EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS: Identify the u and find 4 sec?x dx

Q: Evaluate the following limit, if it exists : lim_ (tan 292 – sec 29z) 58 Note: Write the exact answe...

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Q: 2. The coordinates of the point where the curve y = Inx has a tangent with slope of e are: d. (e,-1)...

A: Slope is already given. And for slope we have to find dy/dx  and then simplify. 

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 54x2/3 − 4x ...

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Q: 65x 3. A new book has its monthly revenue given by R(x) = „121 where x is the number of months after...

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Q: If 972 cm? of material is available to make a box with a square base and an open top, find the large...

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Q: y S(x) = 88 + 51lx2 - 0.5x3,

A: answer of given question is in step 2

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

A: We can find the integration as below using standard formula.

Q: Solve the dff oq 2. 3. 3. %3D 1

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Q: 1/8 | x In (8x)dx

A: To find the value of integral substitute 8x=t

Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate (de...

A: We are given the death rate function as R(x)=5x² − 35x + 108 where x is the weekly amount of exercis...

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 40 v cos 40 d0

A: We can find the integral as below.

Q: Question 1 dx: A True B) False

A: The integration of the integral xsec(elnx^2)tan(elnx^2) equal to the integration of the integral is ...

Q: When the qiven function f(x) = cx^3 - 3x^2 + dx - 4 is divided by (x+2), the remainder is -34. When ...

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Q: Σ -(2.r – 1)3". 14+1

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Q: 95% c

A: answer of given question is in step 2

Q: Use a double integral to find the area of R, where R is the region bounded by y-axis, y = In r, y = ...

A: Area , A = ∫∫R dA = ∫∫R dx dy    or  ∫∫R dy dx. Note : There are two different question . As per Our...

Q: -1.5z – 7 if I 2 4- -8 -7 -6 -5 -4 -3 -2 -1, 1 23 4 5 6 7 8 -2 -4- -5- -7 8- Clear All Draw: Note: B...

A: Topic:- function

Q: Write an equation to represent the following statement. 33 is 15 less than k Solve for k.

A: solve for the value of k

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

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Q: (х-2)* Use the Ratio Test to find the real numbers x for which the series =L k° converges. (Use symb...

A: Given the series is ∑k=1∞ (x-2)kk9

Q: 3. For what value of x will the slope of the tangent to f(x) = 3*e* +5x +17 be equal to 5?

A: We can solve the given question as follows:

Q: Solve the following system, if possible. T1: X + 8y - 2z = 5 T2: 4x + 7y + 2z = 0 T3: 5x - 10y - 10z...

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Q: The table gives the annual rates of growth of a country's population for selected years from 1970 pr...

A: Solution:

Q: Let f(x) and g(x) be described as in the graphic below, with the red function being f(x) and the blu...

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Q: The general term of a sequence is given. Determine whether the given sequence is arithmetic, geometr...

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Q: Activity 1. Complete Me! Differentiate 2x + 2y? = 162 below by completing the table. %3D Steps Solu ...

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Q: A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are re...

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Q: Evaluate 8x'dx by the Gaussian quadrature method.

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Q: Find a power series representation centered at 0 for the following function using known power series...

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Q: 2. Determine if the series (-1)3n 1 n4 n=1 converges or diverges.

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: To find the units such that there is maximum profit for production level.

Q: Find the area of the region bounded by the given curves. y = 9x In(x), y = 36 In(x) %3D

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Q: Robinson makes $200 a week and spends his entire income on running shoes and basketball shorts. Writ...

A: We have to find the algebraic expression for the above statements.

Q: The sum of one positive number and the square of another equals to 21. Choose the numbers so that th...

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Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index ...

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

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Q: S e'mx' dx Inx?

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Q: 1. Use the Euler, improved Euler and Runge-kulta methods to Solve the folllowing ODE s: 42 y =0 C. y...

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Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm. ...

A: a)Area of the box (A)=x.x+2xh+2xhA=x2+4xh75=x2+4xh  [Since A=75 cm2]75-x2=4xhh=14x75-x2Volume of the...

Q: Find the average value of the function over the given interval. (Round your answer to three decimal ...

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Q: Find the derivative of the following. Factor and simplify your solution completely. No negative expo...

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Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the are...

A: By using graphing utility to graph the region bounded by the graphs of the equations. Then to find t...

Q: Evaluate the definite integral. 1 xp 9 + (x + 5)2

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Q: Ilxě dx

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: S 4 sec2x dx 2. tan?x+2tanx+5

A: Evaluate the integral  4sec2x/(tan2x+2tanx+5) 

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region a...

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Q: Question 1 Determine whether each series converges or diverges. Be sure to name the test 4n+1 (a) (i...

A: Since multiple questions are asked in multiple subparts. I am doing the first question only.

Q: Consider the sequence a, = 4**+3" (a) Is the sequence monotonic pr non-monotonic? If it is monotonic...

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Q: 3z +2 Find the inverse of f(z) 2z +5 g(2) = %3D

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