If f(x) = 3 arctan(7x), find f'(x). Find f'(3).

Q: derivative

A: To find the derivative of the given function.

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A: Given: The part of the plane  z = x + 5  that lies inside the cylinder  x2 + y2 = 1.

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A: It is given that,  y=x2   and  y2=x Therefore,                    x2=x ⇒x4-x=0⇒x(x3-1)=0 ∴  x=0,1…

Q: Find the area bounded by the parabolas y = 6x-x and y=x²-2x. Note: The parabolas intersect at points…

A: since you have posted multiple question, i can do first question as per our company guidelines.…

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Q: Q3 Let f be a function defined by the graph below. In addition, suppose 1.². f(x) dx = -a for a…

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Q: 9. values Fund the absolute maximum and minimum of the function over the indicated and indicate the…

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Q: (a) Find the average number of job seekers during the period t=0 to t= 10.

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Q: The height of an object t seconds after it is dropped from a height of 280 meters is s(t) = -4.9t² +…

A: Average velocity = total distancetotal time Mean Value Theorem The mean value theorem states that…

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Q: Find lim (a + 2ar + 3ar² + n→∞ .. +nar"-¹) where |r|< 1.

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Q: Consider the following. √² (6-5) 5x) dx (a) Find an approximation to the integral using a Riemann…

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Q: An open box is built in the shape of a cuboid, with the length of the base twice as long as the…

A: Width b=xLength l=2xHeight h=2700-x23x

Q: 4. Evaluate and x² + y² ≤ 2. dA where R is the region in the xy-plane for which x 21 (x² + 3²)² R

A: The given integral is: ∫∫R1x2+y22dAwhere R is the region in xy plane for which x≥1 and x2+y2≤2.

Q: way that their intersection is a circle of radius r. and r so that the volume inside the small…

A: Subtract the volume of the cap of the bigger sphere from the volume of the small sphere's hemisphere…

Q: 1. Find the general solution for the given IVP y" - 4y' + 4y = 2e2t - 12 cos(3t) - 5 sin(3t) with…

A: here two questions are not related so i need to solve 1st one only according to bartleby guidelines…

Q: Consider the indefinite integral (ln(z))²–—– dz. This can be transformed into a basic integral by…

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Q: (a) Find parametric equations for the line through (5, 2, 4) that is perpendicular to the plane xy +…

A: x-y+2z=1 px0,y0,z0=5,2,4 Line through Point px0,y0,z0 is perpandicular to the plane x-y+2z

Q: The function f(x) = 2x³-42x² +270x-3 has two critical numbers. The smaller one is x = and the larger…

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Q: sin(49t) sec²(cos(49t)) dt

A: given integration :-∫sin(49t)sec2cos(49t)dtthen we have to evaluate it

Q: A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- 4x+600. What…

A: The average cost is given by C=0.03x2-4x+600

Q: For the function of three variables, find the partials fx, fy, and f₂. 1 = (x² + y² +2²)* f <<= =…

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Q: Evaluate the surface integral flux of F across S. For closed surfaces, use the positive (outward)…

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Q: Graph the exponential function. f(x)=2((1)/(2))^(x) Plot five points on the oraph of the function,…

A: The given function fx=212x. We have to sketch the graph of the function.

Q: Find the area of the region enclosed between f(x) = 0.3x² + 9, g(x) = = x, x = −2, and x = 2

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Q: Find the work done by the force field F in moving an object from P(-7, 5) to Q(1, 5). F(x, y) y

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Q: Find all the zeros of the function g(x) = x³ - 3x² - 15x+125 O -5,2+31, 2-3i O -5,4+3i, 4-3i O…

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Q: A O $5 O $1 O $910 O $10 the Rumber of toys produced. In the long run, what will be the average cost…

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Q: Determine the composite function fog and gof. For each composite function state the domain and…

A: Here given that f(x) and g(x)  are two functions and we find composite function or f0g and g0f.

Q: Find an equation of the set of all points equidistant from the points A(-1, 4, 3) and B(4, 2, -3).…

A: We use here distance formula,

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Q: dy dx general solution y as an explicit function of x. (ii) What is the particular solution…

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Q: xy Find the linear approximation to the equation f(x, y) = 4₁ 6 approximate f(4.12, 6.12) f(4.12,…

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Q: Find the indicated vector. Let u = (1,5), v = (-4, 6). Find u + v. 19 2

A: NOTE: Refresh your page if you can't see any equations. . given vectors are

Q: A subject in a psychology experiment who practices a skill for x hours and then rests for y hours…

A: SOLUTION:-   Given, A subject in a psychology experiment who practices a skill for x hours and then…

Q: 3) Integrate √√√x-csc² 4 + sec(3x) tan(3x))dx

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Q: Find the maximum for the profit function, P = 15x + 25y subject to the following constraints. 3x +…

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Q: Find the tangent plane to the equation z = 2x² - 3y² + y at the point (5,0,50) Z= Basic Funcs Trig

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Q: Find the inverse Laplace transform. 53+5

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Q: Find the point on the plane x+y+z=0 that is closest to the point (1,1,1).

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Q: The average value of the function f(x)=√x+2 on [2, 7] is equal to Select one: O True O False 38 15

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Q: Find the solution of the following initial value problem. 9'(x) = 7x [xº - 17); The solution is g(x)…

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Q: Use the Divergence Theorem to compute the net outward flux of the following field across the given…

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Q: Evaluate using integration by parts or substitution. Check by differentiating. In (x+11) dx

A: Consider

Q: 1+x 1+x² dx

A: We are required to find: ∫1+x1+x2dx

Q: Solve the given linear 1st order IVP. Give the largest interval I over which the solution is defined…

A: y'+tanxy=cos2x ,y(0)=-1

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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