State where the power series is centered. E nx" n= 0

Q: Consider the function on the interval (0, 2x). f(x) = sin(x) cos(x) + 7 (a) Find the open interval(s...

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Q: f. xy³y' = x +In(x)

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Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the...

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Q: Specific answer please thank you.

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Q: Sketch the parametric equations by eliminating the parameter. x = sec(t), y = tan(t) y y 4 4 2 X -4 ...

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Q: A cylindrical tank with radius 7 m is being filled with water at a rate of 3 m/min. How fast is the ...

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Q: 5. Evaluate J2xdx, a, x' +c b, x+c C. 2x+c

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Q: 7. Which of the following is a differential equation with homogeneous coefficient? (a) (y² – Væ² + y...

A: To determine which of the following is a differential equation with homogeneous coefficient.a y2-x2+...

Q: Given cost and price (demand) functions C(q) = 100q + 43,500 and p(q) = - 2q + 860, what is the marg...

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Q: a. A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 104.5...

A: This is a problem related to the arc and angle of the circle. By using relationship of the arc, angl...

Q: Use sigma notation to write the Taylor series about r = xo for the function. In x; xo = 1 %3D Σ k =

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Q: 15. Radium decomposes at a rate proportional to the amount present. If half of the origi amount disa...

A: let x be the quantity of radium at a time t .  dx/dt =kx  dx/x = kdt  Integrating,  logx = kt + logc...

Q: Find the standard equation of the parabola which satisfies the given condition. Vertex (-8, 3), dire...

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Q: 7 Replace the polar equation r= with an equivalent Cartesian equation. Then identify the graph. sin ...

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Q: The functionƒ has a domain of |0, 4| and a range of [0, 2]. Start by sketching a potential graph of ...

A: Function

Q: 10203040-10102030405060-10 You are a lifeguard and spot a drowning child 40 meters along the shore ...

A: Follow step 2 and 3.

Q: A plane flying horizontally at an altitude of 2 miles and a speed of 460 mi/h passes directly over a...

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Q: The cost of a can of Coca-Cola in 1960 was $0.10. The function that models the cost of a Coca-Cola b...

A: topic - exponential function

Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = Vt, y...

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Q: Find the indefinite integral of the equation below. (Remember to use absolute values where appropria...

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Q: b. Consider f(x) Complete the x + 7 following statements. i. As x → x, f(x) → Preview ii. As x → ∞, ...

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Q: 1 - (Integral test) n2 +1 ... .... n=1 8.

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Q: 2 cot- (ecsc) if – 3 3. - a. Determine if f is continuous or discontinuous at x= continuous, classif...

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Q: 17. Determine the equation of the family of orthogonal trajectories of the the family of curves defi...

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Q: 7. Which of the following is a differential equation with homogeneous coefficient? (a) (y² – Vx² + y...

A: A differential equation of the formdydx=f(x, y)ϕ(x, y) is called a homogeneous equation if each term...

Q: a farmer has 600 feet of fencing to create a rectangular pen for their sheep. find the areas of the ...

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Q: 8. Determine the general solution of the the differential equation: (x + y)dy = (x – y)dx | (a) x2 –...

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Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5q + 6500. ...

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Q: Suppose f(a) 3D (х — 3)(ӕ + 7). a. Solve (x – 3)(x + 7) O for x. Preview b. What are the roots of f?...

A: Explained below 

Q: 4. Solve the given differential equation by using an appropriate substitution, if necessary. by v? +...

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Q: Evaluate Jsinudu, a, cos u+c b. cos u c. -cos u + c

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Q: Determine the focus and directrix of the parabola with the given equation. Sketch the graph, indicat...

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Q: 1. Determine the order and degree of the differential equation d'y' 2 -222 dr4 + 4.r dr? 1 = 0. (a) ...

A: Given:-  

Q: Given revenue and cost functions R(q) = 70q - 0.3q and C(q) = 14q + 500, find the quantity that maxi...

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Q: Given x + 5, x 3 Find (a) lim f(x) (b) lim f(x) (c) lim f(x) (d) lim f (x) and lim f(x) X-3 X-3 X-4 ...

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Q: Write a polynomial f (x) that meets the given conditions. Answers may vary. Degree 3 polynomial with...

A: topic - polynomials

Q: 1. Suppose that ū, ī, and w are vectors in R³ such that ūxi= (2,7, 3) and ū xũ = (-5,4,0). Find: (a)...

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Q: Suppose f(x) = – 0.5 · x² + 3 graphing calculator (like Desmos function f. a. Determine the interval...

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Q: 5. Which of the following equations is not a variable separable? dy (a) y – 3 xy – 2x + 4y – 8 dy XY...

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Q: Use the formula for the binomial series: 1+ mx + 2! mm-1),2 + m(m-1).--(m-k+1) +... (1 + x)™ = ... +...

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Q: Determine whether the series converges. Σ k-I V3k – 1 O The series converges. O The series diverges.

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Q: a. What is the measure of the subtended arc in units of - of the circle's circumference? Preview b. ...

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Q: 4. Which of the following represents the differential equation of the family of parabolas having the...

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Q: Use the formula for the binomial series: m(m–1)---(m-k+1),★ + k! m(m-1) 2! m(m-1)--(m-k+1) „k if k=1...

A: expansion through maclaurin series .

Q: Find the derivative of f (x) = cot¬l 2

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Q: y = (ax-1) (6x.+5]%3 find dy dx 10

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Q: 3) The volume under z = xy and over [0, 1] X [0,1]. 2 decimal places

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Q: Let f(x) = 6/x + 1. a. What is the average rate of change of f over the interval from x = 3 to x = 4...

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Q: Given Cost and Revenue functions C(q) = q° - 8q +56q + 5000 and R(q) = - 3q +2400q, what quantity mi...

A: Please see the below picture for detailed solution. 

Q: Determine the larger volume. Assume there is a hemisphere which has a radius of 5cm was cut by a pla...

A: A sphere of radius 5. V = Volume of hemi-sphereV = ∫02π∫0π2∫05r2sinθdrdθdϕ r : radial distance from ...