Find the volume of the solid obtained by rotating about the y-axis the region bounded by y=x² and the x-axis for the interval 1≤ x≤2

Q: Find the velocity and acceleration vectors in terms of u, and ug- de r= a(7- sin 0) and =7, where a…

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Q: Evaluate the integral |- 5x + x3 - 2 x5 dx 3

A: Topic:- integration

Q: Problem 2 Let f(x) = and g(x) = /3x +2. (a) Find the domain of y = f(x). (b) Find the domain of y =…

A: We have to find domains

Q: The gradient of f(x, y) xy at (x, y) = (– 1, 1) is

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Q: Find a unit vector that has the same direction as 8i - j+ 4k. Write the numerical coetficient in…

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Q: 5. The cost C (in dollars) of producing x units of a product is given by the following. C= 3Vx + 400…

A: Use derivative for finding the marginal cost .

Q: 13. Identify the polar coordinates of the point with the given rectangular coordinates. (-6, - 63) 7…

A: Topic = Algebra

Q: dx (9 – 4.x²)³/2 2,3/2

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Q: Let f(z) then for all real number the power representation of f is Select one: O True O False

A: Recall : 11−x=∑n=0∞xn=1+x+x2+x3+…

Q: 14. %24

A: For determining the continuity of a function from its graph , we need to examine whether the graph…

Q: 00 Determine whether the series omverges absolutely, conditionally, or n=1 not at all.

A: The given series is ∑n=1∞-1n-1nn2+1. A series ∑n=1∞un   is absolutely convergent if ∑nun  is…

Q: 32 Suppose that f(x, y) = x°y². The directional derivative of f(x, y) in the directional (1, 2) and…

A: Given problem:- Suppose that f(x, y) = x3 y2 . The directional derivative of f(x, y) in the…

Q: To find two real numbers whose difference is 24 and whose product is minimum, we can find the…

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Q: v(x² – y + x)dx + (x² – 2y) dy = 0 %3D

A: Topic:- solution of differential equation

Q: 4. How much should be deposited in an account paying 7.5% interest compounded quarterly in order to…

A: Compound interest

Q: Please answer the question; correctly, thank you

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Q: 12. Find the maximum and minimum values of each function. Graph each function. а. у %3D е* + 2 b. у…

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Q: Determine if there are zero, one, or two triangles for the following: m ZA = 48° a = 10 m

A: Given:∠A=48°a=10b=12

Q: dy Find dx y = = 5x° sin x coS X

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Q: 2) Use the Chain Rule to express the second derivative of fog in terms of the first and second…

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Q: Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not…

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Q: Find the given limit. lim (-x + 2x- 1) x-5 lim (-x +2x-1) = (Simplify your answer) X-5

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Q: Find the slope of the tangent line to the curve - 22? – 3xy – 4y = 115 at the point (1, – 3).

A: The detailed solution is given below Thank you

Q: 4. Determine the equation of the plane passing through the point (1,-4, 3) and parallel to the plane…

A: Explanation of the answer is as follows

Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

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Q: Find the velocity and acceleration vectors in terms of u, and ug- = 5 sin t and 0= 5t = ( 5 cost)u,…

A: Topic:- application of derivatives

Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: scientific

A: We will find the 28th term

Q: Directions: Determine the reasons of the following statement In the given figure, if EF GH, then EG=…

A: We want to identify the steps.

Q: 3) y"+2y'-8y 0, y(0) = 1, y'(0) = 8.

A: Given:y''+2y'-8y=0y(0)=1 y'(0)=8

Q: Find an equation of the tangent line to the graph of x* + 3xy? + y = 15 at the point (1, 2).

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Q: cos vx cos(sinvx) dx

A: Given query is to find the value of the integral.

Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

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Q: 24 2. 3. 25 Equation: Solution: Ec So Triple?. Tr Triple Family: . Tr

A: According to company rule we can answer only first question and rest can be reposted.

Q: Problem 9 Compute the derivatives of: (a) f(x)= e6z²+3z (b) g(x) = r°e² (c) h(x) = In(3r“ + 2x)

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Q: Given (x+ y}* – ( x - v}² = x* + y^, find dy/dx using implicit differentiation. A. - 2- E. None of…

A: Given x+y2-x-y2 =x4+y4. We have to find dydx  using implicit differentiation.

Q: Use the graph to find the following limits and function value for each value of a. i) lim f(x) i)…

A: Given query is to find indicated limits.

Q: QV Determine whether the given differential equations are bomogenous and, if so, solve them. a) xydy…

A: To find out that the given differential equations are homogeneous or not.  According to company…

Q: "(x) If t(x) = Vx find ť'(x)" -2x O 2x -1/2x O 1/2x O None of these O o o o

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

Q: Problem 1 Solve the inequalities and sketch their graphs on the real number line. (a) 4r – 6 > 10…

A: We have slove inequality  As per guidelines we have to solve 1 question if you need please repost…

Q: 3. dt find F'(x) and F'(3) 1-2 17. Given F(x) =

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Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduce to…

A: To find the mass.

Q: Find the velocity and acceleration vectors in terms of u, and ug. do r= 6 e a0 and -= 3 dt Ju, +Juo

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Q: Sketch the integration region of the following integration aud evaluate the integral (xソー2xり)dy dx…

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Q: 5. Use Linear Approximation to estimate e(-0.01). Show work

A: answer is in next step

Q: Problem 8 Find the critical numbers and the open intervals where the function f(r) = %3D r³ – 3x + 4…

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Q: x +729 lim x+9 X-9

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Q: Write the composed trigonometric function sin (arctan x)sin (arctan x) in terms of x. Explain your…

A: In this question we have to find the function in terms of x.

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

A: A detailed solution is given below.

Q: al squares fr ame if the pie 16

A: