af find given f (x, y) = e + 2xy² - 4y at (0,3) 9 ду O-12 O-7 O 8 O 4

Q: Set-up the integral using horizontal element for the volume of the solid obtained by rotating the…

A: We have to find volume about y=-1

Q: 14) (x + 2)² + (x − 1)² = 2 = 1 4 64

A: Find the general conic form of the equation  (x+2)2/4 +(y-1)2/64 = 1

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Q: 2. y = x³, y = 4x²

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

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Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x 7 s.u. S.U. S.U. 2 9 s.u.

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Q: Solve for the indicated value, and graph the situation showing the solution point. The formula for…

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Q: 5. How is -28 can be express as rational number with numerated the number 4? 84

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Q: particle moves along a straight line with equation of motion s = f(t), where s is measured in meters…

A: Topic:- application of derivatives

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: Here to find the velocity and speed we have to derivate the function s=f(t).

Q: The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 105 e…

A: Find out the population models.

Q: B. By using the n-th root test method, test the convergence of the following series: Σα-Απ n=1 Q.2…

A: Solve the following

Q: Determine whether the given equation is separable, linear, neither or both.  (t^2+1)dy/dt=yt-y

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

A: The graph of the function is To evaluate: The value of limx→4fx

Q: 3 For y = f(x) = 6x³, x=4, and Ax=0.05 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c)…

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Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

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Q: Differentiate. 7 - 6x +2e¯x + +X y=xe Choose the correct answer below. O A. dy dx OB. dy dx OC. dy…

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Q: dy dx 4x + 3y + 15 2x+y+7

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Q: A box with a square base and open top must have a volume of 42592 cm³. We wish to find the…

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Q: 3. Which one of the following statements is CORRECT? A. ff(x) dx + f(x) dx = 0 B. ff(x) dx-f(x) dx =…

A: These statements are related to properties of integration. Here, We will use some integration…

Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

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Q: In The value of the definite integral flm 12 √ex - 9 dx is in the form F(b) - F(a), where a JIn 9…

A: To evaluate: ∫ln⁡9ln⁡12 ex−9dx Let I =∫ln⁡9ln⁡12 ex−9dx Given: ∫ln⁡9ln⁡12 ex−9dx = c3-dπ Let ex−9=…

Q: 10) (x + 7)²_ (y + 4)² = 1 + 81 36

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Q: 28 5. How is can be express as rational number with numerated the number 47 84 O4/7 O-4/12 O-4/7…

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Q: IF y = u+ + 3u2 & u = 2x Find dx

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Q: The graph of a function f is given below. According to the graph, the derivative of the function f…

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Q: 50x , where x is the number of units produced. A company has found that the marginal cost (in…

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Q: A tumor is injected with 0.6 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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Q: e circular disk method is to be used to compute for the volume of the solid gene revolving the…

A: Top:- application of integration

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: An oil refinery is located on the north bank of a straight river that is 1 km wide. A pipeline is to…

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Q: 12) (x − 8)²(y+7)² - + 100 25 (x + 2)²_ (y − 1)² 4 64 YG X 14) = 1 G = 1

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Q: Evaluate the following indefinite integral. dx 9x

A: solution:-∫19x6 dxusing integration formula:-∫xn dx=xn+1n+1+C

Q: please show in your solution how to get the pt of intersection between curves  y=(x)^1/3 and…

A: Point of intersection of the curves is the point where two curve intersect .

Q: If w = 2x² - 2y + 3z + sint and x-y=t, find the partial derivatives below. aw a. (3) X.2 c. (H) b.…

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Q: Find the lengths of the curves in Exercises 1-2. If you have a grapher, you may want to graph these…

A: Concept:  For y = f(x) in the Cartesian coordinates defined on interval a,b  The curve length is…

Q: A tank is in the form of a rectangular parallelepiped 5-ft deep, 15-ft wide, and 25-ft long. It is…

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Q: C. Graf the function of y-5x" if n=3 1. O 1 O 2 2. yax' LEVIC

A: Given data Graph the function y=5xn Where , n=3

Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

A: answer is in next step

Q: Trig Identities Practice Use fundamental identities to simplify the expression. Basic Trigonometric…

A: 1) csc(theta)/sin(theta) 2)cot(theta)tan(theta)+sin2(theta) /cos2(theta)…

Q: Compute the total area A of the (infinitely many) triangles in the figure, if the height h of each…

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Q: Write a formal proof of the following statement. Don't forget to verify each step of your proof. in…

A: answer is in next step .please give a like!!

Q: A spherical tank of diameter 6 m is full of water. Set-up the integral for the work done in pumping…

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Q: Find the area under the given curve over the indicated interval. y=x²; [0,5] The area under the…

A: Given: Now, we need to find the area under the given curve.          Area = ∫05x2dx          =x3305…

Q: 6x-1 b) f(x) = (3x+5)*

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Q: ODE  Solve the homogeneous equation  dy/dx = 4y-3x/2x-y

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Q: Q1/ choose a correct answer for each of the followings * 2 is a matrix then AT = [13]. √a² + b² 1 If…

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: Consider the cone shown below. If the height of the cone is 3 and the base radius is 2, write a…

A: We have to parameterization of  the cone.