Sketch the graph of the derivative of the given function.

Q: ep 2 1 33-3 The derivative of the first term, -2y -3 F'(y) = 1 + 16 Step 4 Now, using the Product…

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Q: For the function ​f(x)=x−2/x−3​,find f′′′​(x), the third derivative of​ f and f^(4) (x), and, the…

A: Given query is to find second, third and fourth derivative.

Q: For f(x)= x + 1 and g(x) = 2x²-x-3, find (g- ^)(x). O 2x²-2x-2 O 2x²2-2x-4 O 2x2² 42x+4 O -22²-2

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Q: The graph of a function y = f(x) is shown. At which points are the following true? A. When dy/dx…

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Q: Ley y = tan x. (a) Find the differential dy. dy = sec²(x) dx (b) Evaluate dy and Ay if x = π/3 and…

A: Let y =tanxa Let's find the differential of dy by taking the derivative with…

Q: When the cost of producing a VCRS is given by C(x) = 200+ 500x - 400 lnx, x ≥ 1, the average cost…

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Q: Solve the following inequality. 2x² < -5x+7 Select the correct choice below and, if necessary, fill…

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Q: Sketch the region D = {(x,y,z): x² + y² ≤4, 0≤z≤ 3}.

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Q: Calculate the total force (in Newtons) on a side of the plate in the figure, submerged in fluid of…

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Q: Let f(x) = -x42x³ + 8x + 7. (a) Find the interval(s) where f(x) is concave up. (Enter your answer…

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Q: 3. y sinx + 2x²³ COSX 5. f(x) = 5sinx + cosx

A: (3)  y=sinx+2x-3cosxd dx(sinx)=cosxd dx(cosx)=-sinxd dx(ab)=bdadx-adbdxb2

Q: 2 For the function f(x)=√x² +4, find f''(x). Then find f''(0) and f''(9).

A: Given query is to find indicated derivative.

Q: 3 3x³

A: function

Q: Write a polynomial f(x) that satisfies the given conditions. Polynomial of lowest degree with zeros…

A: Given: Polynomial of lowest degree with zeros of -1(multiplicity 1), 2( multiplicity 3,)and  f(0)=16

Q: The weekly marginal cost of producing x toaster ovens is 31 +0.12x dollars per toaster oven. Find…

A: Given query is to find cost function.

Q: Use the Factor Theorem to determine whether x - c is a factor of f(x). f(x) = x³ + 6x² - 14x + 16; x…

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Q: S Evaluate the integral using partial fraction method (x²+5) (x² + 1) (x − 3) (x − 8) - dx

A: To evaluate the following integral by using partial fraction method. ∫x2+5x2+1x-3x-8 dx

Q: Maximizing Revenue The quantity demanded each month of the Sicard sports watch is related to the…

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Q: Assume that z = f(x, y) is a continuous function over the region R. Assume a = 2. a R r=a a x…

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Q: The graph of the following function is a linear function.

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the given graph represents…

Q: Find the radius of convergence for Σ(-12, 2012

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Q: In a circular city of radius 4 kilometers (centered at (0,0)), the population density is given by…

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Q: Suppose that P₂(x) = a + bx + cx² is the second degree Taylor polynomial for the function f about x…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: olve. 0= p4-625=0 (Simplify your answer, including any radicals and i as needed. Use integers or…

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Q: The average value of f(x, y) = (3x + 4y)³ on the region R = {(x, y) |0 ≤ x ≤ 2,0 ≤ y ≤ 2} is: 4000

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Q: For the quadratic function f(x)=x²-2x-8, answer parts (a) through (c).

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Q: ving the ial value lane the differential equation. problem depends In each of Problems 13 through…

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Q: = = (*) (4) ¹9) 3x 5x-4x

A: Given that fxy=3x-y2x+y and gxy=3x5x-4y. We have to find the matrix A for f∘g.

Q: Find fax, fay and fry for the function f(x, y) = (1+x+y)e¯xy Select one: a. None of these b. fxx –…

A: Consider the given function : f(x,y)=(1+x+y)e-xy

Q: Find the slope of the tangent line to the curve 6 sin(x) + 2 cos (y) — 4 sin(x) cos(y) + x = 4π at…

A: Given:The equation of curve is 6sinx+2cosy-4sinxcosy+x=4π   We are required to find The slope of the…

Q: A box is contructed out of two different types of metal. The metal for the top and bottom, which are…

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Q: solve the DE 200y'+25y=200 with initial condition of y(0)= 4

A: I have solved step by step in detail .....go through the solution

Q: 2. Determine a sinusoidal function with the given characteristics: sine function; amplitude is 2;…

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Q: (a) Determine which of the following statements are correct. Select all that apply. sin (1) = 0 O…

A: according to bartleby policy we do only first part (a)  (i)  we know sin(0)=0sin(π2)=1

Q: 2 ppose that the Celsius temperature at the point (x,y,z) on the sphere x² + y² + z² = 1 is T =…

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Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by xy² + 2xy…

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Q: What is the amplitude of the function f(x) = -8.2 sin (3.8) +6.7? Enter your answer in the box.…

A: Given equation:- fx=-8.2sinx4-3.8+6.7

Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limi lim(2 sin(2t) ln(2t))…

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Q: x=6667 That's it! To maximize its profits, how many copies should Phonola produce each month? (Round…

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Q: 3 √9-22 IT ! -3 0 3. (Section 16.5) Consider 9-x²-y² (b) Evaluate the integral. y dV. (a) Graph the…

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Q: 8. n(x) = ( ) = (2x + cosx) (-sinx-x²)

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

Q: Use the limit comparison test to determine whether an lim n→∞ bn lim n-x J n=2 n=2 an = n=2 1 (a)…

A: Given that ∑n=19∞8n+22n5+2n2+5Use limit comparison test

Q: Using the Laplace transform, solve: y" +9y=r(t), y(0) = 0, y'(0) = 16, - where r(t) = 8 sint if 0…

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Q: Let a, b, c and y be the three dimensional vectors ā= = 4j+5k, b = −3i+5j+8k, c=4i-5j, y=-i-5j…

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Q: Find the first four Taylor polynomials about x = xo, and use a graphing utility to graph the given…

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Q: Evaluate (if possible) the vector-valued function at each given value of t. r(t) = t²i – (t − 1)j

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Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform (7₁ lo, t≥ 5 L{f(t)} = f(t) L{f(t)} = =…

A: The given data is: ft=7, 0≤t&lt;50, t≥5  Find Lft

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform f(0) = { - 1/1 -1, 1, Complete the…

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Q: Given f(x, y) = -4x³ + 4zy² - 5y², find fz(x, y) = fy(z, y) =

A: Given query is to find indicated derivative.

Q: The marginal profit of a product is given by P'(x) = 18-0.04e0.1x dollars per item, where x is the…

A: Given:- P'x=18-0.04e0.1x