Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or Oblique Asymptote of f(x). f(x) 3x²+5x-3 x2+3x-10

Q: Find a center of mass of a thin plate of density 8 = 6 bounded by the lines y=x and x = 0 and the…

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Q: Refer to the graph of function f below? What is the lim f(x)? x-2+ -10 -5 10 -5- 0 -5- -10 5 10

A: From the given graph, we have to find the value of limx→2+fx

Q: Find d dx d dx 0.8 0.8 √x -3.4x -3.4x2+6x + 6x

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Q: 2. Evaluate J dx (cos³x sin³x)

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Q: Use the Laplace transform to solve the given initial-value problem. y' + y = 8(t-1), y(0) = 8 y(t) =…

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

Q: Find the indicated quantities for f(x) = 2x². (A) The slope of the secant line through the points…

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Q: Question a)' b)'. : Evaluate the integral J ,: Show all your work. 3x-1 (x + 4)(2x - 1) . Evaluate…

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Q: Find the area of the surface cut from the paraboloid x² + y² -z = 0 by the plane z = 6. The surface…

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Q: A) Find the first five partial sums of the given two series and determine whether they appear to be…

A: Let's find partial sum.

Q: Find the equation of the tangent line at x = 2 for f(x) = 4+x-2x²-3x³. Write the answer in the form…

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Q: Question 3 of 10 ♫ lim f(x)=-1 -2 Given find the following limit 3/7f(x)-g(r)² g(x)+1 and lim g(x)=1…

A: The given data is: limx→2fx=-1limx→2gx=1  Use the property of the limits to find the value of the…

Q: a) S₁ xe -2x dx

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Q: Determine whether the conversard or arguil Gre your divergend. Justify @ 1 + 1/8 + 2/27 + 2/64 t...…

A: Note: Since, the student has clearly mentioned to solve only question no. 1, so we are solving…

Q: —— Solve given differential equation 2(xdy+ydx)+3x2dx=0; when x=1 y=2

A: Here, the given DE is: 2(xdy+ydx)+3x2dx=0⇒2x dy+2ydx+3x2dx=0 Dividing it by 2x dx we have:…

Q: Determine the area of the shaded region bounded by y=-x² + 10x and y=x² - 6x.

A: Follow the procedure given below.

Q: Two cars start moving from the same point. One travels south at 60mi/h and the other travels west at…

A: We have to find distance between two car

Q: Problem #3: Find the following derivative (assuming that r(t) is differentiable). Problem #3: [r"(t)…

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Q: Find the area inside one loop of the lemniscate r² = 2 sin 20. The area inside one loop of the…

A: Area of a closed region in polar coordinate is given by A=∬rdrdθ see below the answer and…

Q: Question 26 O 12 0-8 powered by desmos Suppose that F(x) = f(g(x)), where f(2)= 3. g(2) = 5. g' (2)…

A: [26] Given F(x) = f(g(x)) where f(2) = 3, g(2) = 5, g'(2) = 4, f'(2) = -2 and f'(5) = 11 F'(2) = ?

Q: Let f(x) = 9x² + 2x, g(x) = 7x - 7. Evaluate the following: (1) (f+g)(-3) = (2) (ƒ − g)( − 1) = -

A: First I have calculate the values of , f(-3),g(-3) , f(-1) and g(-1) then find the required values.…

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Q: Use the trigonometric substitution to write the algebraic equation as a trigonometric equation of 8,…

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Q: Find the acceleration (in ft/sec²) of the boat when there is a total of 10 feet of rope out. (

A: Follow the procedure given below.

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: This is a problem related to linear approximation of the function. Based on the general formula and…

Q: lim x→0 x⁹⁹ sin (7x) (sin x) 100

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Q: The result of the integral 4 / (x - 1)(x + 1) is equal to -dx Select one: O none of these. ○ In…

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Q: Find the general solution of the following differential equation. 121y" – 4y = 0 NOTE: Use c₁ and c₂…

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Q: 2 [ 2e sin de

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Q: Let "r" and "h" be the radius and height, respectively, of the right circular cylinder of maximum…

A: Let's find value of r + h.

Q: lim n-78 √√3n+2 3ntz 1 h

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Q: +00 (-1)" n100 4" Determine whether the series Στα or divergent. Series is conditionally convergent.…

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Q: lim__k(x) naudonaUr naUnaUna Ur b) c) lim h(x) 2111+ lim, h(x) 2111

A: This is a problem related to limit of the function. Please follow the procedure given below. As per…

Q: Given that lim f(x) = 4 and lim g(x) = -2. Find the value of x-2 x-2 lim 4f(x) + x-2 [g(x)]³ ) 2

A: we find the value of given limit

Q: The piecewise function f(x) is graphed below. Use the graph to find the average value of the…

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Q: At value of a does the curve y = 2√4x2+1 have a tangent line with a slope of 2? O √12 00 O /12 O…

A: To find the slop at given point.

Q: Use the fundamental identities to simplify the expression. There is more than one correct form of…

A: We know that (a)    sinφcscφ=1(b)   1-sin2φ=cos2φ see below the calculation

Q: Which of the following is a vertical asymptote of the graph of f (x) = 0x=13 y = 9 O O x=9 O U || 3…

A: Vertical asymptotes : It occurs where the denominator of a rational function approaches zero.

Q: Question Describe the relationship 9 a function point inverse between and a of a function point on…

A: We have to write,What is the relationship between a point on a function and a point on the inverse…

Q: Using double integration ,calculate the volume of the solid bounded by the surfaces given by x2 + y2…

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Q: 1 . Find the arc length for y = √√2-x² for 0 ≤ x ≤ √√2. Check your answer by noting that the curve…

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Q: Find h'(t) if h(t)= h'(t)= 3 1/2 3 3/5

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Q: Given: f(x) = 02 01/201 O 3 4x + 1 if a . I→(1/2)*

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Q: 10. Find the limit (if it exists) of the sequence (x_n) where x_n= cos(n)/n.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 50,000 + 700x. (A) Find…

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Q: Finance. A person wishes to have $27,200 cash for a new car 7 years from now. How much should be…

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Q: f(x)=(1+ 4x)1/5; (0.94)1/5

A: We have to find the value of function at point x =.94

Q: Given the integral below, find the best lower and upper bounds for F that the comparison theorem can…

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Q: Calculate the first three partial sums of the series. S₁ S N' 11 = S3 = Σ n = 1 n+4 Use the sequence…

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