Let g(x, y, z) = %3D Vx? +yZ +zZ Let 3 ターx? V9-x2-z2 V9-x2J9-x2_ ,29(x, y, z) dy dz dx

Q: (3) Find the position function of the particle at time t ≥0. a(t) = 3t −14, v(2) = 0, s(−1) = 2

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Q: Convert the equation r = 4 sec (0) from polar coordinates to rectangular coordinates. (Express…

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Q: Solve for ∂w/∂y and ∂w/∂x w=(x-y)/(x+y)

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Q: Solve the following differential equation:   y′′+9y=0; y=3,y′=3 at x=π/3

A: Given y''+9y=0; y=0, y'=3 at x=π3 To find the Solution:

Q: (-1)" Given: In(1 + x) = En=0' tu+1 if |x| < 1. n+1 1. Find the Maclaurin series for f(x) =…

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Q: 4. x - 3

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Q: Find the area of the following triangle, OA= 40 OA=80/3 O A= 80 O A= 40/3 RI TH

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Q: Let B and F be the following matrices. 3 -1 7 6 2 0 B = -9 -4 -10 9 -3 5 -9 -1 7 2 F = –10 0 -9 -5…

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Q: What is the slope of the line 0 = T? (Use decimal notation. Give your answer to three decimal…

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Q: Let B and F be the following matrices. 7 -10 -3 6 -5 4 B= - 10 8 4 -1 -1 6 7 -3 F = -2 -10 -9 6 7 10…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. хуz %3D 10, (1, 2, 5)…

A: Given:  a)   The equation of surface is   F(x, y, z) = xyz – 10 = 0   given point =1,2,5 On…

Q: QUESTION 2 If a company has a monthly fixed cost of $24,000 and variable cost of $5 each to produce…

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Q: Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.…

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Q: You have $7000 to invest for seven years. Which investment will provide the greater return:  5%…

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Q: (a) Determine the height h of the tooth (i.e., the maximum value of y(x)). (b) Determine the…

A: According to Bartleby's policy we are allowed to solve only 3 subparts of a question. Apologies for…

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Does the following series converge or diverge? 7 Σ n=1 en-1 O The series diverges. O The series…

A: Ratio Test: Let ∑n=1∞un be a series and limn→∞un+1un=L , a real number Then this series converges if…

Q: Differentiate Derivative of Derivative Differentiation Outer of Inner Function Function 1. y =…

A: As you mentioned 2,3 and 4 solved

Q: n=1 Vn+1 yn +2 Determine if the series converges or diverges. If the series converges, find its sum.…

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Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z = -13. Find the following. 1. The cosine of the…

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Q: Find the vector component of v = (4, -1,7) along b = (2, 3, –6) and the vector component of v…

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Q: 9. Scot?xdx 10. S(sinu + u)du

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Q: Mw.3 Find Ih arcon regian for the ollowwg Regian bomdel.by.y=x- Y= and S=2

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Q: (-1)" Given: In(1+ x) Σ if |a| < 1. n + 1 n=0 3. Use the third degree Maclaurin polynomial of f to…

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Q: Find the gradient of the function at the given point. g(x, y) = 11xe/x, (4,0) Vg(4, 0) =

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Q: Direction: Determine the Inverse Laplace Transform of the functions by reduction to partial…

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Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z…

A: To Find : Equation of plane passing through (-3,8,-8) that is perpendicular to the plane7x-y+z=2 and…

Q: ors in 2-space that make an angle of 45° with answers in terms of i,j and k.

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Q: 5- sin n est the series for convergence or divergence. En=1

A: Given query is to find series converges or diverges.

Q: Evaluate the line integral Ĥ. dř where Ĥ = e" î + [xe" + In(2)] ĵ + º Â and the curve C is defined…

A: Given problem:-

Q: Determine the general equation of the plane Ω passing through the point P(1,−4,−5) and parallel to…

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Q: In an insect colony, there are 290 insects after 6 days. If there were initially 80 insects, how…

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Q: Solve the system. 4x + 4y - z = 38 x+ 6y + 2z = 19 4x + y +z = 39 O A. {(9,2,1)} O B. {(-9,1,18)} O…

A: 4x+4y-z=38→(1)x+6y+2z=19Multiply above equation with 44×(x+6y+2z)=19×44x+24y+8z=76→(2)and now given…

Q: Which method/s can be used to find the volume of solid of revolution of the following? (Choose from:…

A: Given problem:-   Volume of Region bounded by y = x², x=0 and y=15, rotated about the y-axis

Q: 1. Find the interval and radius of convergence for (x-2)" 1. Find the interval and radius of…

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Q: x* + 3x? + 1) dx 5. 2e*dx 6. S(2e*+4*)dx 4.

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Q: y' + y = sin x.

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: dx Evaluate: + 4 V9x2 + 4 + 2 - In 4 f (x) = +C 3.x 9x² + 4 + 2 + C B f (x) = -2 ln V 3x 1 V9x2 + 4…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 3" Σ 2. Use a direct comparison to test the convergence of 4" +n

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Q: Find the derivative: y = (3x² – 2x) Væ5 – 2x + 2 27 –14a5 –30z² +36x –8 2y5 -2x+2 dy %3D dæ 27+15* –…

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Q: Find the gradient of the function at the given point. In(x2 – y) – 9, (3, 8) z = Vz(3, 8) =

A: use partial derivative for finding the gradient.

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

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Q: 3. (Section 4.1) Evaluate each indefinite integral. (a) /202 (b) /(3e* + 2)dr 4x (c) / (182² + 6x +…

A: We have to solve in image

Q: 2. Determine whether each of the following series is Convergent or Divergent by using the Direct…

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Q: Test the series for convergence or divergence. -1 sin? n n+ 37

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Q: evaluate the following integrals

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