4 = √² 43 √8-7x8 dx

Q: a) Find the limits of the following functions: 1. sin 2x lim- x-2x²+x lim √x² +12-4 x-2

A: SOLUTION-

Q: EXAMPLE 6 Using the second-derivative test Use the second-derivative test to determine whether each…

A: Given Equation: f(x)=3x5-5x3+2

Q: JJD In Exercises 7-10, evaluate the given double integral over the quarter-disk Q given by x ≥ 0, y…

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Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A: Greens theorem states that "for closed curve C enclosed a region R then the line integral along the…

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Q: Determine whether the line integral of each vector field (in blue) along the oriented path (in red)…

A: Solution ) when the path is perpendicular to the vector field line integral will be 0 When path is…

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Q: integral

A: We have to calculate the given indefinite integral according to the given information

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Q: Find the vector parametrization r(t) of the line L that passes through the points (2, 2, 5) and (6,…

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Q: 10. a² 16 = 32 -

A: We can solve question no 10 as below.

Q: Find a formula for the exponential function passing through the points (-1,2) and (1,8) y =

A: We can find the exponential function as below.

Q: 3. What is the general term of the sequence: 5, 15, 45, 135, 405, ... a. t₁ = 3(15) b. t₁ = 3(5)n-1…

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Q: Find a formula for the power series of ƒ(x) = 2 ln (1 + x), −1 < x < 1 in the form Σan. n=1 2 1 + x…

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Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

Q: Find the slope (if it is defined) of the line determined by the pair of points. (If an answer is…

A: Given query is to find the slope of the link ne.

Q: a) Find the area of the region enclosed by the curve y=x²-2 and by the line y = 2. y=x²-2 y=2 Co

A: Area of a closed region is given by  A=∬dydx, when the strip of area is parallel to y-axis.

Q: The age/weight relationship of a particular animal can be estimated by the function e-0.03(1-58)…

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Q: The count in a bacteria culture was 200 after 20 minutes and 1900 after 40 minutes. Assuming the…

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Q: Match each linear equation with its graph Equation y = x y = y = y = S || Graph Color G a. purple…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: For the equation, find the slope m and y-intercept (0, b) (when they exist) and draw the graph. (If…

A: Here we have

Q: f(x) = √8x-6, g(x) = x² - 16, (f + g)(x)

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Q: Evaluate the integral A) 16T -3 4 x² + 8x + 17 dx.

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Q: (5) A unit disk centered at the origin is sliced so that the right portion has width h. De- rive a…

A: Given fx=1-x2 width of the slice is h

Q: 4. f(x) = 2x2-10, g(x)= =-x

A:

Q: Find the exact value of the expression for the given value of 0. Do not use a calculator. COS COS ()…

A: Given that  : theta= 7π/4 and we find the value of cos(theta/2).   We know that : cos(2π-x)= cos(x).…

Q: If x=log b5 and y= log b2, express log 50 in terms of x and y. log +50= (Simplify your answer.)

A: Given query is to express logarithmic term as x and y.

Q: What is the range of the function shown? Y 1 1≤x≤3 1≤ y ≤3 -3 ≤x≤3 -3 ≤ y ≤ 3 I -2- 4

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Q: 5. How many compounding periods are there in the following investment? Dan invests a principal of…

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Q: Let f(x)= -2x^2-x, if x1 Find limx-1- f(x).

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Q: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Draw the graph of…

A: Solution is given below:

Q: which of the following is not created when a plane slices through a cone? A: Point B: Rectangle…

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Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

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

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Q: F] Draw a rough sketch of the following relations. (Show work) 1) f(x) = 3x - 2 2) f(x) = x² + 4 3)…

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Q: 3. ) Suppose Australia's aggregate income (Y) has two components: aggregate consumption (C) and…

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: 2. On February 10, 1990, high tide in Boston occurred at midnight. The water level at high tide was…

A: Given 1. High tide at midnight t=0. 2. Water level at high tide = 9.9 feet. 3. Low tide at 12 noon…

Q: "Please show all your work 1. If a vector A=2a, +a, +2a₂and B=a+2a, +ã, find Ax B. 2. If a vector…

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Q: Find y, of the following functions: (i) y=e³x+2

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Q: For each pair of functions f(x) and g(x), find the following. P(x) = x²³² +6; g(x) = = (a) f(g(x))…

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Q: For f(x)=3-25², evaluate ƒ(2). O-3 O 5 O -1

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Q: A tank holds 3000 gallons of water, which drains from the bottom of the tank in half an hour. The…

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Q: Several surveys in the United States and Europe have asked people to rate their happiness on a scale…

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Q: b) Calculate the following definite integral: [* (√x - 1) dx

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Q: Find the power series for f(x) = 24x³ in the form Ea (1-x4)² n=1 Hint: First, find the power series…

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Q: E] Find domains and ranges of the following relations? Write domains and ranges in interval…

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Q: C] Write in interval notation -3 -2 -1 0 1 2 3 4 -1 0 1 2 3

A: We can write the answers in the following steps.

Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: a) y=(x2-2)2 put y=y+∆yand x=x+∆x

Q: 6. What is the equation for the slope of the ellipse+-1 at 1 at (x₁, ₁)? A. B. C. D. E. y' = -21 y'=…

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Q: Use the graph below of a function fto find all integer values of x for which f(x) = 3. Separate…

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