The limit is a right-hand or left-hand Riemann sum Σ f(t;)Δt. For t; = πί/n, write the limit as a definite integral. n-1 lim Σ 5 cos( i=0 πίπ n k/? n

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) - 6) = lim (5x² + 3x + x-1

A: The given limit is: limx→1  (5x2+3x+6) Find:- To evaluate the given limit.

Q: Integrate the given function over the given surface. G(x,y,z) = y² over the sphere x² + y² + z² = 1

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Q: At the time a bowl of ramen is served, its temperature is 100 degrees Fahrenheit. The ramen's…

A: To find out the temperature after 3 minutes of the Ramen.

Q: The figure shows the region of integration for the integral. 16-x² 4-x [*^ A Rewrite this integral…

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Q: Find the volume after rotating the region bound by the following two curves around x axis.…

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Q: Evaluate the definite integral 5π 3 5π 3 4 sin (x) dx = Number So using Part 1 of the Fundamental…

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Q: Find the general solution of x2y" - xy' + y = x ln (x)

A: The given differential equation is:x2y''-xy'+y=x ln(x)

Q: f(x) = eet

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Q: The great pyramid has base length b=235 meters and height h=147 meters. Assume one side of this…

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Q: The percent P of defective parts produced by a new employee t days after the employee starts work…

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Q: Given f(x) = 2x+5 Evaluate f(6)

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Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.6% per year. That…

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Q: Use Theorem 2.1.2 to find the slope of the tangent line of f-1 at x = -1. Given f(x) = -2 + 4x/x + 3…

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Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

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Q: Consider the following initial value problem: 0≤t<4 t≥4 y" + 4y = (7t, 10, y(0) = 0, y/(0) = 0 Using…

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Q: A silo (base not included) is to be constructed in the form of a cylinder surmounted by a…

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Q: 27. Given log₂ 5 ≈ 1.7712, find x for log₂ 54 = x

A: Given that log25=1.7712 To determine  x for log254=x

Q: Use the Remainder Theorem and synthetic division to find f(-6) for f(x) = 2x³ +6x²-26 x+ 20 Use the…

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Q: Evaluate the triple integral U= 2x-y 2 > Y 2 Remember that: V= and w= ГСГ z 2 X 3 +4 f(x, y,…

A: We have to evaluate the integral.

Q: Use Theorem 2.1.2 to find the slope of the tangent line of f-1 at x = sqrt3 / 2. Given f(x) =…

A: The given function is f(x)=cos⁡(3x)   To find: (f−1)'32=?

Q: (5) If f(x) = sin (2²), which of the following is true ? (A) There is a local minimum at x = 0 (B)…

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Q: Determine lim_g(x) for g as in the figure. x-0.5 1.5 y 0.5 lim_g(x) = x→0.5 y = g(x) -X (Give an…

A: Find the limit limx→0.5gx

Q: Evaluate the line integral, where C is the given curve. √ XY. xyz² ds, C is the line segment from…

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Q: You are designing a rectangular poster to contain 50 in.2 of printing with a 2-in. margin at the top…

A: Top and bottom margin:  2 inchSide margin:  1 inchArea of the paper after margin is: 50 in2

Q: Express the repeating decimal 1.16 as a fraction. a. 16 100 Ob., 16 1 99 01 e. 15 99 17 99 16 100

A: To represent the recurring decimal as a fraction.

Q: Use the Fundamental Theorem to calculate the definite integral. Give an exact simplified answer. 1/3…

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Q: Use Stokes' Theorem to evaluate fF.dr, where F = zzi+zyj + 3rzk and C is the boundary of the portion…

A: We have to evaluate the integral using Stokes theorem.

Q: The weekly profit (in dollars) from the sale of two products is given by P(x, y) = 70x + 90y - x² -…

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Q: Consider the integral Find the Riemann sum for this integral using right endpoints and n = = 3. ||…

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Q: Determine the interval on which the function in the graph below is decreasi -12 -10 -8 O a. [6, 10]…

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Q: 2x+y 5x+6y Find [/02/53 -dA, where R is the parallelogram enclosed by the lines R 2x+y=0, 2x+y=9,…

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Q: d) How long after 1950 will the value of the painting be $3 billion? year(s) (Do not round until the…

A: Part a to c have already answered , so i am solving the part d) on the basis of the information…

Q: The solid 3D object obtained by rotating the region bound below by the x-axis, bound on the left and…

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Q: Find the derivative. f(x) = x³ · log4(x) Give your answer using the form below. xª(B + C logò(x)) A…

A: To find out the derivative of the given function.

Q: + Sketch completely and identify the surface r² y² = 1

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Q: Find the integral. Use C for the constant of integration. [ (t + 1)² dt t²

A: The integral is given by ∫t+12t2dt To determine: the solution of the integral.

Q: 10) Find the decay rate for element x if the half life is 300 years

A: Law of Decay x = x0e-ktWhere x = amount after time t x0 = initial amount k = decay rate t = time

Q: Find the derivative. *x² 1²² ₁ d dx In(6 + t²) dt

A: Here we need the Leibneitz integral rule   ddx∫a(x)b(x)f(x,t) dt = f(x,b(x)) ddx(b(x)) -  f(x,a(x))…

Q: Obtain the Differential Equations for the following Family of Curves described. Note: provide the…

A: Figure

Q: If $1100 is invested in an account that pays 4% compounded annually, the total amount, A(t), in the…

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Q: Find the nth Maclaurin polynomial for the function. f(x): = 1 1- x n = 6

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Q: f(x, y) = sin(x - 4y); P(4,1); NOTE: Enter the exact answer. Duf u= i

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Q: 29. f(x)= = ex+1 +x 2ex - 1

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Q: A swimming pool has a depth of 4 ft at the shallow end and 8 ft at the deep end. The bottom of the…

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Q: Let f = {(1, 2), (3, 4), (2, 6), (5, 9}. Find the domain of f

A: Given function  f = { ( 1 , 2 ) , ( 3 , 4 ) , ( 2 , 6 ) , ( 5 , 9 ) }

Q: Evaluate the following definite integral using the Fundamental Theorem of Calculus. 1 3 In 6 0 0…

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Q: The velocity of a car is f(t) from t=0 to t = 10 seconds. distance = = 13t meters/second. Use a…

A: The velocity of the car,  f(t)=13 t m/s Time taken t=0 to t=10 sec

Q: 8) A ship leaves the Port of Miami and sails 60 kilometers due east. The captain then brings the…

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Q: olid obtained by rotating the region bounded by the curves y = sec (r), y = 1, z = -1, and x = 1…

A: These are multiple question and we can do maximum only 1 question according to company so i am doing…