Calculate the following iterated integral. 3x ["(" ydy) de = dx X

Q: 1 Use the graphing utility to plot the curve y = sin(x) and the horizontal lines y = 1 and y 2 (When…

A: The graph is shown below:The green line represents .The purple line represents .The curve represents…

Q: Differentiate the function. f(x) = (6x² - 2x + 1) (4x² + 3x − Which of the following shows how to…

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Q: . Calculate the anti-derivatives of the functions below and isolate y(x). (a) = x³ + x

A: The objective of this question is to find the anti-derivative (also known as the integral) of the…

Q: Find the indefinite integral by making the substitution X = 6sin(0). 36-x² X Select one: a. O b. O…

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Q: 1. For the function f(x) = (x^2) - 36, evaluate f(x+h) 2. For the function f(x) = 6x^2, evaluate…

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Q: If ​f(x)=2x2−5x+5​, find f′(−1).

A: The objective of this question is to find the derivative of the function f(x) = 2x^2 - 5x + 5 at the…

Q: how did you came up with 4 please explain

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Q: O Does not exist 0-2 01 04 02 00 O None of the above. J

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Q: Find an equation of the line tangent to the graph of f(x)=1x2.  ​a) at​ (1,1); ​b) at −3,1/9​…

A: The objective of this question is to find the equation of the tangent line to the graph of the…

Q: What is the Laplace Transformation of this equation? cos² t - 1/2

A: To find the Laplace Transformation of the following function.

Q: Use partial fractions to find the integral 3x³ 37x²+ 91x+ 119 x²-13x+40 Select one: O a.…

A: Integration

Q: Evaluate the limit and express your answer in simplest form. arcsin (x) - arcsin (¹) 1 2 lim X -

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Q: The following statement expresses the two roots to a quadratic equation, according to the quadratic…

A: x=−(−1)±(−1)2−4(2)(−6)2(2)

Q: Evaluate the limit and express your answer in simplest form. sin¹ (+h)- sin¯¹ (3) h lim h→0

A: We have to evaluate the limit and express your answer in simplest form.

Q: Point A is launched horizontally away from a wall and a(t) represents Point A's distance from the…

A: Given that Point A is launched horizontally away from a wall and a(t) represents Point A's distance…

Q: (4) Let f(x) = 2x² - 2r-12 be a quadratic function. (a) Find the vertex of the parabola. (b) Find…

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Q: Find f′(x) for the given function.   ​f(x)=5x2

A: The objective of the question is to find the derivative of the function f(x) = 5x^2. The derivative…

Q: If y = 1 x10 dy find at x = -2. dx The value of at x = -2 is dy dx (Simplify your answer.)

A: If , then to find .

Q: Let Pn(x) be the nth-order Taylor Polynomials for f (x) = sin(x) about x = 0. Find n so that Pn(x)…

A: The objective of this question is to find the order of the Taylor polynomial that approximates the…

Q: Question content area top Part 1 By determining f′(x)=limh→0f(x+h)−f(x)h​, find f′(6) for the given…

A: The objective of this question is to find the derivative of the function f(x) = 7x² at the point x =…

Q: 10 37) If f(x) = -8√√x - find (Answer must be entered without using fractional or negative…

A: f(x)= -8√x -10/x7

Q: a) Find the simplified form of the difference quotient for the function f(x)=x²-x. b) Complete the…

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Q: Find g′​(t) for the function ​g(t)=8/t3.

A: The objective of the question is to find the derivative of the function g(t) = 8/t^3.

Q: Explain the difference between mu and x-bar.

A: The question is asking to differentiate between two statistical terms: mu (μ) and x-bar (x̄). These…

Q: (c) y = 2

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Q: Let F(x) (2²) = { ª ex IC 3 Find lim F(x). x 0 + lim F(x) = + x >0 x < 0 0<x

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Q: For each equation, determine whether it shows a direct variation (that is, shows directly…

A: (a) Given,

Q: The following table shows worldwide sales of a certain type of cell phone and their average selling…

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Q: A 1000 liter tank initially contains 200 liters of pure water. Contaminated water with a…

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Q: f³ f(x) dx where f(x) = 3x, x < 2 6, x ≥2

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Q: d) Let g(x,y) = (3x + y)2(2y + 1) and h(x, y) = 6y2(2x + y) h i) Find дх’ ду’ дх’ ду

A: The given functions are  and

Q: A) What is the domain of f(x)? Give your answer using interval notation. (-10,-4) U (-4,-00) B) What…

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Q: The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = √√x. y 1 R y =…

A: Given: To Find: To find the area of the region R by writing x as a function of y and integrating…

Q: Find the derivative using the chain rule. f (m) = (cos(m))

A: Given,.We know that the rules are,

Q: Calculate the exact slope m (rather than a decimal approximation) of the straight line through the…

A: Given,

Q: For the​ function, find the points on the graph at which the tangent line is horizontal. If none​…

A: The objective of the question is to find the points on the graph of the function f(x) = 6x² - 2x + 5…

Q: For the​ function, find the points on the graph at which the tangent line is horizontal.   y=x2+1…

A: The objective of this question is to find the points on the graph of the function y = x^2 + 1 where…

Q: Write the form of the partial fraction decomposition for the following rational expression 5 x²+2x…

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Q: (a) Graph the line through the points (-6, 4) and (6, 0). 10 10 -8 -6 -4 -2 Clear All Draw: 8 6 4 2…

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Q: To produce a textbook, suppose the publisher spent $145,000 for typesetting and $8.50 per book for…

A: To produce a textbook, suppose the publisher spent $145,000 for typesetting and $8.50 per book for…

Q: do 2nd question as well

A: Equation of the curve: Given point:

Q: Find the following limit, if it exists. 22 €2x lim x→∞ €²

A: Let assume,

Q: A pilot is steering a plane in the direction N 45° W at an air-speed (speed still in air) of 190…

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Q: (h) cos (2 sec-¹(x))

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Q: Determine whether the given function is continuous. You can verify your conclusions by graphing the…

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Q: magnitude of vector F₂ is 80 N, find w and the magnitude of vector F₁. What is the weight, w? =ON W=…

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Q: Calculate the exact slope m (rather than a decimal approximation) of the straight line through the…

A: Given points,.

Q: For problems 7-9, consider the following integral. √ √³ - r² (3x² − 2) dr Identify "u" and "du" (the…

A: Given

Q: do 2nd question as well

A: To find the equation of the line tangent to the curve  at the point  on the curve.

Q: Using the method of Partial Fractions obtain the following integral 1 x² 2x - 8 as a function of x,…

A: The objective of this question is to find the integral of the function 1/(x² - 2x - 8) with respect…