Consider the following. (A computer algebra system is recommended.) -23- . -3 Sxs 0, (x + 6) - (x) O

Q: (b) Differentiate the function below with respect to a. f(x)=ln (22²+5x-7)

A: We have to differentiate the given function f(x) with respect to x. We will apply chain rule here.

Q: log 12 = O3 log 4 O4 log 3 O2 log 6 O log 3 + log 4 O log 3 . log 4

A:

Q: Consider the following function: f (x) = -1/2 x^4 +16x^2 -4 Determine f′(x) and f′′(x).…

A: Given: f(x)=-12x4+16x2-4 To determine: a) f'(x) and f''(x) b) Where the function is increasing and…

Q: Consider the function y=√√z. (0) Write the equation of the tangent line to this carve at x = 4. (b)…

A: We have given a function and we have to find equation of tangent line. For this we will use…

Q: X=C Y=F

A: Complex numbers are To Find:a) X+Yb) X-Y"As per the policy we are allowed to answer only first…

Q: Use properties of logs to simplify the ex- pression log-(r-√²-14) + log7(x + √²-14). Select all that…

A: use the property of log property .

Q: If log,, 2,log,o (2" – 1) and log,o (2* + 3) are in A.P then find thę yalue of x.

A: Topic = Sequence

Q: 3. Describe the transformations on y = 3* to become y = −2(3*) + 1

A: 3. Given that the function is                                           To describe the…

Q: Select the correct answer. Which expression is equivalent to this polynomial? 4x + 27 O A. (2z +…

A:

Q: 5rad/4 to degrees

A: Given query is to convert the radian to degree.

Q: Sketch the graph of f(x) = (x – 8)*(x + 5)"(x – 1)²(x + 3)6

A: Zeros: -5, -3, 1, 8     For higher even powers, such as 4, 6, and 8, the graph will still touch and…

Q: Compute each of the following for the polynomial f(x)=−7x^8+7x^5+7x^3−6x. (a) f′(x)= (b) f′′(x)=…

A: We have f(x)=-7x8+7x5+7x3-6x (a) Now Differentiate with respect to "x"…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.