1. Find the length of the curve r(t) = (sin 2t, cos! cos 2t) from t =0 to t 2n. %3D II

Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) You answered corr...

A: The given series,     ∑k=1∞4k+27k-1

Q: Solve the following using a +/- table, making all of your thinking visible (r-2) (x+1) (4-x)(x+5) > ...

A: Find your answer below 

Q: If an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is ...

A: Given query is to find the the velocity using derivative, and velocity at different time.

Q: Let g(x) = -1/x2. Evaluate lim g(x) x→0 by drawing its graph. a. ∞   b. 1    c. 0    d. -∞

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Which of the following intervals will contain all of the function values of f (x) on the interval-4,...

A: We can solve it by cross check from given options  Let we select 0 from interval [-4,1] at x=0 f(0) ...

Q: The area A of the region S that lies under the graph of the continuous function is the limit of the ...

A:

Q: 19. Identify the critical points and the inflection points of (x) FX) = (x - a)(x + a)', for a > 0. ...

A: The given function f(x)=x-ax+a3

Q: ACTIVITY 1 Direction: solve and analyze each of the following problem in neat and orderly manner. Do...

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Q: 28.lf a flash of lightning is observed in a cloud 2640 m away and the speed of sound in air is 330 m...

A: Given that: Distance between the observer and cloud=2640 mSpeed of sound=330 m/s

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 (-...

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Q: Find the second derivative of y2+2xy=x+y

A: The given function,    y2+2xy=x+y

Q: find the derivitive by implicit differentiation   4sin(xy) = x

A:

Q: Consider the differential equation 2 = Let y = f(x) be the particular solution to the given differen...

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Q: Find the profit function if cost and revenue are given by C(x)= 155+1.5x and R(x) = 7x-0.09x. The pr...

A: This is a basic calculus problem

Q: Find the abs extrema as well as all values of x where they occur for the domain.   f(x)= x/12 + 1/...

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Q: Use a graphing utility to graph the equation. Move the cursor along the curve to approximate the unk...

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Q: 4) Determine whether the integral converges or diverges, and if it converges, find its value. - dx (...

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Q: d²f df (b) +2-+ 5f = 0, f(0) = 1, f(0)=C dr? dt

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Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Aƒ(Bx + H) + K. where ...

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Q: S: sec h udu = tan"(sin h u) + C -1

A: Follow the procedure given below.

Q: The ideal gas law PV = nRT gives a relationship between the pressure P in pascals (you can read abou...

A: Given: The ideal gas lawPV = nRTP : pressure                           variableV : Volume           ...

Q: Determine the domain of f(x, y) = / x² + y² – . -

A: This question is based on finding domain of function.

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos>x – 1) dx = 0 2. xy' =2xex - ...

A: Given that: y.dx+x(lnx-lny-1)dy=0, when x=1, y=e

Q: 22.) Find the slope of the tangent to the curve, y = 2x – x? + x³ at (0,2).

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Q: equations. 1. (D2 + D)y = sin x %3D 2. (D2- 4D+ 4)y = e* 3. (D2 – 3D+ 2)y = 2x3 - 9x2 + 6x 4. (D2 + ...

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Q: 4. The surface area, S, of a sphere of radius r feet is S = S(r) = 4rtr2. Find the instantaneous rat...

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Q: 30 25 (11,20) 20 15 10 -5 -10 -15 -20 (19, -15) -25 -30 20 -15 -10 -5 5 10 15 20

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Q: Verify the following general solution, then solve. Find the particular solution to the differential ...

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Q: x^2=Axy+By

A: Simple value put

Q: 3. If T(x) = Ax+b is a linear transformation where A is an mxn matrix and x is an n dimensional vect...

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Q: 00 n Does the series (-1)"n*=| converge absolutely, converge conditionally, or diverge? n = 1 Choose...

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Q: . Given the graph of g(x) = {√−x−2+1, x<-2   x2+2x+5,  x≥-2 below, evaluate its limit as x approache...

A: Given that: 5. g(x)=-x-2+1, x&lt;-2x2+2x+5,     x≥-26. g(x)=Graph is given.7. g(x)=-1x2

Q: |(n+1)!] n!

A:

Q: 4.3 in. 15. Higher Order Thinking A cake has two layers. Each layer is a regular hexagonal prism. A ...

A: Formulas: Area of a hexagon = B=12Pa. Where, P=Perimeter of the hexagon. a=Length of apothem.   Volu...

Q: The transformation of a function f (x) into a function g(x) is given by g(x) = Af(Bx + H) + K. %3D w...

A: Topic = Functions

Q: Consider the differential equation = (3 - y)cos x. Let y = f(x) be the particular solution to the di...

A: The given differential equation is: dydx=3-ycos(x)

Q: general

A: Please refer to the image below 

Q: The measure of the supplement of a 71° angle is (Simplify your answer. Type an integer or a decimal....

A: Supplementary angles sum =180° ⇒180° - 71°=109°  

Q: Show that the given differential equation is exact and then solve the given IVP: (3y² – t² \ dy t 0,...

A: Given equation 3y2-t2y5 dydt+t2y4=0   ; y(1)=1

Q: 1. f(x)=sqrt(x-5);x≠5 and g(x)=x+3. find the domain of (gof)(x) a. all real numbers greater than 5 ...

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Q: (c) Deduce that Rn - A < D-a [f(b) – f(a)].

A:

Q: Let f(x) = tan '(sin(2a)) f'(r)

A: Given :f(x)=tan-1(sin(2x))

Q: For y = sqrt of 5x+8 ***As in 5x+8 is all under the square root symbol.   find dy, given x=2 and ...

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Q: 6) lim Vx 0+ f (x) f (x) -0.5 0.5 -0.1 0.1 -0.01 0.01 -0.001 0.001 -0.0001 0.0001

A: 6)limx→0x

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Let's find. 

Q: Evaluate: a. f(1) b. f(5) c. f(8) d. lim f(x) as x approaches 8.

A: Since this is a multiple subpart question, according to the Bartleby answering rule, only first thre...

Q: 2. SS y' e ř drdy D: x=0, y=l,y= 2

A: Given: I=∫∫Dy2e-xy2dxdy And D: x=0, y=1, y=x2 We know that; ∫eax+bdx=eax+ba+C And ∫a·fxdx=a·∫fxdx, w...

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: The given integral,      ∫011dx11-x

Q: Suppose that the position of a particle is given by s(t)=3t^3+6t+9 (a) Find the velocity at time t....

A: Given s(t)=3t3+6t+9We know that v(t)=ddt*s(t)We know that ddx(xn)=nxn-1v(t)=ddt(3t3+6t+9)      =9t2+...

Q: The quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of p...

A: