Find the volume of solid generated by revolving te area enclosed by : x=y²+1, x=0,y=0 and y=2 about:

Q: Find the Indefinite Integral. (Remember to use absolute values where appropriate. Use C for the…

A: The integration of the integral is  (2x2+3x-6)/(x-4).

Q: 1-Find the area of the region R under y=x? + 3x +2 Between x=-1 and x=2 2-the region bounded by…

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Q: (21) Let y be a function of r. Find y'(x). Leave your answers unsimplified. (a) y =…

A: Differentiate wrt x

Q: 7. Determine the value(s) of x where the slope of the tangent line is horizontal. Use exact values.

A: If slope of the tangent line is horizontal ,set dydx=0.

Q: This question is about the function f(8) = (0 – 3) cos(@). (a) Explain why the graph of f lies on or…

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Q: If f(x, y) = e“ sin(4y) then: 4 sin (4) 4 cos( 4) V f( – 1, 1) . el el

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Q: Q3/ The dimensions of a rectangular solid at a given instant (t.) are: L(t.)= 13 cm. W(t)-9 cm.…

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Q: Find the derivative of the function. y = x2(8x2 - 9x) y' =

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Q: (zx" xy') dx-3xy dy 2-

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Q: The graph of the profit function in the last problem looks like this: This indicates that the…

A: This question can be solved using the concept of relation between price,demand and revenue.

Q: x + y - 18x + 10y+ 90 = 0 is the equation of a circle with center (h, k) and radius r for: h = and.…

A: topic- center and radius of circle general equation of circle with center (h,k) and radius…

Q: If A is a vector representing 50 km/h northeast, what is A ? c. 30 km/h northwest a. 30 km/h…

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Q: sin(h) Evaluate: lim h →0 4h

A: Evaluating the limit with the help of standard limits.

Q: Inx 1 13. lim, X X,

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Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L -1| х-5 (х-7)…

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Q: 3 csc 6x 07. lim,-n12 'xn/2 csc 2x

A: Given;  Limx-pi/2  3 csc6x/(csc2x)

Q: Solve each of the following problems completely. Draw figures for each question. 1. Find the area…

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

Q: 2. Which cannot be represented by a scalar? a. speed b. velocity с. area d. mass

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Q: Find the derivative of the function at Po in the direction of A. fxy) - - 2ху - 5у, Ро(9, - 4), А-D…

A: To find the derivative of the function at P0 in the direction of A.fx, y=-2xy-5y2, P09, -4, A=-3i+3j…

Q: Supply the missing integrand and the limits of integration sinx dy dx _dx| 1– y² dx (x=1) dx

A: This question can be solved using the concept of double integration.

Q: Find the rate of change of the arts of a rectangle at the moment when it’s sides are 40 meters and…

A: We have to find the rate if change if rectangle area.

Q: Find a vector that is perpendicular to the given vectors. 3) i = (-5, 6, 7) v = 1, -9, 0) 4) RS and…

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Q: Solve the following equations system 0.17 – j0.2V, =1 - j0.2V, +(0.2+ j0.3)V, = j0.5 V,= 3.3333 +…

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Q: 1 m ... 2 m 4 m The flat surface shown is submerged vertically in water. Find the fluid force…

A: Use formula of fluid force

Q: 9. Find f x • e*dx as a power series. (You can use e* = E=o 100

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Q: Find the limit (If it exists). (If an answer does not exist, enter DNE. Round your answer to four…

A: This question can be solved using the concept of limits.

Q: 2 + In² x dx x(1 – In x)² 2

A: The given integral is: I=∫2+ln2xx1-lnx2dx   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1…

Q: For the implicitly defined curve: cos(7y) 5y sin(x) dy (e.g., find y' ). dx a. Find a formula for dy…

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Q: (23) A right triangle with a hypotenuse of 6 inches is rotated about one of its legs to generate a…

A: Use volume of right circular cone and differentiate it

Q: How many passwords can be made if each password a sequence of 4 uppercase flowed by a consonant…

A: This is a problem related to permutations and combination. Based on the general formula and concepts…

Q: 1. Describe the transformations of the graph of y=vx to obtain the graphs of the following…

A: Question- 1. Describe the transformations of the graph of y=√x to obtain the graphs of the following…

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.3 cm/min.…

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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

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Q: 1+ VI (20) Evaluate the integral: -dx. VI

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Q: SS, x?/9 – y2 dA; Ris the region bounded by the circle x² + y? = 9. R

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Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at a = 3 and roots of multiplicity 1…

A: P(x) has a root of multiplicity 2 at x = 3, so (x - 3)2 is a factor of P(x).  P(x) has a root of…

Q: 1-2 For each of the following functions given by power series, find f'(x) and / f(x) dx. Do not find…

A: To differentiate and integrate the given power series.

Q: PROBLEM 5: Find the general solution to the given differential equation using a method of your…

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The Solution of the…

Q: Зx2 — 2х + 2 x(x² + 1)

A: Given,  ∫ 3x2-2x+2x(x2+1)dx

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L X→a 8 Prove that…

A: use the definition of limit to simplify it

Q: Answer unclear

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Q: 1-Find the area of the region R under y=x2 + 3x + 2 Between x=-1 and x=2

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Q: Find the derivative of the function. 11) y = cos x4 A) dy -4 sin x 4 B) dY - sin x4 dx C) dy - -4x4…

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Q: Find the general solution of the differentlal equation. (Use C for the constant of Integration.) dy…

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Q: (31) Use Newton's Method to make the second approximation x2 to the solution of 2e = ex. Take x1 =…

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Q: What polynomial describes the graph below?

A: To find : The polynomial the given describes?

Q: Find the area of the region bounded by the graphs of y2 = 5 – x and y2 = 4x.   Please put a…

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Q: Determine whether the vector field is conservative. If it is, find a potential function for the…

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Q: Limit of a graph. Please explain.

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Q: Sketch a graph that shows f'(x) and f''(x) are always negative

A: answer is in next step