ntegral. 1 3t(2 – t)²dt -1

Q: Find all first and second order partial derivatives of the function f(x,y) = x^3 sin(xy^2) + 3(x^4)y...

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Q: Draw the graph of the following functions and give the domain  and range of each.

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Q: 5. Find the integral 1 -dx x -5x +6

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Q: Use linear approximation, i.e. the tangent line, to approximate v81.1 as follows: Let f(x) = Vx. Fin...

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Q: 2. is the branch of science that deals with the collection, organization, analysis, interpretation, ...

A: Given; ? is the branch of science that deals with the collection, organization, analysis, interpreta...

Q: Solve the following  complex numbers in their rectangular form: log(2+4i)((3.0642+2.5712i)(-2.0806+...

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Q: 7x Use – ∞ and co when appropriate. Find the limits in a), b), and c) below for the function f(x) = ...

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Q: Use a truth table to represent the following statement. Ensure that you explain the steps taken. Rox...

A: Given:     1.Roxanne, Sam and Thomas will attend the play if and only if Vince doesn’t attend,     2...

Q: Determine if the given function is continuous on each of the given intervals. A. f(x)=3x³+4x²-x+6 1....

A: This question is related to Functions, we will solve it using given information. 

Q: Find distance from point (-6, 3, 5) to the plane – 2y – 4z = 8| -

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Q: Given the differential equation y"' + 7y" + 6y' = 10x sin(4x) Find the Differential Operator for the...

A: Topic = Differential equation

Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a- ...

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Q: Evaluate the expression using the order of operations. (22 - 9+ 3) - (42+3•5) (22 -9 + 3) - (42 +3•5...

A: We know that BODMASThat is Bracket-Division-Multiplication-Addition-Subtraction.Given (22-9÷3)-(42÷3...

Q: Given the differential equation y" - 2y' - 15y = 3x + cos(5x) (1) Find the combined differential ope...

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Q: Two people run for 13 seconds with velocity functions vi = a m/s for person A and vz = 3/Tm/s for pe...

A: Topic = Algebra

Q: п+3 а. Zn=1 2n-1.

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Q: There is a relationship between perceived corruption and human development in a country that can be ...

A: Given  H(x)=0.3+0.28 In x                 where H(x) is Human development index                     ...

Q: Solve the following initial value problem: (1+x²)y/ – 2xy = (1+x²)², y(1) = 6. %3D |

A: Given:     1+x2y'-2xy=1+x22             ,           y1=6

Q: 3x – 2 if x 10 lim f(x) = lim I+10+ f(x) = f(10) f(x) cannot be made continuous because lim f(x) do...

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Q: The temperatue of a town t months after January can be estimated by the function f(t) = – 28 cos( + ...

A: The solution can be seen below.

Q: Prove that for all x > 0 and all positive integers n x2 e* > 1+x + 2! +3 +: 3! x" + n! Recall that n...

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Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in mete...

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Q: C. а, %3D 3, аn+1 2an ; untuk n > 1

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Q: By how much cloth price rose during the

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Q: 1. [(x + 1)(3x – 2) dx

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Q: f(r) = sin x cos z %3D

A: Topic:- derivatives

Q: %3D 3. Given a geometric sequence where a= - 128 and a,= - 512. (a) Using the nth term of a geometri...

A: Given

Q: 5-18 Evaluate the surface integral. 13. (x':+y') dS. S is the hemisphere x + y + 4, : 13. 167

A: Given:    x2 + y2 + z2 = 4       ,       z> 0

Q: Determine if continuous f (x) = V4-x at x=0 %3D

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Q: 1. Н: у%3DNx+1 2. g: y=|x|

A: Given :H : y=x+1g : y=x

Q: Sketch the region enclosed by a + y = 6 and æ + y= 0. Decide whether to integrate with respect to a ...

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

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Q: Consider the following. Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to ...

A: The given function f(x)=arc sin(2x) at the point 24,π4

Q: Find the volume bounded by the paraboloid z = 1+ 3x? + 3y? and the plane z = 16 in the first octant.

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Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance...

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Q: 1 n = 2

A: Telescoping series are series in which all but the first and last term cancel out.

Q: On the graph of f(x) = tan x and the interval [-27, 0), for what value of æ does the graph meet the ...

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Q: 6. data are those that can be counted and assume only a countable number o values. A. Continuous C. ...

A: Use the definition of data and choose the correct answer

Q: Find the domain and range of the function. Use interval notation to write your result. f(x) = sqaur...

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Q: What is the critical point of the function f (x) = cos x?

A: what is the critical point of f(x)=cos(x)? for critical point, f'(x)=0

Q: EVALUATE AND SOLVE THE LINEAR DE. d²x dx + 2,+ 5x = 8e¬ dt2 dt dx When t=0,x=0 dt 8 =

A: Given that: d2xdt2+2dxdt+5x=8e-t

Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

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Q: X^2+Y^2)+2XYdx/dy+2xy, Find differential exact equations

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Q: To find the General Solution, we match each part of our Differential Operators to the table below, w...

A: option D

Q: Sove the differential equations (2y- 2x + X 1+ x²yz

A: Check given differential equation is exact or not. i.e.    My = Nx

Q: 1. Given r(t) = 2 cos ti + 2 sin t j+ 10tk; 0 < t < 2n , find the tangential and normal components o...

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Q: Solve the first order differential equations dy – yln(yecosx)dx = ysindx

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Q: In Exercises 69-74, use the function value to find the indicated trigonometric value in the specifie...

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Q: A tank contains 4,000 L of pure water. Brine that contains 35 g of salt per liter of water is pumped...

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Q: Evaluate the integral. 1 2187 19683 3e° 2187 e 4

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