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Q: Calculus Question

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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: If q(x) = 7sin(x+4), determine the antiderivative

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Q: 24

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Q: Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola. (If an answer...

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Q: 37. 2(cos x)-/2 sin x dx

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Q: A tank has the shape of an inverted circular cone with height 12 meters and base radius of 4 meters....

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Q: Find the area of the surface generated by revolving the curve y=x^3/18, 0(<=)x(<=) 2 square ro...

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Q: Find the standard form of the equation of the ellipse with the given characteristics.

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Q: evaluate the integrals

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Q: 9

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Q: Solve the equation for solutions over the interval [0degrees°, 360degrees°). tangent squared ...

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Q: Differentiate the function: f(x) = x44x

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Q: Determine the summation formula(s) which would be used to represent the following series. Then deter...

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Q: Please help me

A: We see that at x=1 there is a jump discontinuity. The graph is continuous on the left side of x=1 a...

Q: Suppose that lim 2f(x) + 3x – 15 = 5. Find lim f(x)

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Q: Simplify S. dx V2x-3

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Q: Solve the equation. 2sin2θ+sinθ−1=0 What is the solution in the interval 0≤θ<2π?

A: Given

Q: Determine whether the following series converges or diverges using the Comparison Test. Explain your...

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Q: lim xcot(x) x→0

A: Write cot using cos and sin

Q: S dx x²+x dx x+x ln x

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Q: Find f. f ''(t) = 12/sqrt(t) , f(4) = 38, f '(4) = 18 Recall that 1...

A: Given Integrating both sides, we get But f'(4)=18

Q: Consumers' Surplus It is known that the quantity demanded of a certain make of portable hair dryer i...

A: When P=$14/unit Then Square on both side

Q: A particle is moving with the given data. Find the position of the particle. v(t) = 1.5(sqrt(t)), ...

A: Given,

Q: VE In t dt

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Q: Problem 1. Between speeds of 26 miles/hour and 68 miles/hour, the gas mileage of a car is a linear f...

A: Hi there!. You have posted a question with multiple sub-parts in a single request. As per our honor ...

Q: Evaluate the following limit

A: 6+ means on the right side of 6. From the graph, we see that on the right side of 6, the y value i...

Q: differentiate h(y)= tan(10y)/e^(4y)+1

A: Given funtion

Q: Find the area of the region bounded by the curves f(x) =x^3 and g(x) = 5x^2−6x? Please include detai...

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Q: Use the Integral Test to determine whether the following infinite series converges or diverges, and ...

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Q: write a differential equation that fits the physical description. Q. The rate of change of the mass ...

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Q: Find r(t) when r'(t)=(te^-t^2)i-(e^-t)j+k and r(0)=1/2i-j+k.

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Q: Find the open intervals on which the function is increasing y = x/100 – x²

A: A function is said to be increasing in an interval its derivative is positive in that interval.

Q: Find two nonnegative numbers such that the sum of first number and 4 times the second number is 1600...

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Q: A 5 ft long ladder rests against a vertical wall. If the bottom of the ladder slides away from the w...

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Q: How can I use calculus to help me with this question?

A: Given:

Q: A model for the surface area of a human body is given by the function S- (w, h) = 0.1091WD 425,0.725...

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Q: (a) Use slope-Intercept form to write an equation of the line that passes through the glven point an...

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Q: a)Estimate the area under the graph of f(x) = cos(x) from x = 0 to x = π/2 using four approximating ...

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Q: Given the series, use the Alternating Series Test to show that the series converges. Then, given th...

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Q: A child flies a kite at 90ft. The wind is carrying the kite horizontally away from the child at a ra...

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Q: (Click on the graph for a larger version.) F' f and F(0) = 0, find F(b) for b =1, 2, 3, 4, 5, 6, and...

A: Here the given function f(x) is continuous over an interval [a, b] and the function F(x) is defined ...

Q: Let | f(2) dr = -4, f(x) dæ = 9, g(x) dx = 14, g(x) dx = -9, Use these values to evaluate the given ...

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x3+...

A: Given integral is We will use the following substitution to evaluate the integral.

Q: 7)Determine the points at which the graph of the function has a horizontal tangent line. flx) x2 х-1

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Q: find dy/dx in terms of x and y if arctane(x^3 y)=xy^3

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Q: An island is 6miles from the nearest point on a straight shoreline, that point is 15 miles from a p...

A: Refer the diagram below. Let BC = x miles.