2. Evaluate: S 0 trư √2 = x + x dx

Q: Find the point on the plane 5x + 4y + z = 11 that is nearest the origin. What are the values of x,…

A: First we find the distance(d) between a point (x,y,z) on the plane and the origin .Then form a…

Q: Use the shell Method to Find the Volume of the bounded by Solid generated by by revolving the region…

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Q: Evaluate the following integrals: 0 (Cartesian to Polar) Given the cartesian coordinate, find FOUR…

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Q: 4. Find f'(x) if f(x)= In (2x) + cos (6x)

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Q: Use the by revolving The C Type an 4 S 3. to the nearest AY N Ə Shell Method the shaded is Cubic…

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Q: Use Integration by Parts (IBP) to evaluate the following integral. ² ln(r) + ³ + C 2² In(z)-2³ +C…

A: integration

Q: 8. Evaluate z (9x² - (0x+6) dx

A: As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C And…

Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

A: Given query is to find the attached population after 15 years.

Q: Problem 2. Consider the equation z = x² + y² + 1 A. Find the equations for az- and yz-traces. B.…

A:

Q: 4x²8x + 5 on the interval [0, 5] by comparing values at the Find the minimum and maximum values of…

A: topic- application of derivatives

Q: 1) Find the area, in square units, bounded above by f(x)=6x² −9x−6 and below by g(x)=7x² −5x−3.

A: Here we have to find the atea Bounded by graph.

Q: 1. IF PLx) =5х4 Sox2+9х2 Find F'(x) and F'(2)

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Q: √x-3 x-3+√√√x²-9 Evaluate lim

A: Given query is to find indicated limit.

Q: 5s +4 83 None of the Choices. Option 1 5t + 2t³ 5t - 2t³ Option 2 Option 3 Option 4 2t + 5t³ 2t -…

A: Let's find inverse laplace of given  function.

Q: nd the area of the plane region bounded by y=sin x, y=ex, x T 2 T D 2-2 s.u. D 2 S.U. 2+1 s.u. T 2-1…

A:

Q: Evaluate the following integrals: O •(Cartesian to Polar) Given the Cartesian coordinate, find FOUR…

A:

Q: Find all the possible x-values of f(x)=√x - 2

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Q: 6.0 A force of 20 lb stretches a spring from a natural length of 7 inches to a length of 12 inches.…

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Q: Numbers 10,11,12 please

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Q: Find the particular solution (D² + 4D + 4) y = 0 when x = 0, y = 1 and y' = -1 What is the general…

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Q: 10.) Solve. Write the exact solution in terms of logarithms. el-3x = 4

A: This question can be solved using the concept of natural logarithm.

Q: Evaluate the triple integral [ 2³ dV, where E is the solid tetrahedron with vertices (0,0,0),…

A:

Q: 3 =+1)

A:

Q: Calculate the derivative of y with respect to x when sin(x + y) = 5x + 4 cos(y). (Use symbolic…

A: topic- derivatives

Q: Question 2 What is the slope of the tangent line to the graph of x² - xy - 4y² + 2x + 4y = 8 at (4,…

A:

Q: Complete the following. (a) The graph of y = g(x) is shown. Draw the graph of y = g(-x)+1. ? -8 -6 A…

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Q: The region bounded by the ellipse 16x^2 + 9y^2 = 144 is revolved about the x-axis. Find the volume…

A:

Q: Syy-mat sama dy ³

A: Follow the procedure given below.

Q: 3. Let R be the region below bounded by the parabola y = 4 – x² and the lines 3x - 2y + 3 = 0 and y…

A:

Q: Water is flowing in a conical reservoir 40 ft deep and 16 feet across the top at the rate of 2…

A:

Q: 6) Calculate - dx for z = ln(x + y²).

A:

Q: 2/ Find the equation of the tangent line at (0,0) to fex) = xex хе 2 -X

A: Given f(x)=xe-x2y=xe-x2Differentiate…

Q: Given z *- Find Z*** www.xy. www Option 1 Zxx = -2x³ Zxx = -2x-3 Option 3 Zxx = 2x 3 Option 2 none…

A: Given

Q: This question is designed to be answered without a calculator. If g(x) = si sint dt, then g'(x) = 0…

A:

Q: Find the value of the following mplicit derivative tan y-sec x=5 find...y'

A: Given query is to find the derivative of the expression.

Q: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

Q: 1. f cos³ 3x sin¹ 3x dx 2. fcsc4 5x cot4 5x dx 3. ƒ cos³ xdx from a = 0 to b = 2

A:

Q: This question is designed to be answered without a calculator. Let y = 2 sin (2x) and d'y =ky, where…

A:

Q: A particle moves along the path whose parametric equation are x = t³ and y = 12t2. What is the…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: A point P is moving along the curve whose equation is y=√√x³ +17. When P is at (2,3), y is…

A:

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

A:

Q: polar integral to find the area rusk 2) Use a enclosed by the three - petaled T = Singe

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Q: his question is designed to be answered without a alculator. Use this graph of function f. y 5+ 4 A…

A:

Q: Əw Given w = xysin(z²), x=s-t, y=s², z t². Find Əy əw ду = y sin z ² Option 1 O Option 3 aw = x sin…

A: Topic:- derivatives

Q: 1. Determine the radius of convergence of the series 1 + x/2 + x²/3 + x³/4 +...

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Given the following functions: ind: f(i(x)) f(x) = 3x² − 5x + 2 g(x) = 7x² + 3x - 1 2x - 7 h(x) = 5x…

A: Given query is to find indicated composite function.

Q: (CLO-1) Determine the horizontal asymptote(s) of the given graph. 12 10 Ox=4 and x = -4 Dy=2 Ox=2 Oy…

A: The given problem is solved below.

Q: 1. TⓇ S (a) Find the general indefinite integral. 2t² + t²√t-1 t² dt

A: topic- definite integral

Q: SORRY {CLO-1} Determine the horizontal asymptotes of the given graph. +8fx₁ 4 12-10 Oy=2 colorwa…

A: In given graph  ,it is easy to find a horizontal asymptote by visual inspection. Observe by starting…

Q: Directions: Complete the table below based on the given example. Answers for columns 3 to 5 must be…

A: the given problem is solved below in detail.