Find T 1 = -1 wwwman x² dx + C

Q: at the point (0, 1/2). and b = The equation of this tangent line can be written in the form y = mx +…

A: y=1/[3sinx+2cosx]Point (0,1/2)

Q: 11. A car drives towards a 111 m skyscraper at 7.62 m/s. How fast is the car approaching the top of…

A: Given that :Height of the skyscraper =  mSpeed of the car =  m/sTo find :Rate of change of distance…

Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x (20x²…

A: The given marginal profit function , where  is the amount of cheese sold in hundreds of pounds.The…

Q: 5.4-1+1/2 - 1/6 + 1 64 |

A: Given that the series we have to find check the series absolutely convergent, conditionally…

Q: Let g(2) = 42³ +7z7 Determine the most general indefinite integral of g. | (42³ + 7z") dz =

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Q: Problem #4: Beginning now at time t = 0 in years, the number of mice in a population of mice is…

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Q: Given the function f(x) = 5x² − 3x + 9 and the point P(-4, 101), which lies on the graph of f(x),…

A: The objective of this question is to find the equation of the tangent line to the function f(x) =…

Q: 14. A rectangle has its base on the x-axis and its upper two vertices on the parabola y =12-x². What…

A: The second derivative test states thatWe use this to solve the given problem.

Q: The total revenue for a product can be calculated as the area under the demand curve. Suppose that…

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Q: In a large city, the road system is set up like a Cartesian plane, where streets are indicated by…

A: Given that in a large city, the road system is set up like a Cartesian plane, where streets are…

Q: For what value of x the geometric series (x-4)" 9n is convergent?

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Q: Find the average value of the function g (t) = e' over the interval [0, 10].

A: g(t)=et over the interval [0,10]Average value of f(x)=1b−a∫abf(x)dx

Q: b) x²-8x+15 2x²-x 1-4x² x²-x-30 X

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Q: Find the areas of the shaded regions in

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Q: Consider the function f(x)=x/x^2+12x+32. Determine the intervals on which f is increasing and…

A: We have to determine the intervals at which the function  is increasing or decreasing.

Q: An angler hooks a trout and reels in his line at 5 in./s. Assume the tip of the fishing rod is 11 ft…

A: We are to find the change in horizontal distance of the fish from the angler. When it is 17 ft away…

Q: Consider the following graph of f (x). Which of the following are inflection points of f (x)? -3 O…

A: We have to find the coordinates of the inflection points from the given graph of function.Let's…

Q: 3√2 2 [*** 9-x -x² - y² e Evaluate the integral 0 using cylindrical coordinates. Enter an exact…

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Q: Monte Germany: Attempt 1 Which equation is correct? 4x^(3)(6x^(2))=10x^(6)

A: 4x^(3)(6x^(2))=10x^(6)is correct?

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

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Q: Suppose g is a function which has continuous derivatives, and that g(0) and g"" (0) = 18. What is…

A: Suppose  is a function with continuous derivatives, and that .To find the Taylor polynomial of…

Q: Find the point on the curvey=+x where the tangent is parallel to the line y = x.

A: The slopes of parallel lines are equal.

Q: (a) The graph in the figure given below is made of line segments joined end to end. At which points…

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Q: Use polar coordinates. Find the center of mass of a two-dimensional plate that occupies the quarter…

A: To find the center of mass of a two-dimensional plate that occupies the quarter circle x2+y24in the…

Q: Consider the function defined by f(x) = sin(sqrt(|x|)).  A) What is the domain of this function?…

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Q: Find the function g(x) satisfying the two conditions: 1. g'(x) =-512x³ 2. The maximum value of g(x)…

A: To find the function  satisfying the following two conditions:(2) The maximum value of  is 5.

Q: Let g(x) = 6e* Determine the most general antiderivative of g. [6e²dx = [

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Q: 3. Use the figure to answer the questions. B M Answer: D C (a) Which pair of corresponding angles do…

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Q: 2. Find the domain and range for these functions: -2-1 y=fle

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Q: Let h(z) -5+42-42³ 2² Determine the most general indefinite integral of h. I -5+42-423 22 dz P

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Q: Evaluate the integral: · √2 9 1 + x² -dx

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Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 5 ​ft/min.…

A: A circle has an initial radius of 50 ftThe radius begins decreasing at the rate of 5 ​ft/min

Q: 800 The demand function for a widget is given by p= 90+ where p is the price of the widget in…

A: The given demand function is,

Q: x³ + 3x² = 1 3

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Q: 1 Assume that f'(4) = -5, g'(2), g(2)=4, and y=f(g(x)). What is y' at x = 2? 8 Atx=2, y'= (Simplify…

A: The chain rule of differentiation is given by

Q: Determine the critical numbers, if any, of the function f. f(x) = 3x² + 3x³ - 54x² - 81x + 21 Give…

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Q: Find the area of the region bounded below by the x-axis and above by the curve x = = 5 sin²(0), y =…

A: To find the area of the region bounded below by the x-axis and above by the curve .

Q: Suppose limx→cf(x) = 5 and limx→cg(x) = -2. Find: a. limx→cf(x)g(x) b. limx→c2f (x) g(x) c. limx→c…

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Q: Use calculus to show that if f(x) = (x − a)²g(x), where both f(x) and g(x) are polynomials, then…

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Q: x = 2. (a) lim Below is the graphs of f(x) and g(x), and their tangent lines at YA y = 1.8(x-2) 0 x…

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Q: (a) Evaluate the integral: S = 16 x² + 4 dx Your answer should be in the form k, where k is an…

A: Since you have posted multiple questions we will provide the solution only to the first question as…

Q: Compute the electric charge on the surface which is the portion of the cone z = √√3x² + 3y2 in the…

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Q: 2. S x³ +1 x³ - x² da dx

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: The graph of the function g(x) is shown as,Since parts a to c are already solved in original…

Q: Evaluate the integral fx² cos(4- x³) dx sin(4 — x³)+C O -sin

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Q: Consider the region below f(x) = (6-x), above the x-axis, and between x = 0 and x = 6. Let x; be the…

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Q: (t²-2t)³ 5t 4. The voltage applied to a 0.25-F capacitor is given by v=- 3.7 s. . Find the current…

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Q: [120 0230 0 0 2] O [1 20 240 0 0 2] [1 -20 -250 0 0 -2] [200 012 025]

A: The given matrices are

Q: 11. The quadratic function y = a (x - b)² + c passes through the points (-3,0) and (5,0). Its…

A: Question No. (11): The quadratic function passes through the points . Its maximum valueis 32. To…

Q: Let f" (x) = 6x - sin x. ƒ' (0) = 1, f(0) = 2. Find f(x) ○ x³ O x³ + sin x + 2 ○ x³ – sin x + 2 ○ x³…

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