a. Evaluate lim f (x) , where f(x) = {Nx + (M + 77) if x< 5 if x25 "p" is any constant and also find IN-px the value of "p" assuming that lim f(x) exists. x-5 x-5 3x²+13x+4 x--M 2x+5x-12" b. Evaluate: lim

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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M=14 N=23
(Nx + (M + 77) if x < 5
N- px
2.
a. Evaluate lim f (x), where f(x) =
if x 25 P" is any constant and also find
x-5
the value of "p" assuming that lim f(x) exists.
x--5
b. Evaluate: lim +13x+4)
x-M 2x+5x-12
3. By using first principle of differentiation find f'(y), if fy) = My- N
4.
a. Find the local maxima and minima for the function f(x) = 96x – 18x2 - N
b. Find y' of the following function using MATLAB
y = sec(ln(2M x))e5x +
cos (2Nx)
a. A particle moves through a straight line according to the below given equation:
s = 5t3 + t2 - (M + 10)t.
Here, s is displacement at time t. Find the following
i. Velocity
ii. Acceleration
b. Find y", if y = (7M)v5 + cosec (v) + sin(e7M)")
Transcribed Image Text:(Nx + (M + 77) if x < 5 N- px 2. a. Evaluate lim f (x), where f(x) = if x 25 P" is any constant and also find x-5 the value of "p" assuming that lim f(x) exists. x--5 b. Evaluate: lim +13x+4) x-M 2x+5x-12 3. By using first principle of differentiation find f'(y), if fy) = My- N 4. a. Find the local maxima and minima for the function f(x) = 96x – 18x2 - N b. Find y' of the following function using MATLAB y = sec(ln(2M x))e5x + cos (2Nx) a. A particle moves through a straight line according to the below given equation: s = 5t3 + t2 - (M + 10)t. Here, s is displacement at time t. Find the following i. Velocity ii. Acceleration b. Find y", if y = (7M)v5 + cosec (v) + sin(e7M)")
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