Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, у) Va2 - x2 - y2 R = {(x, y): x2 + y² < a²} 2na 3

Q: Show that la 1 1 1 a 1 - (а + 3)(а - 1)3. - 1)³. %3D 1 1 a 1 1 1 a

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Identify the range of arctan(x) so that the relation is a function. ) - TI< y< 7[ 00<y<

A: here range of arctan(x) is -π/2 to π/2 because if we put π/2 it give infinte value  so range…

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

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Q: Let y = sin(2x). If Aa 0.3 at a 0, use linear approximation to estimate Ay Ay = Find the percentage…

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Q: Find the volume of the solid that results when the region enclosed by the curves x = 1 – y² and æ =…

A: Let's find.

Q: Find the area enclosed by the curves f(x)=38−x^2 and g(x)=x^2.

A: Solving

Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z² = 26, (1,…

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Q: (c) Find a and b such that the following function is continuous at z= 1: (2² + a, z1.

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Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder r? + y? 64 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: a²+ax+b The curve Y has a local minimum at (3, 8). Determine the values of a and b. x-1

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Q: Evaluate: 5° (-0.45)'(-1)10+i 212- 3D1

A: The given expression is: ∑i=1∞-0.45i-110+i2i2-i We can rewrite this as: =∑i=1∞-0.45i-110+i2i2i…

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: r-3 = 3coso -6

A: Given that :.  r - 3 = 3cos(theta) First we change this polar equations in the form of Cartesian and…

Q: = [[[In(x² + y² )dxdydz

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Q: Determine whether the following series is convergent or divergente: 00 (-1)" 2-n4 +2

A: We can solve thus as follows:

Q: Find an equation of the tangent(s) to the curve with parametric equations x = 1 + √t, y = e^(t^2)…

A: Given parametric equation of curve x=1+t   y=et2we want to find equation of tangent at  ( 2, e)

Q: -The magnal cost of a produt is modeled by , uhen x-(5, C=40. Find the cost functon.

A: Given query is to find the cost function.

Q: Graph 1 Graph 2 Graph 3 24y 6. 4+ 4. + -8-6-4 4 6 -8 -6 4 4 6 2. -4+ -4- -6. -8 -8- OYes OYes ONo…

A: Given that -

Q: Find the deri votive e

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Q: QUESTION 1 Find the magnitude and direction of the vector acceleration when t=2 seconds for an…

A: Position vector:r(t)→ =t3, 1-t2Velocity vector:v(t)→ =r'(t)→ =3t2, -2tacceleration…

Q: x3 + 3x2 10. Then use the 1. Use a graphing utility to graph f(x) graph to determine the open…

A: We have given function y=x3+3x2-9x-10

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 6, Vf(4, 2) = eBook

A: A detailed solution is given below

Q: _9. Which of the following is equal to fo°dt? A. e C. ex+C D. et +C B. e° +C _10. What should be the…

A: Given data÷

Q: Determine whether the following series is convergent or divergente: (-1) " n7 +5 n= 1

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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: Find the volume of the solid generated when the region enclosed by y = Vx, y = 12 – x, and y = 0 is…

A: Follow the procedure given below.

Q: (5x – 6) (2а — 5) (ӕ — 3) 5х — 6 - Let f(x) = 2x2 11x + 15 - - 1) The domain in interval notation is…

A: As per Bartleby guidelines rule we have to answer only 3 sub-part of a question.

Q: Yoko and Dan are standing on a riverbank, 140 meters apart, at points A and B respectively. (See the…

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Q: ANSWER

A: We have to calculate the given indefinite integral according to the given information

Q: Rewrite the polar equation r = 2 sin(0) as a Cartesian equation.

A: A detailed solution is given below

Q: graph of the function "arccot(x)".

A: We have to draw the graph of the function "arccot(x)".

Q: For each problem, find the particular solution of the differential equation that satisfies the…

A: The given differential equation is: dydx=exy2 ; y-2=2e3+3e3e   As we know that; The Power rule:…

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

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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: Textbook Videos [+] Given the function below f(x) = V 196x + 539 Find the equation of the tangent…

A: The given function is  f(x)=(-196x3+539)1/3, At x=1.

Q: 4 n+ 2 is divergent. n=1 1+6n Select one: O True O False

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Q: An integral is given that can be evaluated using integration by parts. Write expressions for u, du,…

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Q: Find the gradient of the function at the given point. Function Point F(x, Y, z) = Vx + y² + z? (8,…

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Q: Consider f (x) and f" (x) = 40(x – 1)e-*, Determine all the following for the function. = 10xe -2x…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: (y + 1)dx + (4x - y)dy 0

A: Explanation of the answer is as follows

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

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Q: Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the…

A: Given: z=0z=x2x=0x=3y=0y=3

Q: Evaluate the line integral F dr where the vector field and the curve are defined as follows: F(x, y,…

A: Given problem:-

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

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Q: Consider the lines defined by the equations {3 : a – 3 = y – 5 = z – 6 and 4(s) = (-2 – 2s, –2s,6 –…

A: Given lines are: l3: x-3=y-5=z-6 l4→s: -2-2s, -2s, 6-2s   We compare l3: x-3=y-5=z-6 or l3:…

Q: Verify Green's Theorem by evaluating both integrals aN aM y2 dx + x2 dA ду ax for the given path. C:…

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Q: Find the area of the region enclosed by the rose r = 2 cos 30. NOTE: Enter the exact answer. A ||

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Q: 4. Find the absolute maximum and absolute minimum of the function f(x) = 3 sin(x) cos(x) over the…

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