Use the General Power Rule to find the derivative of the function. g(x) =    9 − 7x g'(x) =

Q: 20-21) What is the equation of the tangent line to y = x3 at x=2? A) y = x - 12 B) y = 12x C) y = x-…

A: Use derivative for finding the  equation of tangent line .

Q: 8. Evaluate the integral by using trigonometric substitution 4x-x2

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Q: opportunity loss will always result the same decision as maximum Expected value ?   2-Prove…

A: 1) Expected Opportunity Loss = EOL   Expected Maximum Value = EMV FOR PROVING , Let Regret Table :…

Q: y" – y" – 6y = 0 = () A) Verify that yı = 5, y2 = e-2x and y3 = e* are solutions of the DE. %3D B)…

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Q: A company is constructing an open-top, square-based, rectangular metal tank that will have a volume…

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Q: Test the series below for convergence using the Root Test. 3n 6n + 2 n=1 The limit of the root test…

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Q: Divide and simplify. 4nº – 28nº + 16n? 6-28n° - 4n4 4n -28n5+ 16n2 n4 - 7n3 +4 (Simplify your…

A: Divide and simplify

Q: Solve the problem. Round your answer, if appropriate. As the zoom lens in a camera moves in and out,…

A: We have to find the rate of change of Area.

Q: Find a general solution. Check your answer by substitution. ODES of this kind have important…

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Q: Evaluate the integral. 4 f(x) : 16 – x2 if -4 < x < 0 0 < x < 4 f(x) dx where if

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Q: repetitions.) P(x) = x - 4x2 - 19x 14 X = Write the polynomial in factored form. P(x) =

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Q: (4) Draw y=2

A: Solving

Q: 1. Use Green's Theorem to find the counterclockwise circulation and outward flux for the given filed…

A: As per bartleby guidelines we only give first question answers.

Q: Rewrite the product as a sum or difference. sin(-x) sin(3x)

A: Topic = Trigonometry

Q: ! Consider the nonhomogeneous DE: y" + y' - 6y = (12 – 16x)e*. A) Verify that y, = 4xe* is a…

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Q: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = −0.3x3 +…

A: Find your answer below

Q: List the critical numbers of the following function in increasing order. Enter N in any blank that…

A: To find: The critical points of the function and then list them in increasing order. Given…

Q: 25 [x' sin xdx 27 |x' sin xdx 29 x’ sin xdx

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Q: Use the Ratio Test or the Root Test to determine the convergence or divergence of the series. 1 1 1…

A: Given problem:-

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

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Q: Solve for x. Record solution using boxes below. Then answer graph questions. (Given solution in…

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Q: By about how much will f(x.y.z) = In /x +y +z change if the point P(x.y.z) moves from Po(6,1,3) a…

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Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y= 11 x,…

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Q: Sketch the region of integration, reverse the order of integration, and evaluate. cln z a dy dr

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Q: Find and sketch the level curves f(x.y) =c on the same set of coordinate axes for the given values…

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Q: Given the differential equation y''−3y'+3y=0,  y(0)=2,  y'(0)=−2 Apply the Laplace Transform and…

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Q: The population x of a certain city satisfies the logistic law d.x 1 1 || dt 100 (10)8 where time t…

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Q: 5. Compute the arc length exactly y = x2 - In x , 1< x < 2 4

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Q: lim Sin (x-B) XB (x-B)

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Q: 2. Find the work done by F in moving a particle once counterclockwise around the given curve C F =…

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Q: 2 4 dpx. (px)2 ACS = 1

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Explanation of the answer is as follows

Q: Differentiate. Use correct notation to label your answer. HA 10 end f (x) = 4c0s TX COS

A: Explanation of the answer is as follows

Q: Use the Ratio Test to determine the convergence or divergence of the series. n5 3n n = 1 an+ 'n+ 1…

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Q: QUESTION 4 dx where x# 0 x² In(Ixl) +c In (13x1) +c 3ln (Ix1) +c QUESTION 5 7894 142 Ma

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Q: Find the derivative of the function. y = 9 x + 3 y' =

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Q: Find (f1)'(0). dt f(r) ((0) =

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Q: Find the length of the segment of the curve y = f (x) = e ^ x between the abscissa points x = 0 and…

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Q: Determine the magnitude of the complex number, X. X = 5 + -9j ---------------------       x=5+…

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Q: 7 Find the area of the surface generated by revolving x = 2/4-y, 0sys about the y-axis.

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Q: Find the third derivative of the function. f(x) =  5 x

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Q: The average rate of change of Ax) = x +x -x-1 over the interval o<xs1 is -2 1 O -1 2

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Q: find tait U3 exedy in radicans

A: Solution:

Q: Is the set Z of integers countable? Why or why not? How about the set of all odd positive integers?…

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Q: For each of these relations on the set {1,2,3,4}, draw the graph of the relation: {(1,1), (2,2),…

A: For each of these relations on the set {1,2,3,4}, to draw the graph of the relation.

Q: Let f(z) = V – 2. The slope of tangent line to y = f () at z = -1is %3D Answer:

A: The given function,            fx=x3-23

Q: Consider the geometric series Σ (-3)» +1 n=0 a) ): What is the first term of the series First term=…

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Q: T rsinx S"Stnx y dy dx 2 dx dy

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Q: a) Determine if the geometric series below is convergent or not. Σ 10"-1 n =1 3n +1 The series is…

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Q: Test the series below for convergence using the Root Test. n2n (In(n))" n=2 The limit of the root…

A: To solve thsi question we will apply the concept of root test and limit.