DETAILS LARAPCALC10 2.2.014. Find the derivative of the function. g(x) = 4x² + 8x³ %3D

Q: Assume that f(x) = x. Evaluate a. lim f(r). f. lim (f(r)) – f(x)). b. lim エ→4 () g. lim (f(r)* +(f(r...

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Q: A man that is 6 feet tall walks towards a light that is 20 feet above the ground at a rate of 5 feet...

A: Given:      Height of man =6 feet     Height of light =20 feet     Rate of walk by man dxdt=5 ft/sec...

Q: Graph of f 8. 7. 6. 5. 3. -10 -9 -8 7 -6 -5 -4 -3 -2 -1 3 4 5 8. 10 -1 -2 -3 -4 -5 -6 -8- 6.

A: Solution

Q: sin° x Vcos x

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Q: Find the first and second derivatives of the function. f(x) = (x2 + 6)5 f'(x) %3D f"(x)

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Q: di x-x(t)defined implicik ly by 62X6 12+62VXIn(t)-eE. Also evaluate dx (tx)s(4,4).

A: Given: -x=x(t)  defined implicitly by The equation is, 62+62xln(t)=e62xt To find: - The differentiat...

Q: Q// Sketch the region of integration and evaluate the integral 4-y xe2y -dxdy 4- y .4 0.

A: Find your answer below 

Q: ·를 sin' X V cos x

A: This question is related to definite integration, we will solve it using given information. 

Q: ITEMS: Evaluate the following integrals. 1. / e* cos(2x) dx

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Q: B. (P +Q+R+M+ N) u= V4 - Vw +1 du Pw + Qw² +3 +R/w +1 u" or dw? 9u" (w +1)"

A: Given

Q: sin( - B) = V2 (cosB - sinB) 2 (sinB- cosB) O 2 (cosB + sinB)

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Q: Sketch the region enclosed by the given curves. y = 13 – x2, y = x² – 5 y y 5 -6 -4 - 2 4 6 -6 -4 -2...

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Q: Prove the following identities. cos( - ) sin x/2 sin x sec x/2

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Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A: Given ∫1xx6+1 dx Substitute u =  x6 + 1→dudx=3x5x6+1→dx=x6+13x5 du =13∫1u2-1 du Now solving ∫1u2-1 d...

Q: 2.2) Solve and explain the steps involved. (2+7a)e dr

A: In this question we have to solve Integration.

Q: ce the appropriate limit laws and theorems to determine the limit of the sequence. 12" C, = n! se sy...

A: Please refer to the image below

Q: The function f, shown below, is comprised of a semi-circle and piecewise linear segments. What is th...

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Q: I. The Fisher effect theorizes that nominal interest rates observed in financial markets must compen...

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Q: 3. TVI+ 1 dx (use trigonometric substitution

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: 3 lim f(r) エーC lim g(r) 12, and lim h(r) = -3. エーHe エー Compute the following limits: a. lim(-4 f(r))...

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Q: Find the derivative of the function y = 1ln(cos 2x)+4tan? (3x) Write the value of y (0) in the box b...

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Q: Find the derivative of the function. f(t) = = 3(t7 - 2)5 Step 1 Recall that the derivative of a cons...

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Q: Simplify (129 + 121 + i) (12021)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Express the composition W (x) in the form f • g • h. W (x) = - 7 х — 7

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Q: 7 lim 『ストフ-2 X + 3 メy-3-

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Q: x2 dx J V4x – x²

A: Given:       ∫x24x-x2dx    =∫x24-x-22dx  substitute u=x-2→dudx=1→dx=du                    use x2=u+2...

Q: In February, Apple stock rose from $120.69 to $164.85, while Tesla stock increased from $675.50 a sh...

A: Given:- In February, Apple stock rose from $120.69 to $164.85 Tesla stock increased from $675.50 to ...

Q: sin(2Tx) lim x → 6 x² – 36 -0.3333 T O 0.1667 ↑ O -0.1667 T O 0.3333 T

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Q: 1. Complete the following tables of values to investigate lim(x´ – 2x+4). f(x) f(x) 1.6 0.5 1.35 0.7...

A: Here we have to find the limits of the given functions.

Q: What are the roots of the auxiliary equation corresponding to the DE y" + 3y" + 3y' + y = 0? Write t...

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Q: 25 The function f is shown below. What is the value of i/ f(x) dx? Write your -4 answer in simplest ...

A: This question is related to definite integration, we will solve it using given information. 

Q: In the previous step we determined that [(t - 2)°] = 35t°(t' – 2)4. Use this to complete the derivat...

A: Given query is to find the derivative of the expression.

Q: The function f is shown below. What is the value of | f(z) )dx? Write your answer in simplest form. ...

A: Topic:- integration   

Q: 9.) Find d'y Given: x +y = 1 dr 10.) Find coen y= 3x- 1

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Q: Find the derivative of the function. f(x) = 8(x3 - x)4

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Q: cos( + B) = O V2(cosB + V3sinB) V3(cosB - V2sinB) O V2(cosB - V3sinB)

A: Value of Cos(π/3 + B) will be

Q: x3 , which Consider the plane region bounded by the curves y? intersects at point (0,0) and (1,1) Fi...

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Q: For the next three questions, consider the differential equation: y" – 2y/ + y = e* arctan r If the ...

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Q: y - 3y + 2y = 3e + 2e2 %3D

A: Given: -The ordinary differential equation is, y''-3y'+2y=3ex+2e2x To find: -The solution of the giv...

Q: Let R be the region bounded by the following curve. Use the shell method to find the volume of the s...

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Q: Sx²V1+x dx

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute ...............

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: sin 3t dt J cos 3t – 1

A: Given: I=∫sin3tcos3t-1dt   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where ai...

Q: A straight 33-ft long ladder leans against a building so that the angle between the ground and the l...

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Q: Factor the difference an+1 a, to show that the given sequence {an} is strictly increasing or strictl...

A: an+1= (n+1)/(16(n+1) +9)        = (n+1)/(16n + 25) an  = n/(16n+9) an+1 - an =(n+1)/(16n + 25) - n/(...

Q: Given: sin A= { and A is in the second quadrant; evaluate the following expression. cos 20 = %3D -7/...

A: cos2θ = 1-2sin2θ

Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest form. Gra...

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Q: Given: sin a= and A is in the second quadrant; evaluate the following expression. %3D sin 20

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Q: sin (x²) + C

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