Make a sign diagram for the derivative of the function: f(x) = −x4 + 4x3 − 4x2 + 5

Q: Compute the exact value of the differential dy if y = 2ln(1+√√x) - if x = 4 and dx = 0.5 4 +12 3x…

A: Therefore, the required answer is dy=1/8Explanation:Step 1: Step 2: Step 3: Step 4:

Q: y = 1x312, 0 ≤ x ≤ 21

A:

Q: Consider the following list of activities with time (in months) Activity A B C D E F…

A: C) Variance of project completion time is  6.0 months2D) The probability of completing is…

Q: A company uses the model R(x) = 35x^2 - 5/3x^3, 0<=x<=10   to relate its revenue, R, in…

A: Therefore, the point of diminishing returns for this model is at 7 million dollars.Explanation:To…

Q: Question 5 Let f(x)=√√4x+1. (a) Find the equation of the tangent and normal line to the graph of ƒ…

A:

Q: (a) Let vt) be a differentiable vector valued function of t. If v. (dy/dt) = 0 for all t, can we say…

A: The question is asking whether we can infer anything about the magnitude of a vector v(t), given…

Q: = Water is flooding into a basement at a rate of f(t) = -2√√t + 5. Water is being pumped out at a…

A: a) 6.2288 ft3        b) -0.989 ft3/hr         c)  Volume max. @ t=1.457 hrs,    Total amount of…

Q: 3 Are these lines parallel, -2 2-1 and *-1 ■ 9+3 - 2? 10

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: If possible, can you provide me with a summary (2-3 paragraphs) that explains surfaces, functions of…

A: The objective of the question is to understand the connection between surfaces, functions of…

Q: n-1 1 series an = 256 4 Find the sum S5 of the first 5 terms of the geometric # a1 (1 - p) = n Use…

A: To find the sum  of the first five terms of the following geometric series.

Q: integral of (e^x)/((e^x-1)(e^x+2))dx

A:

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 - x^2 and…

A: Given the region is bounded by the curve and line

Q: Answer the following questions for the function �(�)=���2(�2) defined on the interval -6.18,0.57.…

A: answer is given belowExplanation:Step 1: -pi<x<0 Step 2: occurs at -6.18 Step 3: at x=-pi Step…

Q: Please review and solve problem 1 part 'a' and 'b' and explain how the answer was found. Problem…

A: 1(a)xcos(x3)=∑n=0∞​(2n)!(−1)nx6n+1​=x−2!x7​+4!x13​−6!x19​+...1(b)∫01​xcos(x3)dx=21​−161​+3361​=0.440…

Q: Find the nth term of the geometric sequence whose = 2 and common ratio is 3. initial term is a 1 ап…

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Two planes intersect each other as the cross product of normal vectors is non-zero.Explanation:…

Q: Find the partial derivatives of the function მა მო მო მs მო Ət w = 9r2 + 3s2 + 32 G

A: ∂r∂w​=9r2+3s2+3t2​9r​∂s∂w​=9r2+3s2+3t2​3s​∂t∂w​=9r2+3s2+3t2​3t​     Explanation:

Q: Evaluate the integral using integration by parts √(x² + 2r) e³² dr

A:

Q: 1. Evaluate fxsec²xdx

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Final answerlines are paralleli have attached the image below Explanation:

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: a.  limt→∞​C(t)=5 b. In the context of this problem, the limit               limt→∞​C(t)=5…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Angle that vector a = (12,-3,4) makes with the y-axis is  arccos(13−3​)Explanation: For any query…

Q: 17. Find the intercepts of the plane 2x + 6y − 3z - 12 = 0. -

A: Intercepts are : 6, 2, -4Explanation:

Q: Draw an appropriate tree diagram, and use the multiplication principle to calculate the…

A: The objective of this question is to find the probability that it will not rain either today or…

Q: Consider the following. 3 y=x+2 y= x² -3 -2 -1 1 2 3 (a) Find the points of intersection of the…

A: ​(a)Points of intersection of the curves.(x,y)=(−1,1) (smaller x-value) (x,y)=(2,4) (larger x-value)…

Q: (x-5)n n=0 • 8 WI 2. Determine the interval of convergence of the power series.

A: The objective of this question is to find the interval of convergence of the given power series. The…

Q: (a) Find the extreme values of f(x) = 2x3 + 3x2 - 12x + 1 on the interval (0, 2). (b) If f' (x) =…

A:

Q: y f 0 Find each of the following for the given function g. (If an answer does not exist, enter DNE.)…

A: g(x)=|f(x)|

Q: 20. Given a = [3, −5, 1], b = [−2, 4, −1] and ♂ = [7,3, −2], find a) b.z b) ax c c) 0, the angle…

A:

Q: Find the normal form of the equation of the plane that passes through P = (O, - 2, 5) and is…

A: The normal form of the equation for the desired plane is:6x−y+2z=12Explanation:To find the normal…

Q: b. How would you rewrite each expression if it was an integrand for a trig. integral? Just the first…

A: We have to rewrite each integrand1.    Sin3xcos4x2.     Sin2x3.      Cosec3xcot3x

Q: e^0.006x= 25 = 536.48 what is 536.48 rounded to four decimal places?

A: Answer : 536.4793  (Rounded to four decimal places)Explanation: Given,  e0.006x=25 Logarithm on both…

Q: Which of the following lines is perpendicular to the line (10,-6,-3)+s(1,2,-2), s ER - b.…

A: 1. Option (d) 2. Option (c) Explanation:Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: No hand written responses. I need help with a step-by-step breakdown in laymen terms for each part…

A: a. x=200b. P(x)=−0.1x2+35x−2340c. The marginal profit is: −0.2x+35d. The break-even points are x =…

Q: how did you pring the 2^2n out?

A:

Q: ii) xy5/2+x³/2y 12. Point (4, 1). d²y Ex 3. Calculate the second derivative for the following: dx2…

A: The given equations are

Q: Given the function below f(x)=√100x³ +25 Find the equation of the tangent line to the graph of the…

A:

Q: Find the minimum distance from the point (-2, -2, 0) to the surface z = √√9-2x-2y. (Hint: To…

A: To find the minimum distance from the point .

Q: Find the directional derivative of f(x, y, z) = 23x²y at the point (5, -5, 5) in the direction of…

A: Given a functionf(x,y,z)=z3−x2yTo find: Directional derivative of f(x,y,z) at the point (5,−5,5) in…

Q: If a coin is tossed 11 times, find the probability of the sequence H, T, H, T, T, T, T, T, T, H, T.…

A: The objective of this question is to find the probability of a specific sequence of outcomes (Head,…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: (-5, 2, 1) Explanation: Here, given equations of lines are…

Q: 3. (7 pts) Sketch the region bounded by the curves. Find the exact coordinates of the centroid. Show…

A: The objective of this question is to find the exact coordinates of the centroid of the region…

Q: Exercise 1.- Calculate the mean value of the function f(x) = 3x² + ½ in the nterval [-2,2] and…

A: Mean Value Theorem for Integrals: If is continuous on the closed interval and differentiable on…

Q: a f(x)= a. 2x-1 x²-9 3x3 +2x²+3 b. f(x)= x²+3x+2

A: The given function is, .The line  is a vertical asymptote of the function , if the limit of the…

Q: Let S be the part of the sphere x^2 + y^2 + z^2 = 1 that lies above the conez = sqrt(x^2 + y^2).…

A: The objective of this question is to evaluate the surface integral of the function sqrt(x^2 + y^2)…

Q: a. If the tank is full, how much work is required to pump the water to the level of the top of the…

A:

Q: find the derivite of 9 sin squared (-6x to the sixth power)

A: The answer for the given question has been solve step by step below please find the attachments…

Q: What are the values of a and b?

A: To find the value of a and b for the exponential function G(x) = a b(x-2) + c, we need to use the…

Q: Evaluate the integral using partial fraction method (3x² + 2) dx (x+2) (x²+4)

A: The given integral