188. 2 -1 1 S f f x + y dx dy dz Z 1-20

Q: Find the slope of the tangent line to the curve 4x2-4xy +4y3=32  at the point (2,2)

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Q: Water is pouring into a container at a rate given by 7;(t)=1³ (5) hour and water is pouring out of…

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Q: Evaluate the double integral cos √x² + y²dA, where D is the disc with center the origin and radius…

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Q: Problem 8. rπ/3 Evaluate the iterated integral *** cos(x+y+z) dzdxdy. Answer:

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

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Q: Find the area of the region bounded by the three lines below. [Hint: You will have to split up the…

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Q: Test the series below for convergence using the Root Test. 2n +5 5n+1 The limit of the root test…

A: The given series .We have to check the convergence of the series using the root test.

Q: find the derivate a. * or b ㅋ

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Q: Determine the particular solution of the given differential equation: find a solution of the…

A: As per the company's guidelines we are supposed to solve first question for you, kindly repost other…

Q: Determine the x- and y-coordinates of the centroid of the shaded area. Assume a = 8 in., b = 10 in.…

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Q: Evaluate the triple integral of f(x, y, z) = z(x² + y² + z²)−3/2 over the part of the ball x² + y² +…

A: f(x, y, z) = z(x2 + y2 +z2)-3/2.We evaluate the triple integral.

Q: Let R be the region of the x-yplane bounded by x=0, y=0, x=2 and y=x^2. (a) Sketch a picture of…

A: The region R is bounded by and .We have to sketch the region R and find the volume of the solid by…

Q: e function. (Enter your answer using interval -x²

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Q: If an area is made up of common shapes (e.g. rectangles, triangles, circles, etc.) to determine its…

A: If an area is made up of common shapes (e.g. rectangles, triangles, circles, etc.) to determine its…

Q: 2 Find the flux and circulation of the field F = xi - yj across and around the circle r(t) = acost i…

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Q: Find the Jacobian. a(x,y,z) = a(s,t,u) d(x,y,z) a(s,t,u)' where x = s - 3t+u,y=s+t − 5u, z = s + 3t…

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Q: Given the series n=1 11" n | | an+1 an find the ratio

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Q: a) b) Curve C has equation y = tan³x - cos²x. Find the equation of the tangent to curve C when x =…

A: solution are given below

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Consider the function with the graph shown below. f(t) 4 Select the option that best describes this…

A: we have given graph of a function from which we need to find out that is function is even or odd or…

Q: 1-56 Evaluate the integral. 1. f sin³x cos²x dx 3. f/2 cos³x sin³x dx 5. sin³ (21) cos² (21) dt S 7.…

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Q: Test the series below for convergence using the Ratio Test. 7″ n! The limit of the ratio test…

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Q: Find the flux of the vector field V(x, y, z) = 5xy²i + 3x²yj + z³k out of the unit sphere.

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Q: What is the exact value of sin 7 t

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Q: or divergence of the series using any appropriate test from this chapter. Id eries Test ries Test…

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Q: Part IV: Review Problem for Final (do if you have time or at home) 11. Let r= 6cos (50). Find the…

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Q: y = e²x + 5 (In 3, 14) (In 27,0) x LIN Figure 1 Figure 1 shows the curve y = e²x + 5 and line 1…

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Q: • find the equation of the tangent live T(x), to the graph of the giller fenction at the indecated…

A: y= 2√x +1We have to find equation of tangent line at point (4,5)

Q: The graph of y = g(x) is shown below. At which point is g"< g'< g? A с D

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Q: Find the area of the region bounded above by y = x + 2 and below by y * -4 -2 0 2 4 -2- x²

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Q: The rectangle shown below has vertices of open parentheses 0 comma space O close parentheses comma…

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Q: 15. 5² dx (x² - 1)3/2 1/2 17. ²x√1 - 4x² dx 19. f √ √ x 21. fºx² √a² — x² dx 23. f √x²-9 29. J S X…

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Q: find f(x) and a lim [3(2+h) ³+27-14 h=0 h

A: find f(x) and a :use the formula , limit definition of derivative :

Q: Find the volume of the parallelepiped determined by vectors a, b and c. a =,b=,c=

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Q: lim Problem.6. Evaluate 8118 work. (x+2)(2x-6) (x-3)(5x+1) . Show all

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Q: calculus medium, please solve questionnnn 16

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Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A: We need to check the convergence of the given series using the integral test for the integral:This…

Q: c) If -3x5 + x + 4y² - 7y = 13, find da in terms of x and y.

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Q: Use cylindrical coordinates to calculate SSSw f(x, y, z) dV for the given function and region: f(x,…

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Q: Determine whether the equation defines y as a linear function of x. 3x + 2y 6 = 0 Yes y = No If so,…

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Q: Confirm that the integral test can be applied to the series. Then use the integral Test to determine…

A: Given that,         Since, is a posiitve and decreasing sequence. Therefore, the intergral test can…

Q: Suppose that interest on money in the bank accumulates at an annual rate of 5% per year compounded…

A: To solve this problem, we can use the continuous compound interest formula:A = P * e^(rt),where:A is…

Q: Spending on Corrections in the 1990s   The following table shows the annual spending by all states…

A: NOTE: Refresh your page if you can't see any equations..The given table is,year(t)02467Spending ($…

Q: Find the area between the curve of y ਆਗੂਆਂ 2 4 = zæ + 2 and the x-axis on the interval [-2, 1].

A: Given that , Now we want to find the area between the curve and the axis  on the interval .

Q: af ?x of ду = = af * \f f(x, y) = C(xy)", with \xy| < 1, find and af = : ду n=0 #

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Q: Find the power series solution of the differential equation 2ty"+y+ty=0 at its regular-singular…

A: Given differential equation is 2ty"+y'+ty =0

Q: 9. Given the best fit line as: y = 0.634x+64.945. a)Calculate the residuals for the points in the…

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Q: dt dy - x = 0 + 16y=0 when t=0, x-3 x = = y = -2 & y'= -1 when x

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Q: A toy race car travels along a circular race track that has a radius 19 meters long. The race car…

A: Let's draw the figure.x is the distance from track center to east.y is the distance from track…

Q: Following the steps below, use logarithmic differentiation to determine the derivative of the…

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