2² + y° = 1 = 2' - y %3| = z + y? = 1 +E z = I +y ² + y² + z² = 1 = 2° + y? circular cone sphere hyperbolic paraboloid (saddle) paraboloid circular cylinder plane

Q: Select the answer option that corresponds with polar coordinates (-1,–210\degree). 90° 2 4 -7…

A: given polar coordinate (-1, -2100)

Q: dy Find dx for y=xJ csct dt. | dt +|(Type expressions using t and x as the variables.)

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Q: 4. Ln=1 By the series test: 3n-2

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Q: 2" is convergent. The series 2 n=1 h+1

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Q: Find the differential equation corresponding to the family (x + a)? + 2y? = a?, where 'a' is the…

A: To find differential equation.

Q: True or False: For the shell method V = T p (x) h (x) dæ False, this is the disc/washer method True,…

A: This question is based on shell method.

Q: Simplify cot(2 arctan 6). -35/37 -35/12 -1/6

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Q: Solve the initial value problem  y" + 8y' + 25y = 0 ; y(0) = 1, y'(0) = 2

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Q: Q2/ Find S*(4 – 3x) sinx dx -

A: Given: I=∫0π/44-3xsinxdx   As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And…

Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: Find the Cartesian coordinates of the point (−√2,(5π)/4)

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Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: 4.1 Consider the three permutations in S6: 1 2 3 4 5 6 4 5 6 2) 3 1 1 2 3 4 5 136 5 2 4 1 2 3 4 5 S…

A: Given

Q: Use the integral test to test the series 2 3+5n n =0

A: Series ∑n=0∞ 23+5nWe need to apply integral test.

Q: ,2 Which of the following is true for the series e1/n n=1 Select one: O Converges to 0 O None of the…

A: We need to find the convergence of series  ∑n=1∞ e1n2

Q: 3. Ση-1 -1/m By the e n2 series test:

A: We will solve this problem by Abel's test for series

Q: Simplify tan(arccot0).   undefined 0 pi/2

A: Topic = Trigonometry

Q: If f(x) = 2x + 3 and g(x) = 3/x, find f(g(x)) and g(f(x)). f(g(x)) = g(f(x)) =

A:

Q: Consider a triangle ABC like the one below. Suppose that c=48, b=73, and C=30°. (The figure is not…

A:

Q: iut n=1 Find the radius R of convergence for the series

A: Just use the formula of Radius of convergence and find it. Radius of Convergences, R= 1

Q: Solve (x2 + 1) + 2xy = dy 2 dx x²+1

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Q: Simplify tan( arccos ). V3 O1 V3/3

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Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: A fence is to be used to entirely enclose a rectangular plot of land with an area at 1600 ft.² It…

A: To show that a 40ft by 40ft rectangle will require the least amount of fencing to enclose the given…

Q: 4 The line y= -Lx+3 has a perpendicu lar which fangent to the graph of y= (x²-2) (2x+k) at x=-l,…

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Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: Given: fx,y=x2+y2 The constraint equation is: gx,y=x+2y-20

Q: I"f'(x) 0. then which of the following is true? o f(x) is increasing and concave up o f(x) is…

A: If f'(x) < 0 and f''(x) > 0 Then , which of the following statement is true

Q: find the indefinite integral of (3lnx)/x dx

A:

Q: S x²(csc2x³)(cot2x³)dx

A: Given problem:- ∫ x2 (csc(2x3) (cot(2x3) dx

Q: Evaluate the double integral // fO f(r, 0) dA. T/6 (4 r2 sin(0) cos(0) dr de Sketch the region R.

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Q: Consider the curve y = 4x3. The sketch of the portion of this curve between x = – 1 and x = 8 is…

A: Arc length formula:L=∫ab1+dydx2 dxy=4 x23dydx=423 x-13dydx=83 x-13

Q: Two models, R, = 7.21+0.62t and R, = 7.21+0.47t, are given for revenue (in billions of dollars per…

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Q: Evaluate the iterated integral by converting to polar coordinates. (x² + y?)3/2 dy dx dr de = Jo

A: Follow the procedure given below.

Q: cos³ x .3 S dx 1+ sinx

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Q: Solve the following differential equations of (у-ху)dx + хdy %3D0

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Q: The one-to-one functions g and h are defined as follows. g= {(-7, 1), (-6, -5), (-5, 6), (8, 5)}…

A: Given problem:- The one-to-one functions g and h are defined as follows.   g={(-7, 1), (-6, -5),…

Q: 1+3" 5. E 00 By the series test: n=1 2.

A: By Ratio test the given series diverges. Now, what the Ratio test is Suppose we have the series ∑an.…

Q: se Exact Differential method (Rule II) to solve : x² – y²)dy = xy dx.

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Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

A: We have to find the centroid coordinates.

Q: Select the answer option that corresponds with polar coordinates (3, –150\degree). so 90° WIN 45° 7…

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Q: Use the properties of logarithms to expand the following expression. 5 3 2 Each logarithm should…

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Q: 14 Approximate (x - 4) dx using 4 rectangles. It is approximatley (If necessary, round to two…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: Given;  Minimize :(x, y) =x2+y2 Constraint: x+2y-20=0.

Q: The range of the function f(x,y) =16-4x-9y is equal to. [0,1] [0, 16[ This option O This option [0.…

A:

Q: Españe Find an equation of the ellipse that has center (-1, 2), a minor axis of length 2, and a…

A:

Q: 2х x-1 lim X-3 6- 2х

A: Solving the problem by finding the value of the limit.   NOTE :: As per our Expert guidelines we are…

Q: Part 1: Let h be the height of AWXY. Find the length of the corresponding base. | cm 14 cm Part 2:…

A: Part 1  as h is height  base is WY length of base = 14 cm

Q: Find the vector projv u if v= 5i +jand u = 2i+V17/

A: Use vector projection formula and dot product.