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Calculus

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Q: Solve for I in the differential equation: E - L(dI/dt) - IR = 0. Where E, L and R are all constants.

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Q: find the areas of the regions enclosed by

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Q: What is an upper bound for ln(1.04) using the remainder of a third order taylor polynomial?

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Q: 3n Let an 7n + 1 (a) Determine whether {a,} is convergent. convergent divergent (b) Determine whethe...

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Q: Suppose that f is invertible, f'(x) is continuous, and that f and f' satisfy the following. 8 f(x) 2...

A: a) We use the fundamental theorem of calculus

Q: How do I do this?

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Q: Calculus Question

A: Let f(x), g(x) and h(x) are linearly dependent. So, we can write: Then we compare both sides

Q: draw the reference angle of cos(-330)

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Q: What number a>0 makes it that the area under the function f(x)=sin(2x) between x=0 and x=a is 1

A: The area under f(x) and between x=0 and x=a is given by: Given that this equals 1. We have to solv...

Q: VII. Simplify the trigonometric expressions: a) 1-cos sinz cscz b) 1+secz 1+cus

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Q: If 13 < f(x) < 16, then Глв f(1)dr<|

A: Integrate each part from 2 to 7

Q: Find two nonnegative numbers such that the sum of first number and 3 times the second number is 1200...

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Q: A point is given in rectangular coordinates. Convert the point to polar coordinates (r > 0, o s 0 < ...

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt ...

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Q: Question 7 from the attached picture. Thank you

A: Given integral

Q: f" > 0 on (-∞, -1) U (-1,0).

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Q: VIII. Use an addition or subtraction formula to find the exact value of the expression: a) tan 165° ...

A: Use addition formula and find the value:

Q: If (5f(x) + 4) dr = 3, then S f(x)dx = %3D

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Q: Find the x-coordinates of inflection points of the curve y = f(x).

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Q: Find the equation of the tangent line to the parametric curve.x = t1/2y = t3/2at t = 1. Also find (d...

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Q: a differential equation is given along with the field or problem area in which it arises. Classify e...

A: Q - 1 It as an ordinary differential equation (ODE) as it has only one independent variable t. Inde...

Q: a +1 Find all asymplutes of the graph af the furction fa) = 2.r + 4

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Q: Find the most general f. f ''(x) = 5x + sin(x)

A: First, we find f' by integrating f" c=integrating constant

Q: How do i do this?

A: The growth rate of bacteria = b'(t) We need the maximum growth rate, means we need to maximize b'(t)...

Q: Solve these integrals using substitution? Thank you

A: SINCE YOU HAVE ASKED MULTI PAL QUESTIONS IN SINGLE REQUEST , WE WILL BE ANSWERING ONLY THE FIRST QU...

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex a...

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Q: sketch the domain of f(x,y) = sqrt(x^2-y) and describe the level curve

A: Domain of a function is the collection of all values that go into a function. A level curve of a fun...

Q: differentiate the function y=(x^4 sin^2(x))^(3x)

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Q: Determine the end behavior of the following functions by evaluating the limits

A: From this limit, we know that when x approaches -infinity then y approaches +infinity. so, on the le...

Q: A manufacturer has been selling 1000 flat-screen TVs a week at $300 each. A market survey indicates ...

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Q: [2 0 2 10-8 |2. You are given a system |0 3 Show that the determinant of the coefficient matrix is n...

A: Given equation is

Q: Calculate the following integral with detailed steps? Thank you!

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Q: Suppose that f is a function such that lim f(x) = 1, and that lim f(x) = %3D %3D What is lim arctan[...

A:

Q: Task 3: ...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: The average energy E (in kcal) needed for a lizard to walk or run a distance of 1 km has been modele...

A: Energy needed for a lizard to walk or run a distance of 1 km is modeled by the below equation. Here...

Q: show solution

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Q: 12 Find L4 for (æ² + 1) dæ. Recall L4 is the Riemann sum with 4 equal length subdivisions using LEFT...

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Q: area betweencurves y=(9/x)-1 and y=14/(x^2)

A: We first sketch the region using a graphing calculator. y=(9/x)-1 (blue) y=14/x2 (red) x is from 2...

Q: Find (2x + 1)*dx. You answer should be correct to 2 places after the decimal point.

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Q: find the horizontal and vertical tangent lines for the implicitly defined function: x^2/4+y^2=1

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Q: Picture Attached. Q1. a,b and c

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Q: An object is thrown straight up with a velocity, in ft/s, given by v(t) = -32t + 65, where t is in s...

A: (a) initial velocity = velocity at time 0 = -32 x 0 + 65 = 65 ft/s (b) V(t) is decreasing with t. He...

Q: Alzheimer’s Disease: As baby boomers enter their golden years, the number of people afflicted with A...

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Q: Centerville is located at (9, 0) in the æy-plane, Springfield is at (0, 8), and Shelbyville is at (0...

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Q: Draw a graph for following f' > 0 on (-∞,1) and f"l > 0 on (-∞, 1) U (1, ∞).

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Q: Find the center, vertices, foci, and eccentricity of the ellipse. Then sketch the ellipse. (x^2/4)+...

A: Compare the equation with the standard form of ellipse (vertical) So, h=0, k=0, a=9, b=2

Q: determine whether the given function is a solution to the given differential equation. Q7 in the pic...

A: Given differential equation is Given function is We will find dy/dx and d^2y/dx^2 , using the resu...

Q: How can I find f(x) given the below?

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Q: Find the absolute maximum value M and the absolute minimum value m of the function f(x) = ² +x on th...

A: We first find the critical values by solving f'(x)=0 Only x=3 is in the interval [1,9]

Q: Evaluate the following limit

A: On the graph we have the point (4,0) and the graph is continuous there.

Transcribed Image Text

Use the shell method to write and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis. x + y? = 16 4 8. 12 16 31