Estimate the area under the graph of f(x) = 1+x² from x = -1 to = 2 using six rectangles and right endpoints.

Q: lim n→ ∞o 3n+1 - 80-1 gn+2

A: The given limit .The aim is to find the given limit.

Q: The answer is wrong

A: The given curves equation is

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: 1. Find the area bounded by x = y²; x = −2y² +3

A: To find the area bounded by

Q: Consider the graph of the function f below. What is the sign of the slope m of the tangent line at x…

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Q: 1 Answer the following questions about the curve: 2x³ - 3y² = 16 a) Find dy/dx. b) Find d²y/dx². c)…

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Q: (iii) Find f f(x) dx if f(x) = 3 X for x 3.

A: Information provided is as follows

Q: Consider the triangle below. Click on the picture to see it more clearly. If c = 4, the angle C =…

A: Given,

Q: Find all exact solutions on the interval 0 <0 < 27. If there is more than one answer, enter them as…

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Q: 4. For the function fwhose graph is given, state the value of each quantity, if it exists. --2- 0…

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Q: Refer to the graph shown below and evaluate Ĵ 1941 CH - 4 f(t)dt.

A: Consider the figure

Q: d) Write an expression that represents the approximate value of g(x) for a generic value x in the…

A: The graph of the function g'(x) is shown as,

Q: Find the area of the region bounded by the given curve: r = 7eº on the interval 4 -π ≤ 0 < 2π.

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Q: (f) (g) Find the absolute maximum and absolute minimum of g(x). On what interval(s) is g(x) concave…

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Q: Air freshener A has a mass of 42 grams when opened and its mass decreases by 4.2 grams each day. Air…

A: The mass of the Freshener a=42 gmIf opened in the air decreases to  4.2% per dayThis means the decay…

Q: Starting with an initial value of P(0) = 50, the population of a prairie dog community grows at a…

A: The growth rate of population of prairie dog community is P(0)=50

Q: Find the points on the graph of the polar equation where the tangent line is horizontal or vertical.…

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Q: Find the logarithm. 1 log 5 625

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Q: tinues to grow for a while, but then stops growing and begins to decline. The +124t-12312. Find the…

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Q: Find the indefinite integral. J (100e5x) dx = +C

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Q: Use the test-point method to solve the polynomial inequality. x³ - 6x² ≥0

A: By using the test-point method to solve the following polynomial inequality.

Q: Evaluate the following. log 6216

A: Let .We know that,

Q: Solve the rational inequality x²-9 x² - 49 -≤0.

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Q: 13. If there are initially 2000 bacteria in a culture, and the number of bacteria double cach hour,…

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Q: Find the vertex, focus, and directrix of the parabola with the given equation. Graph the equation.…

A: The given equation of parabola is The vertex form of parabola with the vertex  is

Q: Find the integral. Use C for the constant of integration. | (x² (y² + 3)² dy

A: The objective of the question is to find the integral of the given function with respect to y. The…

Q: d. h(x) = x3 3 -2 - 2x² + 4x, 0≤ x < ∞0 e. f(x) = √25-x², -5 ≤x≤ 5 f. g(x) = 0≤x≤ 1 x-2 x²-1'

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Q: Find an antiderivative of the function g(t) = e-³t. An antiderivative is

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Q: Let A and B be the following matrices. Perform the following operations: -6A A+ 3B: 2A + 4B A 9. 5…

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Q: 15 x² 3x 54 (Round the answer to four decimal places.) Find the area bounded by y = X- -, x = 3, x4,…

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Q: Given 6xy= 2 + y³ ,  a) Find the coordinates of a point on the curve at which the line tangent to…

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Q: Calculate the Riemann sum R(S, P. C) for the function f(x) = x² + 8x, the partition P= {4,6,9, 12)…

A: Solution

Q: Write the integral required to find the area of the region pictured below that is bounde 2(y+2) 3…

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Q: amount for 6 Three kinds of tickets are available for a concert: up-front, main- floor, and balcony.…

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Q: Please do part a)

A: The objective of this question is to find the general solution of the given linear nonhomogeneous…

Q: 17. Determine whether the sequence converges or diverges. Find the limit if converges: a = 2n+3 2n+1…

A: To determine whether the sequence converges or diverges.To find the limit if it converges.

Q: Find the value of f(x) = -x +7, a=5 1 OA 2 df 1 dx OB. 7 O c. 2 1 OD. 7 at x = f(a).

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Q: Find the average value of h(x) over the interval [1,7] given that g (z)=-6x + 8. Edit View Insert…

A: Given,

Q: Consider the function f that is continuous on the interval [-3, 3] and for which the following is…

A: Given that f is a continuous function on the interval  and To find:-(f is even) (f is odd)

Q: how that the function is increasing on the given open interval. (Enter your answers as a…

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Q: A curve with polar equation r = 28 5 sin +41 cos 0 represents a line. This line has a Cartesian…

A: A curve with polar equation represents a line.To find the Cartesian equation of the line in the…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 − x² −…

A: y=4−x2−ln⁡(12x+1), point (0,4)

Q: Which of the following are solutions to the following integral. X 3x² - 12x □ Check ALL that apply…

A: The given integral is x/(3x2-12x).

Q: Given f'(x) = 6x + 5, compute f(4) – f(1). -

A: Explaination of the answer is as follows

Q: (1) 2x2 + x- 5y2 = 4 2x2 + x + 5y2 = 4 3x²+1= 4y 12 (2) (3)

A: Note: As per our guidelines, we can solve the first three parts. Please repost the remaining sub…

Q: Consider the triangle below. Click on the picture to see it more clearly. If a = 8, the angle C =…

A: The given triangle has measures .The aim is to find the remaining meausres .

Q: Consider the following. f(x) = 48x − 4x2 Find  f '(x). f '(x) =        Find the critical…

A: The objective of this question is to find the derivative of the function f(x) = 48x - 4x^2 and then…

Q: Evaluate the integral by making an appropriate change of variables. JJ₂² 7 cos(3 (y + x)) dA where R…

A: The given integral  where R is the trapezoidal region with vertices

Q: If x³ + y³ = 2, find the value of d²y dx² at the point (1,1). The value of at the point (1,1) is d²y…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an = tan -1…

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