For the function f(x)=x^4+3x^3−36x^2−68x+240, find the intervals where f(x)>0 but f′(x)<0.   A. x<−6 and −0.8855 C. x<−5.12 and −0.8855

Q: What does the funtion N = grad(s) mean.  What does grad do ?

A: The expression N = grad(s) means that N is defined as the gradient of the scalar function s. The…

Q: #5 Find parametric equations of the I love through points P(-2,4,-1) and Q (-3,-5,6)

A: The parametric equations of the line passing through points P(-2, 4, -1) and Q(-3, -5, 6) are:•x(t)…

Q: f'(x) = f(x) = In[x(x+2) 4 (x² + 6)⁹]

A: The derivative is: f′(x)=x(x+2)(x2+6)31x3+54x2+78x+108​Explanation:The given function…

Q: Newton's Law of Gravitation can be used to show that if an object weighs w pounds on the surface of…

A: Newton's Law of Gravitation can be used to show that if an object weight w pounds on the surface of…

Q: Vector-valued functions (VVF) VVF Point P t value (for point 1 r(t) = ½ t²i + √4 − t j + √t + 1k (0,…

A: To solve the problem, I'll write MATLAB (Octave compatible) code to plot the vector-valued function…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The problem involves finding the dimensions of a lidless square-based box with a volume of 4000 cm³…

Q: Answer the following questions for the function defined on the interval [-15, 17]. f(x) = x3 ૨૨ 16…

A: Explained in detail in the below.Explanation:Given f(x)=x2−16x3​ Vertical Asymptote is given by…

Q: Use the linear approximation of f(x, y) = 3x+2y at (0,0) to estimat f(-0.02, 0.03)≈

A:

Q: Approximate 1714 using the Linear Approximation L(x) of f(x) = x 1/4 at a = 16. (Use symbolic…

A: The given function The linear approaximation at

Q: B. Find the distance between the point A(-2,2,1) and the plane 3x 5y+z = 5. - C. Find the equation…

A:

Q: In this problem, p is in dollars and x is the number of units. The demand function for a product is…

A: Part 1: AnswerThe consumer's surplus is $30.Explanation:Dear student, below is the complete answer…

Q: * x f(x) f'(x) 1 3 1 2 -1 3 3 3 3 5 -2 4 -2 4 5 4 -2 The table above gives values of f and its…

A: a)we can estimate the value of f'(1.5) to be 1.b)Why must there be a value c for 1&lt;c&lt;3 for…

Q: Evaluate the integral. (Use C for the constant of integration.) COS dx

A: To evaluate the following integral.

Q: Westside Energy charges its electric customers a base rate of $8.00 per month, plus 11 per…

A: a). E(x)=8+0.11xif0≤x≤300 300"&gt;E(x)=26+0.05xifx&gt;300b). Graph 2 is correct Explanation:

Q: Give your final answer in interval notation. Find (by hand) the intervals where the function…

A: The given function is

Q: Given the graph of f, find any values of x at which f' is not defined. 13 12- 12 OA. x=0 OB.…

A: The derivative of function f is undefined at when function discontinuous at when a vertical tangent…

Q: Evaluate the following integrals using partial fraction decomposition, when applicable. 16. dx…

A: 16). I=51​ln∣x+1x−4​∣+C 17).  I=2−3​ln∣2x+1∣+2ln∣x+2∣+CExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Consider the following higher degree polynomial function f(x) = -2x² (5-2x) (x² + 1). a) What is the…

A: (a) degree of the function=5(B) 4 distinct Zeroes = 0,25​,−i,i         In which two are real zeroes…

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s +…

A:

Q: 3. Use the method of shells to calculate the volume that is created when the following area is…

A: The exact volume is 92π(sin3−3cos3​ which is approximately equal to 2.17.Explanation:Steps and…

Q: https://www.youtube.com/watch?v=rUdcUemO_oYhttps://www.youtube.com/watch?v=W2Y6aSwwVLY Following…

A: 1. The log of the ratio of solution ATo find the decay constant 'k': k = - (1/t) *…

Q: 9) A winch at the top of a 12-meter building pulls a pipe of the same length to a vertical position.…

A: The objective of this problem is to find the rate of change in the vertical and horizontal positions…

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y, x = s + 2t - u, y = stu²…

A: ∂s∂z​=∂t∂z​=∂u∂z​=0,  when s=3,t=1,u=5 Explanation:

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

A: Find your answer below.Explanation:Step 1:    Step 2:we need to use the chain rule to approximate…

Q: ☐ ☐ 3. Find the volume of the solid formed by revolving the region bounded by the given graphs…

A: Answer Question (3) : Correct option is A Question (4) : Correct option is C  Explanation:Step 1:…

Q: A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $9 the…

A: A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $9 the…

Q: Find the derivative of y = cos A with respect to x. The derivative of y = cos ( 0- with respect to x…

A:

Q: Let an and ag = 9. n+1 a) Determine whether the given equation is explicit or recursive. The…

A: Recursive means a function that repeats or uses its own previous term to calculate next terms forms…

Q: Tutorial Exercise Find the arc length function for the curve y=2x3/2 with starting point Po(16,…

A:

Q: | x- and y-intercepts Z #9 Find f (x,y,z) if f(x,y,z)= 32²x² - 13y²+212 Pzy +XZ хуг у de ху

A: fzy​=(x2+y2)22y​−y2x​Explanation:Hope it helps youplease ask if you gets any doubt please give your…

Q: Evaluate the integral. π/2 0 [5 cos 17t i-4 sin 7t j + sin² 5t k] dt л/2 [5 cos 17t i-4 sin 7t j +…

A:

Q: 2 #12 Given f(x, y, z) = 3√ √ x²+ y²+z² (a) Find the linear approximation L(x, y, z) near the point…

A: a.) The linear approximation is L(x, y, z) = 2√2 + (-1/√2)(x + 2) + (1/√2)(z - 2)b.) The linear…

Q: An equilateral triangular plate with sides 4 m is submerged vertically in water so that the base is…

A: An equilateral triangular plate with sides   4 m is submerged vertically in water so that the base…

Q: In this question you will find a general formula for the following: fx" (In(x))² dx where n is an…

A: The given integral is

Q: Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of the question is to solve the given differential equation for the current I(t) in an…

Q: کا ✩ ផ Consider the following use of logarithmic differentiation to calculate the derivative. Let y…

A:

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: The condition of existence of the limit at

Q: Find y" if y= -4 cos x OA. y" 4 cos x

A:

Q: y= log(ln(2x)) , and explain why there is no y-intercept.  (an explanation of the problem and how to…

A: No y-intercept Explanation:

Q: Plot the points from the table below on the polar grid that follows.

A: Plot the points from the table below on the polar grid that follows.Explanation:To plot a point in…

Q: A. Find the equations of the intersection line between the planes 3x+y-z = 2 and x-y+2z = 3

A:

Q: Given the given cost function C(x)=8600+640x +0.5x² and the demand function p(x) 2 Find the…

A:

Q: Calculate the expected value of X, E(X), for the given probability distribution. -6 -3025 10 E(X) =…

A: E(X) = 1.2Explanation:The expected value of a random variable X, denoted as E(X), for a given…

Q: When a hot object is placed in a water bath whose temperature is 25°C, it cools from 100°C to 50°C…

A: The temperature of the second bath is 19.554765oC.Explanation:

Q: The random variable X has the probability distribution table shown as follows. X -2 -1 0 1 2 P(X =…

A: DETAILED SOLUTION IS PROVIDED BELOWExplanation:

Q: ns; (fog)(x) = F(x) or (go f)(x) = F(x) Refer to the graphs of the functions f, g, and h to compute…

A: a.f[g(3)]=1b.g[f(3)]=−3c.f[h(3)]=−1d.(h∘g)(2)=2e.h{f[g(3)]}=2f.(g∘f∘h∘f)(2)=−3Explanation:Given the…

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A: The objective of this question is to find the volume of a tetrahedron enclosed by the coordinate…

Q: Write the equation in spherical coordinates. (a) 5226x2 + 6y2 (b) x² + 5z² = 2 × ×

A: The given equations

Q: Answer the following questions about the graph of g based on the information related to g′ and g′′.…

A: Given graph of g

Q: Problem 3. Show that the volume of the largest parallelpiped (i.e., rectangular prism with sides…

A: V = 8abc / 3√3Explanation:Here's how we can find the volume of the largest inscribed…