1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x axis, the line x = 1, and the curve y = 4-x².

Q: Find angle t [in EXACT form] for the following terminal points on a unit circle, 0≤ t < 2π (a) P(0,…

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Q: all company of science writers found that its rate of profit (in thousands of dollars) after t years…

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Q: 1. A curve in the plane is defined parametrically by: x(t) = t +1 and y(t) = t2-5t +2. a)Convert the…

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Q: Evaluate the function at the given values of the Independent variable. Simplify the results. g(x) =…

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Q: Find the area between the curves. 1/5 6/5 y=x, y = 4x ... The area between the curves is (Do not…

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Q: 9-x2 x dx

A: ∫9-x2x2dx=∫cot2udu=∫ -1+csc2udu=-∫ 1du+∫csc2udu=-u-cotuSubstitute back…

Q: For the following problems, draw graphs of f (x), which is continuous, over the interval [-4, 4]…

A: The function fx is continuous on the interval -4,4 and has absolute maximum at x=2 and has absolute…

Q: Let R be the region below the curve y = 4x², to the left of above the x-axis. Find the centroid of…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = P(2, 3, 4),…

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Q: nd the largest oper 1 Where f(x)=x²

A: topic:- calculus

Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule. Compare these…

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Q: Problem 2.4 Evaluate lim (√²+x-=-) x X

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Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 3- W…

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Q: ∞ Determine whether the series (-1)-In -1/3 is absolutely convergent, conditionally conver- n=1

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Q: Evaluate the following integral: Stan x sec³ x dx

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Q: -5 -4 -3 -2 -1 midline: y = amplitude: 7 period: -1 -4 q Determine the midline, amplitude and period…

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Q: Find the radius of convergence and interval of convergence of the series n=1 (x - 5) n n5n

A: Radius and interval of convergence

Q: -y(2x+y) x(x+2y) - y'=-

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Q: Solve the given differential equation by undetermined coefficients y" - 8y' + 16y= 12x + 6 y(x) =

A: Given:         y'' - 8y' +16y = 12x+6

Q: Consider the following differential equation to be solved by variation of parameters. y" + y =…

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Q: An exponential function f(x)=abxf(x)=abx passes through the points (0, 8000) and (2, 3920). What are…

A: An exponential function fx=a.bx passes through the points 0,8000 and 2,3920

Q: The height y (in feet) of a ball thrown by a child is 1 y = - -x² + 6x + 3 12 where is the…

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Q: 3. Find the equation of the tangent to the curve 3xy-y²= 7 at the point (.1).

A: Follow the procedure given below.

Q: Analyze the following graph of f'(x). Select all of the intervals over which f(x) is concave down.…

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Q: (2x +3y) dx + (y +2) dy = 0

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Q: Determine whether or not F is a conservative vector field. F(x, y) = (my + ²)i + (mx + 7);

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Q: Solve the given differential equation by undetermined coefficients. y" - 8y' + 16y = 12x + 6 y(x) =

A: The given differential equation is;  y''-8y'+16y=12x+6.

Q: Evaluate the limits. If a limit does not exist, enter "DNE". You may use a GRAPH on Desmos or plot…

A: Here we have to use the concept of limit

Q: 2 termis U

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Q: CHAPTER 6-General Health and Population Indicators The next three questions relate to the following…

A: 1) Infant Mortality Rate   2) Maternal Mortality Rate 3) Crude Mortality Rate   due to Cancer 4)…

Q: Two cars start from rest at a traffic light and accelerate for several minutes. The graph shows…

A: Given :The velocity of the graph of Car A and car B is given in the graph.And we know that the graph…

Q: Plot the pair of points and find the slope of the line passing through them. (0, 0), (-9, 13) Step 1…

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Q: 4. Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x³ - 9x on the…

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Q: Estimate the minimum number of subintervals needed to approximate the following integral an error…

A: The solution is given below

Q: Find the limit: lim (1- cos x) sin x+0+

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Q: y = (2x₁³ - 6) 9 3 Find day 3 dx²

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Q: Find the length of the curve. 1 10x3' y 6 + 1 ≤ x ≤4

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Q: he base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x². Cross…

A: To find the volume.

Q: How long it would take to double an invesment if the rate of interest is 10% compounded quarterly?

A: Follow the procedure given below.

Q: 1. Sketch the graph of r=1-cos in polar coordinates. [3 marks]

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Q: 2 (D² +8D³² +16) y = - sinx Ans: Y = C₁ cus2x+ C₂ Sin2x + C3 Xcos2x + C4 X sinex-_-_sing

A: Solution of given question is written in below steps.

Q: When Newton's Method is used to approximate the root of f(x) = x³ + 2x² - 1 in in the interval [0,…

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Q: 1 Find the partial derivatives with respect to x for the function f(x,y) f = O O 9y³ x-y 9y3 (x-y)2…

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Q: What is the directional derivative of f(x, y, z)= In x 2 + 2y2 + 4 z 2 at the point P(-1. 2, 4) in…

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Q: Write an equation for the function graphed below -7 -6 -5 y = 4 110 123 ku 3 4 5 6 a

A: We can  formulate the equation of the function by using the vertical asymptote and the  intercepts.

Q: 3. A white wine at room temperature 70° F is chilled in ice (32°F). If it takes 15 minutes for the…

A: The solution is given below

Q: I = √x f(x, y) dy dx-

A: ∫01∫0xf(x,y)dydx

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y² + 4, (1, 2) Vf(1, 2) =

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Q: Find the Laplace Transform of f(t) = te cos(3t) (A) B D s+1 s² (s+ 1)² +9s² = ((5+1) ²+9) S s²…

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Q: Consider these three examples: A. S 1dx 1+x² B. f sin²x C.S.sin x dx We want to solve one using a…

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