Use identities to write the expression as a single function of x or 0. cos (0+ 270°) cos 0 -sin 0 sin 0 -Cos 0

Q: In the following exercises, use direct substitution to show that each limit leads to the…

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Q: dr Let A be the area of a circle with radius r. If dt = 2, find dA dt when r = 1.

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Q: What is the total change of f(x), if f'(x) = 4x² + 6, over the interval [-1, 2]? -18 ထို့ကြ ကြ O O…

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Q: The graph shown is f(x) = In (x + 2). What is the integral function g(t) that defines the area under…

A: Given that, the function is fx=lnx+2. Note that, the area under the curve fx between a and b is…

Q: Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as…

A: The given triangle has measures, ∠A=26°, ∠B=51°, AB=22m

Q: f(x) = x4 – 8x2

A: Topic:- calculus

Q: What is the average value of f(x) between x = 1 and x = 5 forf (x) = 2* ? 32

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: The graph shown below is f(x) = 3x - 2. X If g(x) = f(t) dt, what is g'(-1)? f*

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Graph the integrand and use areas to evaluate the integral. 5 S (5-1x) dx -5 A. 50 B. 75 C. 25 - 2…

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Q: Find the area of the region enclosed by the graphs of y = tan (x), y = - tan (x), x x = 1/3. = (Use…

A: Given y=tanx y=-tanx and x=π3

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.)…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) =…

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Q: Evaluate the integral: B A None of the given choices O E (3e) 2+1n3 (3e) 3+ sinh2x (3e) 2+ 21n3 3+…

A: Solution is given below:

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Q: An object with an initial velocity of v(0) = 5 has an acceleration of a(t) = t² - 5. What is its…

A: Concept: The acceleration is given by the derivative of the velocity  That is a(t)=dv(t)dt Thus…

Q: 2. (a) If z = 1+ 3i and v = −2 − i then 1 A. + 2 B. Tin Tin + C. A. 2√6 e-in/6 B. 2√3 e-in/3 D. 2 10…

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Q: Find anti derivative of 4cscxcotx + 3/(sqrt(1-x2) - 1/(cubrt(x5)

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Q: Find an equation of a line that is tangent to the graph off and parallel to the given line. Function…

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Q: For the following exercises, construct a polynomial function of least degree possible using the…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Formula:

Q: f Find f+g, f-g, fg and - Determine the domain for each function. g . f(x) = 3x² - 17x + 10,…

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Q: Which integral would represent the area shown? The function is f(x) = −(x − 1)³ + 2. 5 4 3- 21 1 2 3…

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Q: 9. A missile is rising at a constant rate of 100 meters per second. An observer is 600 meters away…

A: Given speed of the missile is 100meters per second. an observer is 600 meter away from the launching…

Q: f(a+h)-f(x) The expression h and simplify the difference quotient. Find and simplify the difference…

A: The given function is f(x)=6x2-3x+6

Q: Find the angle between the pair of vectors to the nearest tenth of a degree. (9, -1), (-4,-1) 79.8°…

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Q: Find the absolute extrema of the function on the closed interval. h(s) 12 S-5 [0, 1] (s, h) =…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the equation of the curve whose slope at any point X-2 3-y and passes through (-1, 1

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Q: a. Let f(x) = sin(x). Find the Taylor polynomials up through order four of f cen- tered at x = .…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: . Find the y-coordinate of the centroid of the region bounded by y=x^2, y = 0, and x = 1. a. 2/3 b.…

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Q: Find the derivative of the function y=√4-3x.

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Q: Which recursive sequence would produce the sequence 7, 33, 137, ...? O a1 a₁ = 7 and an Ο αι = = 7…

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Q: 3 ne the area bounded by the functionsf (x) = (x+1) ³ andg (x)=x+ 1. one of the given choices 1 -…

A: Please refer to the image below

Q: 2-Consider the function defined by the base i) Find dz (ii) Prove that x дz ?x - дz ду z =…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: TT secx dx cot 3x

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Q: A cylindrical tank of radius 10 ft and height 15 ft is two-thirds filled with water. Find the work…

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Q: Xp X 300D S

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Q: Convert the angle to decimal degrees and round to the nearest hundredth of a degree. 62°21'7" 62.36°…

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Q: dy dx -5y=-tr, 5y = ³ 2 y(1)=1

A: The given differential equation is  dy/dx -5y= -5/2 xy3 , y(1)=1

Q: If (x + 1) dx A B S + 2 (x + 2) (x - 1) ² = √ √(x + 2+ = -²1 A (B) O E 1 9 1 9 1 2 9 3 2 3 2/3 None…

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Q: 4. Let g(x) = f(t)dt, where f is the function whose graph is shown. (a) At what values of a do the…

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Q: Q10. Evaluate the following Integrals. b) /V+³ de sin (1/2) C) de

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Q: A parabola can be drawn given a focus of (6, 3) and a directrix of x = 4. What can be said about the…

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy² = 2y + 1,…

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Q: ate algebra and Theorem 7.2.1 t 3s 10 s² + 25.

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Q: f(x) = 2 x-6x-7 8-2

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Q: 5) Evaluate the function: f(x+ Ax)-f(x) Ax for f(x) = 3x²

A: I have stated the used formula in the solution

Q: 9. The marginal cost of producing a tablet computers is C'(x)=1200.06x +0.000012² (a) What is the…

A: Concept: We have given the marginal cost in form of the first derivative Integrating it we will get…

Q: Each time your heart beats, your blood pressure increases, then decreases as th heart rests between…

A: p(t)=115+25 sin(160πt) is the pressure in mmHg, at time t measured in minutes.