Homework Answers
1. If a particle moves according to a law of motion S(t)=12-6-7, t 20 Where t...
1. If a particle moves according to a law of motion S(t)=12-6-7, t 20 Where t is measured in seconds and sin meters, (a) Find the velocity of the particle in terms of t. (b) Find the velocity and the speed at time t=1. (c) When is the particle at rest? (d) When is the particle moving to the right and when is it moving to the left? (e) Find the acceleration of the particle at t. (10pts) 2. Evaluate...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
2. (each 1 mark) Find the derivative of the following functions: 9x + 7 (a) y...
2. (each 1 mark) Find the derivative of the following functions: 9x + 7 (a) y = 92 - 1 (b)r = (02 9016 /09 - 9 ( 9 ) (c) y=rºcot x + 9x2 cos x – 14x sin x 9t sint (d) s = cost + +9 (e) h(x) = cº sin (vą) + 240 sec (1) ) 10 (f) f(0) = (_sin 98 (1+cos 90 ) (g) g(x) = (1 + csc(+10) + In (922 – 8)...
a. 4. Let h(x) = x4 – 6x3 + 12x2. Find h'(x) and h"(x). b. Find...
a. 4. Let h(x) = x4 – 6x3 + 12x2. Find h'(x) and h"(x). b. Find the open intervals on which h is concave upward and concave downward. Give the points of inflection for h as ordered pairs. c. a. 5. Let g(x) = x4 – 2x3 + 3. x3 This function is defined, differentiable, for all real numbers except x = where g has a vertical asymptote. b. Find g'(x), given any other value of x. c. Suppose we...
i need help with #6, #15, and # 17. please and thank you! 1 lim 8...
i need help with #6, #15, and # 17. please and thank
you!
1 lim 8 lim- 22 2 lim Problems for $1.3 For problems 1 through 14: By replacing functions with a few terms of their asymptotic series, find the following limits. et - 26 +1 tan(x) – sin(x) cosh(x) 20 cos(2) - 11 - 22 9 lim sin(x) sin (x) – 2,2 1-0 24 *+0 tan(x) tan-(x) - 22 3 lim x2 + x -2 10 lim x1...
1. Let h(x) = x4 - 6x3 + 12x2. a. Find h'(x) and h"(x). 2. If f(x) =...
1. Let h(x) = x4 - 6x3 + 12x2. a. Find h'(x) and h"(x). 2. If f(x) = 6 ln(x), for x > 0, then: a. Find f '(x). b. Find f "(x). 3. Which function below has derivative F'(x) = 30x4 ? Hint: Differentiate each of the choices until you find a result that matches this F '(x). (A) F(x) = 120x3 (B) F(x) = 6x5 (C) F(x) = 120x5 (D) F(x) = 6x3 4. Let g(x) = x4 - 2x3 + 3/ x3 Find g'(x), given...
2. a) Solve the differential equation: 2²/" - 6xy' = 27 6 Oy=4 +6226 + Ins...
2. a) Solve the differential equation: 2²/" - 6xy' = 27 6 Oy=4 +6226 + Ins 6 36 Oy=c+ c2 26 76 36 + In 3 6 6 27 Oy=4+ c227 + In 7 ...7 49 Oy=q+cqz? 27 In 2 49 +7 None of the above b) Solve the differential equation: 9z+y" + 9xy' +25y = 0 Oy= cos(5 ln /3) + sin(5 In 3/3) Oy=425 +2.23 Oy=C1 cos(52/3) + 2 sin(5x/3) y=4125 + c2205 in None of the above...
2.3 Finding Limits Analytically: 3. X + 6 Example. For g(x) find x2 – 36' 1....
2.3 Finding Limits Analytically: 3. X + 6 Example. For g(x) find x2 – 36' 1. lim g(x) 20 2. lim g(x) 0-6 Suppose lim f(x) = 4, lim g(x) = 5 and lim h(x) = 8. 4. 2+2 2+2 2+2 a) lim f (2) - g(2) h(x) -2 b) lim (6 f(x)g(x) + h(x)) 1-2
Find the derivatives of the following functions (A) y=xt-x2 (B) y=x2 (C) y-3x3 + 4x -3...
Find the derivatives of the following functions (A) y=xt-x2 (B) y=x2 (C) y-3x3 + 4x -3 (D) y=x (F) f(x)- 100x100 (G) fx)- (H) f(x)=- 1-5r ) f(x)= (J f(x) - (x + 1)(x3 +5x + 2) (Requires quotient rule) 4+x For f(x) = 6x3, find f(x) and f"(x), and fm(x). For f(x)- 5x3 -3x2+x-20, find f(x), f"(x), and f""(x)
Lidl US pietes une sidemem vers the question. Use common or natural logarithms to solve the...
Lidl US pietes une sidemem vers the question. Use common or natural logarithms to solve the exponential equation symbolically. 1 1) A) 1 In 27 + 2 3 In 3 B) = X = - In 3 In 27 + 18 In 3 C) X=- In 27 6 D) - In 27 3 In 3 - 2 Solve the logarithmic equation symbolically. 2) In x + In x4 = 5 A) x + x4 - 05 2) B) x =...
1. If a particle moves according to a law of motion S(t)=12-6-7, t 20 Where t is measured in seconds and sin meters, (a) Find the velocity of the particle in terms of t. (b) Find the velocity and the speed at time t=1. (c) When is the particle at rest? (d) When is the particle moving to the right and when is it moving to the left? (e) Find the acceleration of the particle at t. (10pts) 2. Evaluate...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
2. (each 1 mark) Find the derivative of the following functions: 9x + 7 (a) y = 92 - 1 (b)r = (02 9016 /09 - 9 ( 9 ) (c) y=rºcot x + 9x2 cos x – 14x sin x 9t sint (d) s = cost + +9 (e) h(x) = cº sin (vą) + 240 sec (1) ) 10 (f) f(0) = (_sin 98 (1+cos 90 ) (g) g(x) = (1 + csc(+10) + In (922 – 8)...
a. 4. Let h(x) = x4 – 6x3 + 12x2. Find h'(x) and h"(x). b. Find the open intervals on which h is concave upward and concave downward. Give the points of inflection for h as ordered pairs. c. a. 5. Let g(x) = x4 – 2x3 + 3. x3 This function is defined, differentiable, for all real numbers except x = where g has a vertical asymptote. b. Find g'(x), given any other value of x. c. Suppose we...
i need help with #6, #15, and # 17. please and thank
you!
1 lim 8 lim- 22 2 lim Problems for $1.3 For problems 1 through 14: By replacing functions with a few terms of their asymptotic series, find the following limits. et - 26 +1 tan(x) – sin(x) cosh(x) 20 cos(2) - 11 - 22 9 lim sin(x) sin (x) – 2,2 1-0 24 *+0 tan(x) tan-(x) - 22 3 lim x2 + x -2 10 lim x1...
2. a) Solve the differential equation: 2²/" - 6xy' = 27 6 Oy=4 +6226 + Ins 6 36 Oy=c+ c2 26 76 36 + In 3 6 6 27 Oy=4+ c227 + In 7 ...7 49 Oy=q+cqz? 27 In 2 49 +7 None of the above b) Solve the differential equation: 9z+y" + 9xy' +25y = 0 Oy= cos(5 ln /3) + sin(5 In 3/3) Oy=425 +2.23 Oy=C1 cos(52/3) + 2 sin(5x/3) y=4125 + c2205 in None of the above...
2.3 Finding Limits Analytically: 3. X + 6 Example. For g(x) find x2 – 36' 1. lim g(x) 20 2. lim g(x) 0-6 Suppose lim f(x) = 4, lim g(x) = 5 and lim h(x) = 8. 4. 2+2 2+2 2+2 a) lim f (2) - g(2) h(x) -2 b) lim (6 f(x)g(x) + h(x)) 1-2
Find the derivatives of the following functions (A) y=xt-x2 (B) y=x2 (C) y-3x3 + 4x -3 (D) y=x (F) f(x)- 100x100 (G) fx)- (H) f(x)=- 1-5r ) f(x)= (J f(x) - (x + 1)(x3 +5x + 2) (Requires quotient rule) 4+x For f(x) = 6x3, find f(x) and f"(x), and fm(x). For f(x)- 5x3 -3x2+x-20, find f(x), f"(x), and f""(x)
Lidl US pietes une sidemem vers the question. Use common or natural logarithms to solve the exponential equation symbolically. 1 1) A) 1 In 27 + 2 3 In 3 B) = X = - In 3 In 27 + 18 In 3 C) X=- In 27 6 D) - In 27 3 In 3 - 2 Solve the logarithmic equation symbolically. 2) In x + In x4 = 5 A) x + x4 - 05 2) B) x =...
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