proportional

Q: Solve the differential equation below using series methods. y'' – xy' – 5y = 0, y(0) = 4, y'(0) = 2…

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Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Here to of the function is at point (1,5), On left side function is increasing ,and at right side…

Q: 2. Sketch the graph of one function g that is continuous on [-4, 4] and has all of the following…

A: Solved below.

Q: A particle is moving with acceleration = 6t + 12. its position at time t = 0 is a(t) s(0) = 5 and…

A: First use the integration to find the velocity then again integrate to get the position function.

Q: 1 of 22 Each of the following measurements can be identified as a scalar or a vector. For the…

A: The given data is: For the vector only, which one has the greatest numerical values.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = t3+3°dt f'(x) =…

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Q: Glven fx) dx = 9 and fx) dx = -4, evaluate the following. Exercise (a) Step 1 To evaluate the…

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Q: S(e3t + e-3t)2 dt

A: To evaluate the value of given integral.

Q: I. Complex Numbers and Variables 1. Find the square roots of the complex number 5 + 2i. (cos 0+j sin…

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Q: 2x2 -9x Find the limits and justify if needed. 12. lim x² – 1 X-

A: Given query is to find the limit of the expression.

Q: How do I calculate sec^-1 (1)?

A: Domain of sec-1(x) is (-∞,-1] ∪[1,∞) and Range is [0,π2) ∪(π2 ,π].

Q: 5) Find cos (20) if tan @) =Ž and e is in quadrant 3.

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Q: 9. (Trigonometric Substitution) Let x = 2 sin(0) for 0 < 0 < . Write v4 – x2 as a trigonometric…

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Q: dy

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Q: g(x) If f(x) then h(x)'

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Q: If f(x, y) = x cos y + ye", find the second-order derivatives %3D af a²f ах ду" and ar" dy ax'

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Q: Find O 1/10 2/5 O 25/12

A: Follow next step

Q: 8. True or False: If lim an = 0, then an converges. %3D n=0 (a) True (b) False

A: Solved below

Q: 5 6 Consider the function f(x) x2 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) =

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Q: Two transverse waves y1 = 2 sin(2nt - x) and y2 = 2 sin(2rt - Ix + T/2) are moving in the same…

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Q: Find the derivative of the function. 4 - 4x – x2 f(x) x2 - 6 — 4х — 2 - -1+ f'(x) = -x – 6

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Q: sin(n +h) – sin . lim- а. 1 b. 0 C. -1 d. * е. -00 h-0 h

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Q: Write the equation of the function graphed below.

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Q: 10* dx (10*+1)5

A: We can solve the integration as below.

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/ō-definition of the derivative to prove that f(2) = 9.

A: Given

Q: Find the area bounded by the curve y = 4x-x and and the lines x = 0 and y = 4. %3D Answer.

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Q: owing integral equal?

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Q: 3. Find the point(s) on the graph of the curve fle)-+3+ where the tangent is horizontal.

A: To find the points on the graph of the curve fx=x33+3x+4x, where the tangent is horizontal.

Q: 4. The temperature, T, in "C, of a side of beef t hours after it is put in the freezer is given by…

A: Given

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A: Given ,  Two cars are initially 1200 miles apart  At the same time Car A starts driving at 35 mph to…

Q: How to find point of intersection?

A: You have to sketch the graphs using a graphing calculator like this:

Q: 19 at are the equations of the asymptotes for the function y = tan 27x where 0 < x < 2 х %3D 0.25,…

A: Given query is to find the equation of asymptots for the function.

Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2x, y =…

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Q: S(9% + 33* + 2²) dx

A: Given

Q: Which of the following transformation statements is not true about the transformation from y = cos-1…

A: We can reflect the graph of any function f about the x-axis by graphing y=-f(x) and we can reflect…

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: We have to find if the series converges or diverges.

Q: A physical education teacher found that 62% of the students exceeded the minimum standards. Which…

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Q: 1. Consider the point in the plane whose Cartesian coordinates are (x, y) = (-10, 24). 1.1. Find…

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Q: At how many point(s) does the helix with vector equation r(t) : (cos t, sin t, t) intersect the…

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Q: Find f. f"(x) = -2 + 18x – 12x?, f(0) = 2, f'(0) = 14 f(x) =

A: Here we will find f(x),

Q: dy sin(4x) Find for y dz V1 - x4 dy de

A: Given query is to find the derivative of the expression.

Q: Convert the differential equation x''' = x'' – 2x' – 4x +t into a system of first order equations by…

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Q: Find all the relative and absolute extrema of the given function on the given domain. (Order your…

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Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = -x + 7 6. g(x) = = y 81 6 2 bo 2.

A: We can find the area under the curves as below.

Q: 5. u = 2i, v = -3j

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Q: e sin. *(sin x + cos x) dx ecos x

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Q: 6x² – 7x +9 Find the lim Justify your answer. What can you concluc 4x3 +6

A: Given query is to find the limit of the expression.

Q: Find the center of mass for the following masses along the x-axis (distances are in cm): 42g at…

A: Center of mass = sumation of mi xi / summation of mi

Q: Find the general indefinite integral. (Use C for the constant of integration.) sec t (8 sect + 9 tan…

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Q: Problem 2: Given a function 4x -1 f(x) = 2x +1 Use tabular method to determine if the limit of a…

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