13. Find an equation of the tangent line at the point where x = 2 for the function y = arctan

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Q: Find the following using the table below. 2 3 4 4 2 3 1 4 3 2 4 1 2 4 1 x f(x) 2 f'(x) g(x) 3 g'(x)…

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Q: Find the most general antiderivative of the function g(x) where 1-√x+2x4 (a) g(x) = x2 (b) g(x)=2e*…

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Q: 3 [²x². 1 x² dx, N=4

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Q: Find the divergence of the vector field F at the given point. F(x, y, z) = ex sin yi - e* cos yj +…

A: GivenF(x,y,z)=exsiny i-excosy j+z2 k

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Q: Let f(x, y, z)=x²+2xy-y² +2z+2y +4. Then the derivative of f in the direction of v=i+j+k at the…

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: When recording live performances, sound engineers often use a microphone with a cardioid pickup…

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Q: Suppose z = : x² sin y, x = −2s² – 5t², y = −4st.

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t…

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Q: Let f(x, y, z) = x¹y+ z² and x = st², y = s²t³, and z = st³. (a) Calculate the primary derivatives…

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Q: The marginal cost of producing the xth box of light bulbs is  13 − (x/30000),  and the fixed cost…

A: The marginal cost function is given as C'(x)=13-x30000 The fixed cost is given as C(0)=$20000.

Q: For n greater than7, find three consecutive integers n, n + 1, n + 2

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Q: A piece of cardboard measuring 14 inches by 11 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 14 inches by 11 inches is formed into an open-top box by cutting…

Q: Find the following integral. Note that you can check your answer by differentiation. 3 [ 1²(t³ − 2)…

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Q: Use the formula k(t) ||r' (t) x r' (t)|| ||r' (t)||³ r(t) = e¹⁰ti + e-tj to find

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Q: f(x,y)=x² + y²-3x+7. Then the critical points of fare: a. (1,0) and (1,1) b. (1,0) and (-1,0) c. (0,…

A: fx,y=x3+y2-3x+7

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = logg(12 - 4x)

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Q: Problem #1 A family of curves is given by x² - y² = k²_for k = {-00,00} Find the equation of the…

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Q: find the particular solution to the system of ODES x - -X ỷ=2x+y, b) given x(0) = 2 and y(0) : = a)…

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Q: Q12 Find and classify all critical points of f(x) = x³ - 3x² - 4 using the second derivative test.

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Q: The area of a circle is increasing at a rate of 8cm³/sec. How fast is the radius of the circle…

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Q: Where did you get the pi/4 from?, I'm having trouble understanding how you found the integral for…

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Q: Let f(x) = 3+2x– x³. (A) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF'…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: A graphing calculator is recommended. Consider the following. x = t - 2 sin(t), y = 12 cos(t), 0 ≤ t…

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Q: how would you go about simplifying the problem in part c

A: (-a340+75)2=602-a We will calculate value of a.

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Q: A company manufactures mountain bikes. The research department produced the marginal cost function…

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Q: 10. Find the Taylor polynomials P3 and P4 centered at a = 0 for f(x) = (1 + x) −³.

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Q: C(x) = Write the total revenue R as a function of the number of CD's produced. R(x) = Write the…

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Q: Find the present value PV of the given investment (in dollars). (Round your answer to the nearest…

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Q: Convert from polar to rectangular coordinates (13,) (Round your answer to 2 decimal places where…

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Q: North Mountain is a neighborhood in Phoenix, Arizona. The square footage and selling prices of 16…

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Q: Evaluate the integral using an appropriate substitution. ev 3y-8 S 3y-8 dy=0+ + C

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Q: 2. Find parametric equations for the following curve. The path consisting of the line segment from…

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Q: 100x² The dose-response for a specific drug is f(x) = x² +0.08' from a dose of a grams of a drug,…

A: Given dose-response function for a specific drug is f(x)=100x2x2+0.08, 0≤x≤1.5, x is in grams.