QUESTION 4 A horse runs with velocity 15 km/h for 0.05 hours (hrs), 20 km/h for the next 0.1 hours, and 12 km/h for another 0.083 hours. Compute the total distance traveled. (Round your answer to two decimal places.) 3.46 km 2.75 km 3.98 km 3.75 km

Q: The graph of the DERIVATIVE of f(x) is below: 6 -6 -5 -4 -3 -2 -1 54 4 3 2 1 7 -2 -34 14 -5 -6 -7-…

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Q: Differential equation: t=0 d²7 dt² Initial conditions: 7(0) = 9ỉ + 9j +9k and dr dt = 6i + 6j + 6k…

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Q: s) The monthly income from car sales, "M" (in thousands of dollars) at a local dealership is related…

A: The answer is in step 2.

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Q: 9 23-325 26 Find an antiderivative of Antiderivative= Remember to include a "+C" if appropriate.…

A: Let's find antiderivative of given function.

Q: Use the Continuous Compound Interest I information above to answer this question. If $10,000 is…

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Q: [3. 3 dx dy 1+x4

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Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. Rn 1 x+2…

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Q: QUESTION 10 For g(x)= x +3 state all intervals for which g is increasing/decreasing

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Q: Calculate the definite integral by referring to the figure with the indicated areas. Area A = 1.21…

A: Please see the below answer.

Q: Question Use Fubini's theorem to compute the double integral ff f(x, y)dA where f(x, y) = 4y and R =…

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Q: 1/00 (e) 6.³ cos x sin(sin x) dx (f) [²(cos sin ) dr. COS dx 3

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Q: L²³12x 20. Evaluate (a) -21 (d) 21 (g) The integral is divergent |2x - 4 dx (b)-5 (e) 5 (c) -3 (f) 3…

A: x=x,  x≥0-x,   x<0I=∫032x-4dx2x-4=0x=2∫xndx=xn+1n+1+c

Q: If what does the following integral equal? 0 -5 y(v)dv = 7 y(v)dv = 25 and y(v)dv = 7.1 -5 7 [²D(0)…

A: Please see the below picture for detailed solution.

Q: Question 5.3: Calculate 2x sin ²0 5+4 cos 0 dᎾ .

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Q: QUESTION 1 A box with a square base and open top must have volume 32000cm³ Find and state the…

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Q: 2. If the series an is convergent and an > 0 for all n, then we also know that n=1 (a) Must be…

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Q: 4x² √3-16x³ S- dx

A: Given query is to find the integral.

Q: The initial population of a bacteria colony is observed to be 500 bacteria. The population shows a…

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Q: Average Cost Graph The total daily cost (in dollars) of producing a mountain bikes is given by C(x)…

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Q: A box with a square base and an open top is being constructed out of A cm^2 of material. If the…

A: Let  length of square base =x cm Let height of box=y cm

Q: 4. Find the limits. a. lim (x²−1) ln(1-x² )

A: Find the limit using L hospital rule

Q: Rearrange the objective function G = 3x₁ + x₂ + 2x3 so that it can be maximized inside a simplex…

A: Please see the solution .

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Q: Find the volume of the solid under the surface z = x² + y² + 1 and above the region R bounded by y =…

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Q: The number of virus cells increases by 37% each day. What is the common​ ratio?

A: Please see the below answer.

Q: Find the mass of a lamina bounded by y = 3√√x, x = 4, and y = 0 with the density function o(x, y) =…

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Q: b. lim 2 sin(x-3) x²-3x

A: The given limit limx→32sinx-3x2-3x. We have to find the limit.

Q: Consider the following function. f(t) = e 0-1²

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Q: Identify a particular solution to y" - 2 y' + y = e ^2t that goes through the point ( 0, 2) .

A: We need to identify the solution of y''-2y'+y=e2t, that goes through point (0,2) or y0=2

Q: plify the following expression using laws of set theory (AUB)U(AUB)

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Q: ΔΔΔΔΔ . α) use substitution and the evaluation theorem to calculate the followin integral δε 1 xl…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The limit lim h→0 a. f(x) b. a = cos(0.5T + h) h help (formulas) help (numbers) is the derivative of…

A: Given expression, limh→0cos0.5·π+hh It is the derivative of some function f(x) at x=a.

Q: 10) Test the series for convergence or divergence 7(-e) Use Divergence test identify the…

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Q: Use the Continuous Compound Interest II information above to answer this question. Find the…

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Q: How to find by hand the range of a rational function f(x) = (2x-3/(x-2)?

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Q: Find the instantaneous rate of change in the amount in the account at the time the amount is equal…

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Q: You have answered 1 out of 2 parts correctly. Consider the function shown below. What type A.…

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Q: You approach a hill on top of which there is a tall radio antenna. You know from your map that your…

A: Let's find height of hill and height of antenna.

Q: 3. Tim ( x ²-1 x2-3x+2/

A: use L'hospital rule limx→1(x2-1x2-3x+2)=limx→1∂ ∂x(x2-1)∂ ∂x(x2-3x+2)∂xn∂x=nxn-1

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Q: A. 13 J 0 1 +2x)² dx

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Q: The number of bicycle. helmets a retail chain is willing to sell per week at a price of $p is given…

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Q: Which of the following equations represents a parabola with vertex (5,2) and directrix y = - 2? (А)…

A: Let's find equation of parabola.

Q: If the graph of y = mx3 + nx2 will have a point of inflection at (1, 2), what is the product of m…

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Q: Let y = -12 cos [3(x + 4)].

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Q: f(x) = 6log(13x + 8) - 2

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