Find the Domain and Range x-4 1. y

Q: logndy +y 2ndogn |

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Q: A population of bacteria grows at a rate proportional to the number of bacteria at the time. There w...

A: Given that:                      Bacteria growth rate is proportional to the number of bacteria at t...

Q: Use Newton's method to find an approximate solution of 7 - 9x =x. Start with x, = 1 and then find x....

A: Here, the given equation is: 7-9x=x3⇒x3+9x-7=0 Let, f(x)=x3+9x-7 And, the initial value given is: x0...

Q: Determine whether the sequence an 11 21 n2 n2 converges or diverges. If it converges, find the limit...

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Q: Find two sets of symmetric equations of the line through the points (1,2,1) and (5, –1,1).

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Find the derivative of the vector function r(t)=ln⁡(7−t^2)i+sqrt(8+t)j−5e^(2t)k r′(t)=⟨  ,  ,  ⟩

A: The given vector function is r(t)=ln(7-t^2)i+8+tj-5e2tk We have to find the derivative of the vector...

Q: Eliminate the arbitrary constants b^2 x^2 - a^2 y^2 = a^2 ^b2

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Q: . Determine whether the given sequence converges, and, if it does, find the limit. i. an = sin ii. a...

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Q: Write a formula for the nth term an of the sequence and determine its limit (if it exists). It is un...

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Q: 3- 2-6 -3 -2 -1 1 2 3 The following function is discontinuous at three values of x. List these value...

A: We will find the point of discontinuity. 

Q: 1. For the function g(t) whose graph is given below, state the value of each, if it exists. If it do...

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Q: QUESTION 2 Differentiate of the following function with respect to x. a) y = x³ln (2x) 3x2+10 b) y =...

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Q: Use the Comparison Theorem to determine whether the integral is convergent or divergent. 37x dx x* +...

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Q: Find the total mass of two turns of a spring with density p in the shape of the circular helix below...

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Q: 11-18 Find the solution of the differential equation that satisfies the given initial condition. 12....

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the solution of the differential equation (x+ Vy² + 1)dx – (y - ху dy = 0 %3D Vy2+1,

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Q: 3. (10 — 6у + е 3а) da — -32 2dy = 0

A: The given differential equation is: 10-6y+e-3xdx-2 dy=0

Q: find the equation of y where dy/dx = 3x + 5 and y= 6 when x = 0

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Q: Evaluate the given function ſ sec5xtanxdx a. sec*x + C b. sin*x + C c. cosx + C d. 금esc5x + C

A: topic - indefinite integral

Q: State the name of the property illustrated below. 4. /8 = /8 •4 Choose the correct answer below. Ass...

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Q: Find the values of 'a' and 'b' that make the following piecewise function differentiable everywhere....

A: We have to find value of a and b for given Questions.

Q: Using the graph of g(x) below, answer the following questions. 1.0 E4 a) Where is g(x) > 0 ? (Enter ...

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Q: The point P (3,-8) lies on the curve y = x2 - 8x + 7. The point Q (x, x2 - 8x + 7) is also on the cu...

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Q: IT sin't cos*t d t

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Q: (You can click on the graph to enlarge the image.) (a) Which one is bigger, f(3) or f(5)? O A. f(3) ...

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Q: Consider the vector function r(t)=⟨t,t^2,t^4⟩ Compute r′(t)=⟨  ,  ,  ⟩ T(1)=⟨  ,  ,  ⟩ r′′(t)=⟨  ,  ...

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Q: Find the ABSOLUTE VALUE of the gradients of the tangents drawn to the ellipse x^2/4+y^2/93D2 at the ...

A: We have to find absolute value of gradient at x=2 for the given function.

Q: Find the partial fraction decomposition of the function. Write answer in simplest form. x² +x+1 a) f...

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Q: Suppose that your first guess with Newton's method is lucky, in the sense that x, is a root of f(x) ...

A: Option (B) is correct answer i.e. x1 and later approximations will be equal to x0

Q: (4x^4+x^3(y)+y^4)dx+x^4dy=0, Solve for HOMOGENOUS DE

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Given that: limn→∞nne-8n

Q: Find the following limit, then enter your answer in the form a/(x-b)(x-c) 1 find lim f (x+h) - f (x)...

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Q: Consider the sequence 18 n cos(nn) an 2n 1 Write the first five terms of an, and find limn→∞ an. If ...

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Q: 21 - v oX

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Q: know what the derivative of e^(g(x)) is and what the derivative of In(g(x)) is. I.e. the chain rule ...

A: From chain rule  If g(x) is a differentiable function, then the derivative of eg(x) is g'(x)*eg(x) ....

Q: Homogeneous Differential Equations (11) (x – y)dx + xdy = 0 (12) (x sin- y cos) dx + x cos 2 dy = 0 ...

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Q: Evaluate dy/dx at x = 2.5, correct to 3 significant figures, given y= (2x^2+3)/In 2x

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Q: 2. Let f(x) ax+b cx+d° %3D (a) Show that if ƒ is one-to-one, then ad – bc # 0. (Ъ) Show that if ad –...

A: Given that: f(x)=ax+bcx+d

Q: Use algebra to simplify the expression before evaluating the limit. In particular, factor the highes...

A: Our Aim is to evaluate the limit of the expression given below:-limn→∞2+8n+7n26n2-5n+7 -(i)

Q: 8. Find the exact value of each expression. 3V34 tan cos 34

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Q: Determine the particular solution of y"–3y'+2y=4e"; y(0)=-3,y'(0)=5 using Laplace and Inverse Laplac...

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Q: Question 14 (1 point) Find the limit of the infinite sequence. 2, 2, 2, 2, 2,. Enter dne if the limi...

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Q: Consider the surface given by the equation z - y = x2. Draw a total of at least 3 traces in at least...

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Q: л3 160х - 3x? - 2ху- 2у? + 120у -18

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Q: A' + BT

A: Given: A=11134-6424848-56526117B=3-4858122646742638 To Find: A-1+BT

Q: dt 15+2t-t

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Q: Use sigma notation to write the sum of the given equation

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Q: A. Find the differential equation: (1) whose general solution is y = c,e-2x + Cze3x (2) by eliminati...

A: To find the differential equation.1 whose general solution is y=c1e-2x+c2e3x.2 by eliminating B and ...

Q: 2n5-n2+4 i. an n²+1

A: Follow the procedure given below.