dx

Q: Which of the following functions are O(x)? (Choose all that apply) O a. 2x O b. xA + x2. O c. x log ...

A: We have to find out

Q: Determine the equation of the orthogonal trajectories pf the following families of curves: straight ...

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Q: Figure 8.14 a. Write a Riemann sum approximating the area of the region in Figure 8.15, using horizo...

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Q: The City Council proposed to utilize a government-owned d with an area of 15, 000 square meters. One...

A: Given: Since the total land area is 15,000 square metres. And, one-third of the area will be used to...

Q: Evaluate lim (e3 2.x) -

A: This question is related to limits, We will solve it using given information.

Q: Find values of x, if any, at which the given function is not continuous. SK) = |r° – 3x²| O f is not...

A: If g(x) is a polynomial then g(x) ( absolute value function ) is everywhere continuous. Now the give...

Q: nitially, there were 100 milligrams of a radioactive substance. After six hours, the mass decreased ...

A: initially there are 100 milligrams of a radioactive substance. P=100 mg after 6 hour the mass decrea...

Q: e2x dx= 1+e* A A 2e2x - In(1+ e*) +c B 8 e2x - In(1 + e*) + c C) e2X + In(1+ e*) + c D D ex - In(1+ ...

A: From the given problem: I=∫e2x1+exdx  ....1 Use the substitution method to calculate the given integ...

Q: k+3 SAx+kidx=8, where k is constant, then J fx)dx=? If k-1 A) 8 B 8+k 8-k (D) k-8

A: We will put  x+k =t 

Q: Optimization Problem Solve the following problems. Show the COMPLETE and STEP BY STEP SOLUTION 1. Ta...

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Q: Н.W. 2) Inx = dy = 1 dx dy 1) = ex-y 3) /2ху dx dy y

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for...

Q: 1 y = cos (2*)

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Q: with a sine function. 7. The graph of y = a sin x +3, a 2 3, never touches the x- axis. %3D _8. The ...

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Q: ek+3 1 f(x)dx=? k-1 If f(x+ k)dx=8, where k is constant, then А) 8 В) k-8 c) 8-k D) 8+k

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Q: A particle is moving along a horizontal line according to the equation s = 3t2 − t3, t ≥ 0, where s ...

A: Instantaneous velocity is given by the derivative of position function. The particle is moving to th...

Q: ,10 1 If f is a continuous function and F'(x)=f(x) for all x € R, then J x)dx=? ® [F(10) – F(2)] © 2...

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Q: 2. Water is being poured into a spherical bowl of radius 4 cm at a rate of 2 cm/s. How fast is the w...

A: topic - application of derivatives note : As per bartleby guidelines, we are supposed to answer only...

Q: Find the extrema by a) finding critical numbers, b) setting up a sign line, and c) listing extrema. ...

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Q: 3. x+1 dx

A: let I=∫5x32x+1dxput 2x+1=u2x=u-1x=(u-1)2and  2x+1=udifferentiate w.r.t. x2dx=dudx=du2I=∫5(u-12)3udu2...

Q: yf- 16y = z– 4z?. Use implicit differentiation to find the equation of the tangent line to the graph...

A: The objective of the question is determine the slope of the tangent and also evaluate it's equation ...

Q: determine the equation of the orthogonal trajectories of the following families curves: Circles thro...

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Q: Hence, using chain rules find y' i. y = sin(2x² + tan(6x² – x)),hint: u = 2x² + tan(6x² – x) ii.y = ...

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Q: x²+8X +1D A: critical #:-4 mint (-4-6) dec:(-00,-4) inc: (-4,00 8.

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Q: (-1)" Consider the alternating harmonic series . n=1 By using this series, display an argument on ho...

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Q: S2tan J2tan x In (cos x) dx=

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Q: A curve has a slope -X+2 of at each point (X,y) on the curve. Which of the following is an equation ...

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Q: 15 If f(x)dx= J f(x)dx=5, then fx)dx=? and 2 А) 25/2 в) 5/2 19/2 D) 9/2

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Q: 4. A man is walking beside a 30-m street lamp. After walking 25 m away from the street lamp, he sunk...

A: As per our guidelines we can solve only one question at a time. Please repost unsolved question sepa...

Q: 2. Prove that for all positive integers n, 1² + 2? + 3? + 2 +n = T(n+1)(2n+1)_ a. Show it is true fo...

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Q: Consider the function f(x) = x(Va – 1), where a > 0, x > 0. (a) Tell if f is an indeterminate form i...

A: Solve both the following part as Below:-

Q: i) r = 3(1+sin 0)

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Q: The population of a certain inner-city is estimated to be declining according to the model P(t)= 211...

A: topic - exponential function

Q: Given f(x)= 1+x. a) Find the linear approximation to f (x) at x=0. b) Use the linear approximation t...

A: Since you have posted multiple subparts question in this question so I have solved first three subpa...

Q: If u = 2-x, x/2-xd

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Q: or the DE y' = xy2, y(0) = -1. Then, y(2)=

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Q: he auxiliary equation for the differential equation y" +2y" + 7y' = 0 is elect one: O m³ + 2m² + 7m ...

A: Here we have to find auxillary equation for given differential equation as shown below

Q: The general solution to the DE dy/dx + Py = 0 is   a. y=Ce^-Px b. y+Px+C c. y=Px d. y=Ce^Px

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Q: Solve the differential equation: dy ху?. - x = 1 dx а. у %3D у3х + 3ln\x3| + C b. y = 2y + 31ln|x³|+...

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Q: Illustrating the Dimensions of a Box You want to make a box to be part of your designed gadget. You ...

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Q: 2. Find the general solution of x2 (y + 1) dx + y?(x- 1) dy = 0 x2 - y2 + 2x - 2y + A. 2ln[(y + 1)/(...

A: Given that: x2(y+1)dx+y2(x-1)dy=0

Q: Y - (4z - y+ 1) = 0 y(0) = 2 %3D

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Q: Use the transformation u = y – r and v = y to evaluate the integral // 2 + s°) dz dy where R is boun...

A: Solve it. 

Q: f(x) = xe-x²/128 [-2, 16]

A: Let's find. 

Q: .3 If U = 2– x, x/2 - xdx= (A) (2 – u)/ūdu В u/ūdu ,1 © Lwūdu uvūdu .3 D J (2- uWūdu

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Q: S sec4 2xtan62xdx

A: follow next step

Q: 6 .6 If f(x)dx=10 and f(x)dx=3, then | f(4 – x)dx=? A В 3 (c) 7 10

A: Given that a integration problem and we solve this problem by using general formulas of integration....

Q: 5х, 5x sin°(cos* () dx 5 4 6 6

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Q: Question 5 (C15.2) For the vector field function, F(x, y) — хі + уј and curve C: r (t) = (3t + 1) i ...

A: Solution is given below:

Q: Find the indefinite integral. sinh(6 – 7x) dx

A: Consider the integral  ∫sinh(6-7x)dx