Express the following integral as a double integral in polar coordinates 1 Suvaldy x² + y² dy dr

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A: Given AB = 3km,BD = 10km.

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Q: I ||

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A: The given expression is

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Q: A stone was dropped off a cliff and hit the ground with a speed of 152 ft/s. What is the height of…

A: A stone was dropped off a cliff and hit the ground at a speed of 152 ft/s.

Q: (16)(20)+(8) (32)=

A: The given expression is

Q: Find the total area of the shaded regions enclosed by y = 3x³ – x² – 11x and y = − x² +> - X.

A: The intersection points are (-2,-6),(0,0),(2,-2)

Q: Can you explain how you calculated the partial derivative with respect to s?

A: The total derivative of function  of two variable  is,

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A: Consider the function

Q: Evaluate the following definite integral. Jo 0 F|+ ㅠ 4 3 sin x + 2 cos xd

A: The Sum Rule:The Constant Coefficient Rule:, where is the constant.And use the common integrals:

Q: (Technology Permitted) The velocity of a moving object is given by v(t)=√√2t+20-3sin(3t) — 4 ft/mn.…

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Q: Which of the following are true about the function f(r) = 24? 1 f(r) is an odd function. II f(x) has…

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Q: Find the minimum of f(x,y) = 2x2+3y2 subject to x2+y2=4.

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Q: Find the partial derivatives of the function 뚝뚝층 _w = V2 + 182 + 2t2

A: The Power Rule:The Chain Rule:

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A: given triangle ABC

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A: Given that n = the set of ordered pairs does not represent a functionf = the set of ordered pairs…

Q: Let T be a linear transformation induced by the matrix A = Find the matrix of T-¹.

A: The given matrix is,A=(4−32−2)Find the determinant of the matrix…

Q: For each power series below, find the radius of convergence, R. Στχή : R = 0.5 n=0 X

A: Consider the series

Q: (a) lim (ln(5x³ + 4) — ln(x³ + x + 7)) x→∞

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

Q: Substitution in the Definite Integral S Suppose we want to evaluate the definite integral, H -6…

A: ∫3 5 (- 6) / (9x + 6) 2 dxWe make the substitution u = 9x + 6 As beforedu = (du/dx) dxAnd so, with u…

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of -x² + 8x between x = 1 and…

A: By using the Fundamental Theorem of Calculus to find the "area under curve" of  between .

Q: Find all exact solutions on the interval 0 < 0 < 2. If there is more than one answer, enter them as…

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Q: The figure shows the position versus time curve for an ant that moves along a narrow vertical pipe,…

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Q: 3. Find the inverse function for f(x) = x-1 3x+1

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Q: (b) O Σ -1/2-²0 6 n=1 Sn Sn 10 4 n Sn 7.8749 2 4 5 n 6 X .... 6 8 7.8750 ... 8 10 10 10 X Sn Sn 3-…

A: Given series

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Q: A rainstorm increased the amount of water stored in State J reservoirs from 124 billion gallons to…

A: The objective of the question is to find out how many billion gallons of water were the reservoirs…

Q: 4. Solve the following linear systems. 21 + 2x2 2x1 + x1 (a). - 22 x2 x3 3 + 24 = 4 x4 1 + x3 +

A: The system Ax=b is,The augmented matrix is,The reduced system is,The general solution is,

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Q: Verify the product law for differentiation, (AB)' = A'B + AB' where A(t) = B(t) = 1-t 1+t 41² 21³ 2t…

A: Product Law for differentiation, (AB)' = A'B + AB'.

Q: Use symmetry to evaluate the following 12. 1200 2x³ 2x5 dx

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Q: x sin x 10 dx

A: Consider the integral

Q: R(r) = 27x² +41x 2x+2 Suppose a company's revenue function (in dollars) is where is the number of…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: A car travels down a highway at 25 m/s. An observer stands 250 m from the highway. (a) How fast…

A: Given that,speed of car = 25 m/sand observer distance = 250m

Q: Find 3838 Əw Əv Əw - Əv y when u = 0, v = 0 if w=x² + −, x=3u - 6v + 1, y = 6u +3v - 3. |u= 0, v = 0…

A: Find

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A: We have given a trigonometric equation .We have to find the solutions on the interval .As we know…

Q: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of…

A: Degree = 5 2 is a zero of multiplicity 3−2 is the only other zeroleading coefficient is 3.

Q: Evaluate the line integral L = = √ [a²y dx + (x² − y²) dy] over the given curves C' where (A) C is…

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Q: needed, enter the values as a simplified fraction. (Examples: 1/2, -14/3) any operation is undefined…

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Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [xe 3x…

A: Green's theorem:

Q: and g(x)=x+9, what is the rule and domain for 7X)? Only one item from the answer bank will be used…

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Q: Find the values of x so that the series below converges. Give your answer in interval notation. n=0…

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Q: Suppose you are given a triangle with Then a = degrees, and C = degrees. Enter your answers with two…

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Q: 49. Sigma notation Evaluate the following expressions. 10 Σκ k k=1 6 b. Σ (2k + 1) k=1 4 a. C. k2…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…