State whether ths series converges absolutely, conditionally, or diverges

Q: The function f(x) 3x + 6x-1 has one local minimum and one local maximum. Algebraically use the…

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Q: path r(t) = (t)i + (t²-7) j describes motion on the parabola y=x²-7. Find the particle's velocity…

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Q: Which is equivalent to (2 sint cost)? dt

A: Let f(t)=2sin⁡tcos⁡tUsing double angle formula2sin⁡tcos⁡t=sin⁡(2t)

Q: Use a double integral to find the volume of the tetrahedron bounded by the coordinate planes and z =…

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Q: Plot 5x² +20x-1 showing all the transformations. Check out the vertex with the graph.

A: The given function .The aim is to sketch the graph of the function using the transformation.

Q: Το test the series Σ for convergence, you can use √k² k=1 the P-test. (You could also use the…

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Q: A measure of the adhesiveness of honey can be modeled as f(x, y) = −125.48 + 4.26x + 4.85y − 0.05x2…

A: A measure of the adhesiveness of honey can be modeled aswhere,x is the percentage of glucose and…

Q: Use u- substitution to find the integrals: A.) integral x sqrt(x+1)dx B.) integral x e^(x^2)dx

A: A). B).

Q: 1 = (x + ¹)² + ²2(x + 1)² (2) Calculate the arc length of y = over the interval [1, 4].

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Q: Find both the vector equation and the parametric equations of the line through (3,1,2) that is…

A: Line is passing through the point : (3,1,2)

Q: 4) Let L1 be the line through the points (1, 2, 6) and (2, 4, 8). Let L2 be the line of intersection…

A: Line points  and and line  : intersection of the planes and calculate the distance between and .

Q: h(x) = (5x² + 3x + 7) e(9x+8) What is the "base" of the exponential expression ? 7e ○ (5x² + 3x + 7)…

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim (→ lim…

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Q: 3. Evaluate x³ + x 4. Find the area of the region in the polar coordinate system that is enclosed by…

A: Note:-As per your demand we solve question 4 for you.Given that the regioon bounde in the polar…

Q: Pls help ASAP and pls provide all steps and calculations

A: We have to comment on the graph given.

Q: Determine the interval(s) on which the following function is continuous. Then evaluate the given…

A: The given function .The aim is to find the continuous interval of the function and the given limit.

Q: 2. Find the work done by the force F = ei + (lnx)j +3zk, where force is measured in newtons, in…

A: The given force ,where force is measured in newtons, in moving an object over the curve ,where…

Q: 3. Find the area of the region enclosed by the graphs a. y=3−x² and y= −2x b. y=x²-2x and y=x+4 und

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Q: Find Solution for log 2 8 * = -3 a) 1.0 b) 2.0 c) -1.0 d)-3.0 e) 1.5

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Q: Solve y(t)= dy dt = 4(y - 9), y(0) = 4

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Q: 3 Let f(x)= x³ - 2x+: Calculate by definition f'(1). X

A: given function to find the derivative

Q: roximate f by a Taylor polynomial with degree n at the numbe Talor’s Inequality to estimate the…

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Q: (b) Determine whether the sequence converges or diverges. If the sequence appears to converge, find…

A: we have given sequence

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 8 Σ (−1)n…

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Q: Consider the function f defined by the formula [ Ae*-² + cx- 3c f(x) = x³ + cx² + B if x < 2, if x ≥…

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: Find all vertical asymptotes of the following function. f(x) = 2x + 10 x² - 16

A: To find all vertical asymptotes of the following function.

Q: I plugged it in to my assignment and for cos(a-b) it says it's a -4 and not a +4. But thank you so…

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Q: Find the term a1 of the geometric sequence from the given information. 4 256 25 5 a5 = A) -20 B) -25…

A: Given,

Q: (-12,433,817 55. Find the area of the triangle with vertices A = (2, 3, 1), B = (2, 3, 3) and C =…

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Q: Find the centroid of the region lying underneath the graph of the function over the given interval.…

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Q: Find the arc length of the following curve on the given interval. x = 7 sint - 7t cos t, y = 7 cost…

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Q: Find the area of the surface generated by revolving the curve about each given axis. x = 6t, y = 6t,…

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Q: 12. If a rocket is propelled upward from ground level, its height h in meters after t 2 seconds is…

A: h(t)=−9.8t2+49t

Q: 8. 1 Consider an = 2√ (a) Does {an converge or diverge? If it converges, find its limit. (b) Does an…

A: Consider (a) To determine whether the sequence converges or diverges. If it converge then to find…

Q: c) y 1 cos(2x) + 2cos²x. -

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Q: Serperate tthe variables and solve the equation 2y (dy/dx) + 2x =0. Use the initial condition x =0;…

A: To seperate tthe variables and solve the equation .To use the initial condition  to find the…

Q: Determine the values of m and k so that the function is continuous everywhere. kx² +m, g(x) = 4x+1,…

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Q: Suppose f is a differentiable function. If f(6) = 7.9 and f'(6) = 6.1, then estimate the value of…

A: The objective of this question is to estimate the value of the function f at the point 6.4 using the…

Q: Solve the following problem and show your complete solutions. Explain your answers for better…

A: given differential equation

Q: product of the vectors u and v, and find the angle between the vectors. and v= (1,3,5). f the…

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Q: Find the critical points of the following function. f(x)= 3 Xx 3 - 9x Select the correct choice…

A: The given function is; f(x)=/3 - 9x

Q: Consider the following. x = 3  sin(t),    y = 4  cos(t),    0 < t < 2? For which values of t is the…

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Q: Use the limit comparison test to determine the convergence of infinity ∑ n=0 ((sqrt(n))+1)/(n^(2)-n)

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Q: The velocity of an object is given by, V ds dt = u + at where, u is the initial velocity, a is the…

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Q: Reverse the order of integration and evaluate the following integral. Enter an exact answer…

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Q: Elizabeth must choose between two job offers. The first job offers $51,000 for the first year and a…

A: Elizabeth have two job offers.First job offers  for first year and a  raise after each year.Second…

Q: S t Vat²-b dt

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Q: f(x) = Σ (−1)" (2x) ²n+1 (2n + 1)! n=0

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Q: What is the domain of the radical function f(x)=√2x²-5x-12? D: (-∞0, ∞0) D: [-1.5, 4] D: [-1.5, ⁰⁰)…

A: The function is given byTo determine: The domain of the the function.Domain Restrictions for Square…