f sec¹ x dx

Q: 2² (9-82ja 9-1² 9. S dt

A:

Q: What is the derivative of y = 8 cos x? -16 sin x -8 sin x 8 sin x 16 sin x

A: In this question, we need to find the derivative.

Q: 30. Determine if the integral dx is convergent or divergent c. Neither a. Convergent b. Divergent d.…

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Q: Find the Taylor series expansion of f(x) = ln(3-2x) about a = 1.

A: Given: f(x)=ln3-2x,a=1

Q: 2x³ is an antiderivative of what function? y = 6x² y = -6x² X y = y = - 2 X 2

A: 2x3 is an antiderivative of what function.

Q: Whatis the derivative of y = sin (2x − 1)? dx = 2 cos (2x - 1) dy dx = cos 2x dy -2 cos (2x - 1) cos…

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Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

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Q: Use the chain rule to find the indicated partial derivatives. z = x4 + x²y, x = s + 2t - u, y = stu2…

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Q: 3- Find the area between the parabola x² = 4y and the straight line x-2y + 4 = 0

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Q: Given the graph below, what can you say about the function at (-1,1)? Not Continuous Continuous

A: Here we have to find whether the given graph is continuous or not.

Q: Evaluate the given limit. Show your complete solution. limx→∞ [e5z + x²]

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Q: 2x S x5 e ²x dx

A:

Q: 2.) Determine whether the geometric series is convergent or divergent. If it is convergent, find its…

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Q: Determine the area of the region enclosed by the curves y - 3x = 2 and 2x² - 4-2y = 0. Do not…

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Q: Z = 5 X 4 2 -7x+8 d²z dx2

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: The given differential equation,      2y'+y=7t2

Q: Question 5 What is the limx→ [(ln(2x - 4)) - (ln(x+3))]? If your answer is a Whole Number Fraction…

A: limx-infinity [ln(2x-4)-ln(x+3)].

Q: We wish to find the solution to dy = 26y that passes through the point (x, y) = (1, 3).

A:

Q: What is the derivative of x² + y² = 9 using mplicit differentiation? dx = xy dy dx = -xy dy dx dy dx…

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

Q: 2.) Determine whether the geometric series is convergent or divergent. If it is Σ(13) " n=1…

A: To determine  whether the given geometric series is convergent or divergent. If it is convergent, to…

Q: The graph of f is given below. -2.5 -2 -1.5 Why is f not differentiable at = -1? Of has no tangent…

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Q: What is the lim, 0+ sin(y) In(y)?

A: limy→ 0+sinylny=limy→ 0+lny1sinyBy L'Hopital's rule,=limy→ 0+1y-cotycscy=limy→…

Q: What is the limx→5 5x + 2? 3 5 1 27 1 3

A: To evaluate: limx→5 5x+23 Let y = limx→5 5x+23 y = limx→5 5x+213

Q: Evaluate: lim, 1+ (-1)2 tan(x)

A: Evaluate the following limit

Q: 4.2.3. Find the integrating factor by inspection then solve the following differential equation.…

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Q: -2 2 о 0 Ау N Х

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Q: Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. -Y. 3. Find the unit vector…

A: Follow the procedure given below.

Q: 50° 60° 70° ?

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Q: 4.2.2. Find the integrating factor by inspection then solve the following differential equation.…

A: A detailed solution is given below.

Q: When is a function Fan antiderivative function f? of a if F(x) is continuous for all x in the domain…

A: We know that,  if a function F( x) is called an antiderivative of a function of f( x) if      F'(x)…

Q: 3. A point P(3,0,5) lies on a plane that can be defined by the scalar equation Ax+By+Cz+ D = 0. A…

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Q: Find for the following equation by Implicit Partial Differentiation; дz x³ + y²z4 + 3xyz = 5

A: Implicit partial differentiation

Q: 1. If f(x) = sinx, show that f(x + y)-f(x) = cos x siny - 2 sin x sin² 2 2Y-T

A: 1) Given f(x)=sin(x)

Q: Find an equation for the level surface of the function through a given point. x-y + 2z (1,0, -1)…

A: Concept: Level surfaces: For a function, w=f(x,y,z):U⊆R3→Rw=f(x,y,z):U⊆R3→R the level surface of…

Q: How many asymptotes (both vertical and horizontal) does the following function have: sin(x) -?…

A: To determine the number of asymptotes for the given function.

Q: Suppose that f(5) = 1, f '(5) = 7, g(5) = −5, and g'(5) = 8.Find the following values.

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Q: -9-x²-y² L.**** 1 dz dy dx 0 (a) Sketch each of the following: • the solid E . the projection of E…

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Q: Given a function f(w, x, y, z) = y ln(wx) + (+1) tan z, which of the following is not part of the…

A: follow next step

Q: For the following flux rules, determine regions of the real line where u is instantaneously…

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Q: dx (x²+1)(x²-4)² dx (x²+4x+4) (x²-4) dx x(x+1)(x²+5x+6) S S S

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Q: • How. Find the lengths for the following curver.. 1= r = 1 + cosa

A: Explanation of the answer is as follows

Q: ] Find the Taylor series expansion of f(x) = ln(3-2x) about a = 1.

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Q: 8 What is the lim+2+ (2²4-²2)?

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Q: You may use your calculator. A particle is moving with velocity v(t) = t2-9t + 1 seconds inclusive.…

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Q: Given the graph below, what can you say about the function at x = 1? 10 Continuous Not Continuous

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Q: Find the solution to the differential equation below such that y(0) = 14 y' = 10xy - 2x y(x) =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 30 Which one of the following is the gradient of the tangent line at the point (5, 1) on the graph…

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Q: 3. Choose three vectors: and Use these vectors to verify the associative property.

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Q: lim,→-1 22²+2-1 2+1

A: See the answer below

Q: Solve the problem using implicit partial differentiation. Show your complete solution. No shortcuts.…

A: