Given y = f(u) and u = g(x), find functions. dy dx y = sin u, u = 3x - 4 = f'(g(x))g'(x) 11 dx = f'(g(x))g'(x) for the following

Q: Let f(x) = x²e7x. (Round all answers to four decimal places, if necessary.) (a) Find the interval(s)…

A:

Q: 1. Let v, w be any two vectors. Prove that ||v + w||² - ||v − w||² = 4v. w W (Hint: Use properties…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Refer to the figure and find the volume V generated by rotating the given region about the specified…

A:

Q: Find the limit of the rational function (a) as x→∞o and (b) as x→→∞. 6x³ +9 x³x²+x+3 f(x)=

A:

Q: D and E

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

Q: 8 A communication signal is given by the function sint y== The task is to: a) Derive and equation…

A:

Q: If a rock is dropped from a height of 164 ft, its poistion t seconds after it is dropped until hits…

A:

Q: A (green) as the graphs of a function and its derivatives: is the graph of the function is the graph…

A:

Q: The population of a city is modeled by the equation P(t) = 338,343e0.1t where t is measured in…

A: Topic = Algebra

Q: Find the derivative of f(x)= x^13+8^x f'(x)=? please answer ASAP and write neatly Thank you.

A:

Q: Find the domain of function s(x) = √-8 + 10x - - - 3x². Write your answer using interval notation in…

A:

Q: A simple series circuit has an inductance of 1 Henry, a resistance of 50 ohms, and a voltage of 5…

A:

Q: c) Describe the set of all 7. For a function f:A → B, the statement "f is surjective" is defined by…

A:

Q: At 6 P.M. an oil tanker traveling west in the ocean at 18 kilometers per hour passes the same spot…

A:

Q: 118 SATU 101 X. A. f(x) = 3x^3+12x^2+5x+7 B. f(x) = 2x^2+5x+7 [hint: this function will always be…

A:

Q: Given the function g(x) Find the first derivative, g'(x). g'(x) Evaluate g''(-5). g''(-5) = 8x³…

A:

Q: f(x)=x√√x² +9 defined on the interval -5 ≤ x ≤ 6. f(x) is concave down on the interval x = f(x) is…

A: To find the extrema

Q: Consider the space curve r(t) = (-5t - 2, − 5t - 2, 3t + 5). a. Find the arc length function for…

A: Consider the space curve r(t) = <-5t-2, -5t-2, 3t+5>

Q: ************* Sketch the graph of f and use your sketch to find the absolute and local maximum and…

A: From the graph of a function we can conclude the following.Absolute maxima value is the maximum…

Q: Suppose that f(5) = 1, f'(5) = 5, g(5) = -8, and g'(5) = 7. Find the following values. (a) (fg)'(5)…

A:

Q: 3.0 Given 2x + 6 3x -6 Find the inverse function f-1, the domain of f-1, and the range of f-¹. f(x)=…

A:

Q: Evaluate 1 Lo Toz xe dy da X=0

A:

Q: What is the slope of the line that passes through (1,-1) with y-intercept -2 2 -2 P

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

A:

Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a…

A:

Q: Find the unit tangent vector to the curve at the specified value of the parameter ()+8², ti T(1) -

A:

Q: zontal and vertical asymptotes and holes. f(x) = ²x²-6x

A: We have to find the vertical and horizontal asymptote from the given function.

Q: Use Fubini's Theorem to evaluate the double integral ſf f(x, y) d.A, where f(x, y) = 2x − 4xy² – 8y…

A:

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

A: Given query is to find the solution of the expression.

Q: Samasin Fasin Bada

A: We have to find out

Q: m: b: (______) TAKE A TOUR y =____X +.

A:

Q: APTER 2 2 Determine the equation of the following graph: -15 -20 -10 lo -5 10 ty- 15 3. What is the…

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

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

A:

Q: A certain affects virus 0.1% of the population. A test used to detect the virus in a person is…

A:

Q: Find 4 Σ (-()) i=2 First write out the summation: Find the answer:

A: Please see the below picture for detailed solution.

Q: 3. Determine where f(x) = 12x - x³ has any local maximums or any local minimums.

A: To determine maxima or minima for the given function

Q: Simplify as much as possible the expression for the product of functions h = f.g f(x) = x+2, g(x) =…

A:

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

A:

Q: Find the distance between the points A(1,3,5) and B= (7, 12, 7).

A: find the distance between two point  this is the question of vector geometry  we have to find the…

Q: Find the order one Differential equation of (x-2)y'=y+2(x-2)^3

A: x-2y'=y+2x-23

Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: According to bartleby guidelines when student post multiple subpart question then expert must have…

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

A: The velocity of the graph is increasing when the graph goes upwards.

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

A:

Q: 4. 4.1 4.2 The demand for a certain item is given by q=-5p²-7p+900 where p represents the price of…

A:

Q: Question A rectangular storage container is to have a volume of 700 ft³. The bottom will cost $5 per…

A:

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 7…

A:

Q: Evaluate the expressions. (Simplify your answers completely. Use only positive exponents in your…

A:

Q: Consider the function f(x) = = function on this interval. 1 on the interval [4, 7]. Find the average…

A: To use the mean value of theorem for the given function

Q: Consider the region bounded by the curve y = 27x − x4 and the x-axis.  Find the exact area of the…

A: