lim- LIMIT VALUE: z²-16

Q: Evaluate the iterated integral. 6 [[° (x + y) dy dx

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Q: 5. a) All edges of a cube are expanding at a rate of 3 cm per second How fast is the volume changing…

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Q: Plot each of the given complex numbers in an Argand diagram and label all the necessary parts. Also,…

A: Since you have submitted multiple questions, according to Bartleby policy I'll solve the first…

Q: The function f(x) = 3 - 4x - 2x2 is shown on this graph. f(x) 6 + 2 그 What value of at corresponds…

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Q: 21 te 1 1 1-2 1-2 None of the alternatives are correct If L <=lim In p-400 then f(t) is 0+2

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Q: 10. | x³(lnx+1)8x* dx

A: To evaluate the integral: I=∫xx(ln x+1)8xxdx=∫8xxxx(ln x+1)dx

Q: Convert the point from cylindrical coordinates to spherical co (3,2,0) (p, 0, 4) = || X

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Q: a²z 0²z Determine + Ər² მ02 if z = tan-1 0 r + r r²+02

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Q: Calculate the work expended when a particle is moved from 0 = (0,0) to Q = (4,4) along the segments…

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Q: 3.In 2 X 3x + 1) = ² ₁ X ‚ y'

A: Let us consider the expression, ax+by=c Using Implicit differentiation on both side we get,…

Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m − n)] dx…

A: Let's find.

Q: Use the graph of f to describe the transformation that yields the graph of g. f(x) = 6*, g(x) = 6x +…

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Q: At the end of each month, for 36 months, $300 is put into an account paying 7% annual interest…

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Q: Let ₁1 and In+1 = limit. 1 for n N. Show that this sequence is convergent and find its In + 2

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Q: This is the length of the major axis, not the minor axis.

A: Apologies for the inconvenience.   Given equation is: 7x2+y2=49 We write it in the form: x2a2+y2b2=1…

Q: 25-28 Use Theorem 5.5.4 and appropriate formulas from geometry to evaluate the integrals. 25. L²₁ (4…

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Q: Use AMNP, as needed, to complete the given parts. 18 cm 15 cm h cm 16 cm Part 1: Part 2: Part 3:…

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

Q: 27. ·√ √(x + 2√1-x²) dx _28. [₂ (2+√9 − x²) dx -3

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Q: A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent.…

A: From the given series we have to check the convergent and divergent of the series.

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x) dx.

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Q: Use the given series to find the Maclaurin series of the function f(x). f(x)=x²cos3x Use the series:…

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Q: | 12 – 2 – 1 2x - (x − 1)²(x² + 1) dr

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Q: Find the derivatives of the following function (a) y=4²-3+2√ 2x+3 (b) y=2

A: We can answer the questions as below to find derivatives

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: As per our guidelines we are supposed to answer only three sub parts. For the solution of first…

Q: Find the derivatives of the following function (a) y=4²+2√²

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Q: Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below. ਨੀਲੀ 27 π 70 21…

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Q: d. √ 1² ( 12/7) dx 3

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Q: Evaluate the iterated integral. LS²(x+y (x + y²) dx dy

A: Given query is to find the value of the integral.

Q: x +4 x² + 2x + 5 dr

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Q: 5, i, Evaluate the first and second derivatives of the function z=2x4+3x3+2x-5 when x = 4.

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Q: [10 sin(2x) cos(2x) √ cos²(2x)-5 dx O a. 5 (cos² (2x)-5) ³/5 + C 3 5 O b. -(cos² (2x)-5)³/2 + C OC.…

A: To evaluate the given integral.

Q: b) Determine whether the series n=1 find its sum. Show All Your Work! n-l is convergent or…

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Q: Given that the tangent and normal to a curve at point P(x, y) meet the x-axis in A and B…

A: It meets the x axis in A and B respectively and y axis in D and E respectively.To Find: Family of…

Q: Direction: Provide a complete solution when necessary. A. Solve the following Systems of Non-Linear…

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Q: The sec√x dx is {A}=sec x³/2 + C {B} ²sec ³/2x + C 3 {C} 2 In sec √x + tan √x {D} In sec √x + tan √x…

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Q: If F(x) = f(t) dt, where f is the function whose graph is given, which of the following values is…

A: F(4) is the answer.

Q: 4 1. y = cost-sin ¹ t 2. y = (2 tan² 20-1)/²

A: Given : 1) y= cos4t-sin4t2) y=2tan22θ-112   To Find : Derivative of the given functions.

Q: 2. Boyle's law for the expansion of gas is PV = C, where P is the pounds per square inch of…

A: P V =Cdifferentiating w.r.t. time t;P dVdt+VdPdt=0P=5000 pounds per square foot.V=8 ft3dVdt=4…

Q: If f(x) = sinx and g(x) = cosx, then what is the relation between g'(x) and f""(x)?

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Q: y = (In x) x , find dy/dx. Oy y' = (In x)* (1 + ln x) O y' = (In x)*¹ [1 + x (ln x) (ln ln x)] O (E)…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = t2…

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Q: 10. x*(lnx + 1)8** dx

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Q: A company can buy a machine that is expected to increase the company's net income by $15,000 each…

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Q: For the following: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the…

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Q: Decide whether the integral is improper. [ In(x²) dx proper O improper Explain your reasoning.…

A: Here we have to decide whether the given integral is improper.

Q: The cos³4 dy is {A}-sin+sin³¹+C 3 4y 4 3 3 {B}sin-sin³¹+ C 3 4 3 (c)-sin-sin³+C {D}sin+sin³+ C

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Q: 2 The √tan x secxdx is {A} tan³/2x-tan7/2x + C {B} tan³/2x + ² tan7/2x + C {C} tan5/²x + tan7/²x + C…

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Q: Determine if y=5 cos x and x=31²-5t+3 dx

A: Given,             y=5cosx , x=3t2-5t+3To find : Determine dydt

Q: f(x) = 1x4 + 1⁄2x³ 3x² +5 f(x) 20 15 10 W -8 -6 -4 2 4 6 -5 -10 -15 -20 Determine intervals on which…

A: Given query is to find inflection points.

Q: Evaluate the iterated integral. 16-y² ST Jo (x + y) dx dy

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