Evaluate the line integral by applying Green's theorem. f 2 y dx + 3r dy C C: x² + y² = 1

Q: Consider the function f(x, t) = sin(x) sin(ct) where c is a constant. Calculate 2 f dx² of dt² || =…

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Q: Solve the triangle. For the sides, give an expression for the exact value of the length in terms of…

A: using sin law in triangle ABCsinAA=sinBb=sinCcA+B+C=180°16.9°+B+95.1°=180°

Q: Use the second degree Taylor polynomial of f(x) = x about 8 to approximate your answer as a single…

A: By using the second degree Taylor polynomial of fx=x53 about 8 to approximate 43553.

Q: √IIn(1) di

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Q: Given that 1 1 - x f(x) = f(x) = Σ x" with convergence in (-1, 1), find the power series for the…

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Q: Determine whether the statement is true or false. 3 1²0x²0x = [²0x²0x + [²0x² dx e+2 4 dx e+2 3 dx…

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Q: Solve the equation. Write the numbers using integers or simplified fractions. tan (-3x)=1 Part: 0 /…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Solve the initial value problem. While the use of Laplace transforms is encouraged, you may choose…

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Q: differential equations 2ycos(2x)dx+(sen(2x)-2sen(y))dy=0

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Q: Find the exact area below the curve y = x³ (2 - x) and above the x-axis.

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Q: diagram. L(0) = = Ꮎ [B] Now, find the derivative, L'(0). Type theta for 8. a We wish to find the…

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Q: At the beginning of a laboratory experiment five baby rats measured 5.3, 6.5, 6.8, 7.2, and 5.9 cm…

A: Solution-   Given  2×5 matrix is      A=  [5.36.56.87.25.9144138153157147]      B…

Q: 2. Use the Fundamental Theorem of Calculus, (a) (b) (c) to evaluate the integrals: TT 3 sec x (secx…

A: Solve by integration

Q: We suggest you use technology. Graph the region corresponding to the inequalities. 2.3x  −  2.4y  ≤…

A: We have to find the coordinates of all corners points

Q: The base of a solid is the region bounded by y = x^2and y = 2x. The cross-section perpendicular to…

A: We need to find volume of solid.

Q: Maximizing the Area Enclosed by a FenceA farmer has 2000 yards of fence to enclose a rectangular…

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Q: Use the following information to complete parts a. and b. below. f(x)=√1+x; approximate 1.17 ... a.…

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Q: 1 3x² + 2x + 1 x + 2 1 (A) B C D 8 15 1 dx -8 + 9 ln 3 16+ 17 ln 3

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Q: Determine the type of DE: - − ydx + (x + √xy) dy = 0 Homogeneous Bernoulli's equation Both…

A: To determine the type of the following DE:-y dx+x+xy dy=0

Q: A certain country's GDP (total monetary value of all finished goods and services produced in that…

A: We will integrate the given function from 0 to t to find the total GDP.

Q: u 8A (2)

A: 10. c) The given series ∑n=1∞4n4. We have to check the convergence of the series using p-series…

Q: Question 8 Textbook T Videos [+] ez - x² Do not use a calculator for this problem. Find the x-value…

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Q: Find a formula for the nth term of the sequence in terms of n. 2 2² 23 24 15' 20' 25' 30' 35 an -1 =…

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Q: On one set of coordinate axes, graph the family of parabolasf1x2 = x2 + 2x + c for c = - 3, c = 0,…

A: We need to graph parabola and describe characteristic.

Q: dy at(5, 4) for the following by implicit differentiation: dx x6 = 36 2. Find

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Q: Find the intercepts and the vertical asymptote of Enter the intercepts as points, (a, b). f(x)= The…

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Q: 1) for what value of k does kx² + 7x-6=0

A: See this solution in below.

Q: = and f" (1) = which one of the statements is true? f(x) must have a relative maximum at î= 1. f(x)…

A: we will find the required.

Q: Find the area enclosed by the function f(x) = cos x + sen x , the x-axis and y-axis . (note: cos…

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Q: Evaluate the line integral by applying Green's theorem. a) 08 f 2² dy C: The rectangle with vertices…

A: Rectangle:-

Q: Find the slope of the tangent to the parametric curve at the indicated point. (Round your answer to…

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

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Q: › (-5, -7) (c) O (x, y) = -2 4 -4 -2

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Q: 5) Rewrite the function Complecting the square a 6) factor 2k² + 8 k + 8 2) Simplify the rational…

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Q: Find the value of +5 f(x) is odd, and ₂ f(x) dx = 5 -5 √₂ f(x) dx = f(x) dx, given than

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Q: x 74. -7 b) V +2- a)

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Q: Find a power series representation centered at the origin for the function 1. f(x) 2. f(2) 3. f(x)…

A: To find the power series of the function centered at origin.

Q: For the function f(x) = 3x² - 4, write Newton's formula as n+1 = F(n) = In - f(x) = 0. Type in x_n…

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Q: Let f(x) = ex²-1. The set f-¹([1, 3)) is: 75.5. O (A) (-√1+log 3, -1] U [1, V1 + log 3) O (B)[-√1+…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  we need to find…

Q: Suppose f''(x) = 6x + 9e ƒ'(0) = - 8, and f(0) Then f(x) = = - - 3x - 5.

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Q: 3. Evaluate ſ¹₂3x² – 2x + 1dx . 4. Evaluate fox√2x² + 1dx .

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Q: Jse summation properties and Formulas to rewrite and evaluate the sum. 33 Σ70 (²-4j+1) j=1

A: NOTE: Refresh your page if you can't see any equations. .

Q: Show complete solution.

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Q: Question 9 Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using…

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Q: Find the exact value. Write your answer as an integer or single fraction in simplest form.…

A: We can find the answer in the below steps.

Q: obtain the equation of f(t) or y(t) taking into account the following differential equation ty'' -…

A: Given differential equation is  ty'' - y' = t2

Q: y= (-1, 1) B- -B+ y= A (a) Find a cosine function whose graph matches the given cu X (b) Find a sine…

A: NOTE: Refresh your page if you can't see any equations. . here we have so points on the graph are

Q: 11

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Q: In the derivative, transform into linear equation y = mx + b (the form)

A: Given :  y = mx + b (the form)   To find : In the derivative, transform into linear equation

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) 3x²…

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