Find the linearization L(x) of f(x) at x = a. f(x)=√√6x4, a = 0 Select one: OA. L(x) = ² × - 2 OB. L(x) = 3x - 2 OC. L(x) = 3x + 2 © D. L(x) = x+2

Q: Find the dy/dx: y=4/x^3

A:

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 0…

A:

Q: Part I Directions: Use the following list of words to help you answer the questions below. "Slope",…

A:

Q: Find the equations of the lines tangent to the curve: 2e^x = y^2 − x, at x = 0.

A:

Q: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain…

A: To solve the given logarithmic equation.

Q: Find a function whose graph is a parabola with vertex (4, -5) and that passes through the point…

A:

Q: Find the equation of this quartic that goes through the point (0, - 2). ا 3 2 1+ 0 -1 2 -5 -x

A:

Q: Consider f(x)=x^3−3x^2−9x+4 Note:Note: Use round parentheses for your intervals (open interval…

A:

Q: Find the indefinite integral using the substitution x = 6 sin(0). (Use C for the constant of…

A:

Q: Consider the function f(x) = 6√x + 6 on the interval [3, 8]. Find the average or mean slope of the…

A: Given query is to apply mean value theorem.

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A:

Q: I= d. h(x) = H= e. h(x) = I 7(x-6)(x + 7) 3x² + 5 Preview Preview (x-7)²(x + 10) (x + 13) x(x-7)(x +…

A:

Q: The equation x = ex 10. O (A) has two real solutions O (B) has one real solution O (C) has…

A: Make graphs of  y= x and y= e-x

Q: Mike Branson invested his summer earnings of $3000 in a savings account for college. The account…

A: solution:-Principal amount, P=$3000Interest rate, r=5.5%Time , t=3 months=312 years

Q: A particle moves along a line so that its position at any time t > 0 is given by the function; x(t)…

A:

Q: 6. Write the equation 5² = 25 in logarithmic form. [A] log₂25=5 [C] log,25=2 [B] log255=2 [D] log,…

A:

Q: Solve the following exponential equation. Express the solution set in terms of natural logarithms or…

A:

Q: 0.022t The exponential model A = 752 e describes the population, A, of a country in millions,…

A: Given that A=752e0.022t Here to determine the year when the population will be A=1362 million…

Q: O 8 C 48 Use differentials to estimate the change in when x=5 and dx = -1/6. Use this f(x)=√√3x+1 to…

A: we need to use the differentials to estimate the change in f(x).

Q: Find the derivative of the function g(x)=(x^2+4x+5)e^x g'(x)= Please answer ASAP and write neatly…

A: To find the derivative.

Q: For each of the following rational functions, determine the horizontal asymptote for the rational…

A:

Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. $2 per foot $6 per…

A:

Q: If f(x) + x²[f(x)]4 = 18 and f(1) = 2, find f'(1). f'(1) =

A: As we know that ddx(fg)=f'g+fg'  for two function f and g of x.see below the calculation and answer

Q: The domain of the function f(x) = √e-4-elx-3|—x is O(A) the empty set (B) a half-line of the form…

A: The given function is  f(x)=e-4-ex-3-x

Q: D and E

A: Note: Since the student has mentioned to solve only parts (d) and (e), so we are solving this…

Q: The function f(x)=3-64 has an absolute maximum value of and this occurs at a equals

A: We have to find max value of function

Q: The function f(x) has a continuous second derivative, and it satisfies f(-9) = -1, f'(-9) = 0 and…

A: use the second derivative test to check the correct answer

Q: The graph of a function f is shown below. 1 Suppose the function g is defined as g(x) f(x) =, we'll…

A: Note: - According to the company policy we can attempt only three subparts of a question so please…

Q: Use Wronskian:  X, X2,X3

A: We know that derivative power rule is  d(xn)/dx = nxn-1.     Here i attached the solution of this…

Q: A graph is defined by the equation y²(2-x) = x³. Part A: Find dy Part B: Find the equation of the…

A:

Q: Find the slope of the line passing through the points (3,5) and (3,-2). a) The slope is b) Select…

A: The line passes through the points (3,5)  and (3,-2)

Q: Find directional derivitave of f(x,y) = sin(x,y) at point (sqrt(pi),sqrt(pi)) in the direction v =…

A:

Q: Consider the function f(x) = 4 − 6x² on the interval [ – 1, 4]. Find the average or mean slope of…

A: To use the mean value theorem on the given function

Q: Solve the following exponential equation without using logarithms. 2-5X _{ = 8 The solution is x =…

A: Given that without using the logarithm we need to solve the exponential equation  2-5x = 8

Q: - x=t²-t, y=t+t

A: Given query is to find the value of t where tangent line is horizontal.

Q: Let f(x) = Then f'(x) = m = 4 sin x 2 sin x + 6 cos x ㅠ The equation of the tangent line to y = f(x)…

A:

Q: 2. (x2) y = y+2(x2)

A: Topic = Differential equation

Q: Find an arc length parameterization of a helix of height 20cm that makes 4 full roations over a…

A:

Q: equation of the line that satisfies the given conditions. Through (4, 7); parallel to the line…

A: Given query is to find the equation of the line.

Q: Describe the given region in polar coordinates. The lower portion of the region is ≤0≤ ≤rs. The…

A:

Q: vinarixinvaxana Pic г.) 4. Find Brune fronor. [

A:

Q: late the integral, if it converges. If it diverges, enter diverges e5x 1+e5x dx

A:

Q: - 2x³9x² 108x + 8 on the interval [ – 4, function on this interval. we know there exists a c in the…

A:

Q: 4. y' - (3+anx)y = 1

A: need to find out the general solution of the differential equation.

Q: Evaluate the expression. log 6274 log 6274= (Simplify your answer. Type an integer or decimal…

A:

Q: If lim f(x) exists and fis not continuous X + b at b, what does b equal? 0 2 3 -1 إذا كانت (lim f(x…

A: Given graph:-

Q: A woman attached to a bungee cord jumps from a bridge that is 26 m above a river. Her height in…

A:

Q: Now that we know derivative rules, we can leave behind the Limit Definition of the Derivative (but…

A:

Q: (x² + y² + x) dx + xycy = ax 0

A: The Solution is given below

Q: ← → CO Exit 2-1: Assignment October 26, 2022…

A: