1₂ O 2² x² + x2° In | co - 3 2 O O None of the choices O +∞ dx In 2

Q: 1. Carbon 14 is a common form of carbon which decays over time. The initial amount of carbon 14…

A: Please see the below pictures for detailed solution.

Q: Suppose that the position of a particle is given by s(t) = 4t³ + 5t +9. (a) Find the velocity at…

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Q: f(x) = = -2x² + 7 7x - 10 if x -1

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Q: ΣΠ n=1 a. 1+4+1 6n 61 5 b. 41 5 is equal to c. The series diverges. d. 66 5

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Q: A line passes through points A(-1,-5, 9) and B(8, 5, - 15). A vector equation for the line is 7=(-1,…

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Q: 3. State the components of a unit vector that is perpendicular to the vector =(5,2,-1).

A: To state the components of a unit vector that is perpendicular to the below vector v. v=5, 2, −1

Q: Suppose that the position of a particle is given by s(t) = 5t³ + 6t+9. (a) Find the velocity at time…

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Q: Determine the limits of the following Limit/ 1-c05 (22²) Ayo sinx

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

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Q: the interval that f(c) = k. there exists a value c, where <C Must there exist a value of c in the…

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Q: Find the tangential and normal components of acceleration. r(t) = (cos(4t), sin(4t), 3) ат an = II

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Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

A: Please see the below picture.

Q: Consider the function f(x) = r? – 5 +4 x + 1 a. Find the first derivative. f'(x) = b. List any…

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Q: Use summation properties and formulas to rewrite and evaluate the sum. 31 Σ [(3i)² – 6i] - i=1

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Q: EQUATIONS 5y" - (y) = y³ sin æ 4 x yy" + 2x = tan x ºr + (5) - w = 4et St2 88 SM - (SM) dy³ xt' +…

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Q: If the substitution y = x is made, the integral - 1 64 2 3x³ 3+x² 3x³ 3 + x² .64 18x8 3 + x² S™ [²3…

A: The objective of the question is rewrite the integral  and choose the correct option.

Q: A3. SOLVE STEP BY STEP IN DIGITAL FORMAT Define g(8) for the given function so that it is continuous…

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Q: Find the area of the region enclosed by y = 3.25x and x = 3 - y². 2 Use horizontal strips to find…

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Q: A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or…

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Q: Solve the differential equation [cos (2y) - 3x²y²] dx + [cos (2y) - 2x sin (2y) — 2x³y] dy = 0 - a.…

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Q: 2. f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives…

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Q: 3.4k Σ Evaluate 7k

A: Given ∑k=3∞3.4k7k

Q: 3 If ƒ (x) = 2 + x, evaluate Σƒ (k+1). k=1

A: We can answer the question as below.

Q: 8 Sex dx Calculate

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Q: 8. A trapezoid has its vertices at (0,0),(a,h), (a + b1, h), (b2,0), with all the letters denoting…

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Q: 1) Think of a multivariable function that might model something in your own work, hobbies, family,…

A: Consider the temperature in a room, T=Tx,y,z which depends on the position of the point in a room,…

Q: A manufacturer can produce 4320 cell phones when a dollars is spent on labor and y dollars is spent…

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Q: Find the area under the curve y 9 x over the interval [1, 5]

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Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

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Q: d the equation of the tangent line to the curve y = 5x cos x at the point (7, e equation of this…

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Q: 4) Activity 5: Check for Understanding (10 mins) A. Obtain the general solution of the given…

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Q: x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your…

A: Topic:- application of derivatives

Q: = Approximate the area under the curve y = x² from x with 6 subdivisions. 3 to 6 using a Right…

A: We have to approximate the area under the curve using Right Endpoint Approximation.

Q: Use summation properties and formulas to rewrite and evaluate the sum. [(31)²-41] i=1 Next Submit…

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Q: A particle moves along the x-axis so that its position at time 0 ≤ t ≤ 18 is given by x(t), whose…

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Q: dr Let A be the area of a circle with radius r. If dt = 4, find dA dt when r = 5.

A: Area of a Circle , A = πr2 ; where, 'r' is the radius of the circle .

Q: 4. Solve the following equation by completing the square. Be sure to show all steps. (round answers…

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Q: Suppose an investment of $9,000 is invested at an annual rate of 9.4%, compounded continuously. What…

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Q: The graph of y=f(x) is shown below. Find the values of f(x) for x=0,x=3 and x=6

A: Here we have to find the values of f(x).

Q: Given the function f(x) = −4 sin³ x, find ƒ'(x).

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Q: The following table shows the rate of water flow (in L/min) through a dam. 1 5 9 13 17 21 25 t (min)…

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Q: Let f(x) x³ + 6x² 36x +11. = (a) Use the definition of a derivative or the derivative rules to find…

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Q: 3 2 -1 2 we rational function f(x) = 1 3 Q 20 2.5r2 +4 > identify the int

A: Topic:- calculus       Definition:- If the second derivative of a function is negative on some…

Q: -10-8 6 4 2 2 4 6 8 10 2 4 6 8 10 X

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Q: 9. Given vectors = [3,-6,8] and v= [4,-2,-5], determine uxv.

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Q: Five years after purchase the auditor of a newspaper company estimates the value of their printing…

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Q: Suppose that f(x, y) = e e-x² - 2y² + x Then the maximum value of f is

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: The given integral is ∫x3-6x-4dx Integral formulas, ∫xndx=xn+1n+1+C∫dx=x+C

Q: Which of the following is a possible equation for the following trigonometric function?

A: To find which of the given equation is possible equation for the trigonometric function.

Q: Determine the limit of the following by using l'hospital's rule

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