The graph shows the depth it W in reservoir over a one-year period as a function of the number of days x since the beginning of the year. What was the average rate of change of w between x=0 and x=150? (Assume the points lie on the grid lines.)

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

Q: 13. Identify the best integration technique for the following: (sin.x cos³x) dx A. Partial Fraction…

A: Identify the integration technique

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Q: 36. Approximate approximation A. 3.039 B. 6.078 C. 8.105 D. 4.053 E. 12.156 the integral egral; de…

A: Let's find integral by using trapezoidal method.

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Q: A] Are these functions? 1. {(2,3), (-3,4), (-3,5)} 2. ((-2,4), (-3,4), (-4,4)} 3. f(x) = 4x + 5 4. À…

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Q: What is the degree of f(x, y) = 2y + √x² + y² ? 01 00 O 1/2

A: what is the degree of f(x,y)=2y+x2+y2 degree: it is the highest power of function

Q: Consider the line with equation y = 2x + 2. This cuts the x-axis when x is equal to what value? Give…

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Q: 져 - b ± √b² -uac a=1, b-21C25 = -2 + 234(1) (5) a = 2 = -2 - 1-16 2 를 2=-1±i 2) 대 2

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Q: 1. S e²x dx √25-4e4x

A: I=∫e2xdx25-4e4x This can be written as: I=∫e2xdx51-425e4x I=∫e2xdx51-25e2x2

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Q: 1. dy dt 2 3 14 S I = lim At→0 =lim At 0 = lim - At→0 = lim lim At→0 f(t+At)-f(t) At 2 -7. 2 +At At…

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

Q: B- Find the area between the curve (y-√x - 2) and the lines (y-4-x),(y=0).

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Q: Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic…

A: The given function is f(x)=sin(x) Here we have to calculate the Taylor polynomials T2(x)=? and…

Q: (b) Find the volume of the solid generated when R is rotated about the x-axis.

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Q: Write the expression in power form ax for numbers a and b. 24 (2√x)³

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Q: r best submission for each question part is used for your score. [-/6 Points] SCALCCC4 2.3.027.…

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Q: Q1: A-Show if the series is convergent or divergent (2n)! n!n" n=1

A: This question is related to infinite series, we will solve it using given information.

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Q: 32. Given f(x)- vix, describe the concavity of f(x). A. concavity cannot be determined B. concave up…

A: We have to choose the correct option from the given options according to the given information

Q: Question 32 A circular planetary ring of radius 70000 kilometers completes one full revolution in…

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Q: ∞ Use the equation = Σ x” for |x| < 1 to expand the function in a power series with center c = 0.…

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Q: For the following​ function, make a table of slopes of secant lines and make a conjecture about the…

A: Topic:- application of derivatives

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Q: 2 ГБА 0 4 - x - y dy dx

A: ∫01 ∫024-x-y dydx

Q: 46. The gravitational force exerted by the planet Earth on a unit mass at a distance r from the…

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Q: In the given equation, find dy/dx by implicit differentiation. O (3x²+tan-ly)(1+y²) (1+y)e-x O…

A: Basic identities of differentiation is used.

Q: A graphing calculator is recommended. For the function, consider the following. nd g(--/-) g(x) =…

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Q: 40. The graph above represents f (x). Which of the following graphs represents f(x)? А. B.

A: Graph of the function f'(x) is given we have to find the graph of the function fx

Q: Let F = (1yz)i + (5xz)j + (1xy) k. Compute the following: A. div F = B. curl F = C. div curl F i+ j+…

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Q: Convert -0.8 radians to degrees: (Round your answer to the thousandths place.) I

A: Topic- Conversion of radians to degrees

Q: 21 21 18 If ²¹ f(x) dx = 3.4, and 2¹ f(x) dx = 10.5, then 5,1³ f(x) dx 18

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Q: Find the interval of convergence of Σ ∞ (x 4)" In (4n) n=2 (Use symbolic notation and fractions…

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Q: -1 y 6 5 4 3 2 1 -1 -2 -3 (2,5) b 1 2 (2,-2) 3 4 5 5 a 6 6 7 8 9 (8,-2) x

A: As we know that; The  expression for the distance between two points Px1,y1 &amp; Qx2,y2 is:…

Q: Find domains and ranges of the following relations? Write domains and ranges in interval notation

A: We can find the domain and range from the graph in the following steps.

Q: a) x' = 2, x = t². t b) x' = -1, = √6-1² X =

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Q: Use partial fraction decomposition to evaluate the integral: 6r - 3 1² - dr = 2-r-20 Be sure your…

A: Topic = Integration