2. The area bound by the curve y = ezr, the y – axis and the line y = 4 is rotated about the line y = 4. Calculate the volume of the solid formed.

Q: Sketch the region bounded by the graphs of the following functions and find the area of the region.…

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Q: 1 If x= tand , then dr coso do . (1+x²) ½° A True B False

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Q: One model for the spread of a rumor is that the rate of spread is proportional to the product of the…

A: Please see the below picture for solution.

Q: 2. Use the limit theorems to find the following limit. x2 – 5x – 14 lim x→7 x - 7

A: Given :limx→7x2-5x-14x-7

Q: -9 2. They" for y V3x-5

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A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

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A: Here we have to find the truth table.

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Q: Evaluate the defınite integral. e? i +ej+t k)dt e? i + (e- - 1) j+1 k 7 e? - 1 i - (e- - 1) j+ 1 k 7…

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Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r =. 3. a, = (2)(J)*| n+1…

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Q: 18. Find xV4x -3 dx 18. SxV4x - 3 dx

A: Use substitution to solve

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A: We are allow to solve one question and 3 subpart only at a time. If you want rest of solution please…

Q: nd lim l Nx-3 and simplifu X-79

A: Given query is to find the limit of the expression.

Q: fF(x)dx = -9 and Si (x)dx = . 3 tind f(x)dx Given that

A: We can solve the answer using the properties of definite integral as below.

Q: Find an explicit formula for an. 15) 0, -1, 0, 1, 0, -1, 0, 1, . . .

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Q: petdo eidj to noitom paidi b noit t no eog edt bnt Use the limit process to find the area of the…

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Q: Find the area of the shaded region. ¡y = x² + 1 ... 5 y = x 2 A B D

A: Area of a bounded region by curves is given by ∬dydx.

Q: dy 5 if y = 2x² + 5 and dt dx Find at x 4. dt dx dt

A: Solving the problem by finding the value.

Q: Graph the problem and solve using vertical or horizontal rectangle. Show your solution. Find the…

A: A detailed solution is given below.

Q: 2 2 2 2 4' 16' 64' 256' 1024

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Q: An open box is made from an 8 inch x 8 inch piece of cardboard by cutting equal squares from each…

A: Volume of the box

Q: Determine if the point A(4, -7, 8) lies on the plane: T1 : [x, y, z] = [-3, 2, 9] + s [2, 3, –7] +t…

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Q: Find the direction angle of v for the following Vel v = - 6i- 3j What is the direction angle of v?

A: On solving this we will get

Q: The area bounded by y=3Vx and 2y=3x is revolved about the y-axis. Using circular ring method, set up…

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Q: solve with complete solution, tell whether the improper integral is convergent or divergent

A: Yes the improper integral is convergent. see below the answer and calculation

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Q: Find the absolute minimum and maximum value for the function on the given interval f (x) = x – 3x2 +…

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Q: (cos(x)) dx cos(c) 3.

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Q: 3. If f(x) = [ 8+f dt ,find f'(1). .

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Q: 4x 9. sech(2x) dx e

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Q: -2

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Q: Setup the iterated integral using the order dydx and dxdy. Sketch R. // (Va+ e") dA where R= {(x, y)…

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Q: Find y=f(x), if f''(x)=3x^2, f'(0)=-7 and f(0)=2.

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Q: A particle moves with its position given by z = cos(t) and y = sin(), where positions are given in…

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Q: Find div F and curl F if F(x, y, z) = 14y°z4i – 3x°z+j – 3xy'k. %3D div F= curl F=

A: Given that,Fx,y,z=14y6z4i-3x3z4j-3xy3k

Q: 5 2 dr = dr- 0 (x²+9)½ /(6+zx) 0, 's (x²+9)½ * A) True B False

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Q: 2. Find the particular solution to the differential equation dy 2y? dx cosec (x) if the point…

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Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Let's find.

Q: help

A: We will solve the Differential equation.

Q: Csin $ 3 y cos*3 ychy

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

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Q: Find the area of the shaded region. y y = x2 + 1 ... y = x -1 2

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Q: 4. Find the area between y=Z+3. and ys-xt1ox-9

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Q: 15. Find x² (2x³ + 4)5 dx

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Q: If f(x) = 8+r dt, find f(1).

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: solution:-limx→1sinx-1x3+4x-5 ,  it is  00   formusing  L'Hospital's…

Q: 1. Find the most general antiderivative of the function f(r) = + sin(4 -r)+ 7e dr

A: We have to find antiderivative of given function

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A: