Given the points A(-2, 3, 1), B(0, 0, 2), and C(-1, 5, -2) Express the vector v = (3,2,7) as a sum of a vector parallel to BC and a vector nerpendicular to BC

Q: 2. All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface…

A: topic- application of derivatives

Q: The series 1 + vn- 1 + Vna n=1 8

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Q: x² – 4 For the function f(x) =- x' +3x – 4 a) Find the equation of the vertical asymptote(s) b)…

A: Solution is here

Q: Calculate the trapezoid approximation of o xdx using four subintervals. O T5 = 21.52 O T5 - 23.25 T5…

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Q: Create a function where the domain is not a set of numbers and the range would be the set of whole…

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Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

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Q: 3. xy' =y-xe/x ANS y =-x

A: To find out the solution of the differential equation.

Q: 00 Σ 3k k-2

A: Integral Test : Suppose that f(x) is a continuous , positive and decreasing function on [k,∞) and…

Q: What are the local extreme values of the function f(x) = x³ – 3x + 2?

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Q: a. f(x) = ln 3sqrt(2x^3+5) (Use log properties to simplify first)

A: Solve the following

Q: x² Consider the function f(x) = =*. x2-1 (c) Find the intervals of concavity and the points of…

A: Given

Q: A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let…

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Q: x=t² +3t +5 Determine the arc – length of the curve: y = (2t- +2

A: solution:-given curve x=t2+3t+5y=232t+43/2+2dxdt=2t+3dydt=22t+4

Q: (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the…

A: I have stated the used formulas in the solution

Q: What are the local extreme values of the function f(x) = x' + 6x² + 2? a. None of these. O b. Local…

A: Use derivative for finding the local maxima and minima

Q: Curve Sketching Sketch the graph of the following function: f(x) = 3x3 + 2x2 - 4x + 2

A: We have to draw the graph of given function

Q: Let R be the region in the first quadrant of the xy-plane bounded by the hyperbolas xy = 1, xy = 16,…

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Q: Find the linearization L(x,y) of the function f(x,y) = e 4* cos (y) at the points (0,0) and 0, The…

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Q: The interval of convergence of the power series x2n Σ (-3)" n=1 is:

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Q: would appreciate the help. 2 questions in 1 photo.

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Q: Using the Laplace transform to solve the IVP: y" - 4y = 4, y(0) = 0, y'(0) = 0 we get 4 Y(s) = s(s?…

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Q: Evaluate the integral by any method. NOTE: Enter the exact answer. dx 3+ x4 %3D

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Q: Using concepts from this unit, Curve Sketching, of this course only, explain why a quadratic…

A: To explain the correct reason.

Q: Triangle BAC is a 30°°-60°°-90°° right triangle. В 600 300 A C If BC = 15, what is the measure of…

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Q: IV. Problem Solving: A. Write the expression as a single Integral 1. '= xp(x)fJ + *P(x)f = xp(x)f f…

A: As per policy only first three questions are answered. Please refer to the image below

Q: The interval of convergence of the series 41+2n (x+3)" is - -- 5n+1 16 16 Select one: O True O False

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Q: az əz of Z = - у2 +х at the point (x, y)= (1, 1). 1. Find дх ду

A: We have to solve one question as per guideline Please repost other question again

Q: Find the net signed area between the graph of the function f(x) = |x+ 3| – 4 and the x-axis over the…

A: Here the area can be found by dividing the entire part in small triangles and adding the respective…

Q: The average amount of time that a customer waits in line for service is given by W(x, y) = y < x…

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Q: By considering different paths of approach, show that the function below has no limit as…

A: In this question we have to find the limit.

Q: Find the equation for the line tangent to the curve 2e"y = x +y at the point (2, 0). Explain your…

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Q: 5x(x+1) =15

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Q: 1 3. Let f(r, y, z) = Show that Va? + y? + z²° frz + fyy + fz: = 0.

A: answer is in next step

Q: 6. Sketch the vector lield diagrams of the following systems of differential equations in the (r,…

A: (a) vector field

Q: 24 – 49 dy 2+ 49

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Q: d3y +6° dx2 d²y d- dx3 15 dy 15 dx 100y = 0 - - %3D

A: Given :d3ydx3+6d2ydx2-15dydx-100y=0

Q: Evaluate the double integral over the given region. |6x sin xy dA, R. 0 SxsA, 0sys1 R. O A. 6x 兀 OB.…

A: We will evaluate the double integral.

Q: A cross section of a nuclear cooling tower is a hyperbola with the equation y? - = 1 902 1302 The…

A: Solved below

Q: 4 a. Use implicit differentiation to find the derivative dy/dx of the given function. b. Find the…

A: The objective is to find the derivative and slope at the point .

Q: n3 + n? ) Σ 00 (n – 1)! n=1 2n + 3 n2 In n n=1

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Q: The radius of convergence of the power series representation of 9x f(x)= 10x+7 10 is R= Select one:…

A: Given

Q: Sólvé thé équátión ón the interval U30<2T. 0<2x. 4 sin 0 + 5 = 7

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Q: csc(cot a)+cos? a sin? x dx

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Q: Vhich of the following are possible f '(x) for a function f(x) that is decreasing for every x > 5?…

A: We are asked to find which is decreasing

Q: The power series representation of 1 f (x) = 5x + 4 is: 5 25 125 x+... 256 | - 4 16 64 125 x+... 256…

A: In this question we have to find series form of the function.

Q: S Зх-7 dx 10х2+3x+11

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: The integral (4 – y²)²dy represents the volume of a solid. Sketch the region, rectangular element,…

A: Here, the given integral is: ∫02π(4-y2)2dy which is of the form  π(outer radius)2-(inner…