Find SS₂ cos (x² + y²)dA where D = {(x, y) | 4 ≤ x² + y² ≤ 36} D

Q: The population of a bacteria doubles in 30 minutes. How many minutes will it take to make the…

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Q: Find the limit: 3x4 - 3¹ 3y4 lim (x,y) → (3,3) x² - y² ||

A: Find the limit

Q: S=4+² -2t³, t = -1

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Q: 1. Suppose that y is defined implicitly as a function of r by the following equation: 3y² + 2xy + x²…

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Q: dy Write the function in the form y = f(u) and u = g(x). Then find dx y=e4-7x Choose the correct…

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Q: 3 A line passes through the point (-8, -3) and has a slope of Write an equation in slope-intercept…

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Q: Express the following Cartesian coordinates in polar coordinates in two ways. (2,-2√3) Select all…

A: Given query is to find polar coordinates.

Q: etermine the interval(s) for which the function shown below is decreasing. y rovide your answer…

A: Given query is to find the interval where function is decreasing.

Q: A political scientist surveys 37 of the current 160 representatives in a state's legislature. What…

A: we need to write down the size of sample and size of population.

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: (a)   slope =dydxy=5x2+5,  point  (-5,130)dxndx=nxn-1

Q: Find the length of the curve. r(t) = 6i + t²j+t³k, 0≤t≤1

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Q: Given f(g(x)) = cos²x what is the outside function f (x) and the inside function ? g(x) so that the…

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Q: 2 A 2401 5t +13 e that an automobile's velocity starting from rest is v(t) ation at 9 seconds. Round…

A: Given query is to find the acceleration at indicated point.

Q: Find the values of the trigonometric functions of 0 from the information given. tan(0) = -3, sin(0)…

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Q: Inverse Laplace transform, x-1| (8²+1) 1 (s²+1)(s-3) Select one: O True O False cos(t) 10 3sin(t) 10…

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Q: If f(x) = 3x² x = find -9, find a so that f'(x) = 0. 10x - 9, Preview

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Q: -10 -8. (a) domain: (b) -2 range: +8- 12 4 6 Write your answers as inequalities, using or y as…

A: Domain is the set of value of x for which function f(x) is defined. From graph, domain is the set of…

Q: Find the most general antiderivative. + dx .. O = + 2% + C O. 3/% + C + O 2•lk j + C 2-√√xx o c

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Q: 1 Find the slope of the crowe at given point P and an equation of the tangent line at P. y = 4-x²³,…

A: standard form of equation is y=mx+c,  where m is slope given point is  (-1,5)given  y=4-x3we know…

Q: Describe the relationship between the graph of f(x)=x²-8x + 19 and the graph of y=x². How can the…

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Q: 5) Evaluate the limit of the function f(x) -3x4+4x³+8 lim x→∞0 4x3-5x²+4x-3 -3x4+4x³+8 4x3-5x²+4x-3'…

A: To find the limit of given function

Q: Evaluate 9x 9 (2x - 3)(x + 3) T -dx +C

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Q: 8²ƒ f(x, y) = x¯¹ sin(x² * y), prove that equal: — x³ sin(x²y) дуг

A: We are prove the given

Q: You decide to quit using your credit card and want to pay off the balance of $7,400 in 5 years. Your…

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Q: 2 1 पीपीप -2 -4 The curve above is the graph of a sinusoidal function. It goes through the points…

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Q: Find the vectors T, N, and B at the given point. r(t) =   8 cos(t), 8 sin(t), 8 ln(cos(t))  ,…

A: The given vector is:r(t)=8 cos(t), 8 sin(t), 8 ln(cos t)and the given point is:  (8, 0, 0)Therefore…

Q: 6. f(x)=x+√1-x (1) Find the intervals on which f(x) is increasing or decreasing (2) Find the local…

A: first derivative

Q: = Find the volume of the parallelepiped determined by the vectors a c = (2, 3, 1). Volume =…

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Q: Suppose you are standing such that a 32-foot tree is directly between you and the sun. If you are…

A: we need to find the height.

Q: (3) Find the derivative of the following in terms of x and then find the second derivative. sec(y-x)…

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Q: Find the derivative. cot @ de cac²y dy 70/4 O csc² (cot 8) O csc² 0 cot 0 O-csc²0 csc² (cot 8)…

A: Given query is to find indicated derivative

Q: Find the most general antiderivative. [√t-√ dt

A: Recall the formula:∫tn=tn+1n+1+C

Q: Find a function of the form y = A sin(kx) + Cor y = Acos(kx) + C whose graph matches the function…

A: We have the given graph and y=Asinkx+Cy=Acoskx+C

Q: The rabbit population at the city park increases by 15% per year. If there are intially 164 rabbits…

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Q: Find the Taylor polynomials P₁,..., P5 centered at a=0 for f(x) = e*. D₁(x) = 1

A: iven f( x ) = e-xcentered at x = 0

Q: Volume generated by x² = 4y, y = 0, x = 4 and rotated with respect to the y axis.

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Q: On graph (A) draw a function that is continuous on [-2, 2]. On graph (B) draw a function that has an…

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Q: an = n(5 n²+1) n-3 n³

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

Q: Find the following limits. Show your work. x² + 3x lim a) x-4 x² - x - 12 lim b) x-0 tan(x) X

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Q: 13. Determine which of the following alternating series converge and which diverge. Justify your…

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Q: Find the area of a triangle PQR, where P = (1, 4, 4), Q = (2, 5, 6), and R = ( − 4, − 3, 5)

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Q: Consider the line that passes through the points (-4,4) and (13,9). a. Find the slope of the line.…

A: use the algebraic property of number.

Q: You would like to have $800,000 when you retire in 25 years. How much should you invest each quarter…

A: Given query is to find quarterly payment total amount deposited and interest earned.

Q: Write a polar equation of a conic with the focus at the origin and the given data. ellipse,…

A: As we know that polar equation is r( θ ) = ed1+ esinθGiven ( r , θ ) → ( 1 , π2 ) e = 0.1

Q: 2. Consider the region bounded by y= ln(x-1 -1), y=2-x and x = 4 (see the figure on the right). a.…

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Q: If 5 11 f(a)da = 9 then the average value of f(x) on the interval [5, 11] is 3/2. O True O False

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Q: 5) If the graph of f is concave upward on (a,b), then the graph of -f is concave downward on (a,b)…

A: True false

Q: If 15 11 O True f(x) dx = 9 then False 11 S." 5 3 f(x) dx = 27.

A:

Q: From a group of 8 people, you randomly select 5 of them. What is the probability that they are the 5…

A: given  group of 8 people randomly selected  5 of them

Q: a. Approximate the given quantity using Taylor polynomials with n = 3. b. Compute the absolute error…

A: We need to estimate value and find error.