28. y' ry + 1; (ry+ 1)dr- dy 0 29. dr- dy 0 %3D

Q: 1. An airplane is flying towards a radar station at a constant height of 6 km above the ground. If…

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Q: Find the plane determined by the intersecting lines. z =1- 3t z = 2- 2s L1 x= - 1+2t L2 x=1- 4s y =…

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Q: pints A and B are separated by a lake. To find the distance between them, a surveyor locates a point…

A: Given query is to find the distance AB.

Q: Evaluate the integral |- 5x + x3 - 2 x5 dx 3

A: Topic:- integration

Q: al squares fr ame if the pie 16

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Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = x =…

A: P(x) has roots of multiplicity 2 at x=1 so (x-1)2 is a factor of P(x).  P(x) has roots of…

Q: Problem 7 Find the horizontal and vertical asymptotes of the function y = f(x) and use limits to…

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Q: The volume of the solid obtained by rotating the region enclosed by y = 12, T = 2, I = 6, y = 0 |3|…

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Q: Sketch the region enclosed by 2y = 5/a, y = 4, and 2y + 2æ = 7. Decide whether to integrate with…

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Q: 2 v2x-x2 XY xydydx 0 0

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Q: For each function, determine the long run behavior x2 + 1 has Select an answer x2 + 2 x3 + 1 has…

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Q: Determine whether the function shown is continuous over the interval (-6,6). Is the given function…

A: Solve the following

Q: 5. The cost C (in dollars) of producing x units of a product is given by the following. C= 3Vx + 400…

A: Use derivative for finding the marginal cost .

Q: On the circle x? + y² = r², find y". C. y": A. y" = =* E. None of these y -x3 -x2 - y? D. y" = В. у"…

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Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k = 11 6.…

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Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: Problem 8 Find the critical numbers and the open intervals where the function f(r) = %3D r³ – 3x + 4…

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Q: Using the separation of variable method solve the differential equation d?/d?=4x3y3

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Q: Find the following for the vectors u = 6i + 3j + /2k and v = - 6i – 3j – /2k. a. v•u, Įv], and Ju|…

A: We will solve the problem on vector dot product and projection.

Q: Problem 1 Solve the inequalities and sketch their graphs on the real number line. (a) 4r – 6 > 10…

A: We have slove inequality  As per guidelines we have to solve 1 question if you need please repost…

Q: 7. Find the exact x-value where the function f (x) = x +ln (x² – 1) attains a maximum value. An…

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Q: (x-2)² y² =D1 5) %3D 81 36

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Differentiate the function. t(t² + 1)4 g(t) = In V8t – 1 - g'(t) =

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Q: the limit of each transcendental function below using analytical method. Answers without olutions…

A: Limit

Q: 1 Evaluate the integral [(3r*) i + (9) j + (5t + 3) k] dt. 1 [(3r*) i + (9) j+ (5t + 3) k] dt = () I…

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Q: The growth of a certain species (in millions) since 1980 closely fits the following exponential…

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Q: In the appropriate interval of convergence, we know that then we %3D 1. 1 can deduce, by applying…

A: We have to find to check the correct

Q: x- 3 – dr x' +9.x (a)

A: find integral separately

Q: Let u = 7i- 3j, v= i-j, and w= i+j. Find scalars a and b such that u = av + bw. a = b=

A: We will find a and b

Q: Find the slope of the tangent line to the curve (a lemniscate) 2 (z? + y?)° = 25(x² – y²) at the…

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Q: 2) Use the Chain Rule to express the second derivative of f •g in terms of the first and second…

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Q: dzy and -in each of the following. Find dx2 x = x= e' cost b. y = e' sint а. y = t-1

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Q: Find the simplified difference quotient. f(x) = 2x +6

A: answer is in next step

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: sum of number is 23 let a number = x  other number is 23 - x

Q: (x)soɔ xp (x)us 19. Find

A: Given problem:-

Q: Find the velocity and acceleration vectors in terms of u, and ug- r= 5 sint and 0 = 5t = (Du, + ()…

A: Recall:The velocity is given by      v =r' ur +(rθ') uθandThe accerleration is given by     a…

Q: Q2 The following graph shows the position function r(t) of a mass attached to a spring. Note that…

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Q: n-1 Consider the series n=1 Find the sum. If it doesn't exist enter "DNE"

A: We have to find out the sum

Q: x - 2x +4x–8 Draw a graph of the function R(x) = Justify all major features using limits. x -11x+18

A: To solve the following problem

Q: 1) Determine the value of c such that the function is continuous Vx E R. Show and explain in…

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Q: Find the velocity and acceleration vectors in terms of u, and ug- = 5 sin t and 0= 5t = ( 5 cost)u,…

A: Topic:- application of derivatives

Q: dy without first solving for y. dx Use implicit differentiation to find y? 1 36 36 dy dx At the…

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Q: For an arithmetic sequence, a17 = 2. If the common difference is 5, find: aj = the sum of the first…

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Q: demand for a certain type of cosmetic is given by p= 540 - x, where p is the price in dollars when x…

A: Given query is to find the revenue function and maximum revenue.

Q: he fox population in a certain region has an annual growth rate of 8 percent per year. It is…

A: To find the function models of population.

Q: Find the center and radius of the sphere. 2 2 5x + 5y + 5z + x +y +z = 16 Center = (OOD. radius = 4…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = 1 x intercepts…

A: Solve the following

Q: dy without first solving for y. dx e implicit differentiation to find ² + 3x + xy = 100 the given…

A: Topic:-  application of derivatives

Q: Use loganthmlc differentlation to find dy/dx. y = x, dy

A: The given function,      y=xx-2, x>0

Q: Find the number(s) b such that the average value of f(x) = 6x? 42x + 70 on the interval (0, 6 is…

A: The average value of f(x) in the interval a,b is given by, 1(b-a)∫abf(x)dx