Find the derivative of the function using Chain Rule. h(x) = (2x-6)-¹ (x²+3)

Q: I 8. y" + siny = 0; y (0) = 1, y' (0) = 0

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Q: State the restriction on the domain and then find the inverse of the function. f(x) = x² - 6x Domain…

A: The given function is fx=x2-6x

Q: Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. dy - + y = f(x),…

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Q: Complete the statement. If a function f has an inverse and f(x) = -1, then f (-1)=_ If a function f…

A: The function f has an inverse function and fπ=-1

Q: The integrating factor of the given DE are already given below. What is the value of “n” y2dx…

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Q: The derivative of a function of fat z is given by provided the limit exists. f(x+h)-f(x) = f'(x) =…

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Q: Given a function f(x). Suppose that Newton's interpolating polynomial P(x) of f(x) at the points…

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Q: Use an appropriate area formula to find the area of the triangle with the given side lengths. a = 14…

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: 8 20 ह n=0 77+1 A. The series converges. Its sum is B. The series diverges.

A: The objective of the question is determine the sum of the geometric series.

Q: Determine whether the given set of functions is linearly independent on the interval (-∞0, 00).…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 3 1 - x + 3y + z = 4 -½-X 2 Find the normal…

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Q: Evaluate the following integral and express in exact form: cos(x/2) sin(x/2) dx

A: SOLUTION-

Q: 5x *(2,3)=ze4%. yer. Then Vf= and Duf(1, -1) in the direction of the vector (1, 1) is

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Q: Estimate the minimum number of subintervals needed to approximate the following integral an error…

A: The solution is given below

Q: Problem 2.5 Evaluate lim x →0+ 1 (-/-)

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Q: Find the directional derivative of the function at P in the direction of v. == P(1, 2), v = -j f(x,…

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Q: Tutorial Exercise You are given the dollar value of a product in 2016 and the rate at which the…

A: topic- linear equations

Q: Suppose that in solving an equation over the interval [0,360°), you reach the step sin 0= --- 2…

A: Solve the following

Q: lim x→5 3x |x-5|

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Q: Complete the missing ones: (those highlighted ones) Integrate: 2x [cscs (²) dx SC 3 [csc (3) dx =…

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Q: Find the Laplace Transform of f(t) = te cos(3t) (A) B D s+1 s² (s+ 1)² +9s² = ((5+1) ²+9) S s²…

A: This question is related to Laplace transform, we will solve it using given information.

Q: Find the exact value of cos 2x given that sinx= - 3 and x is in quadrant III.

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = u = 5i + 2j + k v=i+j+ 7k w = i…

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Q: Two circles of radius 5, with centers at (-3, 0) and (3, 0), intersect as shown in the figure. Find…

A: Two circles of radius 5, with centers at (-3, 0) and (3, 0), intersect  as shown in the figure. To…

Q: Consider the following planes. 3x + 2y z = 28 x - 4y + 2z = 0 (a) Find the angle between the two…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Evaluate Integrals [(yex - Inyx) dx

A: Follow the procedure given below.

Q: Solve the given differential equation by undetermined coefficients. y" - 8y' + 16y = 12x + 6 y(x) =

A: The given differential equation is;  y''-8y'+16y=12x+6.

Q: Use Simpson's rule with four subdivisions, to estimate the following integral f/² cos x dx

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Q: Consider the following. u = (2, -1,0) v = (-6, 5, 0) Find u x v. Determine if u x v is orthogonal to…

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Q: Solve the problem. 16) The graph shows the height h (in meters) of a roller coaster t seconds after…

A: In this question, we need to find the time intervals in which the height of roller caster is…

Q: 5. Previously we used the recurrence relation dn+1 = 0.5dn + 200, d₁= 200 and the assumption that…

A: Given dn+1=0.5dn+200 and dn→L as n→∞. To find L .

Q: A force of 880 newtons stretches a spring 4 meters. A mass of 55 kilograms is attached to the end of…

A: The solution is given below

Q: Complete the missing ones: (those highlighted ones) Integrate: .2x [cotcscdx 3 3 2x [cots (2) csc²…

A: Explanation of the answer is as follows

Q: 10. (a) Construct the Taylor polynomial p3(x) of degree 3 for the function f(x) = 1/(2-x) around x =…

A: Solution is given below:

Q: he indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: The radius of a right circular cylinder is measured to be 15cm and its height is measured to be…

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Q: aU: Calculate the derivative of function is not differentiable at an explain in your own words why…

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Q: A population is growing according to the logistic model 5500 1+ 4.8 1.9t N = where t is the time in…

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Q: Consider the following functions. f₁(x) = 0, f₂(x) = x, f(x) = ex g(x) = C₁f₁(x) + C₂f₂(x) + C₂f3(x)…

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Q: Consider the following. u = −7i - 2j - 4k, V = 4j + 4k (a) Find the projection of u onto v.

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Q: 4. Solve y 3x 3y + 2y" e using undetermined coefficient. Show all the work.

A: We need to solve D.E.

Q: lim x→−6+ e²x x +6

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Q: The given differential equation is already in standard form, as the coefficient of the highest order…

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Q: Solve the following by indicating the steps and describe the process: sinx dx SCOS² 1.

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

Q: Given z = f(x, y), x= x(u, v), y = y(u, v), with x(4, 2) = 5 and y(4,2)= 1, calculate zu(4, 2) in…

A: Given that z = f(x,y) , x =x(u,v) , y=y(u,v)  we have to find zu(4,2)

Q: Evaluate the following definite integral by using suitable trigonometry substitution: √2√3-2² dx.

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Q: thats a natural log of 9 to 0 and integral from 9 to e^x

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Q: TryMaryviar yıvıar Question 9 of 10 Find the equations of the tangent lines to the graph of y=x2+6…

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