Define the points Q(3,2) and R(8,- 10). Carry out the following calculation. Find the unit vector with the same direction as QR.

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A: Given ∫4(x+a)(x+b)dxTo evaluate the integral:

Q: A particle moves along a line with a velocity v(t) = 2 - 2t², measured in meters per second. Find…

A: A particle moves along a line with a  velocity vt=2-2t2, measured in meters per second. To find the…

Q: EXAMPLE 4 If an object moves in a straight line with position function s= f(t), then the average…

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Q: Examine the graph of (a) below, and find the values given below. If the limit does not exist write…

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Q: What is the equation of the tangent line at x=-2 of f(x)=√√x -1

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Q: 12. Consider the differential equation: 2a + (b₂+ a(a +1) df dz Z d² f dz² + a(a + 1) √(z) = 0₁ Z a,…

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Q: Given the points A(1,2,3,) and B(2,-2,1) Resultant, vector C, of vectors A and B (A+B) Vector AB

A: resultant vector C = A+B  = (1+2,2-2,3+1)  = (3,0,4)

Q: r(t) = (-2 cos (2t), 3 sin (3t), ln (2t)), then the fr(t)dt is equal to 3 -cos (3t), tln (2t) - t) +…

A: Here we find the correct option,

Q: 11. Find the linear approximation of f(x) = √√x_ at a = 1. Use the linearization to estimate the…

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Q: 10. Find the limit (if it exists) of the sequence (x_n) where x_n= cos(n)/n.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 7. Find the limit (if it exists) of the sequence (x_n) where x_n = sqrt(3n+2)-sqrt(n).

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Q: aunauna Question 2 of 10 al a) Given the following piecewise function, evaluate each limit below:…

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Q: Which polar coordinate pair labels the same point as the one shown below? Select all that apply. A.…

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Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

A: Given :Function : y=x7andy=x

Q: Let u =(3,-4) and v= (-1,-4). Express u+v in the form (a,b). u+v= (Simplify your answers.)

A: The objective of the question is evaluate the sum of given vectors .

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 8 Σ n=1 n!…

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: A particle moves along a line with a velocity v(t) = 1² + 2t - 8, measured in meters per second.…

A: Given thatvelocity vt=t2+2t-8To find : The total distance the partical travels from t=0 to t=3…

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Q: Evaluate the integral. (Assume a b. Remember to use absolute values where appropriate. Use for the…

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Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F = x²i+…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) z√z…

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Q: 8. The value of f sinh* x cosh³ x dx

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Q: Evalua COS [cas (VF) ². √t = √t

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A: Given: The density of the plate =1 The plate is bounded by the circle =x2+y2=16

Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

A: Let f(x, y)  be a function of two variables. A pair (a, b) is a critical point of 'f' if either…

Q: Evaluate the line integral [x(1 с where C is given by the line r(t) = (1 + 3t, 2t), 0≤ t ≤ 1. x(1 +…

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Q: For the following telescoping series, find a formula for the nth term of the sequence of partial…

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Q: Find h'(t) if h(t)= h'(t)= 3 1/2 3 3/5

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Q: 1. Find the area between y= |x|^y=2-1x₁

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: This is a problem related to linear approximation of the function. Based on the general formula and…

Q: The price-earnings ratio of a stock is given by P R(PE)=E where P is the price of the stock and E is…

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 8…

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Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

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Q: Find a potential function f for the field F = 2y + 5z (4 i+ 8x j + 20x k). A general expression for…

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Q: To evaluate the integral 3 100+ x² dx, which of the following substitution be used? Select one: Ox=…

A: Topic:- application of integration

Q: dx sin² x cos²x 10. The value of f; A sinx-cosx+C B. cos x– sin x+C C. tanx-cotx+C D. cotx-tan x + C

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Q: The Mosteller formula for approximating the surface area S, in square meters (m²), of a human is…

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Q: Let f(x) = 4x² + 4, g(x) = √-7-x, find the following: (1) (ƒ + g)(x) = (2) (f- g)(x) = (3) (fg)(x) =…

A: Note: as per guidelines we support only 3 subparts of the questions.kindly repost next questions in…

Q: T ecosx sin2x dx = A. 0 B. e-¹ C. 4e-1 .e-¹-1 E. 2e-1 F. None of these.

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Q: Let f(x) (1) (ƒ + g)(x) = = - 9x + 8, g(x) = x - 1, find the following: (2) (ƒ − g)(x) = - (4) (3)…

A: To find the value of given function and their domains.

Q: Speeding up

A: the answer is 173 yard/sec , since speed is positive the humming bird is speeding up

Q: What is the domain of the following rational expression (include all types of restrictions):…

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Q: Express your final answer at least three (3)decimal places. The population of a townin…

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Q: Question 6 Find the area 2 y=x²-3 between the curves and y=x+3

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Q: An inverted square pyramid has a height of 8 feet and a top edge equal to 3 feet. Initially, it…

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Q: Determine the domain of the function of two variables f(x,y)=√√y + 3x. The domain is {(x,y). (Type…

A: To determine the domain of the function of two variables fx, y=y+3x.

Q: Question show that the limit does not exist. a Find the limit, if it exists, or b) lim (x,y)→(0,0)…

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Q: a

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Q: Determine the solution y2(2) of the differential equation, given that it is satisfied by the…

A: Given :x2y''-xy'+y=0