Evaluate the following IMPROPER INTEGRALS. It is optional to double check your answers/solution for unboundedness- 6. L.dx

Q: After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world…

A: I am attaching image so that you understand each and every step.

Q: Write the equation of the tangent line to the graph exy + cos v = + COS at He %3D point (-0.3, 2.12)

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. a = 4 b = 2…

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Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

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Q: Q5: (a) Let 1 A -1 0 2 and B = -1 2x2 3 2x2 Evaluate A×B (b) Find the inverse of: 1 0 0 0 A = 2 1 0…

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Q: Direction: Solve the following equations using separation of variables. 2. y' = x(1+ y²)

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Q: Find the absolute extrema of the function. h(x) = ex2 − 9 on [−3, 3] absolute maximum value: ___ at…

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Q: 11x +625 The average cost for a company to produce x units of a product is given by the function…

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Q: /2+ x² 2) Lim X

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Q: Find Ay and f'(x)Ax for y = f(x) = 6x, x =4, and Ax = 0.06.

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Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 2. у — С1 3D С2е -4х 2. у —…

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Q: Select

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Q: S x³et*dx

A: A detailed solution is given below

Q: Evaluate by separation of variables. y = xy? O x(y + C) + 2 = 0 O y(a² + C) + 2 = 0 O (2² + C) + 2 =…

A: Given: y'=xy2

Q: 1 a. f(x)3D 4 b. g(x) = - X c. h(x) = 3 -

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Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: x'sec'ydy – (1 – 2x²tany)dx = 0 %3D

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Q: Consider z1 = 1 - j2 and z2 = -2 + j3. What is the result of squaring the sum 5z1 and 3z2? -j2 O -1…

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Q: Ina swimming pool measuring 90 m by 40 m, 150 men take a dip. If the average displacement of water…

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Q: 2. 30e-3*(1+ e-3x)5dx

A: We need to evaluate integral.

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y²,…

A: Given: f(x,y)=x2-2xy+y2, (5,7,4).

Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: ( cos³x dx sin*x 9.

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Q: 3. Scse*x dx

A: The objective of the question is evaluate the indefinite integral.

Q: Consider the following planes. -4x + y + z = 4 12x - 3y + 4z = 16 (a) Find the angle between the two…

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Q: Consider the function f(x) whose second derivative is f''(x)=8x+8sin(x). If f(0)=4 and f'(0)=4, what…

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Q: Is it log or ln that should be used?

A: You are right. There was a mistake from our end.  Here is the correct explanation: y=x3x Take ln on…

Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: In trigonometric substitution where the integral involves va? + u², what must be the value of the…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -9i + 80j - k v = 9i + j - k O…

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Q: Substitution Method dy xy = 0 (7) (x² – y²) (8) 2xy = x² + 2y² - - dx dx (9) (1 1 3r sin v)dr r2 cos…

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Q: Solve the following initial value problem. dy 1 --X, x> 0; y(6) = 3 dx x2

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Q: dx Example: Evaluate 3 + sin x + cos x

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: We can solve the given problem as follows:

Q: | sin'x sin 2x dx

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what will be…

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Q: 2. Find the equation of tangent line and normal line to 3x y3 + 2y =1 at (0.2) (15 points)

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Q: (4) Consider the function f(r) = r +2- 36r +4. (a) Find the local maximum and minimum values. (b)…

A: As per bartleby guidelines we only give first question answers.

Q: Consider the function f(x) = x2 - 9 (a) Find the domain of f. (Enter your answer using interval…

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Q: :- 3) y cos 20 2 1 3 a: b: Period: C: d: Phase Shift: 21/3 downi

A: Find your answer below

Q: 3. y = ln³(x + sin x) 4. y = tan¬1(3x) cos 1 4x G ED DI 5. y =

A: All the questions are a solved below.

Q: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. How much work is…

A: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. ρ=mass per unit…

Q: A country's census lists the population of the country as 238 million in 1990, 281 million in 2000,…

A: Solved below

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = Y, (1, 8, 8) 10…

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Q: Direction: Solve the following equations using separation of variables. 3. 2xy + 6x(x² – 4)y' = 0…

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Q: Suppose that you have a task of measuring the lengths of a bridge and a rivet and come up with 9996…

A: True error : true value - approximation. True error in Length of bridge: 1000 - 9996= 4 cm

Q: Which of the following integrals are improper? (Select all that apply.) dr 6x – 1 dr 2r – 1 sin (x)…

A: An improper integral is an integral that has either or both limits infinite or the integrand reaches…

Q: der the following planes. 5x + 2y – z = 44 x – 4y + 2z = 0 (a) Find the angle between the two…

A: Angle between planes and line of intersection of planes