In Exercises the region. , use an iterated integral to find the area of 36. y 3- 2 (1,3) (2,3) (1, 1) (2, 1) 2 3 X

Q: 0 -5 3) a) Given four points on the function y = f(x), A(-3,0), B(0,6), C(2,-2), and D(3,0), find…

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Q: (a) Draw the vectors a = (4, 3), b = (2, -1), and c = (9, 1). y 10r 10 5 5 p po kap -10 5 -5 5 10…

A: (a)  to draw the vectors a=(4,3)   b=(2,-1)      c=(9,1)

Q: h(x) = (lx - 21 (4- 2x if x # 2 if x = 2

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Q: A parametrized curve is given by: r(t) = (20 cos t, 29 sint, 21 cost).

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Q: Find: i) fx³dx ii) f8y³ dy

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Q: but how did you get that s+3 in the nominator

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Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, 32, and y3 of the…

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Q: lim ln x x-0

A: Given:      limx→0 ln x Left hand limit:    limx→0-ln x As can be seen, left neighborhood of the…

Q: lim -3x7 + 7x³ – 5. X→∞

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Q: Differentiate the equation: y=4x2+8x+2/the square root of x

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Q: Determine the area bounded by x = -y² + 10 and x =(y-2)²

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Q: Solve the Bernoulli differential equation 3(1+x²) y = 2xy (y³1)

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Q: i) f 3x +2x?+x dx *

A: given that, ∫3x3+2x2+xx dxwe know that,∫xn dx=xn+1n+1+C

Q: Let F(x) = f(f(x)) and G(x) = (F(x))²2. You also know that ƒ(7) = 2,ƒ(2) = 3,ƒ' (2) = 10, ƒ' (7) =…

A: The functions are Fx = ffxGx = Fx2 The values of the function fx and its derivative f'x are f7 = 2,…

Q: [² Find X dx. Hint: Choose a to be the geometric mean of xi-1 and x; (that is, x = Value of integral…

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Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

A: This question can be solved using the concept of rate of change of physical quantities.

Q: ermine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A: Given query is to find integral converging or diverging.

Q: 2 2. Is f(x) = { = { x²-1 x+1 if x = -1 if x −1 continuous at x = −1? (Show your work using limits.)

A: See this solution in below.

Q: For the curve 2² - 4xy² = y³ +9, do the following:

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Q: Evaluate lim (x,y,z)→(π,0,3) ze -2y cos(2x)

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Q: A B -3 -2 2 3 The non-zero value of n for which the differential equation (3xy² + n²x²y) dx + (nx³ +…

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Q: dy general solution of 25 dx - - y secx = y³ tanx

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Q: A tank initially contains 100 liters of pure water. A brine solution con- taining 2 kilograms of…

A: We have to find the time at which concentration= 1/5 kg

Q: What is the area of the triangle with vertices given by (22, 12, 21), (22, 16, 21), Area =

A: Topic -Area of triangle We are given, vertices of triangle as (22,12,21),(22,16,21),(22,12,29)We kow…

Q: Green's Theorem (a) State the Green theorem in the plane. (b) Express part (a) in vector notation.

A: We have to do A and B.

Q: True or False

A: to write down that the given differential equation is true or false

Q: lim ln x x-0

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Q: du Which of the following is the general solution of dx = -xu² ? 2+xu²

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Q: 2x² +1 lim x2 3x-2

A: limx->a f(x)=f(a)

Q: 2) Is the discontinuity x = 0 for the function f removeable or non removeable. Fully justify your…

A: We need to explain removable or non removable continuity at x=0.

Q: A Suppose f and g are the integrating factors for xy' + 2y = x and xy' - 2y = x, respectively. What…

A: Let's find multiplication of factors of given differential equation.

Q: 4x + 1 4x² + 1 Find f'(x), and then evaluate ƒ' at x = 2. f(x) =

A: f(x)=4x+14x2+1

Q: 31. Temperature readings T (in °C) were recorded every two hours from midnight to 2:00 PM in Atlanta…

A: Given data, t 0 2 4 6 8 10 12 14 T 23 21 20 19 21 26 28 30

Q: Price(q) = 10300 * 0.780.119 +0.119². Find the quantity that minimizes price

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Q: 2. The path taken by a particle is a horizontal line as it moves according to the law s=1/1² - 1² =…

A: Given  s = 16t4 - 76t3 - 7t2 + 12t + 1.

Q: The carbon monoxide level in a city is predicted to be 0.02x3/2 + 1 ppm (parts per million), where x…

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Q: dx 2. Evaluate the improper integral S Why is it an improper integral? (x − 1)² 3. Find the arc…

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Q: Let _ƒ'(x) = f(x) = (–9x² − 7)³(-9x² + 2)-¹2 -

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Q: (3) Evaluate showing all steps the definite integral ₁ (1 - 1²)-¹/² dt.

A: Answer (3) We have to Evaluate the definite integral  ∫01(1-t2)-1/2dt

Q: estimated

A: Given: P(t) = 13.86t0.535 Where, P(t) = percent of the population t = time in year since 2011

Q: The graph of y = f(x) is shown below. Provide your answer below: -7-6-5-4-3-2- 1 2 Draw the graph of…

A: Given query is to find the graph after transformation.

Q: QUESTION 3 Evaluate 10 e' dx 4+² In(14 + ²) + C In(14+ ²) + C Sartan 1/²+c +C 2 are tan ₂ +C

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Q: A company's cost function is C(x)=√√9x² + 1600 dollars, where x is the number of units. Find the…

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Q: 7. Approximate (3.04)3³ using a linear approximation.

A: approximate (3.04)3 using linear approximation

Q: A B Which of the following is an integrating factor for ydx-xdy = 0 ? X

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Q: oblem 8. (a) [e² sin (r) (b) [ (x+3) ln (x) (c) [²* (In (2))² da dx Calculate each of the following…

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Q: x³-1 lim x+1√√x-1

A: The limit is given by limx→1x3-1x-1 To evaluate: The value of the limit using table.

Q: 3 S(2²=-1) ³ x dx

A: Given query is to find the integral.

Q: Please show all work on this page. 1. A point moves along the curve y = 2x² - 1 in such a way that…

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Q: For questions 1 – 2, let f be the function defined as you see below: f(x) = { x² +kx-2 3x² + 4x+3 x³…

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