Use an integral table to evaluate the integral below. L XC -8 x(9x + 13) dx

Q: Find and classify the stationary points of (a) y = x  e- x (b) y = ln(x) - x

A: For stationary point of the function , the derivative is equal to zero .

Q: For a small farm, the cost in dollars to produce a containers of ice cream is C(x) = 0.6x + 14. The…

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Q: 15. Evaluate: f'(π) (Use the pi for answers with . Example: input 3pi/2 if your answer is 3π 2- = :…

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Q: dy dx (a) y = secr 2. Find (d) y = lnx (g) y = csc x

A: All the given derivatives are standard derivative result. Here we solve the derivatives using basic…

Q: Consider the following function. f(x, y) = xy - 3x - 3y-x² - y²

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Q: csc 2x lim *+0 csc 3x O O O O 23 N|C I N|W 3 2 23

A: Topic - limits We are given, limx→0-csc 2xcsc 3xwe know thatlimx→0sin xx=1anscsc x =1sin x

Q: Find a formula for the nth term of the sequence in terms of n. 5 5² 5³ 9 12 15 18 an 1 6 for n 2 1

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Q: 2. * The power rule combined with the chain rule. f(x)=√6x²-2

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Q: Find the following limit. x-2 lim 2 x→∞ √√4x²+3 X-00 lim X-00 x-2 2 4x² +3 11 (Simplify your…

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Q: 1 If f(x) = 2x sin−¹(x), find f'(x) = ƒ'(0.3) =

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Q: Exercise 3 ( Let f(x)=x³-9x² + 15x + 7. Find: 1- Areas of increasing and decreasing. 2- Local…

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Q: For the function f(x) = 2 tan(2x − 2) + 5, find the following. a. The stretching factor: b. The…

A: NOTE: Refresh your page if you can't see any equations. . here coefficient of the tan function is 2…

Q: Find the length of the arc of the curve y = ln x from z = 1 to x=3. Use integration by trigonometric…

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² - 8, (0,…

A: see below the answer and calculation

Q: Verify Green's Theorem by evaluating both integrals [ 1² dx + x² dx = √ √ √ (²-8²) CA dy - /…

A: Given data÷ ∫cy2dx+x2dy Now we need to find the value of integral along C1,C2,C3,C4   1) For the…

Q: dy Calculate using implicit differentiation. 증 4 27x=y

A: Given equation:- 27x=y4

Q: Find the length of the arc of the curve y = ln x from z = 1 to z = 3. Use inte- gration by…

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Q: (a) What does it mean for f to be differentiable at a?(b) What is the relation between the…

A: (a) Let f(x) be a function which is differentiable at a point x=a.It means that the function is…

Q: The drag coefficient, CF, is defined as: 1 1/2 3k (* (†) ¹/² d (†) x CF = 3k Where k is a constant,…

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Q: partial sum of an infinite series is 3n² 2 2n²+1 what is the sum of the series? If the nth Sn 1 . 1.…

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Q: A regular space pyramid has a base of 50 cm by 50 cm and altitude of one meter of a plane is passed…

A: Given:    An intersecting plane HIJK  parallel to  the base plane ABCD and at height of 15cm from…

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 77 6 - 1 00…

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Q: DETAILS SCALCET8 9.3.508.XP. Solve the differential equation. (Select all that apply y' = 9y² sin(x)…

A: Given query is to find the solution of the differential equation.

Q: A large snowball is melting so that its radius is decreasing at the rate of 4 inches per hour. How…

A: Volume of snowball=v in3Radius of snowball=r inch

Q: The base of a railing for a set of steps leading up to the front door of a house makes an angle of a…

A: I am attaching image so that you understand each and every step.

Q: ) Recall the allee effect model for population growth where the growth rate of a population of size…

A: To find the critical point of a function y=f(x) set f '(x) =0 and solve for x. Define the inflection…

Q: Find a polynomial Find a polynomial of degree 3 that has no real zeros (or explain why it is…

A: (a).   It is impossible to find a polynomial of degree 3 that has no real zeros.        Because…

Q: Suppose f is a one-to-one function with domain A and range B. What is the domain of f¹? 1. Cannot be…

A: NOTE: Refresh your page if you can't see any equations. . if the function f(x) is one to one…

Q: For what value of a is the following function continuous at every x? f(x): a²x-2a, x≥2 X<2 12,

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Q: For each of the following sums: (i) Estimate the sum for n = 10, 100 and 1000 (you may use…

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Q: Give the linear approximation L(x) of tan(πx) in x=1/4

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Q: Find the missing value for the radioactive isotope. (Round your answer to two decimal places.)…

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Q: Evaluate the following integral in spherical coordinates. 1/2 SSS (x² + y² + z²) dV; D is the unit…

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Q: Find the volume of the given solid region in the first octant bounded by the plane 15x + 15y +9z =…

A: See this solution in below.

Q: Find the inverse of f(x) f-¹(x) = = - 3x 4x - 2 1 -

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Q: 1. The total amount of money you have to invest is $1,400 and you deposit a dollars in on…

A: Topic - Algebraic operations We are given Total amount of money to be invested = $1400 Money…

Q: 2 2 If √√5-4x² ≤ f(x) ≤ √√5-x² for 1≤x≤1, find lim f(x). X-0 -

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Q: Let & and 3 be first quadrant angles with cos(a) Find cos(a + B). Enter exact answer, or round to 4…

A: As per the rules we are supposed to answer the first question and rest can be reposted.

Q: The number x of MP3 music players that a store will sell and their price p (in dollars) are related…

A: The number x of MP3 music players that a store will sell and their price p in dollars are related by…

Q: Use the limit definition of the derivative to determine f '(2) if gnibnoqonos su snimals (T ni 4 =…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, and y are positive.…

A: The given constraint equation is: x+y=20 Consider gx,y=x+y-20 And the function which has to minimize…

Q: Let f(x) = 2 csc (7x) f'(x) = - -14 cot (7x) csc (7x) X

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Q: H.W.. Solve the following equations... 3 2 3. ( y.). . . .xy? dy where y.(..)... ********…

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Q: 11. Graph of the derivative f'(x) The graph of the derivative f' of a continuous function f is…

A: Consider

Q: . Find the area of the region lying to the right of x = 3 and between the curve 1 y = and the…

A: Here we have to find the area.

Q: Do the following sets of vectors span R³? Select an Answer 1. 00 -8 -5 Select an Answer 2. 8 -14 -12…

A: Please see the below picture for detailed solution.

Q: 4. Identify the equation with a constant of proportionality of 8. 2y = 4x 8y = 8x حدد المعادلة التي…

A: Checking each option as shown below

Q: Compute the length of the curve r(t) = (2t, ln(t), t²) over the interval 1 ≤ t ≤ 3. (Use symbolic…

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Q: A dog food producer reduced the price of a dog food. With the price at $8 the average monthly sales…

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Q: 8 k=1 √k 1+k²

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