Let the vector v have an initial point at (-5, 2) and a terminal point at (-1,] the vector v and afterwards follow the guided steps to analyze the vector. That's right! Now answer the three questions below. y 10 9 00 N 8 6

Q: Solve the initial value problem. 12 dx dt + 2tx=t³ Int+ 1, The solution is x(t) = x(1) = 0

A: The differential equation is given by t2dxdt+2tx = t3lnt+1 Initial Condition is x1 = 0 To determine:…

Q: Form a polynomial whose real zeros and degree are given. Zeros: -2,0, 8; degree: 3 Type a polynomial…

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Q: Given vector v = (2, 4), find 3v. Answer: Submit Answer

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Q: Intel co-founder Gordon Moore noticed that the number of transistors on integrated circuits had…

A: To find out the number of transistors that should be possible in 2019.

Q: Find sin(0); if sec (0) = 2, with 0 in quadrant IV. Give a reduced answer in exact form. sin (0) =

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Q: 13 5dx (3ex + 1)(√e²x + 6e² +5)

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Q: 2 Solve the inequality f(x) <0, where f(x) = x²(x-4), by using the graph of the function. Q -~ EN…

A: To solve the following problem

Q: 5) y=log, (x-3) 6150

A: y=log14x-3

Q: Classify each singular point (real or complex) of the given equation as regular or irregular. 2x²y"…

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Q: What is the determinant of this matrix? -5-27 9 3

A: By the definition abcd=ad-bc

Q: Write the vector as a linear combination.   PQ where P=(3,6) Q=(1,-3)

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Q: [22-R] [CLO 9] Give an equation for the circle with radius 5 units, centered at the point (−3, 8).

A: given radius of circle is 5 units and centered at the point (-3,8)

Q: Evaluate the limit. lim x→-4 x+5 x²+16x+64

A: given limit limx→-4x+5x2+16x+64

Q: Find any local extrema (maximums and minimums) of f(x) = = -x + 2 Identify the x value at which each…

A: The function is given by fx = -x+2x2 To determine: The local extrema of the function.

Q: Give an example of a point which is the third quadrant of the Cartesian plane.

A: Quadrant Sign of x coordinate Sign of y coordinate I  + + II - + III - - IV + -

Q: Subject: calculus  In triangle ABC angle A is 31.1 degrees. Side b=347.6 ft and side a=295.4 ft.…

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Q: 3) |x| = 7, y = 8, and|x - y = 10, determine | x + y. Hint: sketch out these 4 vectors on the same…

A: We know that the vector parallelogram rules  ||A+B||^2+||A-B||^2=2||A||^2+2||B||^2

Q: if x -1 x+3 Let f(x) = -2 Sketch the graph of y = f(x).

A: Here we have given a function: f(x)=x+3               if x&lt;-1-2                 if x=-1(x+1)2+2…

Q: Determine whether the given vector functions are linearly dependent or linearly independent on the…

A: The given vector function 3t8, 32. We have to check the vector functions are linearly independent or…

Q: Solve the given initial value problem. y'' -6y' +9y=0; The solution is y(t) = 47 y(0)=3, y'(0) = 5

A: The given initial value problem is:y''-6y'+9y=0;      y(0)=3,       y'(0)=475

Q: Graph  f(x) = ax  for  a =  1 3,   a = 1,  and  a = 3,  all on the same set of axes.

A: Given: f(x)=ax We are required to: Draw the graph of the given function for a=13,a=1 and a=3.

Q: 3) Use the information below about the functions) COS X Let h(x) = (a) Find h'(x) = (b) Find h' (0)…

A: Given Table xf( x )f'( x )-23-5-1-940591322-58

Q: Could you please resolve this and make it handwritten for me to better understand. im not sure if…

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Q: 7) Answer the following: a. Find dy/dx where y = tan³ (5x) b. Find dy/dx where y = ln (5x+7)…

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Q: ind a vector a with representation given by the directed line segment AB.

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Q: 1. a) Determine the derivative of the function f(x) = 2x² using first principles. b) Use the…

A: To find the derivative using first principle.

Q: Find the zeros, if any, of the quadratic function using the quadratic formula. What are the…

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Q: Find the mass of the solid and the center of mass if the solid region in the first octant is bounded…

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Q: [18-R] [CLO 15] Suppose that f is a function. Give a formula for a function g, which is identical to…

A: Suppose that f is a function and a funtion g, which is identical to f , but translated 3 units to…

Q: Determine O a. O b. dy d. (4r+3) (4r² +6r+3) r(r+1)(r+2) (4r+3) (4r²+6r+3) r(r+1)(r+2) r(r+1)(r+2)…

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Q: Write an integral that represents the area of the shaded region of the figure. Do not evaluate the…

A: Consider the graph

Q: Find all of the square roots of -9i and write the answers in rectangular (standard) form.

A: The number is -9i.

Q: Find the volume of 4x+5

A: Side length or edge= 4x+5

Q: a) For which p-values is the following series convergent? 1 Σ; n(2p+5) n=1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. The average hourly wage paid to U.S. workers for selected years from 1970 to 1983 is shown in the…

A: The average hourly wage paid to U.S. workers for selected years  from 1970 to 1983 is shown in the…

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: 2x²x+5 (x − 3)(x² +1) J dr

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Q: Let f(x) = J(-4-x)² +4 if x = -5 4x + 24 if x = -5 Calculate the following limits. Enter "DNE" if…

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Q: 5. Determine, with justification, if [1,3,2], [4,0,1] and [-2,6,3] are coplanar. [3 A]

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Q: Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. 1 1 4[44] A = -2 -1…

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Q: [²90 the blanks. If there is not enough information, simply write NEI. (8) Let [ f(x) dx = 4, [ f(x)…

A: ∫-23 f(x) dx=4       and       ∫-26 f(x) dx=9∫-23 g(x) dx=2      and       ∫36 g(x) dx=3

Q: 7. f(x)=√x, √√x, a = 1

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Q: For the function f(x) = ax³ + bx²2, find a and b so that the point (1,6) is an inflection point of…

A: The function is given as , fx=ax3+bx2 find a and b so that point 1,6 is an inflection point of f.

Q: (6) (a) Use three conditions of continuity to show that f(x)=√ is continuous over (7, ∞0). (b) What…

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Q: If sin (0) (a) cos(0) = (b) tan (0) = 4 , and is in quadrant III, then find the exact values of the…

A: given sin(θ)=-47 given θ is in quadrant III

Q: 6. Given that lim x-3 x²+kx-24 x-3 exists, determine the value of k, and then evaluate the limit.

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: Given A1 =7, A2 = 4, A3 = 2 &amp; A4 = 1

Q: f(x)=x², a = 1

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Q: K Solve the initial value problem below using the method of Laplace transforms. 3t y' + 6y' + 5y =…

A: y"+6y'+5y=160e3t, y(0)=-5,y'(0)=49

Q: Find the derivative of the function. f'(x) = f(x) = (x³ - 4x)(2x² + 3x)

A: