Describe the graph of the equation. r = 10 sin 6t í – 10 cos 6t j

Q: Find the volurne of the solid generated by revolving the region about the given line. The region…

A: Explained below

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: We have to solve above algebraically solution

Q: 4y" – 4y' + y = 16e*/2

A: Find your answer below

Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

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Q: Evaluate the upper and lower sums fo n = 2, 4, 8. Illustrate with diagrams. %3D

A: answer is in next step

Q: One of the correct steps to evaluate x2inx x²Inx dx to yield the correct integral A x?Inx B 1 x3 dx…

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Q: Determine the equation of the tangent plane and normal line to the surface at the given point.…

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Q: I having trouble following the part where they take the natural log of the limit and the…

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Q: 4. Evaluate •5 (4 – 2.x) dx - 2,

A: topic - definite integral

Q: (D5 -D* – 2D³ +18D² –31D+15)y =0

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Q: S- x+dx Using trigonometric substitution, (1+x?) tan4ode A sece В None tan+Od0 sec20 sin4ode (D coso…

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Q: In 2. Determine whether the series E=1 is convergent explain why. 100

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Q: A box with a square base and open top must have a volume of 415292 cm. We wish to find the…

A: topic - application of derivatives

Q: dx xV4-x?

A: Explained below

Q: L3x²dx = 65

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Q: The most conveneient way to evaluate x² – 4 by substitution is to let x2 – 4 =y A True B False

A: On solving this we will get

Q: A general solution of the differential equation - 3+4 = 0 is 1. A. y = c,e* +cze2x + c3xe²x B. y =…

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Q: 5xdx 3. Find the integral (x-1)3 -5 a. 2(x-1)2 +C b. ++C -5 2(x-1)2 X-1 c. In () – in () + c )-In()…

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Q: ired) and other rules; You can use technology

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Q: Now, differentiate the function y' = 4x(1 + 2 In). y" = 4 + 8 + In + 8 In

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Q: Use the given vectors to find v•w and v.v. v = 61 - 4), w= - 21 -J v•w= 2 (Simplify your answer.)…

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Q: Find V (F × G), if F(x, y, z) = 11xi+j+3yk and G(x, y, z) = xi + yj – zk. V. (F x G) = %3D

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Q: Determine the vector field of F. F(x, y) yi-xj

A: see below the answer and explanation

Q: 1. The number of arbitrary constants in a particular solution of a fourth order differential…

A: 1. We know that the number of constants in the general solution of a differential equation of order…

Q: Find the area bounded by the indicated curves. y = 3x + 3, y = x2 + 3 Optional For visualization,…

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Q: 21. Solve the equation y' = (x²+ 7) / 9 (2x / 9) + c b. y = (x / 18) + c 22. Solve the equation y' =…

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Q: At the beginning, an experiment records 1 gram of bacterial culture, and the culture's weight is…

A: let weight is exponential growth function

Q: If c is a critical number of function , and if f" (c) < 0, then which of the following statements is…

A: To solve the following problem

Q: 2. Use the definition of integral to evaluate the integral (x³ + 1)dx. (hint: [ S(x)dx = lim Ës(x,…

A: A detailed solution is given below

Q: The equation of the tangent line and the normal line to y = x² – 4x +

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use o or…

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Q: 3x? (x³ + 4)* dæ = 5120 Select one: O True O False

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Q: The most conveneient way to evaluate xx2-4 by substitution is to let x2- A True B) False

A: We have to find out

Q: L 32 da = 65 %3D Select one: O True O False A2Vadx = 104/3 Select one: O True O False S (+4)(a+3)da…

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Q: (D² +6D+9)y=e³* 3x

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Q: ||r(t) x r"(t)|| ||r'(t)||* Use the formula K(t) to find K(t). r(t) = 4 cos(7t)i+ 4 sin(7t)j + 3tk…

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Q: Evaluate the integral (12x + 15y)dx + (24x – y)dy along the paraboli arc y = x from (0,0) to (1,1).…

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Q: Find the area of the plane region bounded by y = x3, x = -2 and x = 2.

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Q: 7. Sketch the region of integration, and evaluate the integral. 22л г JI * zdz d0 dr 0 л 0

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Q: [y sxy dy is equal to -y cony - J cony A (B у сoly - coty dy Scory dy C у coly + -y coty + J coty D…

A: Solution is given below..

Q: Find V x (V x F) if F(x, y, z) = xyj+2xyz k. V x (V × F)

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Q: Evaluste the line integral using Green's Theorem and check the answer by evaluating it directly.…

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Q: The most conveneient way to evaluate ²–4 by substitution is to let x2-4 =y A True B) False

A: Yes the statement is True, the substitution is the most convenient way to compute the integral

Q: The sum of one number and five times the second number is 50. A. What are the numbers so that their…

A: Let the first number be 'x' second number be 'y'. A/q  x+5y=50⇒5y=50-x⇒y=50-x5 The product of first…

Q: Find the volume of the solid generated by revolving the region about the given line. The region in…

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

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Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A: see below the answer and explanation

Q: x*dx Using trigonometric substitution, (1+x²) 3 tan ode A sece sin ode B coso tan ode sec20 sec 9d0…

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Q: (a) x = 0: dy/dt (b) x = 2: dy/dt (c) z = 3: dy/dt

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Q: Find the magnitude of vector AB. 1. A = (4, -3) and B 2. A = (-2, 11) and B = (2, 8) = (-8, 2) %3D…

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