Solve the initial value problem. dy -=4e4tsin (e4t - 1296), y(In 6) = 0 dt The solution is y=

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A: Given query is find the equation of the line.

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A: Please see the below answer.

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A: The cost function, in dollars, of a company that manufactures food processors is given by…

Q: 6. For the given motion, (a) find v, a and dat to; (b) find at to; and (c) find a and a at to. r(t)…

A: Given: for the given motion  r(t)=eti+e(-2t)j

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A: Question - Find the largest angle for which sine and tangent agree to within two significant…

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Q: -10 МА 5 10 2 X

A: we need to find the domain and range from the graph.

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Q: Example 1. Find the volume of the by revolving about the x-axis the region under the curve y = √x-1…

A: We need to find out the volume of revolution.

Q: Find lim lim h→0 f(3+h)-f(3) h f(3+h)-f(3) h if f(x) = 5x - 6. (Simplify your an

A: NOTE: Refresh your page if you can't see any equations. . substitute x=3 . substitute x=3+h

Q: Can you help anwer those questiond by looking at the picture below? 1. The function has no relative…

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Q: iv. lim f(x) = X-4

A: Given: limx→4f(x) Note:limx→a+f(x)=LMeans Every ε>0   such that  f(x)-L<ε   whenever…

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A: Given birth rate b( t ) = 2300e0.022tdeath rate d( t ) = 1480e0.019t

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

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Q: 9. f(t)=1/t², [1,3] Answer 1 a. 3 b. √3

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Q: Use the table of values to estimate lim f(x). X-7 X f(x) lim f(x) = X-7 6.9 9.9 6.99 9.99 6.999…

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Q: 15. A cable that weighs 2 lb/ft is used to lift 800 lb of coal up a mine shaft 500 ft deep. Find the…

A: A cable that weighs 2 lb/ft is used to lift 800 lb of coal up  a mine shaft 500 ft deep. To find the…

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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A: We have to find the limit

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A: We need to find the following fromm the given graph:A InterceptsBVertexC maximum or minimumD Range

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Q: The limit below represents a derivative f'(a). Find f(x) and a. (6+h)² - 36 h f(x) = a lim h→0

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Q: lim x-0 O оо O 1/2 1 - cos x x2

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Q: Find the intersection of the two planes with equations 7(x - 1) + 5y + (z + 1) = 0 and (x - 1) +9y…

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Q: A. In each of the following, find an equation of the line (in general form) that satisfies the given…

A: Solution is given below:

Q: Write the equation of the sphere in standard form. x² + y² + z² + 4x − 6y - 6z = 3 Find its center…

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Q: Demand for a product is determined by the function p = 32 - 0,01q. What is the price and the…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

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A: We can solve this as follows:

Q: Describe all unit vectors orthogonal to both of the given vectors. -2i+ 5j9k, 8i + 4j + 6k positive…

A: Given: Let, a = -2i+5j-9k b = 8i+4j+6k

Q: A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. 2. lim f(x)…

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…

Q: A. In each of the following, find an equation of the line (in general form) that satisfies the given…

A: use the  horizontal line for finding te equation of line .

Q: Let f(x) = 9x + 12 ƒ-¹(x) =

A: Solution:

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Q: Find the average value gave of the function g on the given interval. 5 1+t²' 9 ave = g(t) = [0, 7]

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Q: 1) Verify by substitution that each given function y, cosa cos 2x, y₂ = sinz- solution of the given…

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Q: (c) Find an equation for the plane that is perpendicular to the line 1(t) = (7, 0, 9)t + (4, −1, 1)…

A: Question - (c) Find an equation for the plane that is perpendicular to the line I(t) = (7, 0, 9)t +…

Q: Find the average value of the function on the given interval.

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: g(b) Use the Substitution Formula, f(g(x))•g'(x) dx = S f(u) du where g(x) = u, to evaluate the…

A: Given,             ∫-ln3305ex1+e2xdx

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A: Topic = Application of derivative

Q: Please help me  Prove that  sin(-Z)=-sin(Z)

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A: To find an equation of the line that passes through the given point and has the indicated slope m.…

Q: 1. Let h(x): a value c between x = 1 and x = 2 so that h(c) applies. = : 4x³ + 3x - 2. Use the…

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Q: Suppose the position of an object moving in a straight line is given by s(t) = 1² +3t+2. Find the…

A: Given: s(t)=t2+3t+2

Q: On a certain calculator, the inverse tangent function returns a value between 290° and 190°. In what…

A: On a certain calculator, the inverse tangent function returns a value between 290° and 190°. In what…

Q: * The shortest distance from the point (5,10) to the curve x^2 = 12y is 4.331 O 3.474 O 5.127 O…

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