with the distributive property of multiplication you can take ba+ca and rewrite it as a(b+c)=ab+ac=ba+ca
The gradient of the tangent to the curve y = 5x³ + 3x² - x + 4 is 15x²+6x-1.
<h3>What is the gradient?</h3>
A differential operator is used for a function having a vector value in three dimensions to produce a vector whose three components are the partial derivatives of the function with respect to its three variables.
The given equation for the curve is;
y = 5x³ + 3x² - x + 4
The gradient of the tangent to the curve is;
Hence,the gradient of the tangent to the curve y = 5x³ + 3x² - x + 4 is 15x²+6x-1.
To learn more about the gradient refer to;
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Answer:
Correct option is A.
Step-by-step explanation:
Given the following functions we have to choose the option which illustrates a change in amplitude.
Multiplying a sine or cosine function by a constant changes the graph of the parent function i.e results in change in the amplitude of function. Amplitude is the measure of distance from the sinusoidal axis to the maximum or the minimum.
Option A: y = 3cos4x
The parent function is f(x) = cos x.
The amplitude of function changes from 1 to 3.
Option B: y = 1+sinx
The parent function is f(x) = sin x
The amplitude remains same i.e 1
Option C: y = -2-cos(x - pi)
Here also remains same.
Option D: y = tan 2x
The tangent function does not have an amplitude because it has no maximum or minimum value.
Hence, correct option is A.
Answer:
The given expression is 
.
Step-by-step explanation:
The given expression is 
by using 
property.
A pool of money where investors buy shares and a fund manager invests them and gives the investor the return; the way that most Americans invest their money because of the ease. hope that helps!
