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Q: Find the area of a triangle bounded by lines y=2x and x=1 by a.) single integration b.) double int...

A: Given: - The lines are, y=2x and x=1  To find: - The area of a triangle bounded by given lines. (a) ...

Q: What is the long term behavior of the solution with the initial condition (-2, 2)? 3 1 -1 5A4 -2 514...

A: Find your answer below 

Q: &r4- V -, determine the Let y=f (x) + C be the antiderivative of F (x) = space) if *=3.6, and y= 17.

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: The solution is x= Solve for x. (Simplify your answer. Type an exact answer, using radicals as neede...

A: Given query is to find the value of x.

Q: Solve the given differential equation. All solutions should be found. (8y" + 20°y) dx – (7xy° + x") ...

A:

Q: -5х + сos (9x)-1 (9х) — 1 Evaluate lim 2x Submit an exact answer.

A: NOTE: Refresh your page if you can't see any equations. . use the L'hospital rule

Q: Lim Ex +1

A: Here we have to evaluate limx→42x+1x-2

Q: f(x) =In(tan¯'x)

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Q: Describe how the graph of the function g(x) = -|x|-7 can be obtained from the basic graph. Then grap...

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Q: 23-24 Verify the linear approximation at (0, 0). 23. e" cos (ry) ze+1

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

Q: Find the solution of the given initial value problem. ty' + 4y = t –t+ 5, y(1) = 4, t >0

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Q: 2. Determine the following limits. If the value is infinite, specify o or - o with enough justificat...

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Q: Solve the given differential equation. All solutions should be found. dy e9 +13y da NOTE: Usec for t...

A:

Q: 7. Including complex zeros find all zeros of f(x) = 9x° + 57x² + 66x + 30

A: We have to find the zeros of the given polynomial.

Q: (sinh(x)(x² + 7°)] 1. dx d In(x² – 4x + 13) + sin(zx) dx et d? sin? dx2 (sr + v=)|

A: a. ddxsinhxx2+7x=coshxx2+7x+2x+7xlog7sinhx      duv=uv'+vu'b.ddxlnx2-4x+13+sinπxex=1x2-4x+13×2x-4+πc...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)*+1 8k k=...

A:

Q: Given 2 non-zero vectors ū and v, calculate (4ü +3v)•(2ũ – v) and express the final answer in terms ...

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Q: Question: Approximate aresin(0.1) using a first degree Taylor polynomial of f(x) = arcsin(x) centere...

A: Given: fx=sin-1x---------------------------------To approximate sin-10.1 using first order Taylor ex...

Q: Solve. (Simplify your answer. Type an exact answer, using radicais as needed. Express complex number...

A:

Q: nd the area of the circular sector given a central angle of and a radius of 3 inch

A: θ = π5r =3

Q: What you see below is an image of a solid with an equilateral base. The distance of a side from the ...

A: The formula used: -  1.perimeter of polygon=number of sides ×length of side 2.Area of polygon=12× Ap...

Q: dy Write down a differential equation of the form dt = ay + b whose all other solutions diverge from...

A:

Q: Use cofunctions of complementary angles to find θ where cos(17deg) = sin(θ). Use logarithm properti...

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: For which values of x is the function below NOT continuous?

A: To find out the values of x at which the function is discontinuous.

Q: Find the equation of the tangent plane to the surface 2x^2 -xz + y^2 -zy = -5 at the point (1, 3, 4)

A: First we find out partial derivative at given point and then find the equation of the tangent plane ...

Q: Consider the function f(x) = 1 – 5x on the interval - 3, 4. Find the average or mean slope of the fu...

A: Application

Q: [2x+5y=7 3x + 2y = -6' 1. Solve the linear system using graphical method.

A: The given linear system,2x+5y=73x+2y=-6

Q: Find the slope-intercept form of the equation of the tangent line to the curve defined by x-2 3 fra)...

A: Equation of tangent line at the point (a,b) of the curve y=f(x) is f(x)-f(a)=f'(a)x-a

Q: 2. S cos Vædx

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Q: Consider the quadratic function below and (a) find the vertex; (b) find the axis of symmetry; (c) de...

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Q: 2. Let b 1, and graph C ate- using different values for a. Explain the effect of the parameter a.

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Q: T – 8r – 9 22. Evaluate 4 7² – 8x – 9 *xp: a. cosh -1X – 4 + C. sinh-1t – 4 +C b. 4 cosh -1x - 4 +C ...

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Q: lim f(x) r→-2

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Q: Find the points at which the following function is discontinuous. 2x2 + 4 if x 4 f(x) = { 6x2 + 2 2...

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Q: What is the vertical stretch or compression? What is the horizontal stretch or compression? what i...

A: Graph

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 – 7x)y² , y(0) : - ...

A:

Q: Answer the following True or False: 3 and f(7), S() Is horizontal at z C. 3. Then there exists a c L...

A: According to Rolle's theorem- If a function f(x) is differentiable from x=a to x=b. And the values f...

Q: Use the graph of f(x) to find the x-intercepts of the graph and the zeros of the 26 function. 16 The...

A:

Q: Since (k + 1)³/3k+1 ki3 /3* (1+ ±)* _ 1 lim k→+0 lim k→+∞ 3 3 the series (converges/diverges/inconcl...

A: The given series,       ∑k=1∞k33k

Q: Suppose y = V2x + 1, where x and y are functions of t. (a) If dx/dt = 15, find dy/dt when x = 4. dy ...

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Q: 2 SET UP AN INIELLAL foRmULA fer Tte VOLume uf THE ScaO 2 C-ÉNELATEN UHEN THE RACIION BOUDEO BY Y=x,...

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Q: If we apply Rolle's Theorem to the function f(r) -2r 16r 8 on the interval 2, 6, how many values of ...

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Q: 1 2 Find the maximum and minimum values of the function - 6x + 8 - 2 2/3

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Q: 2/3 if fox)= 3x- point A(8,2) to B (27,17) l0, find the length of the graph of f frome

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Q: A spherical balloon is inflated and its volume increases at a rate of 30 in3 /min. (a). What is the ...

A: Given that, The spherical balloon is inflated and its rate of change of volume is; dVdt=30 (in3min) ...

Q: Find an equation of the line passing through the pair of points. (4, 3), (-4, –4) Sketch the line.

A: We can find the required line as below.

Q: Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west a...

A:

Q: Solve the given differential equation. All solutions should be found. (8y"+2x°y) dx - (7cy°+) dy = 0...

A: This is a homogenous equation.  Let y=vx