(2x³ + y)dy = 0.

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Q: Find the arc length of the curve y = 2/3 (x − 1)3/2 on the interval [2,3]

A: Arc length is given by the following formula

Q: Find the indicated derivative. dy dt dy 11 for y=(2.5t-4t²) (2t+1.4)

A: Given that,   y=2.5t-4t22t+1.4

Q: 3 4 Q4) Suppose a class contains girls, and boys. Suppose that 40% of the girls have long hair, and…

A: Above question is solved.

Q: B)Solve the differential equation = x - y. dx

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Q: A function f and a point P are given. Let 0 correspond to the direction of the directional…

A: Solve the following

Q: S²₁₂ So 1-y² √x² + y² √x²+y² xyzdzdxdy

A: We know that integration power rule is - Integration of xn is xn+1/n+1 +C . Here C is integral…

Q: 3. Find the limit of the sequence 12n5 6n5 +47 :} or determine that it diverges.

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Q: 2. For the quadratic function y = -6x² + (K + 4)x+ 9, find the following: a. The Axis of Symmetry of…

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Q: [1 if A= 2 13 23 2 1 -2 find det (A) if 3 3 -1. 6 O 38 O 16 O 18 O 48 O

A: The solution is given in the next step.

Q: if (1+i)(x+iy) = 2+4i then 5x is : O 15 O 10 O 5 O 3

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Q: In this problem, y = c₂e + c₂e is a two-parameter family of solutions of the second-order DE y" - y…

A: To find solution.

Q: 3 Q4) Suppose a class contains girls, and boys. Suppose that 40% of the girls have long hair, and…

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Q: State the order of the given ordinary differential equation. ty(6)t5y" + 5y = 0

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Q: Jse calculus to find the open intervals on which the function f(x) = x+8√√2-x is increasing or…

A: solution given below

Q: dy 2 +6y=3 dx y(x) = Give the largest interval I over which the general solution is defined. (Think…

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A: Using exact equation as given below:

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: dy = y2-y that passes through the indicated points. dx Find a solution of x (a) (0, 1) y = (b) (0,0)…

A: The solution is given in the next steps.

Q: Sketch the graph of the floor function f(x) = [x+3] over the interval [-4, 2].

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Q: The triangle inequality is the most common algebraic tool for rigorously proving order…

A: Note:- As you want the answer of 4th statement so i am solving only it.

Q: C. 1:4 During a 200 metres race an athlete passed through the 30m point at the 12th minute. What was…

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Q: f dx 3sinhx - 5 cosh x

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

Q: Q4/(A) Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the direction.

A: Given

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A: Given that a  differential equations and we classify each differential equations is separable, exact…

Q: Calculus is a powerful tool used in economics. One of the initial applications areas is the study of…

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Q: Q5) Find dw/dt at the given value foe the following functions 2) w = 2ve* - lnz.x = ln(t+1), v =…

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Q: Find y' if y= y' = x5-4x²+4 2 X

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Q: Q1/ Find -1 s² (s+1)(S-1)²

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