QUESTION 4 Given f(x) = 8x³ + 2x. Estimate the value of ƒ(2.01) using differential. %3D

Q: Explain why each of the following integrals is improper. (a) dx (x - 9)3 O since y=- - has a vertica...

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Q: a) Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to an is...

A: Given: Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to a...

Q: The average change of a function f over an interval [21, 12] is f(x2)–f(#1) First find the average r...

A: The given function f(x)=11x2-13x

Q: if 2 and gcx) -X and h =1-2X %3D Find, fog fog, gof, gog, gofoh, fof > fof .

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Q: if g(t)=4t^3-t^2, find all t for which g’(t)=0

A: Using derivatives.

Q: Find f(x) = x2+2 when f1(3)

A: Given that: f(x)=x2+2

Q: 3. Find the area bounded by the graph of the indicated equations over the given intervals (when stat...

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Q: 873 4x) da

A: topic - indefinite integral

Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

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Q: COS Cos 3x dx CoS

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Find the horizontal asymptote(s) of the function _P(z) f (x) where p (x) = 11,² – a – 2 and q (x) = ...

A: Given:      fx=pxqx  where px=11x2-x-2              qx=10x4-3x then fx=11x2-x-210x4-3x    Line y=L i...

Q: Find the general solution of y" - 3y' + 2y = 2e*

A: y"-3y'+2y=2exAuxillary equation is D2-3D+2=0m2-3m+2=0m2-2m-m+2=0m(m-2)-1(m-2)=0(m-1)(m-2)=0⇒ m=1,2co...

Q: The reaction of the body to a dose of medicine can sometimes be represented by an equation of the fo...

A: Given: R=M2C2-M3

Q: Find g(x)= -x2+ 5x - 2 when g1(2)

A: First calculate g'(x) then put x = 2.

Q: f(x)=2x^2+5x+3 find all values of x where the slope of the tangent line to is 0

A:

Q: Given the differential equation y" + 2y' + 3y = 0 Determine the General Solution for the given Diffe...

A: Follow the procedure given below. 

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

A: We need to calculate the limits here, we will take common multipliers and will cancel out.

Q: 2. [e2y ycos (xy)] dx + [2xe?v xcos (xy) + 2y] dy = 0

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Q: 5 Suppose S f (x) dr = -8 and S g(x) dx=9. %3D -3 -3 | Evaluate S (2 f (x) + 4 g (x)) dr. -3 Remembe...

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Q: A' + BT

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

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

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

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

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Q: 8. (e* + y)dx + ( 2+ x + ye' )dy =0

A: Given:- (ex +y) dx +(2+x+yey ) dy=0 To find:- General solution for given differential equation

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

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Q: 2n5-n2+4 i. an n²+1

A: Follow the procedure given below.

Q: Given that f(4) = -8 and f'(4) = –6 , find an equation for the tangent line to the graph of y = f(x)...

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Q: 10. y(2x3 -x?y + y³)dx - x(2x³ + y³ )dy = 0

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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: 2. Let f(x) = ax+b cx+d (a) Show that if f is one-to-one, then ad bc + 0. (b) Show that if ad – bc +...

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Q: Determine whether the integral is convergent or divergent. 1 dy 1 4y convergent divergent If it is c...

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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: 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: Consider a circle with equation x² + y² = 20 and the point P with coordinates (-1, 2). Is P inside, ...

A: We have to solve the circle inside, outside, or on circle

Q: 4. Show that In x lim x→1 x – 1 1. (Hint: Note that In In x-ln 1 x-1 and interpret the limit as a de...

A: Given: To prove that limx→1 ln xx-1=1 using the limit as a derivativeFormula: f'(a)=limx→af(x)-f(a)x...

Q: 4. Use the graph to find the following characteristics of a polynomial? K/5 4) Use the given graph t...

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Q: - (2* – 10) " da = +C

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Q: 1+1=?

A: Given that we need to find the value of the following expression.

Q: 1. fcos*ysin ydy

A:  In this integral,  you can see cosy2 has exponent 4 and siny2 has exponent 1. To solve this integra...

Q: If the solution of y' = 2(2x - y) passes through the point (0,1), determine x when y = 7.

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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: a) Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to an is...

A: Each part of the problem is solved below in detail.

Q: Evaluate the definite integral 2 (5e +8x)dr using Part 1 of the Fundamental Theorem of Calculus. Ent...

A: Given problem:-

Q: the given expression x^2 - 3x + 4 is equal to. SUBMIT YOUR SOLUTION O 2ty - 2)^2 + 2 O 4(2x - 1)^2 +...

A:

Q: de (x-3)Vx2-6x+5 arcsec + C; and 0.0008 none of the choices arcsec + C; and 0.0174 arcsec + C; and o...

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Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3).

A: Equation of a plane containing 3 points is x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1=0  

Q: 3. Find the Scalar eguation of the plane containing the line rt) =<!,2,-37+ -3,2, 17 and the point P...

A: Given problem:- Find the scalar equation plane containing the line  r (t)= &lt;1,2,-3 &gt; + t &lt; ...

Q: ay The differential equation X dx =1 is a nonlinear differential equation. dx? %3D Determine it is a...

A: Since we are given with the multiple number of questions and our guideline is solve the problem so k...

Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating combi...

A: We will find the 8th term. 

Q: Let y3 - 4x = 2xy. Find d2y/dx2. Show work please.

A: