I must calculate the average of change of the function x=1 to ×=2 for f(x)=(16/((x-4))^2)+5

Q: Use technology to find f'(2), f'(15), f'(-3) for the given function when the derivative exists. f(x)…

A: Step 1:   Step 2: Step 3: Step 4:

Q: (a) Find the exact value of each x ∈ [0, 2π) for which sin(2x) = √ (3 cos(x)). (b) Determine the…

A:

Q: 100% sure experts solve it correct complete solutions need okk

A:

Q: If 3x 3≤ f(x) ≤ x² - 3x + 6 for x≥ 0, find lim f(x). - x 3 Need Help? Read It Watch It Submit Answer

A: Given:3x−3≤f(x)≤x2−3x+6 for x≥0 To solve for the limit as x approaches 3, we can use the squeeze…

Q: Only good experiences experts do it okk

A: The vertex of a parabola is the point where the parabola intersects its axis of symmetryIn the given…

Q: Find the most general antiderivative. 5 dx √1-x2 X ○ 5 sin-1 x-In |x| +C 5 sin 1 x + 3 In |x| +C…

A: We are tasked with finding the most general antiderivative of the following…

Q: 29. Find all functions M such that the equation is exact. a. M(x, y) dx + (x² - y²) dy = 0 b. M(x,…

A:

Q: Cal 4 HW2 Q13

A:

Q: Write each summation as a series. 10 5 Σα- 2 + 1) i=2 Answer: CLEAR ALL 5 Σ(2²-2 + 1) = i = 2 ☐ + ☐…

A:

Q: The total number of times you swipe a credit or debit card in a year (if you do not use a credit or…

A: In this problem, we are given that the number of times a credit or debit card is swiped in a day is…

Q: This is one of the problems from the review packet I recieved in means of studying for my first unit…

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

Q: please help thank you

A: To compute the given limit:limx→−∞​(x2−2x​−x2+3x​)we can simplify it step by step:Step 1: Factor out…

Q: Question 2 Suppose that f(x) is a function such that f(0) = 0.491 and ƒ'(0) = 0.537, x = (3ƒ(x) + 2…

A: Thus, the correct answer is: 0.836

Q: Question 1 Suppose that r(s) is an arclength parametrized curve such that, at s = 1,7 = 2.9270, T =…

A: Approach to solving the question:Let's break down the problem step by…

Q: 4. Using the expression for the velocity profile through two parallel plates distanced by 2d др…

A: SOLUTION:

Q: please help find the limits thank you

A: To solve the limit problems involving the function f(f(x)), we need to evaluate the function f(x)…

Q: Use a graph to estimate the limit limθ→0 sin(7θ)/θ All angles will be in radians in this class…

A: Step 1:Concept - We have to find the value of given function as the θ approaches to zero in graph.…

Q: Only one option is true

A: Step 1:Step 2: Step 3: Step 4:

Q: Rational functions okk 100% sure experts solve it correct complete solutions need okk

A: Step 1: Identify the Vertical AsymptotesFrom the graph, vertical asymptotes appear at x=-3 and x=4.…

Q: The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are…

A: a. In the graph, we can see that the function does not intersect the x-axis and intersects with…

Q: Please help me with the procedure, I'm not sure what to do.

A: The problem is asking us to find the composite function f(g(x)). In other words, we need to…

Q: Hello,   I need help I have no clue how to do 2.5 Trig derivatives my teacher went over the topic…

A: Before we start, it's important to understand the basic rules of differentiation. The derivative of…

Q: find dy/dx

A: Step 1: Given x(t)=t3, y(t)=t2+t. We have to find dy/dx. Step 2: The given two functions are…

Q: The bottom half of the circle x2+y2=9

A: The given equation is x2 + y2 = 9. This is the equation of a circle centered at the origin (0,0)…

Q: Evaluate the integral. dx S (4x+715 1 + C 24(4x+7)6 4 + C 4(4x+7)4 1 16(4x+7)4 4 + C 4(4x+7)5 +C

A: We evaluate the integral∫(4x+7)51​dx by using a substitution method. Step 1: SubstitutionLet u = 4x…

Q: limit as x approaches negative infinity (√(x^2-2x) - √(x^2+3x))

A:

Q: Only one answer can be true

A:

Q: Evaluate the integral. X- SX=1 dx x+9 Ox+ 10 Inlx-1] + C 01x+1 x+ 10 Inlx+91 + C Ox-10 Inlx-9 + C…

A:

Q: Evaluating Limits: Infinite Limits Evaluate the following limit by analyzing the behavior of the…

A: limx→−31​−​(12x+4)25​=>limx→−31​−​144x2+96x+165​         [Expanding denominator]=>…

Q: 1

A: Let us address the questions based on the graph provided. a) limx→1+​f(x)From the graph, as x…

Q: For each limit, verify that the function is continuous on its domain, then use direct substitution…

A: To solve the limits, we will first check the continuity of the functions at the given points, and…

Q: Explain in full detial, the idea of  Bernoulli's Equation, and clear handwrititng

A:

Q: Determine if the equation is exact and solve.

A:

Q: Help me with the product rule, Differentiate each function with respect to x.

A: There are two different ways in which we can use product rule of differentiation.We will see both…

Q: f(x, y) = xy³. Does there exist a point or multiple points (x, y) = (a, b) where the following…

A: Step 1:Step 2:

Q: Evaluate the integral. S4 cos³ 3x dx O sin 3x-sin³ 3x + C sin 3x + sin ³ 3x + C +sin³ Osin 3x-cos³…

A:

Q: Indeterminate Limit Problem

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

Q: Discussions > Week 6 Discussion You must post before seeing replies. Edit history will be available…

A: Trigonometric formulas or identities are mathematical equations that relate the angles and lengths…

Q: Use the given graph of f(x) = √√x to find a number 8 such that if |× - 4| < 8 then y x2 < 0.4. 6 =…

A: ANSWER :​​

Q: Use the substitution formula to evaluate the integral. 1 dx 01 √√9-x² 1½ sin-1 1/ 3 cos-1 1/3 O…

A:

Q: Solve show work pls

A:

Q: The graph of a function f is shown. y 800 400 x 0 20 40 60 (a) Find the average rate of change of f…

A: a. First find f(50) and f(60).f(50)= 400f(60) = 700Now use the AROC…

Q: This is omne of the problems on a practice review packet for my first unit exam. Please help!

A: Step 1:Step 2: Step 3: Step 4:

Q: Use the given graph of f to find a number ♂ such that if |x − 1] < ♂ then |f(x) − 1] < 0.2. - δ =…

A:

Q: 4. Solve the Riccati equation y' = x² + 1½y + 14y² given y = x³ is a solution.

A: Step 1: Step 2: Step 3: Step 4:

Q: Correct complete solutions it both okk

A: In calculus, the derivative measures how a function changes as its input changes. It's a fundamental…

Q: 1) The function f(x) = = { 2-1 In(x), x> 0; x 1 a, x = 1 is defined for all positive real numbers x.…

A:

Q: Find the most general antiderivative. S √1-x2 dx 8 sin 1 x - 5 In |x| +C sin-1 x in Ix 8 5 + C O 8…

A: Step 1:As we know that Integration of  1/√(1-x2)=sin-1(x)And integration of 1/x=ln(x) Step 2:As…

Q: Question 1 1 pts Calculate the curvature and torsion 7 at time t = 1 of a curve r(t) where v(1) =…

A: ### Full Solution to the Problem To solve this, we need to compute the curvature \( \kappa \) and…

Q: 3) Given that Le e-2 dx = √√, what is the value of x²e-x² dx?

A: