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Q: Circulation and flux Find the circulation and the outward flux of the following vector fields for th...

A: Given: (i). F = ⟨x - y, x⟩ (ii). r(t) = ⟨2 cost, 2 sint⟩ , for 0 ≤ t ≤ 2π To Find: Circulation and o...

Q: Verify the differentiation formula.

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Q: Evaluate the trigonometric function. Round your answers to four decimal places cos(−3/7 )

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Q: Show that 13x - 12 can be made as small as desired by taking x close to 4. lim (7x - 4) = 10x➔2

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Q: An open tank has the shape of a right circular cone. The tank is 8 feet across the top and 6 feet hi...

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Q: Find the equations of the tangent and normal lines to the graph of the natural logarithm function at...

A: Slope of the tangent line is the derivative of the given function at the given point. Now differenti...

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A: Write the equation of line in the slope-intercept form using point (2,4) and slope 1/3.

Q: Solve all parts

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Q: please explain and show all parts

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Q: Calculus Question

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Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket ...

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Q: and the parabola the vertical ine The region enclosed by the x-axis y=frx)=3x -x is revolving X=-1 t...

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Q: Use separation of variables to find the general solution of the differential equation. ely' = 3x5 + ...

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Q: Itctongular Coordinates aregiven U,3 find two Sets of polar coordinatos for the point 02C2A

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Q: Triple integrals Evaluate the following integral.

A: Given integral is, The given integral can be written as,

Q: decide if the given statement is true or false,and give a brief justiﬁcation for your answer.If true...

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Q: Find the standards forms of the equations below of the parabolas. a).vertex is at the origin, and fo...

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Q: Find the indicated partial derivative. f(x, y) = xe−y + 4y; ∂f ∂y (1, 0) ∂f ∂y ...

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Q: Calculus Question

A: As the sum of angles of a triangle is 180 degree, calculate the value of angle BCA ...

Q: 1 If sin x = x in quadrant I, then find (without finding x): 4 sin(2x) %3D cos(2a) = tan(2a)

A: First find the value of cos(x) by using the identity and substituting the numerical value of sin(x)....

Q: Find the standards form of the equations of the below parabolas with the given characteristics.

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Q: The graph of g(x) = cos x is shown below. Explain whether the points

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Q: Find the explicit formula for the general nth term of the geometric sequence described below. ...

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Q: Use a calculator to evaluate the function at the indicated values. Round your answers to three decim...

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Q: It is important to distinguish between\[\sum_{n=1}^{\infty} n^{o} \quad \text { and } \quad \sum_{n=...

A: Given: The series and .

Q: Determine whether ∞∑n=1√n/2n2+n+5 is convergent.

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Q: Find lim(x→−2)(x^2 − 4)/(x^2 − x − 6)

A: We first factor the numerator and the denominator

Q: Evaluate ∫x2−2 / x+1 / dx.

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Q: If oil leaks from a tank at a rate of r(t) gallons per minute attime t , what does ∫0120 r(t) dt re...

A: Oil leaks from a tank at a rate of r(t) gallons per minute at time t.

Q: Part 2 of 4 Now obtain the integral. (Use C for the constant of integration.) | (72 - 4)2 dt 2 + 16 ...

A: To find After finding the integral verify the result through differentiation.

Q: ƒ(g(0))

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Q: The region in the first quadrant that is bounded above by the curve y = ex - 1, below by the x-axis,...

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Q: Use integration by parts to evaluate the following integrals:

A: Logarithmic function Inverse function Algebraic function Trigonometric function Exponential function

Q: Evaluate the integrals using integration by parts. ∫ tan-1 3x dx

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Q: The rate of change (in thousands of units per year) in sales S of a biomedical syringe is modeled by...

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Q: Find the slope of the tangent line to f(x) = e^[3 (x^2) − 4x] at the point (0,1).

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Q: Find the derivative of the function. y = ln∣sin x∣

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Q: Limits at InfinityFind the limits in Exercises 41–54.

A: Dear student, Since you have posted multiple questions, as per our policy we will answer first quest...

Q: How does the shape of the ellipse change as varies?

A: Explanation: The ellipse stretches vertically when the value of b increases.

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Q: Verify the solution of the differential equation. (Enter your answers in terms of x and C only.) Sol...

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Q: Graph the functions in Exercises 23–26 in the ts-plane (t-axis horizontal, s-axis vertical). What is...

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Q: An oil company bores a hole 80m deep. Estimate the cost of boring if the cost is £30 for drilling th...

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Q: find the limit of each rational function (a) as x→ ∞and (b) as x→ -∞. Write ∞ or -∞ where appropriat...

A: a).

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Q: Use the given graph of f over the interval (0, 7) to find the following. (a) The open intervals on w...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Find a parametric description r(t) for the following curve. The segment of the curve x = sin πy from...

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Q: Evaluate the integrals using integration by parts. ∫ x2 ln x dx

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Q: Use a CAS to perform the following steps a. Plot the equation with the implicit plotter of a CAS. Ch...

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Q: write a formula for ƒ . g . h ƒ(x) = x + 1, g(x) = 3x, h(x) = 4 - x

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10. Evaluate Sc(x – y + z – 2) ds where C is the straight-line segment x = t, y = (1 – t), z = 1, from (0, 1, 1) to (1, 0, 1).