Find the following limits, if it exists. a. lim x²+2x-8 x+4 x-4 x-2 b. lim x-2 √2x+5-3 Factor (x+4)(x-2) (x+4) (√2x+5+3) (√2x+5+3) Y mood = you Is wod2 0085 M -4-2=6 favoird amit поэ

Q: In my calculus 3 class, my professr is talked about the derivation of an equation. However, I feel…

A: The fifth line is:∣a∣2∣b∣2−∣a∣2∣b∣2cos2(θ)Taking out common ∣a∣2∣b∣2, we…

Q: 4. Please answer all parts to the following diff eq. problem:

A:

Q: Consider the function f(x,y)=10/x^2+y^2A) Sketch a contour map containing at least three level…

A: .  Show how the curve flattens                as xxx increases.

Q: In this assignment we will introduce a standard method to find approximate solutions to nonlinear…

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

Q: Does the following matrix have an eigenbasis? [1 1 11 A = 1 0 1 [1 1 0]

A: ### Step 1: Find the Characteristic PolynomialThe characteristic polynomial of a matrix  A  is given…

Q: 4. Suppose that the following information about a function f is known. It has continuous partial…

A: To find the gradient of the function  f  at the origin given the directional derivatives, we need to…

Q: Evaluate 3 √₁³ ³ (x² 2 - 2x + 2) dx A/ Previous Page Next Page Submit Quiz 0 of 25 questions saved =

A: ANSWER : ​​   ANSWER : ​​

Q: I am studying for a test I have tomorrow, this is one of the example problems that will be one the…

A: Step 1: Step 2: Step 3: Step 4:

Q: The price of a beef roast is $7.82/kg. How much will a 2kg roast cost?

A: The given values are:Price per kg of beef roast = $7.82Weight of the roast = 2 kg

Q: the graph below to determine the points at which the function fhave discontinuities. For each point,…

A: To determine the points of discontinuity from the graph and identify the conditions not satisfied in…

Q: Consider the function f(x) = = log4 x - 27. Recall the Intermediate Value Theorem (IVT). Within the…

A:

Q: We seek to maximize the volume of a cylinder, V = πr²h, but its radius and height sum to one, i.e. r…

A:

Q: Calculus I  May I please have solutions for the following questions? Thank you

A: 2. Show that the function f(x)=(x+2x3)4 is continuous at a = -1.To prove that a function is…

Q: (2)

A: Step 1: Step 2: Step 3: Step 4:

Q: Show all steps, thank u

A: The sum of the geometric multiplicities is 1+2=3, which is equal to the dimension of the matrix (3).…

Q: choose any quadratic formula

A: If you have any help please let me know in comment box and then I will help you.

Q: 8. (10 points) A cyclist traveling at 40 ft/s deceleration at a constant 4 ft/s². (a) Find the…

A: Step 1: NOTE As there is no information about the initial position so we have assumed that the…

Q: Solve (a) and (b) only

A: To solve the given problem, we will start by expressing the rule (*) in matrix form and then find…

Q: Solve using Lagrange Multipliers. Then In that same spirit, calculate the exact shortest distance…

A:

Q: Given the following vectors: u = 361-262 + 83 v = 261-462-383 w=-81 +262 + 283 Find the magnitude of…

A: Given vectors are:u=3δ1​−2δ2​+δ3​v=2δ1​−4δ2​−3δ3​w=−δ1​+2δ2​+2δ3​ The magnitude of a vector…

Q: Help by write cartesian transformation in homogeneous coordinates that scales the object by two in…

A:

Q: Question 7 (3 points) x²+x-2 If f(x) 2x-2 x #1 k x = 1 and if f is continuous at x = 1, then k ○…

A: Step 1:Evaluate the limit of the given function as it approaches 1. If the result is 0/0, the limit…

Q: Please answer all three questions!!!

A:

Q: 3. Consider the function f(x) 5 = 23 31 3° -x2 3 +13x+1 (a) Plot this function in Desmos. Use a…

A: Step 1:Step 2:Step 3:Step 4:Step 5:

Q: From a calculus perspective, a monotone function is a function whose derivative never changes sign.…

A:

Q: PLS HELP ASAP FOR ALL QUESTIONS ASKED

A:

Q: ? Exercise 3.7.2 1 Shift the reciprocal squared function right 3 units and down 4 units to get a new…

A: Step 1The given reciprocal function is   g(x)=x21​  The objective is to plot the graph of the square…

Q: I am studying for a test I have tomorrow, this is one of the example problems that will be one the…

A: Step 1: Step 2: Step 3: Step 4:

Q: use the attached image to graph the linear subspace defined by the kernel.

A:

Q: Provide detailed steps and explanation in legible format.

A: Step 1:Given: Angle of inclination θ=27o           Mass of the truck m=2500lb Step 2:The forces…

Q: PLS HELP ASAP FOR ALL QUESTIONS ASKED

A: To match the vector coordinates to each Cartesian vector, we need to analyze the directions and…

Q: D/Find E(X) and Var(x) of X, where X is the discrete random variable whose probability table is…

A: The problem asks for the expected value E(X) and the variance Var(X) of a discrete random variable X…

Q: Hi, could you answer this question and explain the principle you will use?

A: Certainly! Let's break down the question and explain the concepts involved.  (a) Definitions: (i)…

Q: Course Name: Calculus and Analytical Geometry-1 Course code: MAT-132 Solution must be handwritten…

A: In the given binomial expression, (c-d)^6, the values of n, a, and b are as follows:n=6a=cb=-d

Q: Let f and g be the functions in the table below. N X f(x) g(x) f'(x) g'(x) 1 3 2 4 6 2 1 3 5 7 3 2 1…

A: (a)Consider, F(x)=f(f(x))Differentiate with respect to x. (Use chain rule of…

Q: 1½-sin² x 2 x. Find the second derivative of y = ½ sin Oy" = COS x Oy" y" = cos² x - sin² x о 2 y" =…

A:

Q: (9)

A: The problem is asking us to find the volume of the region enclosed by the surfaces defined by the…

Q: The height of a ball after being dropped from the top of a tower is given by s(t) = - 16t² + 85…

A:

Q: need help with this. I would apprecaite if you explain as well. Thank you

A: Here is the solution: I hope you have a great day! Keep on learning. Thank you, and God bless!

Q: dy = y′ of y = x³x¯¹+2x² dx Using logarithmic differentiation, find the derivative n(x x-1+2x² +…

A: Step 1:​y=x3x−1+2x2Take natural log both…

Q: K Use technology and the following matrices to find the matrix products and answers for parts a…

A:

Q: Help

A:

Q: -Using Grammar's Rule to solve the following system (using determinants) 3x1-2x2 = 4 x₁-4x2=-2 Using…

A:

Q: Hi, could you solve this question? part a and b.

A: Detailed explanation: Part (a) 1. Find a normal vector to the plane T.The equation of the plane T is…

Q: 6) Find lim (1-2x)= 17100

A: Step 1:Given limx→−∞​(1−2x)x1​Consider y=(1−2x)x1​Thenlimx→−∞​yThe expression is y=(1−2x)1/xStep…

Q: (11)

A:

Q: need help with finding shorter base in explaination part

A:

Q: Please see the attached image for the questions on the topic "conics". Please see the image attached…

A: The given equation is in the form of (x-h)2a2+(y-k)2b2=1, which is the standard form of an ellipse.

Q: Take a uniform ball of radius R = 2, and drill a cylindrically-shaped hole of radius r = a through…

A: Note: This problem involves a sphere with a radius R=2 and a cylindrical hole drilled through the…

Q: Evaluate the given integral by making an appropriate change of variables. SL 7 x4y 7x-y R dA, where…

A: Step 1: Step 2: