limx→0 0 O -4 2 -8 2(x-2)² +4(x-2) I None of the above =

Q: If √ (2-4) (2 + 6) dr = Adr 2-4 Bdr +6' then A+B =

A:

Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

A:

Q: If y=xe, then find d" y dx"

A:

Q: Determine the area of the region bounded by two the curves f(x) = x² - 18x +36 and g(x) = 9x + 18.

A:

Q: Find the absolute maximum of the function f(x)=x²-1x +4 on the interval [0, 2]? (a) The absolute…

A:

Q: Assume that f (x) and g(x) are both differentiable functions for all x. Find the derivative of h(x)…

A: Given h(x)=f(x)·g(x)2

Q: Use logarithmic differentiation to find the derivative of th y = (In(x)) cos(2x) y'(x) = ||

A:

Q: Find the critical numbers of the function. h(t) = 3/4 - 2¹/4

A: Topic = Derivative

Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. 2s + 12 s² + 12s +85 F(s) :…

A: Topic = Laplace transform

Q: > Read over Example 4 carefully. Then show how you decompose the following rational expression into…

A:

Q: Find f(x,y) and fy(x,y). Then find f, (2, -1) and fy(-4,3). 4 f(x,y) = In 9x² + 8x²y²| {x(x,y) =

A:

Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r = 2…

A:

Q: Homework: four companies locations V,X,Y and Z are given with rating with respect to certain factors…

A:

Q: Linear

A:

Q: Suppose that you can calculate the derivative of a function using the formula f′(x)=4f(x)+5x. If the…

A: Given: the derivative of the function, f'x=4fx+5x

Q: f(x) = sin² x, find f'(x) Find f'(4) (round to 3 decimal places)

A:

Q: Use the Ratio Test to determine all the values of t that will make the following series converge.…

A: Given series:- ∑k-0∞6·t2k-19k

Q: Find the open intervals where the function graphed below is a) increasing, or b) decreasing. Ay 10-…

A: Here we can answer both the question in the below steps using the given graph.

Q: The function f(x) = 2 + 6x + 54x has one local minimum and one local maximum. This function has a…

A: The given function is: fx=2+6x+54x-1   First, we have to find the critical point by solving f'x=0.…

Q: Evaluate the following integral

A:

Q: A bacteria culture started with 8500 bacteria and increased by 35% in the first 2 hours. (a) Find…

A: Let Q(t) be number of bacteria at time t ⇒Q0=8500 initial number of bacteria

Q: First the pieces: 25 5353 7 23 SS 8z as by And putting it all together: dz dz dy dr Ot dy Ot

A:

Q: Find all second-order partial derivatives for the function r = In |5x+y|. XX xy 11 = 25 (5x + y)²

A: Given function:- r=ln5x+y

Q: Need Help? m/min. Read It Watch It Master It

A: Topic:- application of derivatives

Q: 1. Find the area of the region enclosed by the curves y = x² and y = x by integrating with respect…

A: Please see the below picture for detailed solution.

Q: 6.) A function g is defined by g(x)=3e³x, what is g"(2)?

A: Topic = Derivative

Q: (5+51)³

A:

Q: 8.) What is the 20th derivative of y=sin(2x)?

A:

Q: Solve the differential equation. y' − y = 9ex

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Write an equation for line L in point-slope form and slope-intercept form. L is parallel to y = 3x.…

A:

Q: Let f(x)=√4x² + 4x + 2 f'(x) = f'(4) = (round to 3 decimal places)

A:

Q: a. Determine all values of x that satisfy the equation: 3x-2 = 27x+5 b. Use the properties of…

A: Topic - Equations We are given a. Determine all values of x that satisfy the equation: 3x-2 = 27x+5…

Q: A rational fraction of the form Select one: True False f(x) is called a proper fraction if degree of…

A: Solution is given below.

Q: Evaluate the triple integral. III TV where G is the rectangular box defined by the inequalities T…

A:

Q: Which of the following will the limit lim x² - 6x +9 lim x -3x² - 4x +3 2 x²-8x+16 x-3x²-6x+8 lim…

A:

Q: Find the absolute extrema of f(x) = 2x07 on the interval [−4, -2]. f(x) = -4,2 (-4) f(x) = -2,2 (-2)…

A:

Q: Consider the function f(x) = 4√√x + 6 on the interval [2, 5]. Find the average or mean slope of the…

A: Given, f(x)=4x+6

Q: Consider the function f(x): this interval. = on the interval [3, 10]. Find the average or mean slope…

A:

Q: Write the function below in the form y = f(u) and u = g(x), then find y = cos (csc x) What are the…

A:

Q: Find the slope of the tangent line at the point (1, 1) for the ellipse 9x² + 7y² = 16. y'(1) =

A:

Q: on the 4th implication where does the exponents of the i goes please elaborate

A: To find the rectangular form.

Q: ✔ BOTTOM LINE QUESTION Find the antiderivative tan* tdt.

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule

Q: Let f(x)=-4x-1 and g(x)=x²-2 Find f(g(6)). f(g(6)) -

A: Please see the below picture for detailed solution.

Q: what is the set of whole numbers, positive integers, negative rational numbers, and natural numbers?

A: To write: The set of whole numbers, positive integers, negative rational numbers, and natural…

Q: For y = x7/¹, find the point(s) where the tangent line is horizontal and determine where y' > 0 and…

A:

Q: Evaluate the following definite integral leaving the result in its EXACT form by showing the…

A: Given integral:- ∫0π3sinxlncosxdx

Q: Give your answer in interval notation. Determine the intervals where the graph of f(x)=x²-3x²+x-1 is…

A:

Q: 200 2. Evaluate: 22oo(2x – 5)2

A:

Q: Find the first partial derivatives of x - y x+y f(x, y) = af -(1, 1) = д х of ду -(1, 1) = = at the…

A: Concept: Let's say we have a function f(x, y) that depends on the values of two independent…

Q: Find the equation of the line tangent to the curve -8x4 + y5 + 7x + 6y = 0 at the point (0, 0).…

A: