In 4x 5. S dx

Q: determine if the series diverges or converges

A: This question can be solved using the concept of convergence and divergence.

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

A: All edges of a cube are expanding at a rate of 8 centimeters per second.a To determine how fast is…

Q: . Use the second-derivative test for local extrema (: extrema for the function. Identify whether the…

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Q: ...................... Consider the following. 4 f(x) = (a) State the domain of the function, all…

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Q: (-1)"-1"

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Q: You are building a replacement trough for the company that built the faulty trough in the last…

A: This question can be solved using the concept of maxima and minima.

Q: Find the distance between the parallel planes 10х — 5у — 52z — 26 — 0. 2х + у + 2 %3 0 and - - NOTE:…

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 - x from above inside x = y2,x = 4.

A: Answer is in step 2.

Q: Is this series convergent or divergent?

A: This question can be solved using the concept of root test.

Q: d What modificatioIis would have to be made to find the derivative sin 6 if0 is given as dx an angle…

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Q: 1 In solving the antiderivative of f(x) = 2- 3sin(x) by miscellaneous substitution, the substitution…

A: Given: fx=12-3sinx To find: ∫f(x)dx We know that, sinx = 2tanx21+tan2x2

Q: find the derivatives with use of trigonometric functions 4 y = sin 2xcos' 3x tan 2x y = 1- cot 2x 3…

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Q: 2n br 3n

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Q: The antiderivative of [Vx-25 dx is V x2 - 25 - sec-x+ C. A True B False

A: Given: I=∫x2-25xdx     As we know from the trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: in hrit insider= 14cos6 out side re1-asG Find area insider= 4G5G out side ret-sG in hrat quarter -

A: The area inside r=1+cos θ and outside r=1-cos θ is:

Q: t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 5.7 9.2 15.5 17.5 19.8 20.2

A: The given data is: t(s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 5.7 9.2 15.5 17.5 19.8 20.2 To…

Q: 6a2 + 23x – 9 The antiderivative of f (a) = is F (x) = a ln (læ + 3|) + bln (Jæ) + dln (r- 1) +Cthen…

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Q: х2 — бх + 9 dx Убх — х2

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Q: Description Evaluate the volume of the solid generated by revolving the plane region about an axis.…

A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (9, –5)…

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Q: (-3)"(x – 2)" Consider the power series Vn+2 Use Alternating Series Test to show that the series…

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Q: Find the equation of the tangent line for x=t^3+1, y=t^2-t at t=1

A: x=t3+1  y=t2-t To be found - Tangent line equation at t=1

Q: The differential equation dy/dx = y(y+6) has initial condition of y(0) = 3 What is y(1)? Multiple…

A: Given

Q: Evaluate the following limit: x² + x- 2 lim- x-1x2- 2x + 1 If it does not exist enter DNE. Round to…

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Q: 3. (sin0 + cos€)²d0

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

Q: From Rogawski ET 2e section 10.3, exercise 3. Use the Integral Test to determine whether the…

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Q: 2. Sketch the plane curve by plotting points then indicate the orientation of the curve. x = t2 – 4…

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Q: Determine if the improper integral el/x dx x2 converges or diverges. If it converges, find its…

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Q: Find the derivative/s of the given item. Final answer should be simplified. dy Find dx if yvx – 8 =…

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Q: 3-x QI) Evaluate the integral S* dy dx using polar coordinate

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Q: |Find the average distance from the origin over all the points in the unit circular disk 2² +y? <1.…

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Q: Evaluate the following limit: (x- 2)2 – 4 | lim If it does not exist enter DNE.

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Q: 1. A certain object moves in a region of space defined by the following parametric equation: x(t) =…

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Q: **....... A rectangular parking lot with a perimeter of 440 feet is to have an area of at least 7000…

A: we have to find length range for the given rectangle.

Q: Is it true that if a, < b, for all nE N and E-1 a, is divergent, then E-1 bn is divergent? If false…

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Q: 2) Solve the D.E dy + (xy – xy²)dx = 0

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Q: The location of a point on the Cartesian coordinate system (x,y,z) is (4,5,6). Using the location in…

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Q: From Rogawski ET 2e section 10.3, exercise 5. Use the Integral Test to determine whether the…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 3 cos(t)i+4 sin(t)j+ tk;…

A: Answer in the box are correct

Q: Identify if the following series is convergent or divergent: 00 (-1)"3n² 4n2–1 n=1

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Q: 5. What is the derivative of 2x*? A. 8x3 В. 2 С. х D. 0 6. Consider the function f(x)=|x-21 at x-2…

A: Since you have posted multiple questions i can do first three question as per our company guidelines…

Q: Find an equation of the plane through the origin that is parallel to the plane 4x – 3y + 6z + 18 =…

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Q: IS Suppose that z = 0 is a regular singular point of the ODE az(x)y"+a1(x)y' +ao(x)y =0 and that ri…

A: We have to write solutions set for the given differential equation.

Q: x+y Q3) Evaluate triple integral S dz dx dy. x-y

A: To evaluate the triple integral ∫02∫0y∫x-yx+ydz dx dy.

Q: Find an equation of the plane through (4, 1, –4) that is perpendicular to the line x – 2 = 5t, y+3 =…

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Q: Consider the tollowing Maclaurin series: (-1)"x2n (2n)! COS X = for all x e R. n=0 1. Let f(x) =…

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Q: Question 2:- Applying the properties of logarithms to simplify expressions a. logs 8 + logs 1 b.…

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Q: Question 2:- Applying the properties of logarithms to simplify expressions a. logs 8 + logs 1 b.…

A: This can be done as follows:

Q: Integral

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Q: d -sin ở if0 is given as What modifications would have to be made to find the derivative - an angle…

A: Let's find.