Setermine if the se quence fa. } Converges or diverges of the sequence is convergent. Find the limit 2-3n² n4 +3n N 3

Q: Find the exact area, in fractional form, under the curve y = 4x³ over the interval [0, 5].

A: we have given function

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 4! 1-3-5-1-3-5-7…

A: The ratio test states that

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Q: For this problem, you will need to use the Desmos Riemann Sum Calculator. (This link opens a new…

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Q: f(x) = x2 + 2ax+ 2 si 4 si ba +1 si x≤-1 -1 <z <3 z≥ 3

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Q: In an opinion poll, 715 or 63% of people interviewed were opposed to the issue asked.  How many…

A: Given In an opinion poll, 715 or 63% of people interviewed were opposed to the issue asked.Let…

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A: The given function is

Q: Find all critical points of the function f(x) = 2x³ - 14x² + 11x on the interval [0,7). (Use…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: , n=5a=0, b=4

Q: Compute the line integral fx²yds, where C is the arc of the circle x² + y² = 9 in the first…

A: To find:-The line integral, where C is the arc of circle  in the first quadrant.

Q: 4. Here is a graph representing a function of the form f(x) = a b*. Find the values of a and b. Show…

A: The exponential function is

Q: Question 4.21) Evaluate the following limits. sin² (1)-1 A) lim 1->8/2 1-4 B) lim x-0 1-cos(2x) x²…

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Q: Having completed your first few tasks, you move now to a portion of the lab where important bacteria…

A: Given: To Find: To determine the bacteria population after 5 days.

Q: ne whether n=1 1 is n(ln(n) + 1)²

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Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied for f(x) = x² - 6x on the…

A: F(x) = x2 - 6x Interval [ -2 , 4 ]

Q: For the function f(x) = e¹x (6x - 2), use calculus to determine any interval(s) where the function…

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Q: Find the value of k that makes the antidifferentation formula true [ (4x +1) 7 dx 4x + 1) ² dx = k (…

A: Integration helps to find the value of k.

Q: 2² y² Mikayla is a calculus student and needs to find the points on the ellipse + 81 1296 = 1 that…

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Q: Using the following solve the following conversion:  16 liters = how many quarts? 1 liter = 1000ml…

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Q: -example 3- Use an appropriate linear approximation to approximate the value of √26.2. Draw a…

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Q: Use power series operations to find the Taylor series at x =0 for the following function. 9 (1-x)²

A: f(x)=1(1−x)2

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Q: Evaluate F. dr along each path. (Hint: If F is conservative, the integration may be easier on an…

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Q: A candy box is made from a piece of cardboard that measures 37 by 20 inches. Squares of equal size…

A: Given:A candy box is made from a piece of cardboard that measures 37 by 20 inches. Squares of equal…

Q: Find the length, L, of the curve from x = 4 to x = 6. 6 L° √ ₁ + 1 (F(x)² dx L = 6 - [5 /17 (× ² +…

A: Find the length, L, of the curve from x=4 to x=6.L=∫461+(f′(x))2dx

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Q: A concrete block falls from rest in a medium offering resistance. The velocity of the block before…

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Q: Let f(x) = x^4 − 4x^3 − 20 (a) Find the zeros of f"(x). Then decide which of these are inflection…

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Q: Use the Second Derivative Test to find the location of all local extrema in the interval (0, 6) for…

A: Maxima and minima

Q: The graph shows the derivative of a function f. If f(0) = 3, what is f(2)?

A: given graph of the f' to find the value of f(2).

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Q: Find the area of the surface over the given region. Use a computer algebra system to verify your…

A: I have appended the formula used in the solution procedure

Q: Find the absolute maximum and absolute minimum values of the function f(x) = x + 1/ interval [0.2,…

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Q: Write (x³ - 3x) dx as the limit of a Riemann sum with intervals of equal width and right endpoints…

A: The given integral is

Q: F(x, y, z) = (2xz + y²) i + 2xy j + (x² + 6z²) k C: x = t²2, y = t + 2, z = 2t - 1, 0≤t≤1 (a) Find a…

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Q: Trust Fund A deposit of $20,000 is made in a trust fund that pays 5% interest, compounded…

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Q: While on Casey's computer, you notice that a model for a recent experiment is completed. The model…

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Q: Consider the function f(x) = 14x - 4sin-¹. Find the critical number(s) off in the interval [-1,1].…

A: The given function is

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Q: * Find the general Solution of :- - Cotx dy dx

A: To find the general solution we need to integrate the solutions of both sides w.r.t. to x;

Q: part b) why do you divide theta by 360?

A: Formula for area of sector of a circle is given by               Where

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Q: #1.) cotxdx √9-in sinx ત્ર

A: