Problem 100. Evaluate the double integral re R is the region bounded by x = 0, y = 2, and y=x. R y dA

Q: Calculate f((5x + 2y)i + (4x + 7y) 3) · dr where C' is the circular path with center (a, b) and…

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Q: 3. The particular solution of the differential equation dy for which y(0) = 20 is dt 4 O y =…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Lotteries In a New York State daily lottery game, a sequence of four digits (not necessarily…

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Q: Find the limit (if it exists). If it does not exist, explain

A: A limit does not exist when limx→a-f(x) ≠limx→a+f(x)

Q: Question 3 Let D denotes the region in the xy-plane bounded by the parabola 2x y = 2x. (a) Sketch…

A: Please see the below picture for detailed solution.

Q: The cost of producing z units of a commodity is given by C(z) = 140 + 15z - 0.8a marginal cost…

A: We will find the marginal cost function.

Q: Evaluate the line integral along the given path. ds [ (x² + x² +2²) 0₂ C: r(t) = sin(t)i + cos(t)j +…

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Q: A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s…

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Q: Find the angle between the vectors. (First: v = -21 exact u = i- 6j + k, approximate xx x +

A: topic:- vector algebra

Q: Evaluate the line integral along the given path. (Round your answer to two decimal places.) Jox xy…

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Q: (b) By using trigonometric substitution, evaluate the following integral √ √F² + 4x + 5d.

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Q: 27. Write an equation for the piecewise function graphed below. H toolkits. -5 -4 -3 -2 -] 5- + to 2…

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Q: Determine whether the following series converges or diverges. Σ k=0 2k 2 k +1

A: To determine the series convergence or divergence.

Q: the solution for (AxB)xC

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

Q: III) Let f, g, and h be the functions defined below: f(x) = 5* g(z) = logs (3² — 4) x 1) Find h¹(x)…

A: The given function is hx=6-x2x-5

Q: A sales representative for a company that produces blenders can sell x units of their deluxe model…

A: To marginal profit is the derivative of the profit function, which is based on the cost function and…

Q: Compute the directional derivative of the function g(x,y) = sin((5x - 4y)) at the point P(3,3) in…

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Q: = √ F Evaluate F. dr. F(x, y) = 3xi + 4yj C: r(t) = ti + √4-t²j, -2 ≤ t ≤ 2

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Q: 3+ 2+ 1+ -2 -3 Find lim f(x) = 78°F H→ The graph of the function f(x) tan x is given above for the…

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Q: 5. Solve lim (x + e²a)1/a. Show complete solution. The following may be useful: x-0 ● ● lim ƒ(x)9(x)…

A: The given limit is: limx→0x+e2x1x   So, the given limit is in the form of limx→afxgx. Where,…

Q: A car lease requires payments of $485 at the beginning of each month for 8 years. If the lease rate…

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Q: The half-life of a certain substance is 3.6 days. How long will it take for 20 g of the substance to…

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Q: 4. Compute the total volume of the shaded area of the figure below where the cross-sections are…

A: We need to find volume.

Q: Consider the implicit function. e' = sin (6x) Determine the formula for in terms of x. dy dx

A: Here we have to find the derivative.

Q: L3Q15. Find (g/f) (x), if f(x) = x2 – 4 and g(x) = x – 2. A.x2 – x – 2 B.1/(x + 2)

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Q: Determine if the critical points of the function f ( x ) = x³ + x² - x - 2 are maximum or minimum…

A: The given function is: fx=x3+x2-x-2   As we know that; To calculate the critical point, f'x=0.

Q: ition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the…

A: Please see the below picture for detailed solution.

Q: Find the limit. Ilm x4 1 5 g B

A: using limit, direct putting value since denominator is polynomial

Q: The diameter of the base of a circular cylinder is 8 fteet and the elements are inclined to the base…

A: We have to find the volume of the cylinder.

Q: Solve the given initial-value problem. dx dt x(t) = y(t) = = -11x - y dy = 25x - y dt x(1) = 0, y(1)…

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Q: In a display, there are 20 toys in the first row, 23 toys in the second row, and so on in an…

A: topic- arithmetic sequence

Q: Determine whether the following series converges or diverges. n² +1 Σ n² +n +8 n=2

A: We have to find the series is Convergent or divergent.  We can apply limit rule to check it.

Q: The slope of the tangent line to the curve y = 4 X at the point 5, is: The equation of this tangent…

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Q: Question 5 A planning engineer for a new flour mill must present some estimates to his company…

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Q: If L{f(t)}=F(s), evaluate F(2), f(t) = 1 + 2t - (1/3)t4 O 0.75 O 1.25 O 1.50 O 1.0

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Q: receiving his first income, Juan dela Cruz invested P20,000 in a bank for his future family. The…

A: Given the query is to find growth rate, money after 10 years and time taken to double the amount.

Q: A fast food restaurant can produce a hamburger for $1.35. If the restaurant's daily sales are…

A: Multiply the number of burgers increasing per day with the cose of 1 burger.

Q: Consider a particle that moves through the force field F(x, y) = (y - x)i + xyj from the point (0,…

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Q: Use the functions below to find the given value. f(x) = x 2 8 g(x) = x³ (g¹¹) (-2) = |

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Q: Find the cross product a x b. a ++kb-i+2j - 3k 10 Verify that it is orthogonal to both a and b. (a x…

A: Consider the vectors  a=12i+13j+110k,    b=i+2j-3k

Q: Parameterize the plane that contains the three points (-2,-2,-2), (-12, 2, 12), and (0, 35, 30).…

A: To find the parametric equation of a plane containing three points (-2,-2,-2,), (-12,2,12) &…

Q: II) Let f be the piecewise function f(x) = x³ + 6x² + 8x x+2 1-x-2, -, x≤-1, x -2 -1 1 1) Sketch the…

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Q: 1.) a. Verify that y, (x). and y₂ (x) e are solutions of the differential equation 2y" y'-y-0 on…

A: We have to find if given are solutions to differential equation or not.

Q: Use implicit differentiation to find y', and then evaluate y' for x²y - 3x³ + 8 = 0 at the point…

A: We have to find out derivative

Q: Use the substitution method to solve the system -x+y=-2 4x - 3y = 9 Your answer is x= y =

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Q: (d) Find the volume of the solids generated by revolving the region bounded by the curves y = 2x -…

A: Solved below

Q: = xn For the function f(x) = cos(x), write Newton's formula as n+1 = F(xn) = solving f(x) = 0. Type…

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