8 Evelluate the double integral: + 3x) dydx

Q: For the curve y = f(x) = x², 0 < x < 2, its length is 2 dy` dx - {(aV17+ In (4 + v17). VI7). L 1+…

A: Apologies for the inconvenience. The correct solution is given below: Given that y=x2 Hence, dydx=2x

Q: 5. Lva – 2r dx 6. 5x+2

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Q: Describe the graph of the equation. r =-18i+(1-j+:k O Itisa parabola in the plane: = -18, with…

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Q: 2. S(e" + e-3)² dt

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Q: tan 0 d 30. dO sec² y dy

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Q: +4x –1 dx x' - x 2.

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: Use trigonometric identities to transform the left side of the equation into the right side (0 < 0 <…

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Q: Find r'(t). r(t) = (tan-'(9t))i+t cos(t)j – Vēk NOTE: Enter your answer in terms of i, j, and k.…

A: We can solve this as follows:

Q: 12) Find the n-th term of the Sequence 12,8,4,0,-4,-8,..

A: nth term of the arithmetic sequence :  an =a+(n-1)d , where , a-first term and 'd' is common…

Q: 2. Sketch the graph of one function g that is continuous on [-4, 4] and has all of the following…

A: Solved below.

Q: Use differentlals and the graph of f to approximate the following. (Round your answers to three…

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Q: 12 For the given function y 3 cos ( 0 2 state the following (show al Work) a) Amplitude b) Period c)…

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Q: C. 5 3 B. A

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

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Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arcos…

A: Givencos-1cos-3π2We know…

Q: 4. The voltage signal from a standard wall socket can be described by the equation V(t) = 325…

A: v(t)=325sin(100πt) period =2π/B B=2π/(100π) B=1/50 B=0.02 sec

Q: Find the point where the tangent line to y = 5x at x = 0.5 crosses the x-axis.

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Q: Q2: Solve the following integrals:- (2) fd 4x2-9 xp: (3)fx sin(x +1)dx

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Q: Find div F and curl F if F(x,y, z) = 9e*Y i – 8 cos yj+ 4 sin? z k. %3D div F= curl F=

A: F(x,y,z)=9e^(xy)i-8cosyj+4sin^2zk ∇F=∂F(x,y,z)∂xi+∂F(x,y,z)∂yj+∂F(x,y,z)∂zk…

Q: X+3 Q4) Find the integration by using: J: dx 2x3-8X

A: This question is based on indefinite integral.

Q: THAnUNIVERS Q3) Find the integration: S- (x+1)/x2+2X

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Q: 8 tan¬1 n 1 + n² 00

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Q: 2x 3x Evaluate the given limit of lim + if it exists. I – 1 I +1

A: Follow the procedure given below.

Q: 1. (1 + y?)° dy 2. S sin x+cotx dx sin?x

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Q: Find the area bounded by y = x + 4 and y = x² - 2. Answer:

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Q: Show that the function f defined by 1, (x, y) = (1, – 1) f (x, y) : .2 x + y (x, y) # (1, – 1) x + y…

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Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: 9) Find the vectors angle between the twe

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Q: Find r'(t). r(t) = (tan(3t))i+t cos(t)j – Vēk NOTE: Enter your answer in terms of i, j, and k. r'(t)

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Q: Find the maximum rate of change of f(z, y, z) = tan(6z + 2y + 3z) at the point ( – 1, 3, – 2).

A: We need to find maximum rate of change.

Q: J4-yズ ニo dy

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Q: Select the correct answer. Which hyperbola has both foci lying in the same quadrant? O A. (- 24)2 (y…

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Q: 1. Rules of LDef nite Integrals: 12 a) b) rpx 12 12 f(x)dr 4, find the If f(z)dr = 12, " $(z)dz = 6…

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Q: Evaluate sin? xcos xdx .

A: To evaluate: ∫sin2x cos3x dx=∫sin2x cos2x cos x dx=∫sin2x (1-sin2x) cos x dx

Q: Use the formula r(t) = |r(t) × r"(t)|l| ||r(t)||³ to find k(t). %3D r(t) = t’i + t3j K(t)

A: r(t)=t^2i+t^(13)j r'(t)=d(t^2i+t^(13)j)dt=2ti+13t^12j r''(t)=d(r'(t))dt=2(1)i+13×(12t^11)j…

Q: Problem 2: Given a function 4x-1 f(x) = 2x +1 Use tabular method to determine if the limit of a…

A: we make chart of the values of x and the value of f(x) to see trend toward the limit…

Q: Edit Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places…

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Q: Find V · (V × F) if F(x, y, z) = 6 sin xi + 6 cos(6x – 7y)j+ 2zk. | V· (V × F) =

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Q: 7. Į V1- xdx 8. ſ e2x dx

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Q: You are given a task to find a series expansion about x = 0 for a solution to (x – 1)y" – a²y' + y =…

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Q: dz dz and dy dx Suppose z is a function of x and y, and tan y² + x² = z®e6y. Solve for

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Q: The length of the curve determined by equations x = t² and y = t from t = 0 to t = 4 is %3D %3D %3D…

A: The objective of the question is determine the length of the curve.

Q: Find r'(t). r(t) = (tan-(4t))i+t cos(t)j – Vik NOTE: Enter your answer in terms of i, j, and k.…

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Q: dzy What is dx2 for the curve given by x = t2 and y = t3?

A: Our Aim is to find d2ydx2 for the curve given by x=t2 and y=t3

Q: sin(x) dx B. Evaluate the integral 1- sin? (x)

A: Our Aim is to evaluate the integral ∫sin (x)1-sin2 (x) dx

Q: Find the value of the following definite integrals. Show your solution. 1. L* + 4) dx 2. f(cos x +…

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Q: For what values of a and b is the line-5x +y b tangent to the curve y = ax when x = 37 a = b D %3D…

A: -5x +y  =b    and curve is y = ax3 at x =3 here for tangent the slope of curve and line is same…

Q: 15 of 20 -722 –8x =? limz→00 3–72²+6x+6 O Does not exist O 00 O 7

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Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: A) y=3x^2+3x B) y=(e3x+e-3x)/2 C) y=log5(tanx).

Q: answer

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