xe 2 -X dx

Q: For what value of k is the function f(x)= Select one: O a. O b. 064 d. 2* 2x²-9x+10 x-4 7 x=2 k, x =…

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Q: 5. Expand the following binomial functions by using given formula. finding kth term of (a+b)" 5.…

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Q: Find an equation for the tangent line to the graph of the given function at (5,28). f(x)=x² +3 Find…

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Q: Consider the following equations. f(y) = y(2-y) g(y) = -y Sketch and shade the region bounded by the…

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Q: Use Newton’s method to find the positive root of 3 sin(x) = x correct to six decimal places.   *Try…

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Q: Find the area of the surface generated by revolving the curve about each given axis. x = 9t, y = 2t,…

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Q: (c) [²² x²e²x + x − x³ - x² -dx

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Q: finxdx

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Define f(8) in a way that extends f(s) = 3 s - 512 S s²-64 2 to be continuous at s = 8.

A: The objective of the question is to determine the value of " f(8).

Q: 1. If lul=lyl=2 and u+v+w=0, what is lwl? u, v, w are drawn below. u W

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Q: Draw a graph that is continuous, but not differentiable, at x = -2. Choose the correct graph below.…

A: A function is not differentiable if left hand derivative is not equal to right hand derivative.

Q: Let f(x) = x Then the expression -5 where A is a constant and A= f'(x) = lim h→0 Using your answer…

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Q: The following integral can be evaluated by using substitution: a) b) Identify the inside function.…

A: The given integral

Q: 6: Prove by contradiction that for any positive integer x, x+ 49 x ≥ 14.

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Q: Given this integral: [x³e+4 dx Determine this indefinite integral What is the best analytical method…

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Q: 13. On what interval(s) of x is the graph increasing? 14. On what interval(s) of x is the graph…

A: Graph increases when the values of y  increases  with increase in  values of x or slope of the graph…

Q: ] a) Determine the vector equation of the plane that contains the following two lines L1: r = (2,…

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Q: evaluate using integration by parts: ∫ xcosπx dx with a lower bound of 0 and an upper bound of 1/2

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Q: Consider f(x, y) = x² - y²x - xy. The three crtitical points are (i) (0,0) (ii) (0,-1) and 1 (iii)…

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Q: What is the role of numerical integration methods, such as the trapezoidal rule or Simpson's rule,…

A: These rules helps in appromating value of definite integrals accurately without finding the…

Q: Find the area of the surface generated by revolving the curve y = √2x-x², 0.25 ≤x≤ 1.5, about the…

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Q: Find the area of the surface generated by revolving the curve about the given axis. π x = 6 cos (0),…

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Q: Find a formula for the nth term of the sequence in terms of n. 15 5² 5³ 54 6'8' 10' 12' 14' -

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Q: For the following parts, do not round your answer at any point. For any  ?>0 , suppose that there…

A: given the fact that N>0 and ε>0we are given…

Q: Given the series 6 18 + 6 36 converges 54 216 Does this series converge or diverge? O diverges If…

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Q: part a last answer is wrong. part b last answer is wrong , please check both of them . thanks

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

Q: all answers given are wrong , please can you check . thanks .

A: We knoiw that integration by parts, is given by

Q: Find the following for the vectors v=8i+jand u=8i + √√11j. a. vou, v, lu b. the cosine of the angle…

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Q: all answers given are wrong , please can you check . thanks .

A: To integrate the expression ∫(6x cos(x)) dx, we can use integration by parts. Integration by parts…

Q: 11. Expand the following binomial functions by using given formula. n! finding kth term of (a+b)"…

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Q: Calculate (-3.³√x) dx The solution to any indefinite integral of the type given above will always…

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Q: Answer the following True or False: Since lim then 1 8n + 2√√√n O True O False 1 n+∞ 8n+2√√n…

A: given limit

Q: Find the following for the vectors v=10i +4j-√√5k and u - 10i - 4j + √5k. a. v • u, |v|, lul b. the…

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Q: The entire graph of the function fis shown in the figure below. Write the domain and range of fas…

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Q: Find the area of the surface generated by revolving the curve y = X Set up the integral that gives…

A: The region bounded by  over the interval  The surface area of revolution about x axis

Q: 7. Given the region R bounded by y = 9 – x² and the x-axis, find the horizontal line y = k that…

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Q: 9. For a general function y = f(x), what does - 10. If f(x) = x² + 3x + 2, find ƒ(5) - f(2) 5-2 ƒ(5)…

A: Given

Q: Use the table to evaluate the limit of f (x). If the limit does not exist, use DNE. x-2 f(x) =…

A: from the table as the value of x approaches to 2 from the left side, the value of the function…

Q: Use the given graph of the function ff to find the following limits. If a limit does not exist, type…

A: We have to find the limits using the given graph of the function.

Q: The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are…

A: As we can see from the graph, the vertical asymptotes are,The horizontal asymptote is,

Q: Calculate the area under this function over the specified interval: f(x)=3x² +6x + 1; [-4,2] Show…

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Q: c) Hence write down the indefinite integral: d) (Don't forget the constant of integration as this is…

A: product rule

Q: Find the solutions to the equation in the interval 0 ≤ t ≤ π. Enter your answers as a…

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Q: ū Hence write down the indefinite integral: -5 ln (42) da (Don't forget the constant of integration…

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

Q: A machinist is required to manufacture a circular metal disk with area 1000 cm². (a) What radius…

A: Area of the circle with radius r is given by

Q: determine the intervals on which the following functions are continuous  f(x)=4x^5-3x^2+1

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Q: Question 7 Let f (x) = 2x2 + 2x - 24. What is/are the y-coordinate(s) of the y-intercept(s) of the…

A: f(x)= 2x²+2x-24

Q: What is the partial fraction decomposition of the following problem: 5x+1 (2x-1)(x+2)²

A: We can find the partial fraction decomposition of given problem by seperating the terms.

Q: The number N of bacteria in a refrigerated food is given by : N(T) = 20t² - 80 T +500,2 ≤ T ≤ 14,…

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