Find the area of region enclosed by x = t - t¹, y = t-t², 0 < t < 1 using Green's Theorem.

Q: Evaluate. Assume that x > 0. 5 9 + 5 X X 9 4 X 4 X dx dx=

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Q: Find the area under the graph of the function over the interval given.   ​f(x)=ex​; ​[−2​,3​]

A: QUESTION - Find the area under the graph of the function over the interval given.   ​f(x)=e^x​ ,…

Q: (For Urban Planners & Developers). During a supplemental lecture, a Math Teacher presented a…

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Q: Find the function y = ax²+bx+c whose graph contains the points (1,13), (-2,-8), and (2,28). What is…

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Q: Select the expression that is equal to the set corresponding to the shaded region in the Venn…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) -5 (a) lim_ f(x) X-C…

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Q: An equilateral triangle has an area of 4√3 cm². What is the length of each of its sides?

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Q: bair of dice is rolled. What is the probability of getting a sum of 11? What is the probability of…

A: Given query is to find the probability of getting 11.

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

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Q: Determine the radius and interval of convergence of the following power series. 80 2k+1 X Σ k=1…

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Q: For the function f(x) solving f(x) = 0. Type in x_n for æn Xn+1 = = 3x²1, write Newton's formula as…

A: The given function fx=3x2-1. We have to find the Newton's formula for solving fx=0.

Q: 13. A right circular cylinder is inscribed inside a sphere with radius r = 3 inches. Find the…

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Q: The acceleration function (in m/s²) and the initial velocity are given for a particle moving along a…

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Q: This distance of a body travels as a function of time is defined by x(t) = -2 +2 +2². What is the…

A: Given distance functionx( t ) = -2t + t2at t = 3.20

Q: Julio can sprint at a speed of up to 12.1 miles per hour over short distances. At this rate, about…

A: Ans= 6.6 seconds  For detail...go through the solution

Q: Please review answer is wrong

A: The given function fx=x7. We have to find the Linearization of fx at the point x=1.

Q: Assume x and y are functions of t. Evaluate dy dt (Type an exact answer in simplified form.) 1-0 =…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: The given curves are  x=4-y2,  x=y2-4

Q: 3. y = 1+5x Inx

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Q: 1) Choose two vectors a and b with all components nonzero. Determine the (approximate) angle between…

A: Topic = Vectors As per guidelines , At a time only one question can be answered. Please repost for…

Q: Find f'(-2) if f(x) = 3 X 8 - 9x.

A: Given,           fx=x38-9xTo find : Find f'-2

Q: Find the solution of the following differential equations. Show your solutions 3. (D³3+8)²y = 0

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Q: Find the linearization of the function f(x) = x7 at L(x) = | la k 7 sin (a) at z = 1. Using this…

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Q: Let f (x) = 2(x+3)² - 5. What is the axis of symmetry of the graph of f? - x=3 X=-3 Oy=5 O y=-5 y=0

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Q: Find two positive numbers with product 441 and whose sum is a minimum. Enter your answers in…

A: We will find the required.

Q: Integrate. Simplify answers A) fet-se 4-5 dr

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Does this series converge or diverge? Give the test used ((11n-6)/(1+12n))^n Start at n=1 End at…

A: We are required to find if the series ∑n=1∞11n-61+12n converges or diverges. We are also required to…

Q: You invest $49,010 in an account earning 5.26% APR, compounded daily. How much total interest is…

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Q: Solve the following system of equations using Cramer's Rule if it is applicable. If Cramer's Rule is…

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Q: Find the solution of the following differential equations. Show your solutions 6. (D6 + 3D + 3D² +…

A: To find the soution of the following differential equation.D6+3D4+3D2+1y=0

Q: (a) Find T₂(x), the 2nd degree Maclaurin polynomial for f(x). (b) Approximate f f(x) dx, using that…

A: To solve the following problem using maclaurin series for approximation.

Q: Find the area of the shaded region. x = y² - 4 -2 y 3 -3 y = 1 x = e 2 y = -1 4 X

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Q: Find the tangent line approximation T to the graph of fat the given point. Then complete the table.…

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Q: 1) y = cos(2x) sin(x) 2) y sin²(x) cot²(x) 3) y = 2 cos(x) - 6 sec(x) +3

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Q: For all of the following questions, assume x is in radians. a. Consider the function f(x) = sin(x).…

A: Given: y= sinx

Q: Use the following function to answer parts a through c. f(x)=x² +7x² - 4x-10 a. List all rational…

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Q: Point (-1, 0, 8) (a) Parametric equations (b) Symmetric equations 5 = y = 1²/144 0 x 1 = y O 5x = X…

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Q: How long, to the nearest year, will it take me to become a millionaire if I invest $200,000 at 4%…

A: Given query is to find the time taken to reach the amount to million.

Q: Find the interest on the following loan. $6000 at 4% for 9 months The simple interest is $ (Round to…

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Q: Evaluate the limit. [A] = [B] [C] - [D] - [B][C] lim h→0 1 3 - 1 3+h h [E] ∞

A: Given query is to find the value of the expression.

Q: The normal line at x = 1 of the curve y=x²+x+ where m = 2 and n = 3, interects the curve at a second…

A: The normal line at x=1 of the curve y=x2+mx+n, where m=2 and n=3, intersects the curve at asecond…

Q: Jse Newton's method to approximate a root of the equation 4x³ + 8x + 2 = 0 as follows. et x₁ = − 2…

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Q: Write a linear cost function for the following situation. A ski resort charges a snowboard rental…

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Q: Use trigonometric substitution to evaluate fx √√9- x² dx

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Q: What is the area of the region bounded by the curve y = sin x and the x-axis on the interval x = π/2…

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Q: Find an equation for the hyperbola described. Graph the equation by hand. Center at (0,0); focus at…

A: Let's find equation of hyperbola. Given centre,vertex and focus.

Q: Assume the nominal interest rate for an account is 6% per year. Find the effective annual interest…

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Q: Use sigma notation to write the sum. 5 5 5 3 + 1 3 + 2 3 + 3 A i = 1 + + + ... + 5 3 + 12

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Q: Set up and evaluate the integral for the area of the shaded region. y=x²-3x² - 40x ... X Evaluate…

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Q: Determine if the following integral converges or diverges. Show all work. No shortcuts. Clearly…

A: To find if the given integral converges or diverges.