Question

In: Math

a. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C...

a. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)

f(x) = x2 − 5x + 4

b. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)

f(x) = x(18x + 4)

c. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)

f(x) = 7x2/5 + 8x−4/5

d. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)

f(x) = sqaureroot 2

e. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative. Remember to use absolute values where appropriate.)

f(x) = 4/5-6/x,  x > 0

f. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)

g(v) = 5 cos(v) − 9/squareroot(1-v^2)

g. Find f.

f ''(x) = −2 + 12x − 12x2,    f(0) = 9,    f '(0) = 18

Solutions

Expert Solution


Related Solutions

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for...
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = 9 x8 f(x)= f '(t) = sec(t)(sec(t) + tan(t)),    −− π/ 2 < t < π/ 2 , f ( π/ 4) = −3 f(t)= Find f. f '''(x) = cos(x),    f(0) = 2,    f '(0) = 3,    f ''(0) = 5 f(x)= A company estimates that the marginal cost (in dollars per item) of producing x items is 1.67 −...
use the elimination method to find the general solution for the given linear system where differentiation...
use the elimination method to find the general solution for the given linear system where differentiation is with respect to t. 2x'+y'-x-2y=e^-t and x'+y'+2x+2y==e^t
Use the elimination method to find a general solution for the given linear​ system, where differentiation...
Use the elimination method to find a general solution for the given linear​ system, where differentiation is with respect to t. x'=9x-2y+sin(t) y'=25x-y-cos(t)
Use the elimination method to find a general solution for the given linear​ system, where differentiation...
Use the elimination method to find a general solution for the given linear​ system, where differentiation is with respect to t. x'=5x-6y+sin(t) y'=3x-y-cos(t)
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
-Use implicit differentiation to find dy/dx where x2y2 + x cos(y) = 6 -Use logarithmic differentiation...
-Use implicit differentiation to find dy/dx where x2y2 + x cos(y) = 6 -Use logarithmic differentiation to find the derivative of o(x) = (cos(x))ln(x) -Find the first and second derivatives of p(x) = 6 ln(x2+3x) -A balloon is rising vertically at a constant speed of 5 ft/sec. A boy is cycling along a straight road at a speed of 15 ft/sec. When he passes under the balloon, it is 45 ft above him.How fast is the distance between the boy...
Use the function f(x) = 2x3 - 6x2. Clearly mark your answer for each part. Find...
Use the function f(x) = 2x3 - 6x2. Clearly mark your answer for each part. Find the x and y intercepts. Give your answer as points. State the intervals of increase and decrease. State the local maximum and minimum points. State the intervals of concave up and concave down. State any in ection points. Graph the function. Label any relevant points found in the above parts.
Use implicit differentiation to find an equation of the tangent line to the curve
  part 1) Use implicit differentiation to find an equation of the tangent line to the curve sin(x+y)=6x−6y at the point (π,π) Tangent Line Equation: y= part 2) Find an equation of the tangent line to the curve x^(2/3)+y^(2/3)=13 at the point (−8,27) y= part 3) Find an equation of the tangent line to the curve (x^2/36)+(y^2/81)=1 at the point (−3,(−9/2)√3) An equation of this tangent line to the ellipse at the given point is y=mx+b where m= and b=...
Use implicit differentiation to find an equation of the tangent line to the curve at the...
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + y2 = (5x2 + 2y2 − x)2 (0, 0.5) (cardioid) y =
√xy+2x=√y . Use implicit differentiation to find y’.
√xy+2x=√y . Use implicit differentiation to find y’.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT