Tangent Vector, Tangent Line, and Angle between 2 curves The curves f(x) = x² - 4x + 4 and g(x) = x + 10 intersect at the point (-1,9). Find the acute angle of intersection in degrees. 0

Q: What u-substitution should be made in order to evaluate the following integral? I (3x² + 10) da u =…

A:

Q: I need help with this problem and an explanation for the solution described below (Vectors in the…

A: To find the sum of two vectors, we simply add their corresponding components. In this case, we…

Q: Use synthetic division and the Remainder Theorem to find each function value. Check your answer by…

A: Synthetic Division and Remainder Theorem:Synthetic division is a streamlined method for polynomial…

Q: x + 4, x≤-4 Sketch the graph of the piecewise function. f(x) = 2x + 3, -4<x<1 -6 ་ 6+ 2+ -2 -2- -6.…

A:

Q: ¸¸ S'√ 16–16 x² d x = · (a) 16 π (b) π square unit. ©2π (d) 4π

A:

Q: From the picture i added, can you evaluate lim f(x) x --&gt; 1 , thank you.

A:

Q: Evaluate the following trignometric limits.

A: 8. To evaluate the limit: lim⁡t→π (2sin⁡2(t)) / (1+cos⁡(t)) we start by substituting t=π into the…

Q: i need answer typing clear urjent no chatgpt used i will give 5 upvotes

A: Step 1: The provided inequation is:x2+3x+2x​+x2−x−2x−1​≥(x2−4)(x+1)−2x−1​   .........(1)It is needed…

Q: Find the max, min and intervals of inc/dec of the following function: f(x)=ex/(3x) a. Identify what…

A: To analyze the function f(x)=ex/3x​, we need to find its maximum and minimum points and determine…

Q: 1. Express in terms of i,j, and K, given that V is equivalent to the directed line segment PQ, where…

A: 1.2.3.4.

Q: Please don't provide handwritten solution...

A: The function given is f(t)=5+4t. This is a linear function where t is the variable, 4 is the…

Q: can i get a step by step

A: 0To express f(x)=x2−2x−153x+1​ in the form x+aA​+x+bB​, we need to perform partial fraction…

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 5 if g(5) = -3 and g'(5) 4.…

A: To find the equation of the tangent line to the graph of y=g(x) at , we use the point-slope form of…

Q: calcular la integral de linea escalar de la funcion

A: Step 1:Step 2: Step 3: Step 4:

Q: Find the periodic payment which will amount to a sum of $12000 if an interest rate 5% is compounded…

A: To find the periodic payment required to amount to a sum of $12,000 with an interest rate of 5%…

Q: Find the limits as x →co and as x→ co. (If the limit is infinite, enter 'co' or '-co', as…

A: Step 1:Step 2: Step 3: Step 4:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x)-(1) = f'(x) = 15 dt…

A:

Q: For the curve defined by (t) = 5 cos(t)+5 sin(t)] + 4tk evaluate 8 = = √ || ³ (u)|| du to find the…

A:

Q: f e d c) If C b a = 8, find d e a b c 14 c+2i b+2h a+2g elementary row operations. gh by using…

A:

Q: The initial tableau of a linear programming problem is given. Use the simplex method to solve the…

A: Detailed explanation:1)Identifing the basic variables from the table, that is s1, s2, s3 because…

Q: Pls help W this, full explained solution to understand bettr. Thnks!

A:

Q: Evaluate r(u, v) F.ds, where F= and S is the helicoid with vector equation =, 0<u<3, 0<v≤2π with…

A: First, let's define the given parameters:The vector field F is given by F = y, -x, 25.The surface S…

Q: Can you please find a function, f, so that H = f o g o h where: (I added a picture) f(x)=

A: Step 1: Step 2: Step 3: Step 4:

Q: Can you find the domain of this function, if you can write me an answer using interval notation…

A: To get the domain, we need to get the denominator of the function, which is x2-9. We need to solve…

Q: If f(x)=7x^2+1, evaluate the following

A: Given the function,f(x)=7x2+1 Let us evaluate the limit expression,h→0lim​hf(4+h)−f(4)​ Let us…

Q: Can you write me an equation that expresses the fact that a function f is continuous at number 3. I…

A: In calculus, a function is said to be continuous at a particular point if the limit of the function…

Q: can you find the limit, and if it doesn't exist can you put DNE

A:

Q: Find the Maximum and minimum of the following function: f(x) = sin(4x) on [0, π/2] a. identify what…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the Max and minimum of the following function: f(x) =sin(4x)on[0, π/2] a. identify what test…

A: To find the maximum and minimum values of the function f(x)=sin(4x) on the interval [0,2π​], we will…

Q: Question 4: Use dual simplex method to solve the following linear programming problem: Maximize Z=…

A:

Q: Find each of the following values given that f(x) = a. (f+g)(-1) c. (f⚫g)(2) 1 and g(x)=3x+4. x+2 b.…

A: (a) To find (f + g)(-1), you need to first find the functions f(-1) and g(-1), then add them…

Q: please answer, thank you! i will give thumbs up!!

A:

Q: 24e4 (2e4 + 4)ªdx Integrate: 24

A: Step 1:Step 2: Step 3: Step 4:

Q: f(x, y) = 5e cosy, (a,b) = (0, 1), П and v = (2, 3). a. Calculate the directional derivative of f at…

A: Step 1:Step 2: Step 3: Step 4:

Q: The functions f and g are given. Evaluate fog and find the domain of the composite function fog.…

A: Step 1:Domain in terms of interval :  Step 2: Step 3: Step 4:

Q: Pivot once as indicated in the given simplex tableau. Read the solution from the result. Pivot…

A: Pivot Operation:The initial simplex tableau indicates that x_3 is a candidate for entering the…

Q: Find the max, min and intervals of inc/dec of the following function: f(x)=ex/(3x) a. Identify what…

A: Detailed explanation:

Q: Please don't provide  handwritten solution...

A:

Q: Can you find me the Domain and also the range of this function? If you can also give me the answer…

A:

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: √x(t) = −3t² ly(t)…

A: Step 1:given that y=-8+trewrite t in term of  yt=y+8 Step 2:we also have x=−3t2replace value of t…

Q: Approximate fex dx, by finding a power series for the integrand, find the first three terms of the…

A: Given   I=∫00.1​e−x2dx  Find the first three terms of the power series for the integrand…

Q: Given the vector-valued functions u(t) =ee (t) 5ti+4t2 – k = d + – tk find (u(t) (t)) when t = 1. dt

A: Approach to solving the question:To solve this problem, we need to follow these steps:Find the…

Q: Score: 24/28 24/28 answered Question 26 7 csc² 0 Evaluate the integral de 9 4 cot 7 csc² 0 de 4 cot…

A: Step 1:

Q: I need help on question 1?

A: First, we need to calculate the partial derivatives of the function with respect to x and y. The…

Q: Question 2: Using the Big M method solve the following LPP: Minimize Z=3x₁₂+2x² + X3, subject to…

A:

Q: DATE: NO. 1. Find the equation of the plane through the line X+= 9-1 2-2 3 2 4 which is…

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

Q: Calcule las integrales de línea vectorial

A: Para calcular la integral de línea del campo vectorial F = x²yi + (x - z)j + xyzk a lo largo de la…

Q: 1. Given u taj - 4k, v = 3; - 7jt sk, find uty in terms of i,j, and K. Sketch a figure. 2. Given…

A: Step 1: Step 2:

Q: The simplified expression I have is wrong but the answer is right. I need help with the simplified…

A: Step 1:f(x)=x+4​To find the derivative of f(x)=x+4​ at x=3, using the definition of the derivative,…

Q: I need help with this problem and an explanation for the solution described below (Dot Products,…

A: The dot product of two vectors u and v is calculated as follows:u·v=ux·vx+uy·vy+uz·vzGiven vectors u…