Evaluate the integrals in problems 6-9. √x-2x² √√x 6. f X dx

Q: 18. For f(x)=x*- 2x² +3: A. Find any critical numbers of f(x) and find intervals of…

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Q: 10. The function D(h) = 6e-0.4h can be used to determine the milligrams D of a certain drug in a…

A: Question No. (10):The function can be used to determine the milligrams D of a certain drug in a…

Q: Find the indefinite integral. 20eSt /√30 √5 + est dt Do not include the constant "+C" or any…

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Q: 16) Use Newton's method to approximate the indicated solution of the equation correct to six decimal…

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Q: (ii) e dr where C is the arc of the curve x = y³ from (-1,-1) to (1,1)

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. [[5…

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Q: lim 21-3 x²-3x - 18 x²-9

A: L=limx→−3x2−3x−18x2−9

Q: Compute the area of one loop of the polar curve given by r = 4sin(50). (Hint: Start by determining…

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Q: In ² x→∞ 9x Explain why we can use L'Hopital's Rule in this problem. Use it to find the limit.…

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

A: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

Q: Solve the following triangle. A = 20°, B=10°, a=2 0 C≈ (Simplify your answer.) ba (Type an integer…

A: A=20 degreeB=10 degreea=2

Q: Let f (x) = √√√x + 4 and g(x) = ex² + 5, then Select one: a. b. O c. O g•f = √ex² +5+4 8. 8 · f = √…

A: 1). 2).

Q: A 689 15 49% B

A: Consider the triangle

Q: An engineer deposits $900 each month into a retirement account. After 30 years, the balance in the…

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Q: Using methods from class, which of the following choices of u could be used for finding a² e da…

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Q: Find the value of k for which the constant function (t) = k is a solution of the differential…

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Q: a) find the linearization L(x) of f(x) at x=a. b) how accurate is the approximation L(a + 0.1) =…

A: The function is given as,

Q: Determine whether the series converges absolutely, converges conditionally, or diverges. n!

A: 1 \text{ or } L \text{ is infinite, the series is divergent.}\\ &\text{If }L=1, \text{ the test…

Q: Find an equation for the hyperbola described below. Graph the equation by hand. Vertices at (0,-4)…

A: General equation of the hyperbola opens up and down

Q: Question Find the equation of the tangent line at the point (1, -3) to the curve defined implicitly…

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Q: 2. Find lim n→∞ N (e-(a/n) - (2a/n) + e -(3a/n) + e + . e-(na/n)).

A: To find the following limit.

Q: Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 2¹, where t is given in…

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Q: Find the average value, fave, of the function f(x) = x³ on the interval [-1,3]. O 20 05 O None of…

A: need to know the formula for average value of   a function

Q: 10) Find (¹) (3) if f(x)=x²+x-1.

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Q: Question The graph of f(x) is given below. Select each true statement about the continuity of f(x)…

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Q: Sketch the region of integration and convert the polar integral to a Cartesian integral or sum of…

A: The given integral is

Q: Find the centroid of the thin plate bounded by the graphs of g(x)=x² and f(x) = -x + 6. Use the…

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Q: find the first derivative and solve it for x after setting it to zero. Substitute the x-values…

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Q: Find the derivative of f(x) = 3 csc¯¹ (x). Select the correct answer below: O O O O 3 75 1-x² 3 |x|√…

A: Consider the function

Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. π/2 -…

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Q: A company can charge a price of 88 dollars per unit when they sell 540 units. If the price increases…

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Q: Use the power series f(x) = 1 1 + x to determine a power series for the function, centered at 0, d²…

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Q: A projectile is launched at an angle of 60° to the horizontal from 6 ft above the ground at an…

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Q: Question The graph of f(x) is given below. Select each true statement about the continuity of f (x)…

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Q: Which of the following differential equation is a variable separable type of differential equation?…

A: A differential equation is said to be a variable separable type if it can be expressed in the…

Q: ve the equation. 2 sin ²0-sin 0-

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Q: 1 Exercise 1. Find the slope of the tangent line to the graph of r = cos(20) at 16 26

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 6. Find the values of constants a, b, and c so that the graph of y = ax³ + bx² + cx has a local…

A: We have to find the values of constants a, b, and c such that the graph of has a local maximum at x…

Q: sin 20 c) lim 000

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Q: 7) Find the relative extrema of the function f(x)=sin² x+sinx in the interval [0,2π].

A: The first derivative test is based on the sign that the first derivative is around the point that we…

Q: Pollution from a factory is entering a lake. The rate of concentration of the pollutant at time t is…

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Q: Write an equation for the ellipse. Type the left side of the equation in the box below. =1 *** COB 2…

A: The standard equation of an ellipse with a major axis parallel to the x axis and center  is

Q: 3. What is the smallest perimeter possible for a rectangle whose area is 16 cm², and what are its…

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Q: The function h is defined by h(x) following statements must be true? A (В B (C) D lim h(x) x→4- lim…

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Q: f(x) = 12x - x² from x = 0 to x = 6; 2 subintervals a) Approximate the area under the curve over the…

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Q: When using the Richter scale, all earthquakes are compared to a zero-level earthquake whose…

A: When using the Richter scale, all earthquakes are compared to a zero-level earthquake whose…

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Q: Given what is g'en? g(x)=log²(f³(x)+2). f(1)=2 & f'(n=5 a) 3 log2 B) 12.log10 2) 12 logio

A: The given function is

Q: Evaluate the integral ftan¹ (x)sec (x) dx . O sec³(x) 5 O O tans (T) 5 O O None of these tan³ (x) 5…

A: find which method is use for integration.

Q: Question 10 If f is odd and f is differentiable, then f' is odd. O True False

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