Question

In: Math

A. Find the indefinite integral. B. Find the indefinite integral. C. Find the derivative. f(x) =...

A. Find the indefinite integral.

B. Find the indefinite integral.

C. Find the derivative.

f(x) = x6 · log3(x)

Give your answer using the form below.

xA(B + C logD(x))

A =
B =
C =
D =

D. Find the indefinite integral.

E. Find the area under the curve below from x = 1 to x = 2. Give your answer correct to 3 decimal places.

F. Find the area under the curve below from x = 0 to x = 5. Give your answer correct to 3 decimal places.

y = 5x - x2

Solutions

Expert Solution


Related Solutions

Find the indefinite integral using the substitution x = 6 tan(θ). (Use C for the constant...
Find the indefinite integral using the substitution x = 6 tan(θ). (Use C for the constant of integration.) x sqrt 36 + x2 dx
Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative...
Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative and linear approximation, estimate f(9.1).
f(x) = (x^1/2)/lnx #16: What is the indefinite integral of f(x)? Compute: S f(x) dx. #17:...
f(x) = (x^1/2)/lnx #16: What is the indefinite integral of f(x)? Compute: S f(x) dx. #17: What is the definite integral of f(x) from lower limit x = 4 to upper limit x = 9? Compute: S 4,9 f(x) dx
Let ∬[a,b]×[c,d]f(x,y)dA denote the integral of f(x,y)over the region with a≤x≤b and c≤y≤d. Find ∬[0,1]×[0,1]f(x,y)dA given...
Let ∬[a,b]×[c,d]f(x,y)dA denote the integral of f(x,y)over the region with a≤x≤b and c≤y≤d. Find ∬[0,1]×[0,1]f(x,y)dA given the following: ∬[0,1]×[1,5]f(x,y)dA=2, ∬[1,2]×[0,1]f(x,y)dA=−1, ∬[1,2]×[1,5]f(x,y)dA=4, and ∬[0,2]×[0,5]f(x,y)dA=3. Group of answer choices 2 -2 8 0 None of the above.
evaluate the indefinite integral sqrt(4-x^2)
evaluate the indefinite integral sqrt(4-x^2)
f(x), find the derivative (f^-1)'(c) at the given point c, first finding a=f^-1(c) 1. f(x)=5x+9x^21. c=-14...
f(x), find the derivative (f^-1)'(c) at the given point c, first finding a=f^-1(c) 1. f(x)=5x+9x^21. c=-14 a=? (f^-1)'(c)= ?
A) Find the derivative of the function f by using the rules of differentiation. f(x) =...
A) Find the derivative of the function f by using the rules of differentiation. f(x) = 380 B)Find the derivative of the function f by using the rules of differentiation. f(x) = x0.8 C) Find the derivative of the function f by using the rules of differentiation. D)Find the derivative of the function. f(u) = 10 u E)Find the derivative of the function f by using the rules of differentiation. f(x) = 9x3 - 2x2 + 1 u u
Two questions: 2) Use the limit definition of the derivative to find the derivative of f(x)=...
Two questions: 2) Use the limit definition of the derivative to find the derivative of f(x)= x^3 - 9x 3) Using limits, find an equation of the line tangent to the function of g(x)= 4/x^2 at x= -2 Show All Work please! thank you :)
(a) State the definition of the derivative of f. (b) Using (a), prove the following:d/dx(f(x) +g(x))...
(a) State the definition of the derivative of f. (b) Using (a), prove the following:d/dx(f(x) +g(x)) =d/dx(f(x)) +d/dx(g(x))
1) Let f(x) be a continuous, everywhere differentiable function and g(x) be its derivative. If f(c)...
1) Let f(x) be a continuous, everywhere differentiable function and g(x) be its derivative. If f(c) = n and g(c) = d, write the equation of the tangent line at x = c using only the variables y, x, c, n, and d. You may use point-slope or slope-intercept but do not introduce more variables. 2) Let f(x) be a continuous, everywhere differentiable function. What kind information does f'(x) provide regarding f(x)? 3) Let f(x) be a continuous, everywhere differentiable...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT