Find the derivative of the function. m(t) = -4t (6t7 - 1)6

Q: Find the equation of the line / in the figure below. Give exact values using the form y = mx + b. m…

A: Given the function  f(x)=10x and  Point : x=log⁡(9) Put the value of x=log⁡(9) in f(x),…

Q: Number 18 please show work

A: 18. The measure of the central angle is:      Radians: 5.413 rad.      Degrees: 310.142∘

Q: Determine Whether series converge or diverge if it converge what is the limit.  $\{ \frac…

A: The given series is an alternating series, as it contains the term (-1)n-2. The general term of the…

Q: ds 5. Find a solution to this initial value problem: 3t2, s(0) = 5. dt 6. Find a solution to this…

A:

Q: Let f be defined as follows. y = f(x) = x² - 5x (a) Find the average rate of change of y with…

A:

Q: 4. In Theorem 5.4 in the Lecture Notes we proved that if F: RN → Rm is differentiable at x = RN then…

A: #####(i)The proof of the continuity of  F  at  x  relies on the differentiability of  F  at  x . The…

Q: find the curvature when t = 0.5. round off to two decimal places. r(t) = <t, 1/2t^2, 1/2t^2>

A: The first derivative of the vector function r(t) = is given by r'(t) = .

Q: 2. Suppose that U(x, y, z) = x² + y²+ z² represents the temperature of a 3-dimensional solid object…

A: Approach to solving the question in an Easy Way: We are given the temperature…

Q: Show that the function f(x, y, z) = ex²+y²+z4 defined over the domain D = {(x, y)| x² + y² + z² =…

A: Given function: f(x,y,z)=ex4+y4+z4 defined over the domain: D={(x,y,z)∣x2+y2+z2=1}, has 6 global…

Q: Use the Midpoint Rule with n = 4 subintervals to estimate the integral of x2 dx with upper bounds of…

A: The Midpoint Rule is a numerical method used to approximate the definite integral of a function. It…

Q: 2. (5 points) Let f(x) = = - - - x² − 3x+7. Find the local minimum and maximum point(s) of f(x), and…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 10. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.1.506.XP. Evaluate the integral. √xy dy Need Help?…

A:

Q: review problem please help!

A: If you have any questions let me know in the comment box thankyou.

Q: Forces of 9 pounds and 15 pounds act on each other with an angle of 72°. The magnitude of the…

A:

Q: Q2 A/ State the main field tests which may be carried out to investigate shear strength of a soil…

A: ### A. Main Field Tests to Investigate the Shear Strength of a Soil LayerTo determine the shear…

Q: Ministry of Higher Education & Scientific Research Babylon University College of Engineering - Al…

A: Q1 uses the power series method where we assume a solution in the form of an infinite series and…

Q: Attempt 11: 1 out of 2 parts have been answered correctly. Compute T2(x) at x = 0.6 for 0.6 for y=e…

A: 1. Given:  y=exWriting the given expression for Taylor's series…

Q: 36. Target Weight. The target weight w for an adult man of medium build is w(h) = 0.0728h² - 6.986h…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find a vector (u) with magnitude 7 in the direction of v = (2,4) Give EXACT answer. You do NOT have…

A:

Q: Solve the problem

A:

Q: Help me with step by step solution and accurate answer as soon as possible pls

A: We solve this problem as follows:  Step 1: Define f(x)=3x​Since the derivative of xn is nxn-1, the…

Q: Differentiate #32, #35

A: Step 1:Step 2:Step 3:Step 4:

Q: Consider the Boundary-Initial Value problem a²u J²u 9 მე2 Ət²' , 0 0 u(0,t) = 0, u(5,t) = 0, ди…

A:

Q: Use Simpson's Rule with n= 4 subintervals to estimate the integral of the square root of x  dx  with…

A: First, we need to define the function and the interval. The function is x and the interval is from 1…

Q: Help me expand this fraction below.

A: If you have any help please let me know in comment box thankyou.

Q: k (i) Evaluate k=7 k=0 [Hint: geometric series + De Moivre] (ii) Find an upper bound for the…

A: (i)Problem Statement:Evaluate the sum of the geometric series:S=∑k=0k=7​(2​1−i​)kSolution:Step 1:…

Q: Find area of the sector

A: To find the area of the sector, we can use the formula:A=2πθ​×πr2     where:A = Area of the sectorθ…

Q: Find the exact length of the curve. - x = 5 cos(t) = cos(5t), y = 5 sin(t) - sin(5t), 0 ≤ Z ≤ π

A: We find the exact length of the curve defined parametrically by x(t) and y(t) by using the formula…

Q: Solve step by step

A: Lorenz Curve:The Lorenz curve is a graphical representation of income or wealth distribution within…

Q: In each of Problems 1 through 4, draw a direction field for the given differential equation. Based…

A: The problem is asking us to draw a direction field for the given differential equation y' = 3 - 2y,…

Q: 3. Use the graph for problem #35, p175 to answer the questions. The average price (in cents) per…

A:

Q: temperature in degrees Fahrenheit, n hours since midnight. 5. The temperature was recorded at…

A: Questions 5: Part (a) :- Solution   Step 1:    Describe the overall trend of temperature throughout…

Q: I just need help with evaluating these limits.

A: (f)  limx→∞​exx​ Step 1: Identify the Growth RatesThe function in the numerator is x.The function in…

Q: Question 2 Find the shortest distance between the lines [x, y, z] = [1,0,4] + t[1, 3, −1] and [x, y,…

A:

Q: Which degenerate conic is formed when a double cone is sliced through the apex by a plane parallel…

A: The question is asking about the shape that is formed when a double cone is sliced through the apex…

Q: Find the following limit or state that it does not exist. Assume b is a fixed real number. (x-b) 40…

A:

Q: A certain type of machine produces a number of amps of electricity that follows a cyclic,…

A: Graph AnalysisGraph A:The wave in Graph A is a perfect sinusoidal wave that oscillates between 2…

Q: Find the given derivative. Dx 7x 1 6 2 이에

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: solve questions 3, 4,5, 7, 8, and 9

A:

Q: Hint: You may use the following derivative rules: ddxsin(x)=cos(x)  ddxcos(x)=−sin(x)  ddxln(x)=1x…

A: First, we need to find the derivative of the function y = 4sin(x). The derivative of sin(x) with…

Q: 2. The growth of bacteria in food products makes it necessary to time-date some products (such as…

A: Let me solve this step-by-step.(a) Finding time when bacteria count reaches 3000 million:We need to…

Q: Alt Fn Ctrl 12. Find functions f and g such that h(x) = (fog)(x). (a) h(x) = (x² + 2)² x+1 (b) h(x)…

A: Ans(a): Ans (b):

Q: find three soultion independed by lagrang 2x (y + z²)p + y(2y + z²)q = Z³

A: Let's give it a try. To provide precise answer, I believe further reference is necessary, but I will…

Q: Find area of the sector show work pls

A: The formula for the area of a sector is:  A=360∘θ​×πr2  where:• θ = 260° (central angle)• r = 11 mi…

Q: A function is defined on the interval (-π/2,π/2) by this multipart rule: if -π/2 < x < 0 f(x) = a if…

A:

Q: Solve all of these

A:

Q: 2) Drive the frequency responses of the following rotor system with Non-Symmetric Stator. The system…

A:

Q: I circled the correct answer, could you show me how to do it using divergence and polar coordinates

A: Step 1:Step 2: Step 3: Step 4:

Q: #8 (a) Find the equation of the tangent line to y = √x+3 at x=6 (b) Find the differential dy at y =…

A: If you have any problem let me know in the comment section thank you.

Q: C = (2√3)/3 or (-2√3)/3 within the interval (-2,2)

A: