(3x+4)² √x dx

Q: 1 X-4 (a) Find the derivative f' of f. f'(x) = Let f(x) = - (b) Find an equation of the tangent line…

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Q: The population of country doubles in fifty years assuming that the rate of increase is proportional…

A: Introduction : Rate of change is usually defined by change of quantity with respect to time. Given:…

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A: Please see the below picture for detailed solution.

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = 3x3. (Use…

A: We have to find the surface area of revolution about the x-axis over the interval [0,1] for y=3x^3.

Q: x -2 0 2 4 6 8 f(x) 100 80 64 54 49 46 Based on the table for f(x), which of the following is true?…

A: Please see the below answer.

Q: How is problem #8 done?

A: We will find the required.

Q: Find the unit tangent vector to the curve defined by r(t) = (5t, −2t, √25 – †²) at t = -2. - T(-2) =

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Q: Given f(x, y) = x² – xy³ – 3y¹, find

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: The given integral is: I=∫3dtt2-92   Use the common integral: ∫1ax+bdx=1alnax+b+C And the Power…

Q: 0 3 dx -dx x²-3x-4

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Q: ,a= 2/12. Calculate the Taylor polynomials T2(x) and T3 (x) centered at x = a for f(x) = 14 sin(x),…

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Q: What is the orientation of the equation of an ellipse below? y² x-² 2.25

A: Solving the following problem

Q: For what value of k will the function f be continuous on (-∞, ∞)? f(x) = = +2 9 x + 3 k if x # -3 if…

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Q: Question 1 let y = (x²+x)³ Find y' O 2x+1 3(x²+x)² 3(x²+x)² (2x+1) O(x²+x)² (2x+1) Question 2 let y…

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Q: y = f(x) Vertex: f(x)= SHOW SUPPORTING WORK BELOW: (1501 mi) = Vertical intercept: (8₂- V. 20…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: What is the change in surface area with respect to time at t = 4s? Given: dv/dt = 12t^5 cm^3/s

A: We have to find the change in surface area with respect to time at t=4s .

Q: The function s(t) describes the position of a particle moving along a coordinate line, where & is in…

A: The given data is: st=t4-162t2+6561, t>0 a) Find the velocity and acceleration function.

Q: let r(t)=(t^2,1-t,4t), d/dt[r(t) dot a(t)=?, t=2 ,assume that a(2)= and a'(2)=

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Q: WEEK 6 WRITTEN HOMEWORK SHOW ALL WORK TO RECEIVE CREDIT Adrian Lewis QUESTION 1 A coffee house finds…

A: A coffee house finds that its weekly profit P (measured in dollars) as a function of the price x…

Q: Find the equation of the least squares line. The paired data below consist of the costs of…

A: Given:  The paired data below consist of the costs of advertising (in thousands of dollars)  and the…

Q: Use the power property to rewrite each expression. Assume all variables are positive. log₂ (√c) =…

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Q: 5. (4D³ - 4D² + D − 1)y = 0

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Q: 3 ation 4x² - yz + 4z³ - 25 = 0 at the point (1,25,-1).

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Q: Verify that x>0 (x) is a solution of the equation yy" = =X

A: Given that 23x32 is a solution of the equation yy''=x. We have to verify the given statement.

Q: (b) π/4 (sin(x) = cos(x)) (sin(x) + cos(x)) dx

A: M=∫0π4(sinx-cosx)(sinx+cosx)5dx ∫xndx=xn+1n+1+cd dx(sinx)=cosxd dx(cosx)=-sinx

Q: cz, find ди Әх at x = 1

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Q: Find the solution to the Bernoulli Equation. 2x³y'= y(y² + 3x²) Oy²(c-x) = x³ Oy²(c+x)=x³ Ox²(c- y)…

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Q: Should i put 7 on the other side?

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Q: L (di/dt)+ Ri = E  is this an ODE or PDE, then what is the order and degree

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Q: if f(x) = x sinx, then f'(x) = sin x + xcosx. show that there must be at least one value of in the…

A: The given function fx=x sin x and its derivative is f'x=sin x+x cosx. We have to show that at least…

Q: Please answer it within 30 minutes.I will upvote! Problem : Find the derivative of the function:…

A: Topic = Derivative

Q: The equation of motion of a particle is 8 = answer the following questions. 1. Find the velocity v…

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Q: The population of a slowly growing bacterial colony after thours is given by p(t) = 3t² + 32t+200.…

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Q: Let f(x) = f'(x) = and - f"(x) = | 7x² 4-52 . Then 7x (5x-8) (-5r+4)2

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Q: Draw the region D between the parabolas y = x² and x = y²,and calculate the x-coordinate of its…

A: Solution is given below:

Q: Find the volume of the parallelepiped determined by the vectors a=, b=, c=   Please make easy to…

A: Here we have to find the volume.

Q: 3. Estimate the area of the finite region between f(x) = -x and g(x) = by summing the areas of n…

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Q: I Given, dr=b(cos@dr+rsinºd€) ; r (ñ) =1, Find r(7). O 1 1+b 1+b 2 1 1+b b 1+b (1-b)

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Q: 5) Ir b) a) O Consider the functions z = -e lnx, y = ln(u sin v), x = usin v. Draw a dependency…

A: We can solve the above question as follows,

Q: .A rectangular fence is to be constructed with one of its face adjacent to an existing wall. Given…

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Q: rate

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Q: (D) Use interval notation to indicate when the particle is moving in the positive direction. (If the…

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Q: Use the table to evaluate the expression. X f(x) g(x) 1 2 3 2 3 1 3 5 5 4 1 6 5 6 2 1.0 6 3 4

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Q: Find the arc length of y = over [1,4]. 2(x+5)² (Use symbolic notation and fractions where needed.)…

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Q: x) = 18/x  Use the following formula to find the derivative of the function (F(t) - f(x))/(t-x)

A: Topic:- calculus

Q: 3. Two cylindrical swimming pools are being filled simultaneously at the same rate. The smaller pool…

A: Topic: Application of Derivatives   The answer is given below in step 2

Q: 13. r(t) = t sin ti + e' cos tj + sin t cos tk ht

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Q: substi by S (H cos 4x)² dx

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Q: Question 3 Find y(2) given the IVP (3xy+3y-4) dx + (x + 1) ²dy=0;y (0) = 0 16 27 - 12 17 O 13 25 07…

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Q: Question 3 let y = x(x²+x)², Find y' O x²(x²+x)² O (x²+x)² O 1.(x²+x)² + x.2.(x²+x)(2x+1) O…

A: 3) Given data÷ y=xx2+x2 Using the rule of derivative÷ ddxUV=dUdx.V+U·dVdx y'=ddxx·x2+x2+x·ddxx2+x2…