x² + (x + 2)2 + (x + 4)² + .… + (x + 2x)² lim x3 x00

Q: 2) Sketch the graphs of the functions f and g. f(x) = x2 + 2,    g(x) = 1/3 x3   Find the area of t...

A: The graph of the function fx=x2+2, and gx=13x3 can be plotted as shown in the figure below.

Q: Solve triangle ABC if A = 50°,α = 10, and b = 20.

A:   Let ABC be the triangle as shown in figure - ∠A = 50°Let,AB = a = 10AC = b = 20BC = c = ?Using cos...

Q: Evaluate the integral. sin (6t + 17) -dt CoS 2 (6t + 17) sin (6t + 17) dt%3D cos 2 (6t + 17)

A:

Q: 1 3 log2 (x + 1) – 4 log2(x* + 8) +log2(x – 10) -

A:

Q: The ratio of carbon 14 to carbon 12 in a piece of wood discovered in a cave is R= 1/8^14. Estimate t...

A:

Q: a. Find the derivative of f at x. That is, find f '(x). b. Find the slope of the tangent line to the...

A: Given,           fx=-4x+1 ; x=-1 , x=2

Q: Solve using matrices. -10x-15y-z=-6 -6x-25y-2z=43 8x+15y+z=-4 Select the correct choice below and, i...

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Q: A company needs 150,000 items per year. It costs the company $720 to prepare a production run of the...

A: From given, the preparation for the production cost is $720. The cost of producing an item is $18. C...

Q: Determine the following series converge or diverge.   a. ) convergent b. ) converge absolutely c. ...

A: Given ,  Here un = 1/(7+2n) lim n→∞ 1/(7+2n) = 1/∞ = 0 And  1/(7+2n) ≥ 1/[7+2(n+1)]  

Q: Decide whether the following are true or false giving a proof or coun- terexample as appropriate. (i...

A: We have identify the statements as true or false.

Q: If two sides a and b and the included angle C are known in a triangle, then the area of the triangle...

A: To Find  The Area of triangle.  

Q: A volume is described as follows: 1. the base is the region bounded by y = e, every cross section pe...

A:

Q: Let h(x)=x+2 and g(x) =Vx-5. Find (h-g)(-5). Select the correct choice below and fill in any answer ...

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Q: E. Find the general solution of the given higher-order differential equation y" – 5y" + 3y' + 9y = 0...

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Q: Use the limit process to find the area of the region between the graph of the function and the y-axi...

A: Given function is gy=4y2-y3   ....1 and limits are 1≤y≤3

Q: Solve the differential equation dy 2ay? + e + ( 2x y-4y 0. - dx a. 2æy? + e-2y2 = C O b. 2ay? + e + ...

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Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not evalua...

A: Given function is f(x)=x2+1+2x, 6≤x≤8 We know that by definition , an expression for the area under ...

Q: A farmer finds that if she plants 80 trees per acre, each tree will yield 75 bushels of fruit. She e...

A: A farmer finds that if she plants 80 trees per acre, each tree will yield 75 bushels of fruit. She e...

Q: Solve triangle ABC if A = 57°, α = 33, and b = 26.Round lengths of sides to the nearest tenth and an...

A:

Q: Given that f(x) =x-1 and g(x)=x-x, find (f+ g)(6), if it exists.

A: Given,          fx=x-1  and  gx=x2-x

Q: Find a set of parametric equations for the rectangular equation that satisfies the given condition. ...

A: Given: Y = X2  ------------(1), t=3 at point (3,9) To find:   Set of parametric equations for the re...

Q: Given the equation. Write these into standard form: 1. 149x2-849x+181y2-227y+193441=0 2. 19x2+10...

A: 1) Given,                                 149x2-849x+181y2-227y+193441=0                            ...

Q: Verify the identity.

A: To prove - sin2x+sin6xsin2x-sin6x = -tan4x cot2xProof - Taking left hand side of the given identity ...

Q: Find the point on the line 5x+2y+5=0 which is closest to the point (4,5)(4,5).

A:

Q: What are the critical points , stationary points and inflection points?

A: A critical point of a continuous function f is a point at which the derivative is zero or undefined....

Q: 12. Solve the following inequality by using a table/diagram. Write the solution set in interval nota...

A: Solve the following inequality by using a table/diagram

Q: Consider the function x) = x³ + x² - x + 4 on the interval (-3, 0). Find r(x). f"(x) = Find the crit...

A: We are solving the first three subparts and for the remaining subparts post the question again and a...

Q: find deriventine (9).5"(

A: As per the bartleby guidelines for more than one question only one has to be solved please upload th...

Q: The figure at the top of the next page shows a cable car that carries passengers from A to C. Point ...

A: Given

Q: Find a set of parametric equations for the rectangular equation that s y = 2x – 3, t = 0 at the poin...

A: let x = t + a put all the given points to find out the value if a x = 4 and t = 0 4 = 0 + a a = 4 so...

Q: Find the equation of the line joining the points (5, 9) and (-4, -6)

A:

Q: Country A has a growth rate of 3.7% per year. The population is currently 4,986,000, and the land ar...

A: we have given that   P0 = 4,986,000 is the initial population size. r = 37% is the annual interest  ...

Q: Please fine the exponential model y= ae^bx that fits the points shown in the graph. (The answer is y...

A: Given,         The graph of the exponential function is given below :        

Q: The annual net sales (revenue) earned by Nintendo in the fiscal years 2000 - 2014, can be approximat...

A: R(t) = Annual net sales revenueR(t) = -3.75t3 +65.8t2-206t + 578    (billion yen per year)When start...

Q: indicated substitution to evaluate the integral. (7x)cot (7x)dx, u=7x E (7x)cot (7x)dx= %3D

A: Given :           ∫42csc7xcot7xdx

Q: Question attached to image

A: Now, ∫03fx dx represents an area of a triangle with base of 3 units and height of 1 unit & also ...

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.