(a) f(x) = 2x³ - 3x²-12x+1 on [-2,3]

Q: Consider the function f(x) = x² − 72x² + 5, −5 ≤ x ≤ 13. This function has an absolute minimum value…

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Q: 2. Use Root Test to determine whether the series ally converges, or diverges. +∞ n=1 (-1)" (sin())"…

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Q: 6. A curve passes through the point (4, 2), as shown in the figure. If from any point P on the…

A: Let's find equation of curve.

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Q: Let y = 2x². Find the change in y, Ay when x = 5 and Ax = 0.3 Find the differential dy when x = 5…

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Q: = 2. Find a linear approximation of the function f(x) e at x = 0. Use this to approximate the value…

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Q: Find the equation of the line L that passes throught point P(6, – 6, 3) and Q( − 4, 3, — 2). r(t) =…

A: To find the equation of the line L that passes through points P6, -6,  3 and Q-4, 3, -2.

Q: Find the domain of the vector-valued functions: A. R(t) = √t² – 9 î + ln|t − 3] ƒ + (t² + 2t − 8) k…

A: The set of all values of t say D for which f(t) a function is defined, i.e not infinity for any…

Q: 1) Cindy has 185 feet of fencing to build a rectangular dog run. She plans to build it against an…

A: we need to find out the length, width and maximum floor area.

Q: Find Angle between two vectors b = (4, 5, 2). Let à (5, 1, — 4) and = Find the angle between the…

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Q: Given the position function s(t) = 2+³ - 2 +² - 60++ 3₂ where it is in seconds and s is in ft, Find…

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Q: Scientists can determine the age of ancient objects by the method of radiocarbon dating. The…

A: given half life thalf life = 5730 years      law of decay x = x0e-ktk = constant x = radioactivity…

Q: Find Position, Velocity and Acceleration Vectors Find the position vector for a particle with…

A: Concept: The formulas used v(t)=∫a(t)dtr(t)=∫v(t) Also the integration of xn is ∫xn=xn+1n+1+C Where…

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Q: A constant force F = -3₁ +2j-1k & is applied to a object that is moving along a straight line from…

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

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Q: For the problem below, is a central angle in a circle of radius r. Find the length of arc s cut off…

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Q: State the slope of the line that is parallel and line that is perpendicular A) y=-1/4(x-2)-1 B) x=5…

A: To state the slope of the line that is parallel and the line that is perpendicularto each of the…

Q: . Show two different ways of solving answers. sin x cos x dx. Explain the difference in appearance…

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Q: a. The graph in the accompanying figure is made of line segments joined end to end. At which points…

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Q: Sketch the plane curve. r(t)=3ti-tj, [0, 3] y 2 Find its length over the given interval. 6 6 8 8 10…

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Q: Find the derivative of f(x) = f(x)= z10e3.57.

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Q: Can I have the value of constant of integration, rounded off to the nearest integer?

A: We need to round off the value.

Q: 41. Sales saturation. The Gottahavit device is introduced in a market with 150,000,000 potential…

A: It is given that the unit sales are modelled by the following function:…

Q: 4. Convert the following integrals to polar coordinates. Then evaluate them. 1-x² A. 0 LIVE -1…

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

Q: 1+r 24. lim xxx² + 1 8118

A: Solution is given below:

Q: Find by implicit differentiation. dy dx dy dx = xey = x - y

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Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

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Q: A company buys a machine for $475,000 that depreciates at a rate of 30% per year. Find a formula for…

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Q: Find an equation of the tangent line to the curve at the point (1, 1). y In(xex*) y =

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Q: Draw a graph to match the description given. G(x) is decreasing over (-∞, - 8) and (5,00) and…

A: To determine the graph of the function with given characteristics.

Q: The point P(4, 26) lies on the curve y = x² + x + 6. If Q is the point (x, x² + x + 6), find the…

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Q: (4) Solve the initial value problem: y" - 6y + 25y = 0; y(0) = 3, y'(0) = 1.

A: I am attaching image so that you understand each and every step.

Q: Find Cross Product Find the cross product u x 7 where u = 6i +8j +8k and 7 = 6i +8j +8k and 7 = (4,…

A: Topic = Vector

Q: Evaluate: fcos In(sin 0 + 4) de O sin In (sin 0 + 4) - 2 cos 0 + 3 ln sin 0 + 4] + C O None of these…

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Q: Evaluate the definite integral. (This one is challenging) [ ² da z²ln(x + 1) dx = ( ½ ln (2) — -— -…

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Q: 2= (x³ + cosy + ! )dy = -syx² / dx X X2

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Q: Find the GS for y" - y = exe-x

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Q: 34. f(x) = x² + 250 X (0, 0)

A: 34) f(x) = x2 + 250xfor find extrema   f'(x) = 0 &for minima f''(x) >0 for minima f''(x)…

Q: 5-6 The graph of the derivative f' of a function f is shown (a) On what intervals is f increasing?…

A: Topic- Application of derivatives We are given graph of f'(x) and we know that f(x) is increasing…

Q: り wh

A: Given s(t) = 2t3 - 92t2 - 40t + 3 let velocity function = v(t)

Q: Can I write the final answer without using grouping symbols for the product or multiplication…

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Q: Find the linear speed of a point moving with uniform circular motion, if the point covers a…

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Q: 5. Find the arc length of each curve (integrate by hand) b) y = x/2 on [0,60] a) x = -8y-3 on [-2,6]…

A: Given data, a) x=-8y-3 on -2,6 b) y=13x32

Q: 5.) Solve the following using the Union Rule, and then sketch a Venn diagram: (a) If n(A) = 5, n(B)…

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Q: Let f(x) be given by f(x) = x + sin x which is defined on [0,27]. a. Find all exact values of x for…

A: We have to find the equation of tangent at given point.

Q: 12. Find the area of the surface generated by rotating the curve y = √√x the y-axis. Do not…

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Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German…

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Q: Find Vectors and Perform Vector Operations in R³ Find a vector with initial point ( – 2, 5, 0) and…

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