=5(27)Simplify the power.=135Multiply. Try It 1 Let f(x)=8(1.2)x−5f(x)=8(1.2)x−5. Evaluate f(3)f(3) using a calculator. Round to four decimal places. Solution Because the output of exponential functions increases very rapidly, the term “exponential growth” is often used ...
f(x)=30(2)xf(3)=30(2)3Substitute x=3.=30(8) Simplify the power first.=240Multiply.f(x)=30(2)xf(3)=30(2)3Substitute x=3.=30(8) Simplify the power first.=240Multiply.Note that if the order of operations were not followed, the result would be incorrect:...
Evaluate (simplify): {eq}\frac{2^{10}}{2^{5}\cdot 2^{3}} {/eq} Quotient Rule for Exponents: The quotient rule for exponents is applied to simplify a fraction composed of exponential functions with the same base but different power. This rule is done by subtracting the denominator's...
(Simplify your answer.) Integration by Parts: Integration by parts is a method is applied to evaluate the antiderivative of the product of two differentiable and different functions. With the help of the following integration formula, we can integrate the product of two functions. ...
Simplify the results. f (x) = square root {x + 5} (a) f (-4) (b) f (11) (c) f (-8) Assume x and y are functions of t . Evaluate \frac{\text{d}y}{\text{d}t} given that: 3xy + \sqrt{2x + y} =15; \ \frac{\text{d}x}{\text{d}t...
[第62课] Example Amplitude and period cosine transformations [第63课] Example Figure out the trig function [第64课]Example- Calculator to evaluate inverse trig function [第65课] Examples using Pythagorean identities to simplify trigonometric expressions [第66课] Cosine addition identity example...
=5(27)Simplify the power.=135Multiply. Try It 1 Let f(x)=8(1.2)x−5f(x)=8(1.2)x−5. Evaluate f(3)f(3) using a calculator. Round to four decimal places. Solution Because the output of exponential functions increases very rapidly, the term “exponential growth” is often used ...
Let f (x) = 1 - 6 x, evaluate and simplify the following. square root {f (x)} Evaluate the fourth root of y times the square root of y^3 Given, squareroot (xy) = y^2 - 3, evaluate dy/dx. Evaluate the expression without using a calc...
Evaluate the expression. Simplify your answer completely. 3 log 3 (7) Exponential and logarithmic Functions a) y = e^{5x} b) y = e^{-2x} c) y = e^{3x^{2} + 2} d) y = e^{-2x^{2} + 3x^{2} + x} e) y = e \sqrt {x^{2} + x} ...
Evaluating Functions: Evaluating the functions means substituting the given numbers in the variables, and we should always keep in mind that the values should be inserted inside parenthesis. While evaluating the logarithmic functions, we need to use appropriate properties to simpl...