Find the error and solve correctly. Determine whether the sequence converges or diverges. How do you know if it converges or diverges? 1+5+25+...

Q: 11. The position of an object subject to uniform circular motion around the origin is given by (see…

A: The position vector is given by: r(t)=Rcosωtsinωt

Q: 1= find the volume of the solid of revolution. 4-x=(y-2)² 3 2

A: The given curve is: 4-x=(y-2)2

Q: Compute the simple interest INT for the specified length of time and the future value FV at the end…

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Q: 10. Find the Taylor polynomials P3 and P4 centered at a = 0 for f(x) = (1 + x) −³.

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Q: In the function f(x) = 5(x²+4)³, the expression x² + 4 is the inside of the composition. For each of…

A: a) g(x)=sqrt(8x+5) b) h(x)=8e5x c) k(x)=8 ln(5x2+8x)

Q: Consider the graph below of the function F(x)   Find f-1(2)

A: Given, the graph of y=f(x).

Q: 2xy lim along two different paths. No decimal entries allowed... (z,y) → (0,0) 14x² + y² Find the…

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Q: Although it is not defined on all of space R³, the field associated with the line integral below is…

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Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) 5xªy…

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Q: a) f(x) = -2x² + 3x-1 b) g(x)=- 1 3x c) h(x) = -2e* d) p(x) = cos x + T

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Q: Figure 3 Figure 3 shows the curve y = x² - 2x which crosses the x - axis at the origin and at (2,…

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Q: Find the mass and center of mass of the solid E with the given density p. E is the cube 0 ≤ x ≤ a, 0…

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Q: Evaluate the following definite integral. Express your answer in terms of logarithms. dx 2 1…

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Q: 3 Use the definition of the definite integral to evaluate (5x+1) dx. Use right Riemann sums and…

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Q: Find the area of the region. 4 V X y = y 10 4 3 2 1 2 3 4 5 6 7 8 9 101112131415161718 X

A: The function is given by y = 4x The raph of the function is To determine: The area of the shaded…

Q: If sinh x = 20 99 3 find cosh x, tanh x, coth x, sech x, and csch x. Given that sinh x = cosh x = 20…

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Q: The general antiderivative of the function f(x) = 2t² √t- - 3 4√t

A: The function is given as  f(x)=2t2t-34t.Simplify the expression.f(x)=2t52-34t-12

Q: 3. Let f(t) be a continuous function defined for t with 0 < t < 8.5. (8 pts) Approximate the…

A: The integral, I = ∫242 f(2t)dt x = 2tdx = 2dtAt t = 2, x = 4At t = 4, x = 8 I = ∫48f(x)dx

Q: Let f(x,y) = 2x³ + 6xy-3y2 +2. Then the critical points of fare: a. (0,0) and (-1,-1) 6. (1,0) and…

A: The given function fx, y=2x3+6xy-3y2+2. We have to find the critical points of the function.

Q: has two solutions. The smaller is 22x5×2x+6=0 and the larger is

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Q: Looking for someone to verify my problem solving. I graphed a region bound by y=1 and y=x^3. If I…

A: The given region is bounded by the curves:y=1    and    y=x3

Q: Use curl to determine whether the vector field (5xy, x² + 5y³z, y) is conservative. = (a) Find curl…

A: Given

Q: Question 6 Line ₁ has equation y = 3x + 8 Line 2 has equation y = -7 - 2x Lines ₁ and 2 intersect at…

A: We are given: That the lines l1: y=3x+8   andl2: y=-7-2xintersect at point C and we need to find the…

Q: Estimate the integral Väda using a left-hand sum and a right-hand sum with n = 3 subdivisions. NOTE:…

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Q: 37. 4 In xdx, M10 2- 1

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Q: Complete the following table by indicating the secant slopes joining the points whose abscissas are…

A: The secant line is the line that cuts the curve at two points. f(x) = 2x2 - 1 If a line passes…

Q: (2) Let R be the region enclosed by the curves y = x² - 2x and y = x+4. (Note: one of these curves…

A: The given curves are: y=x2-2x       and      y=x+4

Q: Find the demand function x = f(p) that satisfies the initial conditions. 600 (0.04p - 1)3' X = dx dp…

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Q: 4) You drop a basketball from a height of 20 feet from the roof of a building, and let it fall and…

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Q: Select the correct choice below and fill in any answer boxes within your choice. OA. There are local…

A: Given function  f(x,y)= x2 + xy + y2 + 2x - 5y + 4

Q: Find a function f that satisfies the initial conditions, f"(x) = x², f'(0) = 9, f(0) = 7 I f(x) =

A: f''( x ) = x2f'( 0 ) = 9 f( 0 ) = 7

Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

A: Minimize c = x + y subject to x + 9y ≥ 10 9x + y ≥ 10 x ≥ 0, y ≥ 0.

Q: 1. provided. (a) Evaluate each indefinite integral using integration by parts, u and du are free di…

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Q: Where did you get the pi/4 from?, I'm having trouble understanding how you found the integral for…

A: We have to tell how to get the integral limit π4≤θ≤π2

Q: Find the line integral along the path C shown in the figure on the right. [(x² + y²) dy (2,3) 1.f…

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Q: Find the mass and center of mass of the triangular lamina with vertices (0, 0), (0, 3), and (3, 3)…

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Q: evaluate the integral.

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Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = logg(12 - 4x)

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Q: A particle moves in the coordinate plane with position vector (x(t), y(t)) such that x(t) = t² - (t)…

A: Note : Since you have posted a question with multiple subparts, we will provide the solution only to…

Q: Find the solution of the following initial value problem. 1 1 3 v'(x) = 8x - 8x ; v(8)=52, x>0 The…

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Q: f(x,y)=x² + y²-3x+7. Then the critical points of fare: a. (1,0) and (1,1) b. (1,0) and (-1,0) c. (0,…

A: fx,y=x3+y2-3x+7

Q: 26586=1

A: To find out the solutions of the given trigonometric equation.

Q: 21. S' √.V² 0 X (x + 2y) dy dx

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Q: Bonus: Find the relative extreme values and saddlepoints (if any) of the function: F(x,y) = x² +…

A: F(x,y)=x2+2y2+2xy+2x+4y+5

Q: 69. Cost. A company manufactures mountain bikes. The re- search department produced the marginal…

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Q: 6 5 3 2

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Q: Textbook 1 5 2 1 -1 -2 2 I V = 2 3 22 5 ( Videos [+] The graph above shows the base of an object.…

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Q: he rate of change in revenue for Under Armour from 2004 through 2009 can be modeled by dR 284.653 dt…

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Q: iii) the polar equation r = cose is equivalent to x² + y² =

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Q: Use polar coordinates to find the volume of the given solid which is below the plane x+2y+z=5 and…

A: The region bounded by below the plane x+2y=z=5 and above the disk x2+y2≤4