Let F(x, y) = 2x 2yi + 3xyj, and C be the boundary of the square with corner points (±1, ±1), positively oriented. Find the flux of F across C.

Q: c) 18x-19 2x²-5x-3 dx

A: To evaluate the following integral.

Q: Find f'(x) and find the value(s) of x where f'(x) = 0. f(x)=2 X x +36

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Q: Evaluate the integral: 11√√x²-100 dx x4 (A) Which trig substitution is correct for this integral? Ox…

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Q: Find f'(x). f(x)= 9x 23+ In x f'(x)= |

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Q: A rectangular swimming pool is designed to be 7 times longer than it is wide. The total surface area…

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: Find the area of the region inside the blue circle r = 2 cos 0 but outside the red circle r = 1…

A: To find the area of the region inside the blue circle  butoutside the red circle  shown below.

Q: 8. Sketch the graph of the function with por and vertical asymptote at x=1 and horizontal asymptote…

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Q: Find a Cartesian equation for the curve and graph the equation. r = 6 cos 0

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Q: The management of a large chain of frozen yogurt stores in New England believes that t days after…

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Q: 1. Find the value of the expression lim x²+x+21 X-3 x-1

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Q: Find the length of the indicated portion of the curve. r(t)=61³i-21³j+31³k 2st≤3 The length of the…

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Q: Problem #6: Find the inverse Laplace transform of the following expression. 4s +3 ²-145+113

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Q: For the linear function y=f(x)=2x-2 a. Find df/dx at x =-9 b. find a formula for x = f to the…

A: The objective of the question is to find the derivative of the function at a specific point, find…

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three…

A: Find the local maximum and minimum values and saddle point(s) of the function.

Q: Find the area of the interior of * = 10+2sinė

A: r=10+2sin⁡θFor the interior area,0≤θ≤2πA=∫r22dθ

Q: Find all numbers c that satisfy the conclusion of Rolle's Theorem for the following function and…

A: The objective of the question is to find all the numbers 'c' that satisfy the conclusion of Rolle's…

Q: I am needing assitance with the problem in the attached image, 2.8.

A: Limit at x tending to -5 exist and equal to 5 . At x = -5 f(x) is not continuous.Explanation:Step 1:…

Q: Use implicit differentiation to find y' and then evaluate y' at (6,-5). 6xy+y+185=0 y' = ☐ y' |…

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Q: b) y = (3x-1)e-x²

A: The equation you've provided is a mathematical expression in terms of a variable x, given by:…

Q: What is a null hypothesis? a. A hypothesis that states there is an effect or relationship in the…

A: The null hypothesis is a fundamental concept in statistical hypothesis testing. It refers to a…

Q: Find the area of one petal of r = 9cos30

A: r=9cos⁡3θFor the area of one petalr=0cos⁡(3θ)=03θ=−π2,π2θ=−π6,π6−π6≤θ≤π6

Q: Use Green's Theorem to evaluate the line integral of F = (x5,2x) around the boundary of the…

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Q: Question 6: Find the equations of the tangent and the normal line to the curve g(x) = the point…

A: As we knowThe equation of tangent line at the point with slope  is The equation of the normal line…

Q: 1. Find fr (1, 1) and fr (1, 1) where f(x, y) = 6√/2x4 + y³ − 2x+5xy.

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Q: X * 0 1 2 3 4 n Process Write a function representing the values in the table. 9.72 8.748 7.8732

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Q: Suppose that f is a function given as f(x) = x² + 2x + 3. Simplify the expression f(x + h). f(x + h)…

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Q: 42. Integrate (7x³ + 4x²) dx. a. b. C. 7x+4x+C 7x+4x²+C 3 C. 3 3 7x3 d. 4 3 7x+4x+C 3

A: Since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: please help solve

A: The objective of the question is to find the value of the function y at x=3, given that y is a…

Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

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Q: Instructions: Sketch the graphs of the following functions. Write neat solutions. Make sure each…

A: Here we have given a function: .

Q: Evaluate the line integral foxy²²ds, where C is the line segment from (-1, -1, −1) to (1, 1, 1).

A: We have to calculate

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e⁹x + e-x (a) Find the…

A: Given: To Find: (a) To find the intervals on which f is increasing and decreasing.(b) To find the…

Q: A polar curve is given by r = 5 (3-cos(e)) What is the slope of the tangent line to the curve at 0 =…

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Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being…

A: Given below solution Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Finad the linearization at the given points. f(x)= 6/x^2 at (2, 3/2)

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Q: 6 x = x= Find the point of intersection for the lines v(t) = (−7, −7, −9)t + (−3, 1, 3) and w(u) =…

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Q: The graph gives the number of farms in the United States from 1850 to 2000. y 7000 6000 5000 4000…

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Q: - - Let ã = 9i – 4j – 2k and b = −6i – 1j + 3k. Find a b • -

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Q: Find the distance from the point (0,1,-1) to the line a(t) = (-2, 2, 4)t + (-6, - 1,5)

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Q: The mean jumping height of a sample of 79 university athletes is 89.6 cm with standard deviation of…

A: The objective of this question is to calculate the t-value, which is a measure of the difference…

Q: lim x-0 √x+5-√5-x χ

A: To find:-

Q: Drug Sensitivity One hour after a dose of a milligrams of a drug Predamestane is administered to a…

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Q: Find all rational roots of f(x) = 3x3 − x2 + 15x− 5.

A: The objective of this question is to find all the rational roots of the given polynomial function…

Q: 3) An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)…

A: Question No. (d):Given: An adult human at rest inhales and exhales approximately 520 ml of air…

Q: Use integral tables to evaluate the integral. Sx√29x-7dx Click here to view page 1 of the Table of…

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Q: (3) (LATEX question) Let n = N and take any cЄ R. Find lim x c xn- cn X - C

A: Let .To find the following limit.

Q: Let f(x, y) =x2(y−1)x4+(y−1)2. Determine the existence of limit lim(x,y)→(0,1)f(x, y).

A: The objective of the question is to determine whether the limit of the function f(x, y) = x^2(y−1) +…

Q: 2 4-y²² #13 Given S² S√4-y 0 0 (y) ddy (a) Write down inequalities. in xy representing the region R…

A: 4πExplanation:Step 1: Step 2: Step 3: Step 4:

Q: 8) Write the expression -3sinx + 4cosx in the form ksin(x + a) for 0 < a < 2. Round a to three…

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Q: Find the points of intersection of the graphs of the equations. Ө r= and r= 1.8 1.8 Select one: O a.…

A: The correct option is (d). (1 . 8 , 3.24).Explanation:Step 1:To find the point of intersection…