2. Evaluate the limit of each of the following: x²-4 a. lim x→2 3 X x²+12x+32 b. lim x→4 x+4

Q: If f(x)=(1/(x5−6x+7)^5), What is f′(x)?

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

Q: Pls help ASAP. Pls show all work and steps. Pls circle the final answer.

A: Step 1: The equation of the line is given by, 3x−7​=−9y+4​=6z+1​.Now this can be written as…

Q: solve it please, also the anwser is not $22.97 dollars per day.

A:

Q: a) Where is g(x)>0?      b) Where is g(x)<0? c) Where is g(x)=0? d) Where is g′(x)>0? e)…

A: a)  where g(x)> 0  This means we are looking for where the function is above the x-axis.From the…

Q: Let h be a differentiable function defined on the interval [0, 3], and assume that h(0) = 1, h(1) =…

A: Let h(x) be a differentiable function defined on the interval [0,3][0, 3][0,3], with the following…

Q: solve it

A: 1. For which values of x is f(x) continuous? f(x) is continuous for x in the interval (-1, ∞) 2.…

Q: and '(x) = -2x² + 3. If g is the inverse of k, which of the following is equal to g'(- 32 Let k be a…

A: Step 1: Step 2: Step 3: Step 4:

Q: solve them please

A: Step 1: Express a formula for the debt per capita:We can differentiate the expression for debt per…

Q: Hi i need help with the problem that is in the attached image.  Thank you so much

A: Step 1:Step 2: Step 3: Step 4:

Q: 8. Prove that the union of two domains is a domain if and only if they have at least one point in…

A: Here is the link for the MS Word and PDF file. Please copy the link and paste it in your…

Q: 4. Assume the graph is the graph of f. Where do the points of inflection of ƒ occur, and which…

A: Problem 4If the given graph is of the function f(x), the graph is concave down over the interval…

Q: please help thank you a lot

A:

Q: Please show all steps

A: Question:  find the closest point.......

Q: solve it and give the right answer

A: Step 1:Problem 1: Points of Inflection and Concavity from the Derivative GraphThe graph given in the…

Q: solve it

A: Consider the provided function.f(x)=x12h(x)Consider the additional information as, h(−1)=2 and…

Q: Kalisa is the owner and manager og auto repair company in order tbe fair to all cutomer  he decide…

A: Here's a detailed explanation for better understanding. Here's the calculations step by step in a…

Q: = n P(h) = П e¯|h−yi|¸ i=1

A: Step 1:To determine the value of h* that maximizes P(h), let's approach this step-by-step:First,…

Q: Q18

A:

Q: Let ƒ : R → R be a continuous function satisfying ƒ(0) = 1. Show that there is a € > 0 such that…

A: 1. Given:The function f is continuous at x = 0.f(0) = 1.We need to show that there exists an ε >…

Q: H.W/ Given A = ax + 2 ay - 3 az, B = - -4 ay + az and C = 5ax - 2 az Find 1- A × B 2-αA 3-| A- B 4-…

A:

Q: Please help me with this question. I am not understanding what to do. Thank you. I believe the…

A: • Sequence will be converget if the value of the limit is a finite number. So, sequence converges…

Q: Use dy/dx = - Fx/Fy to find partial z/partial x and partial z/ partial y x2 + 4y2 +3z2 = 1

A: To find the partial derivatives ∂x∂z​ and ∂y∂z​​ from the equation x2+4y2+3z2=1 using the…

Q: Can you help me derive the partial derivative with respect to x, y, and z of f(x) =…

A: Step 1:

Q: Calculate f′(3) to 3 significant figures where f(t)=(2t^2+1t−4)^−8

A: We are tasked with calculating f′(3)  for the function:f(t)=(2t2+t−4)−8 1: Differentiate the…

Q: Given the following hypothesis test for tire life having a normal population distribution: H : u =…

A: Step 1: Step 2: Step 3: Step 4:

Q: y-values 8 7 6 5 4 3 2 1 g(x) 5+ 4 h(x) y-values 2 Ι 3 1 2 3 4 5 1 2 3 4 5 x-values x-values a If…

A: Given:Two functions, g(x) and h(x), represented by graphs.The composite function f(x)=g(h(x)).We are…

Q: Given the following linear regression line (assume σ = 0.025): y = 0.095 x -0.12 Follow the steps…

A: Step 1Step 2Step 3 :3. Compute the probability that the observed value of flow rate will exceed…

Q:

A: //The answer above is a possible detailed explanation of the question mentioned and based…

Q: Refer to attached images

A: Given:f′(x)=x(k−x)1​a) We need to find  a  and  b such that:x(k−x)1​=xa​+k−xb​To do this, we combine…

Q: Type here to search 4. Submit answer Practice similar Consider the integral 7 4 [² + (2x2 +3x+5) dx…

A: Ans right endpoints:Ans left endpoints:

Q: Let f(x)=-4+ (2x-15)(3√x-x+5)5/3 (a) Find the derivative of f. (b) Using the derivative and linear…

A: a.) Differentiate…

Q: Graph the polynomial function. -x³-3x² f(x) = -x Use the graphing tool to graph the function. Click…

A: Step 1:Givenf(x)=−x3−3x2We can write above expression asf(x)=−x2(x+3)So zeros of the function arex=0…

Q: please help thank you

A: Step 1:Step 2:Step 3:

Q: Use the definition of partial derivatives to find the equation of the line in space, tangent to the…

A: SolutionStep 1: Find the intersection curveSetting x = 0 in f(x, y), we get:f(0, y) = sqrt(1 - 0*y)…

Q: 2. [0/2.5 Points] DETAILS MY NOTES SCALC9M 3.7.008. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE…

A: Given that the area of the rectangle is constant and equal to 2,197 m², we can express y in terms of…

Q: 1 8. Approximate³ dx using Simpson's Rule with n = 8. Although you will use a calculator to…

A: 1. Verification of the formula:Simpson's Rule for n = 8 subdivisions is correct:∫ₐᵇ f(x)dx ≈…

Q: Hello! Can you please help me with this Calculus problem? Thank you All the information given is…

A:

Q: help please

A: Step 1:The given series 3+23​+1+43​+53​+....Determine the sum of the first term, i.e. S1​⟹S1​=3 Step…

Q: Let f (x)= = x + 8 Find f'(x). First set up the limits and simplify the first one. Using equation…

A:

Q: It is known that function f is an increasing function that satisfies f(0) = 2 and f'(0) = -2. Use…

A: To compute the derivative of the inverse function f−1f^{-1}f−1 at 222, we use the information given…

Q: Please solve this and show all the steps.

A: The given function is f(x)=x2.

Q: In Exercises 33-38, find the value of (fog)' at the given value of x. 33. f(u) = u³ + 1, u = g(x) =…

A:

Q: please help thank you a lot

A: Step 1: Step 2:

Q: Upload Choose a File D Question 4 equal to 1. Find the coordinates of a point on a circle with…

A: We find the coordinates of a point on a circle given the radius and an angle by using the parametric…

Q: Hi, i need help with this problem, thank you !  The problem is:  Suppose that f(4)=3, g(4)=5,…

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

Q: Hi, I know to put the derivative equal to zero but am need help solving from there.

A:

Q: Solve all parts show work pls

A:

Q: sketching the following subset of C

A: The set  B = {x ∈ ℂ : |exp(z)| < 1}  can be analyzed as follows.  Step-by-Step Breakdown:1.…

Q: I roll a fair six-sided die until I get at least one 5 andat least one 6. Calculate the average…

A: Define the StatesWe define the different states based on the outcomes of rolling the die:•  State 0:…

Q: Find f′(x)for f(x)=3x^11

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