Horizontal, vertical, and slant asymptotes using limits

Q: Find and by implicit differentiation for y = sin y – x.

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Q: Show that h, G) = (x+ n) converges %3D x4り? pointwise fo fa)=1, VXE [I, ) ノ

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Q: cos (0) = -0.115 Round your answer to the nearest thousandth. Provide your answer below:

A: follow next step

Q: Consider the following function. x2 + 2x + 2 2 x3 3 (a) Find y' = f '(x). f'(x) = (b) Find the criti...

A: Given: - The function is, y=x33+x22-2x+2 To find: - (a) The derivative of the given function. (b) Th...

Q: Express the vector t as a linear combination of the vectors u, v and w: t = (5,30, –21), и %3D (5,2,...

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Q: Evalvate the limit lim Cosx In(x- In

A: Given that: limx→π+cosx.ln(x-π)ln(ex-eπ)

Q: Show that V is a subspace of R³: V is the set of all (x, y, z) such that z = 2x + 3y

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Q: A) What is the point of intersection between the plane x – 2 y +3 z +1 = 0 and the line r = + t? B)...

A: Use substitution method

Q: 13 Find the Maclaurin series for f(x) = 1+x 13 -? 1+x What is the Maclaurin series of

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Q: The graph of y = \xl, shifted 9 units to the left Oy = |x - 9| O y = |x| + 9 Oy = |x + 9| Oy = Ixl y...

A: If a function is given as y=f(x), then To shift it up wards by k units we use y=f(x)+k To shift it d...

Q: 1 1. Write the sum of the first four nonzero terms of the power series for - (Hint: 1- 2x 1 Use the ...

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Q: Solve eX =9 for x. ... The solution is x (Type an integer or decimal rounded to four decimal places ...

A: Consider  ex=9

Q: n(-7)" Use the ratio test to determine whether converges or diverges. n! n=7 (a) Find the ratio of s...

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Q: Rewrite the integral in the 5 other orders. Explain your answers. 2 4-y2 f(x, y, z) dz dy dx

A: The given integral is ∫x=0x=1∫y=2xy=2∫z=0z=4-y2fx,y,z dzdydx. The domain of integral is R=x,y,z: 0≤x...

Q: Derivation of a formula of volume cone (using Calculus, in two different ways).

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Q: (6) Draw the graph of a (a) function ƒ satisfying Y S(1) = 2, S is continuous at 1. What is lim,→1 f...

A: f(1)=2f is continuous at 1

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series c...

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Q: Differentiate f(r)= tan(3x). Use exact values. f'(x) = %3D

A: Given ,f(x)=tan-1(3x)We know that, ddx(tan-1(x))=1x2+1Differentiate w.r.t. xApply chain rule,f'(x)=1...

Q: Test each of the following series for convergence by either the Comparison Test or the Limit Compari...

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Q: 3. Suppose a feather is dropped from a height of 40 m above the surface of the moon, its height s (i...

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (-3)"...

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Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given m...

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Q: If s(t)represents the position of a function, in metres, at time t, in second what does the expressi...

A: s(t) represents the position then  limh→0s(3+h)-s(3)h represents the velocity at time t=3 seconds Co...

Q: Of an initial amount of 7000 g of lead-210, how much will remain in 180 years? Lead-210 decays at a ...

A: Given that: Initial amount of lead, P0=7000gRate of decay, k=3.15%per year.

Q: (a) Find the equation of the secant line joining the points (-1, –4), and (3, 0). y= (x+1) - 4 (b) U...

A: Given query is to find the equation of the tangent line at 1 and graph the function with tangent and...

Q: Given the function: f(x, y, z) = x²yz + xy+ +1 find: fz(1, 2, 3)

A: We will find fx1,2,3 in the following step.

Q: Evaluate the integral. Show all your work. sin xcos' xdx

A: 1-sin2x=cos2x ddx(sinx)=cosx ∫xndx=xn+1n+1, for any real number n

Q: Evaluate the integral. Show all your work. 3 sin? xcos' xdx

A: Given that: ∫sin2x.cos3xdx

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use decimal notation. Gi...

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Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) You answered corr...

A: The given series,     ∑k=1∞4k+27k-1

Q: Evaluate the following expression. arctan(- Report your answer as a simplified fraction. Provide you...

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Q: y² +2xy =x+y

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Q: Consider the plane area shown where r= 18 In. 20 in. 30 in. 30 in.- Problem 05.039.b - Application o...

A: Given: Length of rectangle (Lx ) = 30  Length of the rectangle in (Ly) =50  Radius of the semi circl...

Q: Find the angle between the vectors. a=(3, 4, – 2), b=(0,1,2)

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Q: Evaluate the following integral by using substitution ∫4x/√(x^2+1) dx   limit: 0 to √48

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Q: 2. Define a set X as X = RU {-}. Define two binary operations over X as follows: Addition:x O y = ma...

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Q: 22.) Find the slope of the tangent to the curve, y = 2x – x? + x³ at (0,2).

A: Basic derivative problem

Q: Perform the following operation with the vectors а3(2. о, з>. ь-(з. 1, 2) %D |2a– 3b|

A: Given that: a=<2, 0, 3> and b=<3, 1, 2>

Q: (a) What is the rate of change of f(æ, y) = 2xy + y² at the point (2, 1) in the direction i = –3i – ...

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Q: Show that V is a subspace of R³: V is the set of all (x, y, z) such that z = 2x + 3y

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Q: 3. The graph of f(x)= { 3, x≤-1     (x-1)2, x>-1 is shown below. Evaluate lim f(x) x→-1-. a. The li...

A: (3). The given function is:f(x)=3              x≤-1(x-1)2x>-1

Q: Find the Taylor series generated by fat x = a. 3 f(x) = a = 1

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Q: Suppose you were given $500 from your uncle. You deposited that money in a bank and added $10 per mo...

A: Topic:- algebra

Q: The table below gives data from a linear function. Find a formula for the function. Year, t Value of...

A: We have to find the linear function.

Q: 6) lim Vx 0+ f (x) f (x) -0.5 0.5 -0.1 0.1 -0.01 0.01 -0.001 0.001 -0.0001 0.0001

A: 6)limx→0x

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two decima...

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Q: Find the slope of the tangent line. y = cos3x at x= -5pie/12

A: Given:     y = cos3x      At x = -5π/12

Q: Let w = f(x, t) where a depends on r and t. That is, æ = x(r, t) and w = w(r, t) = f(x(r, t), t). As...

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Q: Find the indefinite integral in each of the following. Show all necessary solutions. (2x – 3)dx 2. V...

A: Given :∫(2x-3)dxx2+2x+2

Q: Find the Taylor series generated by f at x= a. f(x) = 2*, a = 1 Choose the correct answer below. O A...

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