need help with A, and B 4. Given f(x)=x? 4x.+5 ,find the following. Show all the...
please help with number 15
15. Given the following definite integral, lo x + x dx a. Evaluate the integral using limits, showing all steps: b. Confirm your result by using the rules of integration and the Fundamental Theorem of Calculus: TUUKU U uit alta vi tile region bounded by the following equations (Note that this is an "area between functions" question, and not a question of finding the definite integral): y = 5x - 1 y = 0 x...
8. Use the Fundamental Theorem of Calculus to find F'(x) given
F(x)=
pos() In(t+1) 8. (5 points) Use the Fundamental Theorem of Calculus to find F"(x) given F(x) - KREME RE Juin(a) sec" (6)
Given g(x)= $*(** +VT)dt, use the Fundamental Theorem of Calculus, Part 1 to find g'(x). Show all steps using proper Leibniz notation.
11. a) Find the derivative of f(x) by using the definition of derivative: lim f(x+4x) - f (x ) Ax0 Ar f(x) = 4x² +8 Make sure you show all your work clearly and neatly!!! If steps are not clearly written you will not receive any credit. (9 points) f'(x) = b) Check your answer from part (a) by finding the derivative of f(x) = 4x² +8. (1 pts) f'(x)= c) What is the instantaneous rate of change of the...
show work, neat writting please and thanks!
9) Given: f(x) = x - 7x2 + 4x + 12 a) List some possible rational zeros. b) Use the Factor Theorem to determine if (x - 6) is a factor of f(x). (Yes or No? Show your work.) c) If (x - 6) is a factor, use synthetic division to find the other factors. List them here. d) List the zeros of f(x). C) Rational Functions: 10) Given the rational function: a)...
(1 point) Use part I of the Fundamental Theorem of Calculus to find the derivative of (1 point) If f(x) dx 21 and g(x) dz 16, find [4f(z) +6g(a)] dz. Answer: 164
(1 point) Use part I of the Fundamental Theorem of Calculus to find the derivative of
(1 point) If f(x) dx 21 and g(x) dz 16, find [4f(z) +6g(a)] dz. Answer: 164
please show work, im so lost on all of these
Given f(x, y) = 4x 5xys + 3y?, find f(x,y) = fy(x, y) = f(x, y) = 5x2 + 4y? $2(5, - 1) = Given f(x, y) = 4x2 + xy 4x² + xys – 67%, find the following numerical values: $:(3, 2) = fy(3, 2) = Given f(x, y) = 3x4 – 6xy2 – 2y3, find = fry(x, y) = Find the critical point of the function f(x, y)...
Please answer with all steps. Thanks
Given "x4 3 cos + 7 sin t 0.75_dt F(x) =let, d, G(x) =1 dt 5t0.75 0 Using the Fundamental Theorem of Calculus Part II, calculate the limit Lim
Given "x4 3 cos + 7 sin t 0.75_dt F(x) =let, d, G(x) =1 dt 5t0.75 0 Using the Fundamental Theorem of Calculus Part II, calculate the limit Lim
10. f(x) = logs (sec(4x' - 2x + 5)) Chapter 4 - Applications of the Derivative 11. Given the function f(x) = 2x - 3x2 - 12x + 5 Find critical points (including relative minimums/maximums, if applicable), where the function is rising and falling, where it is concave up and down, any points of inflection. Summarize below. a. f(x) = b. f'(x) = c. Inflection points (give as points) d. Local MAXs (give as points): e. Local MINs (give as...
help me with 4&5 please ! in dept
4. Given f(x) = 4x–3 and g(x)=*#3, determine if the functions are inverses of each other by showing (fºg)(x)=(8°f)(x) = x.(6 points) I 5. Assume that f(x)=9x² - 5 is one-to-one for the set of x 20 (This means it has an inverse for those values of x). Find f '(x).