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Q: Which of the following functions are solutions of the differential equation y′′−9y′+18y=0?A. y(x)=e3...

A: The given differential equation is,

Q: Calculate dy/dx Simplify your answer. y = x3(8 − x2) dy/dx=

A: Product rule:

Q: Evaluate the integral by changing to spherical coordinates. 2 - x2 -y2 16 x2 4 yz dz dy dx 0 10 x2 y...

A: The integral is given by,

Q: 3.4 Can you show me the steps to solve the problem? Directions: Find the limit or show that it does ...

A: Divide the expression by the highest power of the denominator.

Q: -x2 The demand function for a product is p D(x) = 300e200 revenue. Show all of your work to prove it...

A: We know that Revenue function is given by

Q: The sales of Sherwin-Williams paint in different regional markets depends on several input variables...

A: From the given information, the paint sales model is S(x) = 597.3 (0.9214x + 12). Where x be the cos...

Q: Finding a Polynomial Q/S Find a third-degree polynomial p(x) that is tangent to line y=14x-13 at the...

A: The equation for a third-degree polynomial is,

Q: HELP ME BEFORE 11:59pm

A: Given, function is

Q: please answer question 19

A: Consider a function f(x)=2x+cosxWhen 2x+cosx=0 then f(x)=0f(x)=0 occurs at x intercept.

Q: R(q)= (20000/q^1.5)*q what is the marginal revenue ?

A: Given, function is

Q: Optimization: You and your classmates have decided to enter an ice sculpting contest. Before you beg...

A: Given an ice block with the following conditions,

Q: Find the derivative of the vector function ta x (b tc), where r(t) = (-1,1,-2) а %3 (-2,3, -1), ь 3 ...

A: Given vector function is,

Q: The marketing division of a large firm has found that it can model the sales generated by an adverti...

A: From the given information, it is observed that the aim is to find the ds/dx at the point x = 16.

Q: Find the coordinates of the center of mass of the following solid with variable density The interior...

A: Given,

Q: I need help with question 17 in Section 3.11, page 264, of the James Stewart Calculus Eighth Edition...

A: We will use the formula of tanh(x).

Q: For f(x) = −x2 − x, evaluate and simplify f(x + h) − f(x) h

A: To compute the difference quotient ( the given ratio) for the function f(x)

Q: Т2) - та) Simplify the difference quotient for the following function х -а f(x) x3-17x

A: Given function is

Q: I need help with g. and h. NOT THE REST OF THEM.

A: Given functions are

Q: Calculus Question

A: The given function is,

Q: 5 5 find sec(0) 12 and tan(e) 13 If sin(0)

A: Given,

Q: f(x)-f(a) a. Use the definition mtan = lim to find the slope of the line tangent to the graph of f a...

A: Part (a) P(-3, 2) = [a, f(a)]Hence, a = -3, f(a) = 2Please see the whiteboard for the calculation of...

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: You have asked two unrelated questions in the same post. I will address all the sub parts of the fi...

Q: Solve the equation for x: 272x+1=1/3

A: To determine the solution of the equation.

Q: Can I get help with this problem step by step?

A: Given:

Q: If f(x)=4x2 - 5x + C and f(1)=13, find the value of constant C

A: Given:

Q: Find the partial derivatives, fx and fy, for f(x, y) = (5x + 4y)^10

A: f_x is partial derivative w.r.t. x. Used exponent rule and chain ruleAnswer: f_x= 50(5x+4y)^9

Q: 1. Find the following limits. e3r lim 3.x е (a) (b) lim e3/(2-a) lim In(1x2 - In(1 x (c) _ (d) lim l...

A: Click to see the answer

Q: Differentiate. y = 4x/(7-cot(x))

A: Recall the following fact.

Q: The accompanying table gives the number of men 65 years or older in the United States and the percen...

A: Given the data

Q: Solve the equation for x. Need full answer. 272x+1=1/3

A: Given:

Q: Let D(x be the demand (in units) for a new product when the price is x dollars. (a) Write sentences ...

A: (a)

Q: 17. Rectangles beneath a semicircle A rectangle is constructed with its base on the diameter of a se...

A: Given:A rectangle is constructed with its base on the diameter of a semicircle with radius 5 and its...

Q: If the figure is the graph of the derivative f', answer the following: Where do points the points of...

A: Point of inflection occur at f"=0That is (f')'=0Means we have to find where the graph of f' takes tu...

Q: 3.3 Can you show me the steps to solve the problem? Directions: (a) Find the intervals of increase o...

A: to determine the function increasing.

Q: Consider the function f(x)=2x^3+6x^2-90x+8, [-5,4] find the absolute minimum value of this function....

A: The function is given by,

Q: f(x)-f(a) for the following function х -а Simplify the difference quotient f(x) = x3-17x

A: Given,

Q: Problem 3: Evaluate the following limits, or give a short reason why they do not exist. (You may use...

A: a) To evaluate:

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: Given,

Q: 4+3t t 130000 6-t Find Notes: Enter "DNE" if limit Does Not Exist (a) lim g(t) 1 t->-oo (b) lim g(t...

A: Given function is

Q: For what value of k will y=2x^2+kx-9 have a minum at x=3?

A: The given equation is,

Q: Find a rectangular-coordinate equation for the curve by eliminating the parameter. x = 2 cos(t), y =...

A: Given parametric equations are

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series ...

A: The given function is,

Q: What are the reference angles for the following

A: For the first image,

Q: 2. Microtutorial eled by the equation The Pacific halibut fishery has been mod- 8 x 107 B(t) 11 1 +3...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Consider the parametric equations below.x = 5 + 2ty = 1 - t2 (b) Eliminate the parameter to find a C...

A: From the equation for x, write t in terms of x.

Q: A wheat farmer is converting to corn because he believes that corn is a more lucrative crop. It is n...

A: From the given,

Q: number 5 please

A: Consider the given function,

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: The problem conerns applying chain rule by expressiong f(x) as a composite function f(x)=g(h(x)). We...

Q: find the critical numbers of the function

A: Firstly, we find h'(t) for given function h(t)

Q: How are the directional derivative and partial derivative related (more information in the image)

A: The correct answer is the first option i.e. option A.