10. Given two vectors u = [6,2] and v=[-2,1], determine the projection of u on v.

Q: Which if the following is a power series representation of the function f(x) a. Σ(-x - xn+¹) n=0 Ob.…

A: We have to find the power series representation for given function.

Q: 2x e²x cos(y)dx + e* sin(y)dy = 0

A: This question is related to differential equations, we will solve it using given information.

Q: 2. f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives…

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Q: d the equation of the tangent line to the curve y = 5x cos x at the point (7, e equation of this…

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Q: 3. xy = a², y = 0, x = a, x = 2a.

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Q: x2-x1/3=0 x1/3(x5/3-1)=0 How do I get to the final simplification from the first equation?

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Q: The Ratio Test can be used to determine whether O True O False converges.

A: Given ∑1n3

Q: 9. Find the area bounded by a parabola and any right chord. (Use the parabola y² ax, chord x = x1.)

A: solution is given below..

Q: A fast-food restaurant has a cost of production C(x) = 14x + 108 and a revenue function R(x) = 82.…

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Q: Part B The growth of a similar population was investigated after spraying a kitchen bench with Glen…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: y = -x³ + 9x² - 3 concave upward concave downward Submit Answer x0

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Q: You have an investment of $22,400.00 that you want to double in 11 years. If interest is compounded…

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Q: c) lim f(x), limf(x) y limf(x). -3 -2 -1 4 3 2 0 y = f(x) 2. 3

A: Check for the corresponding values where the graph is continuous and check for both sided graph…

Q: You are driving on a toll highway from King Road to Queen Road (a 50 km drive) in 25 minutes . Two…

A: Suppose, s(t) is the position function after t hours of time in km. Now, s(t) will be continuous and…

Q: A piece of cardboard measuring 13 inches by 12 inches is formed into an open-top box by cutting…

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Q: 2. Captain Crunch wants his airplane to travel along a path that is [N60°W] with a groundspeed of…

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Q: 2.4 Write functions of the following graphs. 2.4.1 2.4.2 + -3 -2 -3 N 0 -1+ 34 2+ 0 - 2

A: Above question is solved

Q: y(x tan x + In y) dx + tan x dy = 0.

A:

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

A: Please refer to the image below

Q: 3. a) Examine if the following limit exists, x + y + 1 lim (x,y) (0,0) In(x2 + y²)* If the limit…

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Q: - -5 -4 -3 -2 1 - 1 y 5 3- N 1- 1 -2H -3- 1 2 3 4 5 X

A:

Q: Break up 9 m/s 4.5 m/s [S], 7.8 m/s [W] 4.5 m/s [S], 4.5 m/s [W] 3 m/s [S], 6 m/s [W] O4.5 m/s [W],…

A: Please see the below picture for detailed solution.

Q: The graph of f(x) is shown (see figure). -7 (a) Find the following limits. L = lim f(x) = 2 Klim…

A: Concept: Limit of the function: Assume the function f(x). x should have values that are close to the…

Q: -(x-a)² - 1, 7. g(x) = tan x (x + b)² + 1, x>7 What must a and b be for the given function to be…

A: Given :

Q: 4. y = x cos(In x) x²y" - xy + 2y = 0

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Q: Sketch the region enclosed by y 7x and y = 6x². Find the area of the region.

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Q: y=x5, mn=-1/80

A: Given problem:- Find the equation of the line normal to a given curve y=x5 and having a given slope…

Q: = 4) Use the recursion formula Stan" xdx to calculate Stan³xdx tan" X n-1 n-1 -ftan”-2 xdx

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Q: = Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Find the arc length of the curve on the interval. r(t) = (3 sin(t), 7t, 3 cos(t)), 0 ≤ t ≤ The…

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Q: The function f(x) has a domain of [-9, 9] and is plotted below such that the porti of the graph on…

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Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

A:

Q: lim 2-0 |3x-1| + 3x + 1| I

A: Given problem :- limx→03x-1+3x+1x

Q: 4. Solve the following equation by completing the square. Be sure to show all steps. (round answers…

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Q: Sketch the region enclosed by y = ¹, y = e, and x = 1. Find the area of the region.

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Q: Find the length of the curve r(t) = Interactive 3D Graph (√2t, et, e-t) over the interval 0 ≤ t ≤ 1.…

A: The given curve rt=2t, et, e-t over the interval 0≤t≤1 To find the length of the curve on the given…

Q: Consider y = √x+1. (a) Find its inverse relation. Is this relation a function? Why? If the inverse…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Two cars are moving towards an intersection. One car is 170 meters north of the intersection and…

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Q: Consider the rational function f(x) = x²-x-6 x²+3x (i) Factorise the numerator and denominator. (ii)…

A: As per guidelines, we must answer only three of the subparts of a question given. So, I answer the…

Q: e) 3 (12x²-108) 2 x + x - 12

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where…

A: Given that: Cx=0.01x2−3x+229Rx=429−2x To find the area between the graph.

Q: R If is in standard position and ≤0≤ and sin 2 O 5 O_3 3 3 9 then the value of tan is:

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Q: Evaluate the limit of the given functions. 3x² - 17x+ 20 25x + 36 1. 2. lim x+44x² t³-1 1 lim t-1…

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Q: -10 -5 f(x) 10 10 5 10

A: Note: Since the student has posted 2 sub-parts of the question in which the part (1) is complete and…

Q: Find the area under the curve y 7 x over the interval [1, 5]

A: Given curve y=7x

Q: 13. A radioactive isotope has half-life of 43 days. What percent of the original amount remains…

A: Topic:- application of algebra

Q: What is the max area of a rectangle placed between the x-axis and the function f(x)= -x^4 + 3

A: Answer : Maximum area should be 4.225 unit2 .

Q: 2. If f: R→→ R satisfies f(1) = 3 and f'(x) ≥2 for all x's, how small can f(7) be?

A: Here we have to find the smallest value of f(7).

Q: 3. 2 csc 2x = sec x csc x

A: