Find the arc length L of the graph of r(t). r(t) = 9 cos(t)i +9 sin(t)j + tk, 0≤t≤ 2π

Q: Using the fact that f(x) = ₁¹² = Σox" for |x| < 1 represent function g(x) = 5²+1 as a power series.

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Q: The cost, in dollars, to produce a vats of ice cream is C'(x) = 8x + 6. When selling them to ice…

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Q: Food and clothing are shipped to victims of a natural disaster. Each carton of box of food weighs 50…

A: Let, x be the number of food cartoons and y be the number of clothing cartoons. Then maximize…

Q: D(x) is the​ price, in dollars per​ unit, that consumers are willing to pay for x units of an​ item,…

A: ​D(x)=(x−7)2​ ​S(x)=x2+4x+13   at equilibrium​ point  D(x) = S(x)…

Q: If C is the part of the circle -8y)de ()² + ( )= = 1 in the first quadrant, find the following line…

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Q: 3x² If they exist, find the x-intercept(s) of the function g(x)= x² +9x+8 O (-1,0), (-8, 0) O (0,0)…

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Q: Suppose that f(x, y) = e/y at which {(x, y) | 0 ≤ y ≤ 2,0 ≤ x ≤y³}. D a Then the double integral of…

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Q: Question 2. V1 V₂ V3. (1,1,0). x,%2 a) Find the parametric equations of the line passing through…

A: First find the direction vector then use this to get the parametric equation of the line.

Q: Find tangent Points on is vertical X = + ²-3 + the horizontal tangint = vertical Fangent Curve where…

A: The equation  of curve x=t3-3t,y=t3-9

Q: Determine the most possible complex zeros of the following function: f(x) = -9x7 - 13x18 - 9x¹7 +2…

A: The function is fx=-9x7-13x18-9x17+2.To find : Determine the most possible complex zeros…

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

A: A graph of a function is given. We have to find the values of x where fx has a horizontal tangent…

Q: Find the​ producers' surplus at a price level of p=​$51 for the​ price-supply equation below.…

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Q: Find [VE [VE, [√³ zysin(2² + y²) dzdy

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Q: Determine the exact solutions to 2 cos²x + 3 cos x + 1 = 0 in [0, 2π). Do not use a calculator.

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Q: A+B+C = −11 −3A + 2B + 3C = -12 2A8B 4C = 38

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Q: The average cost function for a particular business that sells toys is represented by 4(x) =…

A: The average cost is, Ax=64x+530x

Q: Write the equation log_(243)729=(6)/(5) in exponential form.

A: log243729=65

Q: e common difference, and list the firs 9. {an} {2n - 5} =

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Q: - (²-6) 2/3 1. Sketch the graph of f(x) = f'(x) = with 4 x5/³(x-6)¹/3 Your work should consider the…

A: As per the guidelines we are supposed to solve only the first 3 subparts only. Please repost other…

Q: After substitution is performed, what is equivalent to ƒ²₁ æ² (æ³ +1)¹4 dæ? u¹4 [te du 3 9 [²3 3u¹4…

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Q: (x³ + y³) dx - 3xy²dy = 0

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Q: lim (√36x² + x − 6x) - X→∞

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Q: Find the degree measure of the angle with the given radian measure. 11% 12 Need Help? Read It

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Q: Find an equation for the tangent to t graph of f at the point P(2, f(2)) when 3 1. y + x + 3 2. y =…

A: → f(x)=51-3xgiven point is (2,f(2))

Q: find area enclosed by lutve a) x²=1²=2+₁ Y=FF and y-axis )

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Q: A triangle has variable sides x,y,z subject to the constraint such that the perimeter is fixed to 18…

A: Perimeter of the triangle = 18 cmA triangle has variable sides= x, y, zTotal perimeter of the field…

Q: If x1, x2 are the solutions of the equation 74x² F 1 496x+1 >

A: 74x2=1496x+1

Q: % The base of the solid is a square, one of whose sides is the interval [0,7] along the the x-axis.…

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Q: 1. Graph f(x) = 3-* over the interval [-2, 2] y. 7 -8- -7+ 6+ -5-

A: The given function is:f(x)=3-x

Q: (:((: Need nea

A: The expression is given as  7x+1-7x.Simplifying the…

Q: arrange the values of m₁ = slope at A, m3 = slope at C, m₂ = -2, m4 = slope CD, as a set of…

A: line at B y=5-2xy=mx+cm=-2 slope of line at A is greater that -2 , but as sign is negative m1&lt;m2

Q: ·/ / √₂ (²2² +2² (x² + y² + z²) dV, where E is the ball x² + y² + z² ≤ 16 Evaluate

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Q: Find the absolute f(x) = extrema of x + 4x + 2

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Q: Find the flux of ♬ through the closed cylinder of radius 3, centered on the z-axis, with 3 ≤ z ≤ 5…

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Q: Let f(x) be the function given to the right. Calculate each of the following integrals. 4+ 3+ 1- 2 3…

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Q: The given curve is rotated about the y-axis. The surface obtained is a sphere of radius r. Find its…

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Q: Ex.3 Find all absolute extrema if they exist, as well as all values of x where they occur. 9 f(x) =…

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Q: Can someone help me with this please?

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Q: Calculate teh area and of the surface obtained by the rotating of the curve of the follwoing…

A: Given: f(x)=x+3, 0≤x≤1 We are required to: Calculate the area of surface obtained by rotating the…

Q: 8. Sketch the region enclosed by y=√x, y = 4x, 0≤x≤ 25 the given Curves.

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Q: The function f(x) = 9x + 8x¹ has one local minimum and one local maximum.

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Q: 13. Find the area of the region bounded by the Parabola y = 3x², the tangent line to the parabola at…

A: The equation of parabola is:y=3x2

Q: For a standard-position angle determined by the point (x,y), what are the values of the…

A: Graph for point (x,y) with standard position

Q: An open topped box is to be made by cutting out identical squares from the corners of a rectangular…

A: Given: Dimensions of cardboard: 70 cm by 50 cm From each side a square of length x has been removed.…

Q: Use the following information to answer the question. ƒ(3) g(3) = 4 = 4 f'(3) g'(3) = 3 Given h(x) =…

A: Given

Q: A company can charge a price of 83 dollars per unit when they sell 430 units. If the price increases…

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Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = tan(6x +2y+z) . F(x, y, z) =

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Q: Given that f(x) = x³h(x) h( − 1) = 3 h'( − 1) = 6 Calculate ƒ'( − 1). Hint: Use the product rule and…

A: given  f(x)=x5h(x)the product rule of derivatie is→ ⇒ d dx(a.b)=a×d dx(b)+b×d da(a)

Q: 1. (a) Estimate the area under the graph of f(x) rectangles and left endpoints. Sketch the graph and…

A: We need to estimate area under the curve using - a. Left end points. b. Right end points.   Given -…

Q: JI F(x, y, z) = zei + x cos(y)j + xz sin(y) k, S is the hemisphere x² + y² + z² = 4, y ≥ 0, oriented…

A: Solving the following problem