Find the derivative of the function. k(x) = − 6(5x +4) -

Q: Find the (perpendicular) distance from the line given by the parametric equations (x(t) = 5+9t y(t)…

A: To find the perpendicular distance from the point P(−1, 1, −3) to the given line, we follow these…

Q: 1. Compute Lo F⚫dr, where and C is defined by F(x, y) = (x² + y)i + (y − x)j r(t) = (12t)i + (1 − 4t…

A: Step 1:Determine the numerical value of the given integral.∫C​F⋅drwhere,F(x,y)=(x2+y)i^+(y−x)j^​and…

Q: 5 2 3. f(x) = 3x3 - 15x3 Find the intervals of increasing, decreasing 4. If xy+cos y, Find

A:

Q: can you explain why the correct answer is A

A: Step-by-Step SolutionThe given function f(x) is represented by its Fourier…

Q: See image for question

A:

Q: Use technology to find f'(4), f'(16), f'(-5) for the given function when the derivative exists. f(x)…

A:

Q: Car A starts from rest at t = 0 and travels along a straight road with a constant acceleration of 6…

A: Approach to solving the question: Detailed explanation:Examples: Key references:

Q: Q1: (8+17 Marks) (a) If A-[ a ] is a 3x3 matrix; such that a = i (4-2), find the values of diagonal…

A:

Q: Determine the following limit, using ∞ or - ∞ when appropriate, or state that it does not exist. lim…

A: Step 1:Step 2: Step 3: Step 4:

Q: Given f(x)=1/x-1 and g(x)=1/x+3, the domain of f(g(x)) in interval notation.

A: To find the domain of the composite function f(g(x)), we need to determine all values of x for which…

Q: Which of the functions shown below is differentiable at z = 2? Select the correct answer below: о…

A: The third graph (straight -line function) is differentiable at x =2    because it is a smooth…

Q: Find g[f(-7)]. f(x) = x² + 1; g(x)=-5x-1

A:

Q: Given lim x-4 f (x) = 1,limx-49 (x) = 10, and lim→-4 h (x) = -7 use the limit properties to find…

A: Step 1:  Understanding the Given InformationThe limit values shown below are given to us:…

Q: The correct answer is C,i know that we need to use stokes theorem and parametrize the equations then…

A: Step 1: Understanding the Problem Statement We are given the vector field:…

Q: 5. (i) Let f R2 R be defined by f(x1, x2) = x² - 4x1x2 + 2x3. Find all local minima of f on R². (ii)…

A: (i) Finding local minima of f(x1​,x2​):  (ii)  Example of a function f:R2→R that is neither bounded…

Q: find the roots it may help to know b =1

A: Step 1: Define w Step 2: Compute p(w)Step 3:Roots of p(x) Step 4: Final Answer

Q: A circle of radius r centered at the point (0,r) in the plane will intersect the y-axis at the…

A:

Q: 9. Consider the cardioid r = 1 + cos 0. a) Set up an integral to represent the area inside the…

A: Problem AnalysisWe are tasked to:Set up an integral to calculate the area inside the cardioid…

Q: Find a · b. a = 2 = (3, 1, 1), b = (7,-5, -6)

A: Step 1: Identify the formula to be useda • b = a1b1 + a2b2 + a3b3  Step 2: Identify the givena =…

Q: 2. Answer the following questions. (A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²),…

A: Step 1:A. A vector field F is given such that we have to verify the differential identity given…

Q: #25

A: 25. Graphically, a function is not differentiable at:Sharp Corners/Cusps (abrupt changes in…

Q: Calculate the arc length of y = 5x + 1 as a varies from 0 to 1. S Submit answer Next item Answers…

A: The problem is asking us to find the arc length of the function y = 5x + 1 as x varies from 0 to 1.…

Q: Pls help me with accurate answer and solution as soon as possible pls  thank you

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank…

Q: Question 2 If A(t) = 3t² i − (t + 4); + (t² - 2t)k and B (t) = sinti +3ej-3 cos tk, find (A x B) at…

A:

Q: 12. [0/1 Points] DETAILS MY NOTES SESSCALCET2 5.5.022. Evaluate the indefinite integral. (Use C for…

A: Step 1: Step 2: Step 3: Step 4:

Q: on donne f(x) da fonction derive dhe do fonction fcsos calcule f'(x) orans chacun des Cas sulants: 3…

A: 1.  f(x)=5x−11 Derivative:  f′(x)=dxd​(5x−11)=5    2.  f(x)=−x3 Derivative: f′(x)=dxd​(−x3)=−3x2…

Q: 1. Evaluate the integral f(x, y)dxdy, of function f R² →R over the domain DC R2, where: f(x, y) = 2x…

A: ∬D​f(x,y)dxdywhere  f(x, y) = 2x + y , and D is the triangular region with vertices at  (0, -1) ,…

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: Find 8 lim x +4 (x, y) = (0, 0) (x² + y²) by converting to polar coordinates. L

A: To evaluate the limit, we convert the expression into polar coordinates, where xxx and y are…

Q: (4) (8 points) (a) (2 points) Write down a normal vector n for the plane P given by the equation…

A:

Q: 3) Prove that in extracting real mode ø, from a complex measured mode o, by maximizing the function:…

A: I hope you are finding the material engaging and informative. If you have any questions or…

Q: How would i solve this. More info is that b =1 but it might be better to solve this before making…

A:

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x-4x² at…

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

Q: 10:10 %01 目 YI HE1.PNG →> 1 + 3(8 - X) *w* =?? Example 7: Find Wn if M₁= -25 kN.m/m, M= -35 kN.m/m…

A:

Q: write it down for better understanding please

A: Step 1:

Q: Evaluate the integral using integration by parts. Sx² cos (9x) dx

A: Recall the integration by parts formula:∫ u dv = uv - ∫ v du 1. Choose u and dvLet:u = x²dv =…

Q: 1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) =…

A:

Q: Solve this differential equation: dy 0.05y(900 - y) dt y(0) = 2 y(t) =

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

Q: g Ske Find the area of the region bounded by the parabola x = 2y- y² + 1 and the line y = x + 1

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

Q: Given the graph of f(x) below. Determine the average rate of change of f(x) from x = 1 to x = 6.…

A: We have to determine the average rate of change of f(x) from  x=1 to x=6 by using the given graph of…

Q: By using Laplace transforms, solve the following differential equation subjectto the given initial…

A: Used Laplace Transformation:

Q: - - Given that a = i + j − 2k, b = 2i + 3j+k, and c = 3j — 5k, calculate the following: A. a. b B. c…

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

Q: For each function, identify all points of discontinuity and label them as removable, jump, or…

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

Q: Free Response Question-1 Calculator NOT Allowed 2 D 2 E F 4 Graph off G t -S g(x) <-4 -2 2 G 1 4 8 2…

A: May this answer helpful to you.

Q: The answer is B, Could you please show the steps to obtain the answer

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

Q: please do not use chat gpt

A:

Q: pleasd dont use chat gpt

A:

Q: The velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2…

A:

Q: || 8 Example: If ƒ (x + 2π) = f(x), obtain Fourier series expansion for the function given by 2x 1+…

A:

Q: #7 Using implicit differentiation, find the equation of the tangent line to the given curve at the…

A: Step 1:Step 2: