# calculus

posted by .

Use a linear approximation of f(x)=^3√x at x=8 to approximate ^3√7.

Express your answer as an exact fraction.

• calculus -

what are you using this symbol ^ for?

• calculus -

its cubed

• calculus -

do you meant the f(x)=cubrtx ?
then f'= 1/ 3(cubrtx)^2

f(7)=f(8)-f'(1)=cubrt8-1/3(cubrt1)2
= 2-1/3=1 2/3=5/3

## Similar Questions

1. ### Math

Use a sum or difference identity to find the exact value of sin225° a. (-√2 - √6)/4 b. (√6 - √2)/4 c. (√6 + √2)/4 d. (√2 - √6)/4 is it A?
2. ### Math

Find an equation of the line that bisects the obtuse angles formed by the lines with equations 3x-y=1 and x+y=-2. a. (3√2 +√10)x-(√10 + √2)y-2√10+√2=0 b. (3√2 - √10)x+(√10 - √2)y+2√10+√2=0 …
3. ### Calculus

Use linear approximation, i.e. the tangent line, to approximate (the 3 is inside the v part if you know what I mean, it's not 3 times sqrt) 3√125.2 as follows: Let f(x) = 3√x. The equation of the tangent line to f(x) at …
4. ### Math

Determine the exact value of cos 465 degrees a) √3 + √2/2 b) √2 + √3√2/4 c)√2 - √3√2/4 d)2+√2-√3√2/4
5. ### Precalculus

Determine the exact value of cos 465 degrees a) √3 + √2/2 b) √2 + √3√2/4 c)√2 - √3√2/4 d)2+√2-√3√2/4
6. ### Calculus(Urgent help)

f(x)=x^3-3x^2+3x+1 near 2 (at a=2) A. Use Linear approximation to approximate. b.is this underestimate or overestimate?
7. ### Algebra

Simplify the expressions and solve the equations 1. 2√3 - √12 My answer: 2√3 - 2√3 = 0 2. √(5p + 5)^2 = √(6p + )^2 I got the answer p = 4 3. √(28) + √(63) + √(175) This one seems …
8. ### 8th grade algebra

Can you check my answers? 1. 3√20/√4 = 3√(5)(4)/2 = 3(2)√5/2 = 3√5 2. 4√15/√9 = 4√15/3 3. √12/√16 = √4(3)/4 = 2√3/4 = √3/2 4. √10/√5 = √2
9. ### Algebra

1. Simplify the expression: 4√18+5√32 A.45√2 B.32√2 C.116√2 D.9√50 2. Simplify the expression: 7√5-3√80 A.-5√5 B.-4√75 C.-5 D.4√-75 3. Simplify the expression: √21(√3+√14) …
10. ### Algebra - Check My Work

For Question 1-8 Simplify the Radical Expression *** - My Answer 1.√45 3√5*** 2.√180x^2 6x√5*** 3.√150x^3 k^4 5xk^2√6x*** 4.√21y * 5√49y 35y√21*** 5.(The square root sign applies …

More Similar Questions