Find fo° f(x) dx if S2 for x < 2 for x > 2. f(x) =

Q: 2 4 2n 2 4 + 4 + 4 - n n n n is a right Riemann sum with n subintervals of equal length for the…

A: Given that a right Riemann sum with n subintervals of equal length.

Q: Employ trapezoidal rule to approximate value of the integral f(x) dx using the table given below. x…

A: This question can be solved using the concept of trapezoidal rule for n=4. Here we have taken…

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Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° WIN 4 150°…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: The given function is: h(p)=p-1p2+2 To find the derivative of the function using the quotient rule:…

Q: dx 4. x²+4x+13

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Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

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Q: (sin 3x sin 2x dx 3.

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Q: a?u 2. Solve 0, 0 < x < T, 0 <y<n, + и(0, у) %3D 1, и(п, у) — 1, 0 < y< n и(х,0) — 0, и(х, п) — 1, 0…

A: Solving

Q: Find the limit. 3x +3 lim 12x2 - 8 > Next Question

A: Given query is to find indicated limit.

Q: Consider the function below. f(t) = t + cost, -2n sts 2n (a) Find the interval of increase. (Enter…

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Q: x² 4x + 5 lim 3x а. x+5 lim b. x+7 x² - 49 x - 7 lim С. x² - 3x + 2 2 - 4

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Q: 1. Sand is pouring from a hole at the rate of 25 cu ft/s and is forming a conical pile on the…

A: Sand is pouring from a hole at the rate of 25 cu ft/s and is forming a conical pile on the ground.…

Q: Which of the following surfaces cannot be described by setting a spherical variable equal to a…

A: Here, note that the cartesian to spherical coordinates conversion is given by: x=ρsin ϕcos θy=ρsin…

Q: Choose the point which shows the correct location for the polar coordinate (1, 320°). 90° wIN 135°…

A: We have to find correct point name for co-ordinate for point (1,320°)

Q: How much will person pay for 4.5 pounds of banana at a price of 2.29$ per pound?

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Q: 1. Consider A = (0, 4, 2) , B =, (6, –1,0) and C = (3,0, 1). 1 (a) Find the unit vector having the…

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Q: should i write it with variables like x = 11, y = 11, z = 4? but it says exact number, no tolerance.…

A: The answer has exact form. You will not have to enter the variables.

Q: (a) Graph y = 200(0.45)0.7 for x= 0 to x= 10. (b) What is the initial value of this function (the…

A: We have to find the limiting value

Q: If g(t) = 2t* + 3t2 - 5 find g(0) = a'(0)

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Q: Calculate the angle 0 between vectors a and b when a = i – 2j + 2k , b = 2i + 3j + k %3D

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Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Let's find.

Q: Simplify arctan 4+ arctan 7. 0° 45° 90°

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Q: Match the conclusion of the D-test D(x,y) 0, f_xx (x,y) 0, f_xx (x.y) 0, f_xx (x,y) > 0 (x,y) is…

A: Given problem:-

Q: x +6x, xa everywhere.

A: A function g(x) is continuous at x=a if and only if limx→a- g(x) = limx→a+ g(x) =g(a) .

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: 1(x) (х+1)* II

A: follow the procedure given below.

Q: 2. Use the identity of inverse hyperbolic function to solve cosh-(2 – a2) = ln 2, for |æ| < 1.

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Q: First find f' and then find f. f"(x) = 10x³ + 2x? – 5x – 7, - f'(1) = –6, f(1) = -3. f'(x) = f(x) =

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Q: | 4x sech x2 tanh x2 dx A) - 2 sech x² + C (в) 2 B sech x2 + C sech x2 +C C 2x D) 4 csch x2 + C

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Q: = 0.3(1- 2) (-)P. dt 200 at time t. he population in equilibrium? he population increasing?

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Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 2,2), R = (-1,…

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Q: Write the equation for a sphere centered at the point ( – 1, 7, 6) and the point ( – 7, 7, – 5) is…

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Q: A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it…

A: We need to find sides that can minimize the cost.

Q: Q9. (a) The nth term of a sequence is 6- 2n Work out the first three terms of the sequence. (b) Here…

A: We can solve the given problem as follows:

Q: dx

A: We will use substitute method to solve this integrate

Q: Follow the solution in the picture below and show checking.  348610  B2 B8 B16

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Q: To begin evaluating S sin*(x) · cos³(x)dx, express a. sin*x to (sin²x)²and use the identity sin²x…

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Q: How much will a person pay for 4.5 pounds of bananas at a price of $2.29 per pound? alars. The price…

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

Q: (5) Use an iterated integral to find the area if the region. y y = 4 – x² 3 4 2.

A: Given; Now taking an elementary vertical strip. The area of the strip is: dA=Ldx∫dA=∫Ldx Where; L…

Q: 5. Jxе2x dx

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Q: () x² cos ,2 dx 3.

A: Given problem:-

Q: dx is x V16x2-25 3.

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Q: 3. Solve the equation cosh 2x + cosh x = 5 , giving x to three dec. places.

A: We have to find value of x for given Equation.

Q: 4. 4. | cotx csc*xdx

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Q: i an arithmetic series is 38. irst 40 terms of the series is 1250. the common difference of this…

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Q: 1.82 Let E CR be any unbounded set. Find an open cover of E that has no finite subcover. Prove that…

A: We will proceed as follows

Q: a. Find the critical points of f on the given interval. b. Determine the absolute extreme values of…

A: To find the critical points and absolute extreme values of the function and then graph the function.

Q: Convert the Cartesian equation x 2 + y 2 - 6x = 0 to a polar equation.  r² = 6cosθ r = 6sinθ r =…

A: The given Cartesian equation x 2 + y 2 - 6x = 0 ................................... (1)