Question
f(a + h) - f(a)
a. Use the definition man = lim
h-0
to find the slope of the line tangent to the graph of f at P.
b. Determine an equation of the tangent line at P.
f(x) = - 3x + 3, P(5, - 12)
a. man
b. y=O
Expand
Transcribed Image Text

f(a + h) - f(a) a. Use the definition man = lim h-0 to find the slope of the line tangent to the graph of f at P. b. Determine an equation of the tangent line at P. f(x) = - 3x + 3, P(5, - 12) a. man b. y=O

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: 10. Determine an equation for the function represented by this graph. Explain your choice. 20 -20 20...

A: Click to see the answer

Q: A person going to a party was asked to bring 5 different varieties. How many different selections ca...

A: this is a combination related question  so the formula for combination of different selection is C(n...

Q: Using the Integral Test, check the convergence of the following series by verifying the necessary co...

A: Integral test:   If f is continuous, positive, and decreasing on [1,∞)                 such that an ...

Q: Complete the table and use the result to estimate the limit. Use a graphing utility to graph the fun...

A: Given function is fx=1-exx

Q: I can use the sum and difference formulas for cosines and sines to derive the product-to-sum formula...

A: Click to see the answer

Q: Hw: Al-z,0), B(210), (slope of Am) - (slape of Bm) = -, what's the trajeebory of m?

A: Given, A (-2, 0) and B (2, 0) (Slope of AM)*(Slope of BM) = -1/2 Let's assume, The coordinate of poi...

Q: For the DE (D^2 - 2D - 3)y = 0, Find the value of y when x =1, for the particular solution that has ...

A: Click to see the answer

Q: Let f(x) = ax3 + bx2 +c, where a, b,c € R. The graph of f passes through thepoint (2,9). The graph o...

A: Click to see the answer

Q: Answer question 1

A: Click to see the answer

Q: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 4

A: Click to see the answer

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green) a...

A: Click to see the answer

Q: #52 only

A: Click to see the answer

Q: Find k so that f has a relative extremum at the point where x = 3. k 2.

A: Click to see the answer

Q: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 135°. Enter ...

A: Click to see the answer

Q: . Let f (x) = x³ - ja* . Determine where f is increasing and where f is decreasing.

A: Click to see the answer

Q: Use multiplication or division of power series to find the first three nonzero terms in the Maclauri...

A: Click to see the answer

Q: 15.7.1

A: Click to see the answer

Q: Find the value of a when the distance between the points (3, a) and (4, 1) is sqrt(10)

A: Click to see the answer

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation. a.) y = si...

A: Find the amplitude, the period, and the phase shift and sketch the graph of the equation. a.) y = si...

Q: 1. Determine the convergence or Divergence of Sequence with given nth term. If the sequence converge...

A:  Definition used -                  Ratio test-                               L=limn→∞an+1an        ...

Q: Graph two full periods of the function f (x) = cos (6x) and state the amplitude and period. Enter th...

A: Given: fx=cos6x first we drawing graph of given function as below

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1.

A: The given function is fx=3x. The graph of the function as shown below:

Q: Please help me with this problem. Thank you!

A: Click to see the answer

Q: On the topic of Area & Arc Length in Polar Coordinates How would I go about solving a problem li...

A: Form the graph it is observed that the area is required only for the right half of the circle.   Whi...

Q: Answer attached question

A: Explanation of the solution is given below...

Q: sketch the region described by the followingspherical coordinates in three-dimensional space. ρ = 3

A: The given equation is ρ = 3. Sketch the graph of ρ = 3 in spherical coordinates as shown below.  

Q: See attached these are practice problems

A: Click to see the answer

Q: On the topic of Area & Arc Length in Polar Coordinates How would I go about finding the area of ...

A: Given: The region is three petals of r=cos9θ. Formula for area in polar cordinates: A=12∫βαfθ2dθ and...

Q: Suppose the following values of f' (t) are known. t f' (t) 4 1 6. 1 Use them to estimate the change ...

A: Given,

Q: Write the equation b4 = 625 in its equivalent logarithmic form.

A: Click to see the answer

Q: Graph f(x) = 2x and g(x) = 2x+1 in the same rectangular coordinate system.

A: Given: fx=2x, gx=2x+1 for drawing graph of given function, first we will simplify given gx so, gx=2x...

Q: Graph one period of the function y = 3 sin 2x.

A: Given: y = 3 sin 2x To graph: One period of the given function.

Q: Solve by recognizing that the differential equation is one of the three types whose solutions we kno...

A: Given, y' = -0.13y y(0) = 9 y(t) = ?  

Q: 1. Find the exact value a. cos (5π/4) b. cos (-11π/6) c. tan (5π/6) d. tan (-π/3) e. cot 120° f. cot...

A: Click to see the answer

Q: I'm confused How would I convert the rectangular equation to polar form? x^2+y^2=16

A: Click to see the answer

Q: (y+2)dx +y(x+4)dy = 0 ; y(-3) = -1 a. Identify the Differential equation if it is an ODE or PDE.b. E...

A: Click to see the answer

Q: Let y = . Find the values of x for which y is increasing most rapidly or decreasing most rapidly. I+...

A: y=91+x2 Differentiating with respect to x, we get dydx=ddx91+x2=9-11+x22·d1+x2dx    ∵ddx1x=-1x2=9-11...

Q: Use a Riemann sum with m = n = 2 to estimate the value of I/ Vi+z+y³ dA y3 dA R over R = [1,2] × [0,...

A: Given, ∫∫R1+x+y3dA Use Riemann sum with m=n=2, over R=[1,2]×[0,3]={(x,y)∈R2:1≤x≤2 and 0≤y≤3}

Q: (종) sin

A: To determine the value of sin π6

Q: Find the solution y(t) by recognizing the differential equation as determining unlimited, limited, o...

A: we have given this differential equation   we have to determine unlimited limited and logistic grow...

Q: Find the radius and interval of convergence (assume the series converges at the endpoints of the int...

A: Click to see the answer