Given the function: a. Find f'(x) and f"(x) b. Determine the following properties of the graph of f. C. f(x) = -x³ + 3x Domain X and y intercepts Horizontal and vertical asymptotes (using limit definition) Critical points Create a table following the format below and use it to sketch the graph of f. f(x) f(x) Intervals. Conclusion

Q: 6.4 Find the largest integer smaller than -3/2

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Q: y = x², y = x

A: Here is the solution:

Q: Find the particular solution of the differential equation that satisfies the initial conditio f"(x)…

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Q: Let x and y be two positive numbers whose sum is 175. Determine the values of x and y such that (x +…

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Q: A cone-shaped pile of sawdust has a base diameter of 20 feet, and is 6 feet tall. Find the volume of…

A: We can find the volume in the below steps.

Q: Calculate ff f(x, y, z) dS For x² + y² =9, 0≤ z≤ 6; ffs f(x, y, z) ds = 97(e-6-1) f(x, y, z) = ez

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Q: 63. Determine the radius and interval of convergence of Σ (21kx)* k=0

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Q: If what does the following integral equal? [p(z)dz = 8 0 p(z)dz = 8 and p(z)dz = 4.9 -8 0 -5

A: given  ∫-80p(z)dz=8              ∫-50p(z)dz=4.9              we know that…

Q: 22. Eliminate the parameter from the parametric equations x= -√fy-4t+20sts4

A: To eliminate the parameter to get the Cartesian equation

Q: 2 (√x² + y²) [2x − (x² + y²)]

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Q: Solve the given LDE using the method of variation of parameters. D²+1|y=cscx

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Q: Determine the distance from the point (2, 10, -9) to the plane 8x - 3y +7z = -5

A: Given: Point (2,10,-9) and  Plane 8x - 3y +7z = -5 or 8x - 3y +7z +5=0

Q: open interval(s) on which the function is increasing and decreasing. b. Identify the function's…

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Q: to go to obtain an increase of Problem 2. Consider the function f(x,y) = y ¹ | ²₁ (a) What is its…

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Q: Find the Taylor For n = 2, P₂(x) = For n = 4, P₁(x) = polynomials of degree n approximating cos(2x)…

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Q: Compute the average value of f(x) = √4x + 1 on the interval [0,2]. Average value =

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Q: Find the surface area and volume of the figure below. 9 ft 9 ft Surface Area = Volume= 9 ft a square…

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Q: K Evaluate. 0 1 (2x² + 8) dx (2x²+8) dx = (Type an integer or a simplified fraction.)

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Q: Find the sum of each series. Explain your answer in details. a) 2+0+(−2)+(−4)+⋯+(−38)

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Q: 60. a. Find the linear approximating polynomial for the following function centered at a. b. Find…

A: Given that , fx=16x32 and a=9

Q: new factory in a small town has an annual payroll of $8 million. It is expected that 75% of this…

A:

Q: The price-earnings ratio of a stock is given by P RP,E) = E where P is the price of the stock and E…

A: Given: Price per share of a certain company, P = $30.13 Earning Per share, E = $1.84

Q: - [P] = [In(1+1²)] dt = IP xp J (e) (d)

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Q: Determine a vector equation for hte line through the point: (-2, 0, -8) perpendicular ot the plane:…

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Q: 2). Find the Taylor polynomial of degree two approximating the given function centered at the given…

A: According to question,Given Function,fx = cos2x

Q: -10 -8 -6 -4 * * * 8 -10 Y 2 4 6 8 f 10 x

A: Option 1 Given parametric equation is x=t, y=2t Now y=2t⇒y=2x Graph of y=2x is as

Q: Speedometer readings for a vehicle (in motion) at 14-second intervals are given in the table. t…

A: we need to find the distance travelled

Q: For f(x,y) = Inx+y³, find f (e5,9). 1(e5.9) -

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Q: Find the critical point and the interval on which the given function is increasing or decreasing,…

A: dxndx=nxn-1f(x)=5x2+4for critical points put f'(x)=0

Q: ). Find the Taylor polynomial of degree two approximating the given function centered at the given…

A: Given function:- fx=x Taylor series is given by fx=∑k=0∞fkak!x-ak

Q: A sports ball has a diameter of 27 cm. Find the volume of the ball. Round your answer to 2 decimal…

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Q: Evaluate. 5 -1 -1 (4x²-3x+5) dx (4x²-3x+5) dx = (Type an exact answer in simplified form.) ***

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Q: Pls help ASAP. pls do it right.

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Q: 5. Use double integrals to find the volume under the cone z = √√x² + y2 and above the region bounded…

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Q: Match each of the Maclaurin series with the function it represents. x²n+1 (2n + 1)! A. arctan(2) B.…

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Q: 1 Solve for the differential of y when y=sin (1x). x= 3 and dx = N|H

A: The given function y=sinπx. We have to find the value of the differential dy, when x=13 and dx=12.

Q: rectangular building is to be built on a triangular corner lot with the perpendicular sides equal to…

A: We will find the required  maximum area.

Q: 1. Evaluate the following definite integrals: 1 1.- J (20-1 0 1 [ (1³ / 2. 3. (2t - 1)'dt (t³ + t²)…

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)² at x = 5. *** y=0 (Type your…

A: Given query is to find the equation of the tangent.ln

Q: d the area under the given curve over the indicated interval. y=ex: [0, 4] ne area is Round to three…

A: Given query is to find the area under the curves.

Q: Use the ratio test to determine whether m an+1 an n=21 = lim n-→∞0 9n Find the ratio of successive…

A: Given query is to apply ratio test.

Q: D Question 13 The sum of two numbers is b. If the product of one number and the other number raised…

A: We will find the required.

Q: 5x 2. lim x→+∞ In(2+ex)

A:

Q: 3. Evaluate the double integral. 2-1 (coey) dA where D is the regiou bounded by y-0. y -a², and

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: A truck radiator is filled with 5 gal of water. Now a gallon of water is removed from the  radiator…

A: Initially Radiator has 5 gallons of water

Q: (+/- 4√x²) dx 2x³

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Q: Use the Laws of Exponents to rewrite and simplify each expression. (a) √√5 3/320 (b) 642/3 (c)…

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Q: Differentiate. d| y=9*.log7x dx (9²-log,x) = 0

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Q: Determine the particular solution for the following initial value problem  dy dx = xy − 3x, y(0) = 4

A: Given differential equation:- dydx=xy-3x

Q: 2y y² dxdy Evaluate SS2¹ 4y²+x² O π/12 O π/16 O π/2 O π/6

A: