Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If the limit does not exist, then answer DNE. y sin y lim %3D 2 y 0 16y

Q: I. Find the general solution of the following: dy 2x 1.- dx y dy 2. xy dx 3. dy = (6e3x+ 1)dx

A: We have to find the general solution.     According to our guidelines we can do only one question so…

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Q: x'+8 The function f(x)=. has derivatives f'(x)-X-16 48 and f"(x)= (a) Determine the x- and…

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A: Given query is to find indicated limits.

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Q: Consider the piecewise function: 2x+8, x3 Determine the value of each limit. If the limit D.N.E.,…

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Q: y =, x = 1, x = 4, and y = 0 is revolved about the y – axis.

A: Let's find.

Q: 3. For each of the following functions z, find and дудх' дхду 3. z = tan-

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Q: dz and at dz 3. Let z x2 + y3, r 2st and y = s- t2. Compute for

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Q: Evaluate: 2) x-In x dx

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Q: 7 In the interval T, 27|the equation sin x = 8 (a) has no solutions (b) has one (and only one)…

A: Solution of (sinx)^2 = 7/8.

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A: Since you have posted multiple questions as per guidelines we can solve only one question at a time…

Q: Evaluate the integral. 1/2 | [6 cos ti-3 sin tj+ sin 3t k] dt 1/2 | (6 cos ti- 3 sin tj+ sin? 3t k]…

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Q: 4. Determine the equation of the plane passing through the point (1,-4, 3) and parallel to the plane…

A: Explanation of the answer is as follows

Q: 18. Find [ 2x°(2x* -1) dx

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Q: To find two real numbers whose difference i and whose product is minimum, we can find minimum value…

A: Topic:- calculus

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A: This question is based on general solution of Sine function.

Q: 2. Which is the interpretation of the statement lim f(x) =L? i. For all x values close to c, but not…

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Q: Determine the antiderivatives of the following functions: 1. V36-x² dx 2. J 9x2+36dx 1 S- x In…

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Q: e cost of sending a large envelope via first-class mail is $0 73 for the first ace and $0.18 for…

A: Given query is to find the Indicated limit form the graph.

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: 4 -2 3 1 3 2 15) - 2 1 Ans. -3, 2 ; 5, 0 1 2 2

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Q: Evaluate the limit x2+19x- 48 lim x--3 x2-11x+42 O a. а. 0 b. None of these. С. 13 11 d. 00 е. 13 17

A: Limits

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A: We will find the limit.

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Q: Find the nth term of the given infinite series for which n= 1, 2, 3, ... 1 1 +... 2x6 3x7 4x8 5x9 an…

A: Given 12×6-13×7+14×8-15×9+.....n is from 1,2,......... to infinity

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

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Q: əz az A. For each of the following functions z, find - and дх ду 1. z= sin3x cos4y 2. z = tan-1 (2)…

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Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

A: It is a true and false type question. Answer  is false

Q: Given f'(x)=-+e²2* +x² and_f (1) = +x*and f(1)=. Find f(x) 5.

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Q: a) m - 1 b) m – 2 Q.8) The characteristic equation for y"" + 3y" – 4y = 0 , is : b) 2' = 32?-4 c) m…

A: To find out the characteristic equation.

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Q: Assuming annual compounding, find how long it would take for the general level of prices to double…

A: Given query is to find the time taken to double the amount.

Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) = 8 cos TX ...…

A: The Maclaurin series is given by  f(x)=f(0)+f'(0)1!x+f''(0)2!x2+f'''(0)3!x3+...

Q: Use properties of limits to find the indicated limit. It may be necessary to rewrite the expression…

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Q: A. For each of the following functions z, find and дх 2. z = tan 出一郎

A: Explanation of the answer is as follows

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A: In this question we have to find the function in terms of x.

Q: Consider and know that the function g defined by 1 g(x, y) = cos (TX /y) + log3(x – y) Answer the…

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Q: Use the graph of F, shown on the right, to find the given limit. When necessary, state that the…

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Q: 3) y"+2y'-8y 0, y(0) = 1, y'(0) = 8.

A: Given:y''+2y'-8y=0y(0)=1 y'(0)=8

Q: Determine the inverse Laplace transforms of: 2s²-5s-1 (a) (s+3)(s²+9)

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Q: 3 Σ n(n + 1) n= 1 The first partial sum is S, = (Type an integer or decimal rounded to four decimal…

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Q: Construct a table and find the indicated limit. Vx +2 If h(x)= x-8 then find lim h(x). x-8 Complete…

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Q: Determine the first derivative for each of the following functions. Remember to simplify. 2x-3x a)…

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Q: .What is the limit of the sequence an = [(n2 - 1)/(n2 + 1)]n

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Q: mine the value(s) of x where the slope of the tangent line is horizontal. Use exact valı…

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Q: Determine if there are zero, one, or two triangles for the following: m ZA = 48° a = 10 m

A: Given:∠A=48°a=10b=12

Q: A. For each of the following functions z, find az and ду ax 1. z= sin3x cos4y 2. z = tan- (2) 3. yz…

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Q: Question 6 Use differentials to find the approximate value of y: (2x 1) when x = 0.98. O (E) None of…

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