Provide correct answers 1. If f(x)= 5x-7, what is the equation of the tangent li

ID: 2830102 • Letter: P

Question

Provide correct answers

1. If f(x)= 5x-7, what is the equation of the tangent line to the graph of f at x= A?

a. y-a= 5(x-a)-7

b. y=5(x-a)+(5a-7)

c. y-(5x-7)=5(x-a)-7

d. (y-5x+7)/(x-a)=5

2. The tangent line to the graph y=g(x) at the pount (1,6) passes through the point (8,5). Determine each of the folowing. Provide answer in a/b form

1. g(1)

2. g'(1)

3. Find the constant a so that f(x)= {8x^2, x > 1 is continous on the whole real number line.

{ax-4, x,1

4. Which of the followin expressions represents the derivative of tan(x) at a= 2pi/3

1. Equation of tangent to a straight line at any point is same as equation of straight line so,

equation is y=5(x-a)+(5a-7) which is y = 5x-7, so Answer is B.

2. Equation of tengent passing through (1,6) and (8,5) is 7y + x =43

g'(1) is equal to slope of tengent which is (-1/7)

g(1) is value of y co-ordinate of line when x = 1 which is y = 6

3. Equating value at x = 1 as it is continious function

8*(1)^2 = a*(1) -4 and a = 12

4. Tan (2pi/3) = -1.73 so to make it 0/0 form answer has to be C

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.