Find ¹ (3x + 5y)dA where D = {(x, y) | x² + y² ≤ 16, x ≥ 0}

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Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = x1 + x4…

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Q: 27. § (x² + 1)(x³ + 3x)² dx

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Q: Consider the region below f(x) = (12 − x), above the x-axis, and between x = and x = 12. Let x; be…

A: Given: fx=12-xThe region is below fx=12-x, above the x axis and between x=0 to x=12.We need to find…

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Q: 14. What is the average value of the function f(x) = cos²(x) on the interval [0, πT] (a) (b) 1 || 2π…

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Q: Evaluate the definite integral (1+√4-2²) L dx.

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Q: Evaluate the following integral in spherical coordinates. √ffe (²+y - (x² + y² +2²) 312 D dV; D is a…

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Q: Solve the following relations for x and y, and compute the Jacobian J(u, v). u = 9xy, v = 3x x=y=…

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Q: 3.)  This is differential Calculus subject. A PARTICLE IS MOVING ALONG A HORIZONTAL LINE ACCORDING…

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Q: For the curve determine each of the following: Note: Use a negative for a shift to the left. y =…

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Q: Determine dP/dn for P(n,R,T,V) = nT/V O nR/V O-nRT/V² ORTIV nRT V

A: Given :- Pn,R,T,V=nRTV

Q: The initial population of a bacteria colony is observed to be 500 bacteria. The population shows a…

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Q: Sketch and calculate the area enclosed by the curves x + y = 4, x −y = 0, and y + 3x = 4.

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Q: 2. [1] Evaluate. d dx (a) [/sin¹ x dz] dx

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Q: Please double check answer. It is wrong or im not understanding the answer written

A: let do the integration here to find the antiderivative of a function.

Q: If what does the following integral equal? - 17 √ - 64 [6f(x) + 4g(x) − h(x)]dx = = - 17 [ - 64 f(x)…

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Q: 10) Test the series for convergence or divergence 7(-e) Use Divergence test identify the…

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Q: What are the polar coordinates of the point shown in the graph below? Answer with the standard polar…

A: Given query is to find polar coordinates of the point.

Q: Evaluate the following integral:4² - 10t - 1 dt O7714 O98/3 86/3 O 83/3

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Q: Lloyd is investigating how long his phone's battery lasts (in hours) for various brightness levels…

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Q: One hour after a dose of a milligrams of a drug Predamestane is administered to a person, the change…

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Q: Which of the following equations represents a parabola with vertex (5,2) and directrix y = - 2? (А)…

A: Let's find equation of parabola.

Q: Find an equation of the ellipse with the following characteristics, assuming the center is at the…

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Q: 4. Find the limits. a. lim (x²−1) ln(1-x² )

A: Find the limit using L hospital rule

Q: Find the interval in which the function given by y = 4x³ - 6x2 - 72x+30 is concaved downward. O A.…

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Q: 2x²y²-2 lim (x,y)-(1.1) xy-1

A: According to question,Given Limit,limx,y→1,12x2y2-2xy-1

Q: The marginal profit for a certain style of motorcycle helmet is given by P′(x)=37−0.19x dollars per…

A: To find the profit for the first 74 motorcycle helmets that are produced and sold.

Q: Find the limit. Use l'Hôpital's Rule if appropriate. To enter ∞o, type infinity with a lower case i.…

A: To calculate the limit limx→0+11xlnx.     As we know the Power law: ddxxn=nxn-1 And use the common…

Q: Find the indicated derivatives if A is a real number constant. a. dt In(t+2) 4t³ b. For y = A…

A: Note : As per rule I have to solve first 3 subparts.

Q: Express x = = 3t, y = tan¯¹ (t² + e*) in the form y = f(x) by eliminating the paramet y =

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Q: evaluate the integral. Ay 16- 0- NIX 2 y = 3x + + 02 4 6 X ... 10% dx 2

A: We have to setup the definite integral such that represents the area of the given region

Q: 11. Which of the following is equal to n Στα (4) COS n→∞ k=1 (a) lim n (e) Him (1+5) n-x k=1 (e) lim…

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Q: QUESTION 1 - Evaluate the following integral: 10r² + 81 − 8 dt 40 40/3 80 80/3 0

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Q: Find a formula for the general term a sub n of the sequence assuming the pattern of the first few…

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Q: Use an appropriate test to determine whether the series converges. M8 Σ k=1 k! 18kkk Select the…

A: The given series ∑k=1∞k!18kkk. We have to check the convergence of the series.

Q: t) A bucket of water of mass 20 kg is pulled at constant velocity up to a platform 30 meters above…

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Q: Find the volume of the solid bounded below by the circular paraboloid z = 2² + y² and above by the…

A: We can find the volume .

Q: On a blueprint of a house, the living room has dimensions of 3 inches by 5 inches. If the scale for…

A: Given, On a blueprint of a house, the living room has dimensions of 3 inches by 5 inches. If the…

Q: Use a definite integral to find the area under the curve between the given x-values. 1 f(x) = X from…

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Include a multiplication…

A: Given query is to find the integral.

Q: Use the exponential function y = 4 ex- 17 where k is a positive constant to answer the following…

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Q: dy Find dx if e¹=In(x) + ln(y) +e³

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Q: Give the general solution x" + 3x' - 4х q = O +

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is

Q: Use a definite integral to find the area under the curve between the given x-values. = 8e2x from x =…

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Q: Evaluate the line integral F. dr, where C is given by the vector function r(t). Jc F(x, y, z) = (x +…

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Q: X √1 + 2x 68. ·So- dx

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Q: QUESTION 10 For g(x)= x +3 state all intervals for which g is increasing/decreasing

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Q: T-= (0) ¹r7 = fixg + fi 2. Solve the IVP

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Q: Blood Pressure and Age A research group developed the following mathematical model relating systolic…

A: To solve the following problem