2. Find the arc length function associated to the curve y = ln(cosx), where 0

Q: Find the derivative of the following function using the Fundamental Theorem of Calculus. F'(x) =…

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Q: Given h(w) Degree of h = 8 -0.016(4-2w)(-10-3w) (2w+7) answer the following questions: . The leading…

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Q: Use the method for solving equations of the form following differential equation. dy dx 19x + y - 19…

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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. In 3…

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Q: Show that f(x) = x² + 12x +41 -2 -x² 12x - 31 ifa >-6 2 if x < -6 if x = -6 has a removable…

A: The given function,The aim is to prove the function has a removable discontinuous at  and redefine…

Q: Find the Maclaurin series of 00 Ε n=0 Τ sin(t) t3 - dt.

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Q: dz дz Find the values of and at the given point. дх ду 2z³-4xy + 5yz + 2y³ - 35= 0, (3,3,1)

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Q: cos(x) Find the derivative of cot(x) by using sin(x) the quotient rule on this form, and then…

A: Cotx=cosx/sinx

Q: derivative y = 3 2(4x-1)

A: Given that the expression to find the derivative of the given expression

Q: Use the spinner shown. It is equally probable that the pointer will land on any one of the eight…

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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

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Q: Differentiate. Please use positive fractional exponents of lowest terms rather than decimals in your…

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Q: A solid ball is thrown straight upward from the ground y0 = 0 feet with initial velocity v0 =…

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Q: in millions of dollars). Determine how these four sectors would react to an increase in demand for…

A: To determine how these four sectors would react to changes in demand, we can use the concept of the…

Q: Use the Point-Slope form of a straight line to find the equation of the line which passes through…

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Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A: To find a linearization at a suitably chosen integer near a at which thegiven function and its…

Q: Consider the integral 1² Estimate the integral using the Trapezoid rule and n=4 intervals. (x5 -…

A: Approximate the integral ∫−22(x5−10x3−1)dx with n=4 using the trapezoidal rule.

Q: XPXV!(*2) U!S l/m O

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Q: A car drives down a road in such a way that its velocity (in m/sec) at time t (in sec) is = 2t¹/2 +…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of dy dx -0 y = - 4x cos(x)…

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Q: Find dy for y=3x4-5√√/7x. dy=[

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Q: Consider the function f(x) = 8 3x - 1 - (a) Compute the derivative f'(x) of f(x) using the limit…

A: given

Q: Determine whether the equation is exact. If it is, then solve it. e'(7y - 4t)dt +(3+7e¹) dy = 0 A.…

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Q: Write the following in standard form and explain your work. 9y² + 11x² + 132x +297 = 0

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Q: (7 dy dx X = 0 = y - xy³² y = 21/12/2 -2x Answer: G = 17

A: We use the Bernoulli differential equation concept to solve given differential equation.

Q: Assuming 4x³ - 5y² - 9xy = 0 defines y as a differentiable function of x, use the theorem dy dx Fx…

A: 4x3−5y2−9xy=0F=4x3−5y2−9xy

Q: derivative y = 3 2(4x-1)

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Q: 28. Using the method of "First Principles" and showing all steps, determine the derivative of the…

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Q: compute delta y and dy for y=f(x)=1/sqrt(x^2 +1) when x=2 and delta x is 0.1. please round delta y…

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Q: If tan(0) = -and sin(0) > 0, then find (a) sin(0) = (b) cos(0) = (c) sec(0) = (d) csc (0) = (e) cot…

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Q: Differentiate the function. Dy/dx y=1/(5x+8)^3

A: y=1(5x+8)3

Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

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Q: Find the derivative of g u g(x) (2)=√1² +38 du u 5

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Q: Find two positive real numbers whose product is a maximum. (Enter your answers as a comma-separated…

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Q: Write the quadratic function in standard form. f(x) = 2x² - x + 1 f(x) = Sketch its graph. -10…

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Q: 6. ( Determine whether the following two lines are parallel, skew, or intersect. If they intersect,…

A: To determine whether the following lines are parallel, intersecting or skew.If they intersect, then…

Q: 60 50 40 30 20 10 10 20 30 40 50 60 70 80 90 100 110 120 The daily receipts R( t) in millions of…

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Q: A ball of radius 13 has a round hole of radius 3 drilled through its center. Find the volume of the…

A: The radius of the Solid is The radius of the hole in the center is

Q: Sym 3. A. Is the function 3 = x + 2x y = C₁ x = y² + 1 Even, Odd, or Neither? le cast B..y = x²³² +…

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Q: Use the unique factorization theorem to write the following integers in standard factored form. a.…

A: The given numbers,(a) (b) (c) The aim is to write the numbers in standard form by using the unique…

Q: Solve the IVP. 1. (sin x) y' = (cos x) y + 1, y(7) = 0

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Q: Find the critical numbers of the function. g(t) = t√13-t, t < 12

A: To find the critical numbers of the following function.

Q: Find the velocity and position vectors of a particle that has the given acceleration and the given…

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Q: Let f(x, y) = y²x − yx² + xy. (a) Show that the critical points (x, y) satisfy the equations y(y -…

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Q: Given y = f(u) and u = g(x), find dy dx y = tan u, u = 11x-4 = f'(g(x))g'(x) = dy -= f'(g(x))g'(x)…

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Q: Find the area under the curve Y=2x-3 from x = 8 to = t and evaluate it for t=10, t = 100. Then find…

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Q: 2. Let P be the point (-3, 5, 4). (b) Find the distance from the point P to the yz-plane. Find the…

A: Let P be the point .(a) To find the distance from point P to the yz-plane.(b) To find the distance…

Q: Find the vertex, focus, and directrix of the parabola. ​(x+3)+(y-1)^2=0

A: The given equation of parabola

Q: 2. An object weighing 27 pounds is thrown downward with a speed of 2 ft/sec and falls to the ground…

A: weigh of the object = 27 poundsdownward speed = 2ft/sWind resistance = 3% of the square of the…

Q: f(z) 2+3x1x², find f'(5).

A: f(x)=2+3x−4x2, find f′(5).