Find the vectors T, N, and B at the given point. T = N = B = r(t) = (2 cos(t), 2 sin(t), 2 In(cos(t))), (2, 0, 0)

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Q: After traversing your continuous path, you finally arrive at Gate 5. Your computer reads the gate's…

A: Given f( x ) = ( x4 - 2x ) g( x ) = ( x2 + 2x - 62 ) h( x ) = 2x - 13

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A: The details solution of the given question is given below in step 2.

Q: Suppose a product's profit function is given by π(q) 3q² + 800q, where (q) is in dollars and q is…

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: Q17 Given P(q) = -2q² + 30q-25 (a) Find the profit from selling the 2nd unit. (b) Use marginal…

A: Given:- Pq=-2q2+30q-25

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Q: The Third Gate You arrive at the third gate and look for the inscription. Your computer translates…

A: For x approaching c from the left, x<c  ⇒  x-c5<0The denominator is a negative  approaching…

Q: 15

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Q: 5 The curve y = -5 x³ + x² + x + 1 "Trident of Newton". y 7 1 X 1 y= is known as the x³ + x² + x + 1…

A: To find the coordinates of the point where tangent to curve is parallel to y=2x.

Q: ts, Consider the ellipse 4x² + 2xy + 2y² = 88. (a) The derivative on this curve is dx dy dx…

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Q: Complete the parametric equations of the line through the points (1,8,3) and (4,-6, (t) = 1 + 3t…

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Q: TOPIC 4-5: L'Hôpital's Rule x²-25 x+∞5-4x-x² Q. #11 Please evaluate Lim a) Using L'Hôpital's Rule as…

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Q: x ». Let g(t) be the function whose graph is given below. Let G(x) = g(t) dt, 0 ≤ x ≤ 5. Where does…

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Q: The graph of y = f'(x) is shown. 10 9 -8- 7 6- 5 4 3 2 1 10-9-8-7-6 फं A -2 -3- -4 -5 -6 -7 -8 9 10…

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Q: h(x)=5.5x-3.42 The leading coefficient of the polynomial ​

A: We know that the leading term of polynomial is term that contain the highest power of variable.

Q: = 4y cos(2x - 5y) at the point (5,2,8) Find the tangent plane to the equation z =

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Q: Find the derivate of the functions: a) F(x) = -3x²=4 : f'(x) = b) g(v) = 3 g'(v) = 2√² +5V-9 c) f(x)…

A: We need to find out the derivatives of the given functions.

Q: 4. Consider the graph to the right, containing the points (0, 1) and (1, 5). A. What function is…

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Q: S2x√6x- 6x-x² dx =

A: To find out the integration of the given expression.

Q: 3. Find the centroid (, y) of the region bounded by y = 2 cos(3x) and y = 2 sin(3x) from z = 0 to z…

A: Centroid is given by x¯=1A∫abxf1(x)-f2(x)dx and y¯=1A∫ab12f1(x)2-f2(x)2dx where A=∫abf1(x)-f2(x)dx

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Q: A volume is described as follows: 1. the base is the region bounded by y = 9 - 1x² and y = 0 2.…

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Q: Differentiate the function. f'(x) = f(x) = 250

A: f(x) = 250 We need to find f'(x)

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Q: Let S = {1, 2, 3, 4, 5). Let f S S be the function defined by f = {(1, 1), (2, 1), (3, 3), (4, 3),…

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Q: The Second Gate As you move through the first gate, you can see another gate not far in front of…

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Q: Given ƒ"(x) = 6x – 5 - and ƒ'(−2) = −1 and ƒ(−2) = 2. Find f'(x) = and find f(2)=

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Q: Let a = - 4i +3j - 5k and b = 5i +2jk. Find - 2a - 36. V

A: a→=-4i+3j-5kb→=5i+2j-kC=-2a→-3b→

Q: The weight of a fish varies jointly as its girth and the square of its length. One fish weighed in…

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Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

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Q: Sketch the graph that possesses the characteristics listed. f is concave down at (1,5), concave up…

A: We need to find the graph which have the following characteristics f is concave down at point (1,5)…

Q: (a) Find the derivative of r(t) = (4 + t)i + tej + sin(5t) k. (b) Find the unit tangent vector at…

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Q: 17x³ (In x)² dx =

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Q: For a certain mammal, researchers have determined that the mesiodistal crown length of deciduous…

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Q: P'(W): = P(w) = 6w² - 2w + 4 VW

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Q: Suppose that f (x, y) = x³y². The directional derivative of f (x, y) in the directional (-3, 3) and…

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Q: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second…

A: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second…

Q: Determine if the series O O A n = 1 ² n2 +4 5 n2 + converges or diverges and choose the option that…

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Q: A tank contains 500 gallons of salt-free water. A brine containing 0.25 lb of salt per gallon runs…

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Q: 43 x

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Q: h(x)=5.5x-3.42

A: We have given a polynomial  hx=5.5x-3.42 Leading term =5.5x

Q: 3 Find the values of constants a, b, and c so that the graph of y = ax³ + bx² + cx has a local…

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Q: Suppose 1900 square centimeters of material is available to make a box with a square base and an…

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Q: Name the method by determining whether I'Hôpital's Rule should be used or not. CSC x lim x+0+ √x

A: Need to write down the method to determine that l hospital is applicable or not.