Use the Divergence Theorem to find the surface integral F.ds across the positively- S oriented sphere of radius 3, S: x² + y² + z² = 9 where F(x, y, z) = (xy², yz ², x² z).

Q: . Use the Root Test to determine if the following series converges absolutely or diverges. 3 Σ n=1…

A: ∑n=1∞36n+7n

Q: 5. Determine, with justification, if [1,3,2], [4,0,1] and [-2,6,3] are coplanar. [3 A]

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Q: A piecewise function is given. Use the properties of limits to find the indicated limits, or state…

A: A piece-wise function is given. By using the properties of limits to find the indicated limits, or…

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A: We have to find the exact length of curve given. For this first lets draw the graph of r as -

Q: the derivative for:

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Q: 6 2 (0, 3) The graph of f(x) B) lim f(x) = = x→3+ C) f(3) = = 2 (3, 2) (3, 3.141) 2x² +3 sin(x) + 3…

A: fx=2x2+3x≤0sinx+30<x<3-2x+8x≥3 And Graph of function

Q: Find the Elasticity of Demand at a price of $28

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Q: A solid cylindrical cord of elastic material has length 32 inches and radius 0.5 inch. The cord is…

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Q: xdx So 0 (1 + x²)² 27.

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Q: 2. A spy uses a telescope to track a rocket launched vertically from a launch pad 6 km away as shown…

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Q: For the quadratic function f(x) = 7x² + 14x + 1, answer parts (a) through (c). Verify the resu…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: Consider,

Q: Find the 102nd term of: -8, -14, -20, ....

A: Solution

Q: 10. Solve the inequality (3-x)(2x+1) 2-1 >0 algebraically and graph the solution set.

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Q: b) Use the Mean Value Theorem to show that sin x 0.

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: SECTION EXERCISES 2.3 1. The average hourly wage paid to U.S. workers for selected years from 1970…

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Q: dy dx Find for the parametric curve c(t) = (t-¹ – 3t, 4t³) at the point t = 2. - (Use symbolic…

A: Given: Parametric curve c(t)=(t-1-3t,4t3) We are required to find: dydx at t=2

Q: ind a vector a with representation given by the directed line segment AB.

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Q: Find the derivative of each function. Do not simplify your answers a) g(x) = (3x¹ - 8) ln(x) b)…

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Q: Find the length of the curve correct to four decimal places. (Use your calculator to approximate the…

A: Find the length of the curve correct to four decimal places. (Use your calculator to approximate the…

Q: x-axis. x = find the area of the surface obtained by rotating the curve about the 1 (y² + 2)³/², 1 ≤…

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Q: 50 100 Ση Σ 51 Answer = n

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Q: Consider the given vector field. F(x, y, z) = xyz i-x²y k (a) Find the curl of the vector field.…

A: Given vector field F( x , y , z ) = xyzi - x2yk

Q: Solve the inequality algebraically. x3³ -5x² - 6x>0 List the intervals and sign in each interval.…

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Q: (a) Choose the appropriate substitution for a in terms of using the above (b) Determine dx in terms…

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Q: Enter if the sequence below is: Arithmetic, Geometric, or Neither: -5√5,25,-25√5,... Enter the next…

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Q: Use the first four nonzero terms of the binomial expansion for (16 — x) to find an approximate value…

A: We know ⇒1+xn=1+nx+nn-1x22!+nn-1n-2x33!+.....

Q: Use the graph of the function f to solve the inequality. (a) f(x) > 0 (b) f(x) ≤0 (a) The solution…

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Q: Question 2: Find the slope of the tangent line of the function y = 3x² - 4x² at the point x = 12…

A: The function is y=3x32-4x12  We need slope of the tangent line at x=12   Slope of the tangent line…

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = -3x+ 5 at…

A: given function is f(x)=-3x+5 at (-1,8)

Q: A particle moves along a horizontal line. Its position on the line in t seconds is given by s(t) =…

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Q: calculate the Taylor polynomials  T2  and T3 centered at  x=a  for the given function and value of…

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Q: In the following, let f and g be functions such that f' and g' are both continuous on [3, 6] and…

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Q: 3. Find the rate of change in the demand x of a product if the price is $2 and the demand function…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Use the graph of the function f to solve the inequality. (a) f(x) > 0 (b) f(x) ≤0 # x=3 Q C (a) The…

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Q: Find all values of x for which the series converges. (Enter your answer using interval notat n - 7…

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Q: Find the work done by the constant force F = 5i +2j - 3k in moving an object in the space on the…

A: 2. According to question,Given Force,F = 5 i + 2 j - 3 k,Given Points P1, 2, 3 and Q1, -1, 4

Q: Use the definition of continuity to determine whether f is continuous at a. 1 8) f(x)=- x2-7x a=-1…

A: Given, fx=1x2-7x To determine whether the function f(x) is continuous at x=-1

Q: nd an exponential regression curve for the data set.

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Q: For the function f(x)=14x³ -x, make a table of slopes of secant lines and make a conjecture about…

A: The function fx=14x3-x

Q: cep and indicate where tables were used in a step. No points will be given fo riting the answer. 2y"…

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Q: Suppose you use a tracking telescope to follow a rocket. Suppose you are also 2000 meters from the…

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Q: 1 3 2- 1 ܐ im O

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Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Nidi What is the…

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Q: A poster is with 210 in 2 bottom of the in inches arca of an arco at the margins 2 inch margins and…

A: The area of the poster is 210 sq inches. let the length and breadth of poster are x and y…

Q: Graph the polar curve r = Jo д - 4 - 2 sin 0 Select a curve and use the point(s) to adjust:

A: r=-4-2sinθ

Q: Let f(x) = (x²-4x+1 if x < 2 √x-2 if x ≥ 2 Sketch the graph of y = f(x). -8-7 -6 -5 -4 -3 2 Clear…

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Q: Set up, but do not evaluate, an integral for the length of the curve. osys112 π/2 62 ( x = 7 sin(y),…

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