Find the component form and magnitude of the vector v with the given initial and terminal points. Then find a unit vector in the direction of v Intial point: (-2, 3,-3) Terminal point (1, 7, 0)

Q: Given the following differential equation y" - x?y = 0 After plugging in the appropriate power…

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Q: 1. Given z, = 5 cos 377 +i sin 37 and z2= 37 +i sin 2 find z,z2 where 0se< 2x. cos 2 2 37 +i sin 2…

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Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given…

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Q: Use the Product Rule to find the derivative of the function. g(x) = (x2 - 2x + 5)(x³ - 6) g'(x) =

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Q: 4x? ds where Cis the portion of the curve y y° 1 =- from Evaluate the line integral (1,1) to (2,4).

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. sin (70) de…

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Q: Use the First Derivative Test to find the location of all local extrema for the function given…

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Q: ) t) P(t) = Poe(In(2) · where t is the number of subdivision periods (time), and P(t) is the size at…

A: Suppose a value was A and is now B, we work out the percentage increase (or decrease) as follows:…

Q: 4- x2 Evaluate lim x+2 3- (x2+5)Z 5 3 O NONE OF THESE O 4

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Q: The graph of a piecewise-linear function . for-15xS 4. is shown above. What is the value of (A) (B)…

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Q: 3. Water is flowing into a vertical cylindrical tank at the rate of 24 cubic ft. /min. if the radius…

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Q: 6. (9x-6x'+7x²-Sx+15 dx 3x

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Q: A box with a square base and open top must have a volume of 442368 cm³. We wish to find the…

A: Solution: Let x be the side of the square while y be the height of the open box, then as per the…

Q: Solve the given differential equation by separation of variables. dy - ху + 4y — х - 4 xp ху — 5у +…

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Q: Many statistics courses cover a topic called multiple regression. This provides a means to predict…

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Q: 1) Column vectors vy and vz are given as n-) - --() 4 1 v1 =-1 and v2 = a) Find whether or not…

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Q: 5. S(-3 Vx- 6x Vx) dx

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Q: An airplane flies at an altitude of y = 2 miles toward a point directly over an observer (see…

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Q: Given the function f(x) = 2x + 3 f(r + h) – f(x) Find the difference quotient f(x + h) – f(x) Find…

A: f(x)=2x+3f(x+h)-f(x)h=2(x+h)+3-(2x+3)h                     =2x+2h+3-2x-3h                      =2hh…

Q: 15 dx +C + x2

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Q: 15. Apply the Mean Value Theorem to f(x) = Vx – 2x using the interval [0.4]

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Q: Find the point that is 2/5 of the distance from C to D.

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Q: 2. If f(x)=sqrt(x), which of the following is the simplified form of the difference quotient? *

A: Function f(x)=x

Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = x²+Vy The domain of…

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Q: valuate lim v9x² – 5x + 3x

A: Given: limx→ -∞ 9x2-5x+3x

Q: Given the power series Σ 2 n A, x" n = 1 Use the technique that we covered in this lesson to force…

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Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

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Q: a) Compute the area of the shaded region by "counting" the squares on the grid in the given region.…

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: 13. Find the inverse of A= 1 1 Use any method. Show your solution. 0 2 3 55 1J

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Q: Choose which of the following is the EXACT value for the area bounded by y = e" and y = -e' on the…

A: The region is bounded by y=ex and y=-e-x on the interval 1≤x≤2

Q: The diagram at the right represents the height of a blimp flying over a football stadium. Find the…

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: ピ+5 1 lim t一+0|5t2 +6'2t (?, ?)

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Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = Vx+vy The domain of…

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Q: Given f(x) = 9x2 4x + 11, find f'(x) using the limit definition of the derivative.

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: Evaluate the line integral dx+ xdy where C is the portion of the graph of y = Inx from (1,0) to…

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Q: CURRENT OBJECTIVE Apply L'Hospital's rule to find the limit of an indeterminate form produced by a…

A: The objective is to evaluate the limit.

Q: 5æ")". 10 Differentiate f(x) = 5(3x" You do not need to expand your answer.

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Q: 4) With respect to the origin 0, the points A and B have position vectors given by OA = i+ 2j + 2k…

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Q: B = 1 -2 -4 2 5. 14. If A = 3 and 1 -2 4 3 5 1 2 4 Find AB and BA. Show your solution.

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Q: Evaluate the integral. 9 17 1+ x2 dx V1- x2 +C

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Q: Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0 <t < T L = ||

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Q: a + 5x + 4x2 if x < 3 f(x) = 2 + 5x + 3 if x 2 3 14x²

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Q: 5. St V1-t dt

A: We solve this integration by substitution method by putting                         1 - t3 = u…

Q: P(x,y) = 696 – 10(x - - 15(y – 1)2 where P(x,y) is the price of land at the point (x,y) in dollars…

A: I have used the rule and find the solution . Point (1/2, 1) at which price is highest.

Q: The radius of the circle 2x? + 2y? – 4 = 0 is equal to 2 units. O TRUE O FALSE

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Q: The velocity graph of a car accelerating from rest to a speed of 105 km/h over a period of 30…

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Q: the sides with length x, there is a gap of 0.5x that has no fence. The goal is to find the…

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