Which of the following functions has a horizontal asymptote at y = 2?

Q: Evaluate the integral. °/√36 - x² dx = 36cos + √36-x² + C 6 |x X ° / √36- √36x² dx = 18sin + 36-x² +…

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Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim…

A: The answer is given below:

Q: For the following polynomial function, find (A) the degree of the polynomial, (B) all x-intercepts,…

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Q: Simplify 2cos^2(1/2x) -1 = ?

A: We will find the value of x in this question.

Q: 12 14 16 18 - 3 9 27 81 ume the first term is a₁ 3 2 20 243 --}

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Q: B 1. Find the eigenvalues and eigenvectors of A = 3 linearly independent? Why? -2 -3). Are the…

A: This is a problem related to matrix operations. Based on the general formula and concept we will…

Q: For the vector-valued function r(t) = cos(t)i + sin(t)j + 2tk Find r'(t). r'(t)=-i sint + j cos t +…

A: Topic = Derivative

Q: L Direction: Identify whether the following functions are continuous or not at x =4. Write your…

A: Given problem:- Direction: Identify whether the following functions are continuous or not at x = 4…

Q: 2(1-x²) (1+x²)² A. f'(x) = B. f'(x) = c. f'(x) = D. f'(x): = f(x) = find the derivative of this…

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Q: (2x-2) dx sinx dx 2. 3. √xdx 4. J² (²2x²+4x-2) dx 5. So (cosx+tanx)dx 1/1/4 6. Jo ¹/2_dx =dx √1-x²

A: Solve by integration

Q: Show that fis continuous on (-∞, 00). if x ≤1 f(x)=√(1-x² In(x) if x > 1 On the interval (-∞o, 1),…

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Q: Solve the initial value problem.  1. y"=x²+3y'-2y, where y(0)=1and y'(0)=3

A: The given differential equation is y"=x²+3y'-2y, where y(0)=1and y'(0)=3

Q: Q10. Consider the surface z = x²y + y - 2. At the point (2,1,3), find the following: 1) The equation…

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Q: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

A: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

Q: Solve the given differential equation by finding, as in Example 4 in Section 2.4, an appropriate…

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Q: x Cos y Q7. Let f(x, y) = ye ²x + Find fxyx (0,1). √√y² +1 dy dz Q8. If z = x² + 3y, x = sint and t²…

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Q: 1- Evaluate the limit a-Lim(x/(x-1)-1/ Inx) x-1+ d- lim x+1/√2x²+x+1 x-→∞ b- lim [In(cos(x))]…

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Q: 1. Iim (10) A. 11 B. 10 2. lim (x²-3x-1) A. 11 B. 10 3. (x²-25x - 5) A. 18 B. 17 4. lim [(x-4)(x+6)]…

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Q: 1. Given that a right triangle has sin 0 = 0.5. Find another two sides of length if hypotenuse…

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Q: (A) Find the slope of the line that passes through the given points. (B) Find the point-slope form…

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Q: ermine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that…

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Q: H ( { (-1) n - (27-34 an-

A: solution:-∑n=1∞-1n2x-3n2n-1ratio test:-an=-1n2x-3n2n-1an+1=-1n+12x-3n+12nthe series will be…

Q: Use continuity to evaluate the limit. lim x→5 x   29 − x2

A: We have to determine  limit use continuity

Q: The table to the right shows the marriage and divorce rates per 1,000 population for selected years…

A: Solution

Q: 2. Evaluate J dx x²√√x²-49) x>7, using a trigonometric substitution.

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute  take…

Q: NT - My M If = Q, where is a function of y only, then the differential equation M + Ny = 0 has an…

A: The given differential equation is;  ydx+(5xy-e-5y)dy=0

Q: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2).

A: This is a problem related to vector. Based on the general formula and concept we will answer the…

Q: Question (3): Test for exactness and solve the following 1st order linear ODE: (a + 1)y + (b + 1)x…

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Q: What is the divergence of the vector field F of F(x,y) = x² i + 2y²j?2 div F = 2x + 4y div F = 4x +…

A: Given: F→=x2i+2y2j

Q: Evaluate the integral. dx x216x + 65 NOTE: Enter the exact answer. + C

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Q: 5x²-3x+2 x³ - 2x² 4. Use the method of partial fractions to evaluate ·[³ d.x.

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Q: d RULING AND SOLVING! 1. Review the basic concepts of Basic Rules of Differentiation. 2. Determine…

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Q: Evaluate da √7²√7²-49) x>7, using a trigonometric substitution.

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Q: dy a) Show that the equation x² - 13y² 12xy is homogeneous. dx The equation is homogeneous because…

A: We have to solve a part a,b and c.

Q: 1) lim x + 5 x-3 X 1.5 2 2.5 2.75 2.99 F(x) X 4.5 4 3.5 3.1 3.01 F(x)

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Q: 1. Given the function f(x) = sinx,x=(0,2€). Please find the intervals of increase or decrease, local…

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Q: appropriate formula for 9. What is the f sin7 x cos x dx ? A) sin x cos x dx | cscx cosx dx B) C)…

A: We have to find solution of given indefinite integral.

Q: a. Find an equation of the tangent line at x=a b. Use a graphing utility to graph the curve and…

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Q: dy Find given that dx cotx y² · log(x² + y²) = √√√+y√tan(x)

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Q: Q) Using the properties of logarithms, find the derivative of the following function (x² - 1) √x + 1…

A: Given:         y=x2-1x+12x-35 Lets rewrite the equation as        y=x2-1x+1122x-315 Now use the…

Q: Problem 9. Find absolute extreme values for (2) g(t)= = √t 1+t²⁹ x = [0,2].

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A: solution:-f(x)=x2-4x-5x+2,    -1, 5f(x) is continuous in  -1, 5f'(x)=x+2ddxx2-4x-5-x2-4x-5ddxx+2x+22…

Q: Total claims rejected: 100 Total claims submitted: 1,000 Time period: 3 months   Calculate the…

A: Rejection rate

Q: S dx x2 x² + 13x

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Q: Find curl F if F(x,y,z) = 16y5₂5i - 8x³₂8 j- 7xy4k. O curl F = (-28xy3 +64x³₂7)i + (7y4 + 80y5z4)j +…

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Q: Show that the following DE are Bernouli type and solve: 1. y’ – x = y 2. s’+ 2s/t = s 3 t 4

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Q: A. Find the determonant of the matrix A = 142 2 1 -21 -1 -2 -1 4 2 13 2 L-2 1 2 -3-

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Q: Write an equation of the line with the indicated slope and y-intercept Slope = -4 y-intercept = 3 y=

A: slope =m=-4y-intercept =3

Q: Directions: Solve for the derivatives of the following function. Write the letter of the correct…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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