Let 1 f(x) = x³√√x + x√√x Using the basic Derivative Rules, f'(x) is found to be: 52 X 2 7 6 X 1 1 6 13 36 X 76 5|2 x 2 - - 7272 x2 x 13 6 7 7 13 ·x 2 + X 6 2 6 None of the above

Q: Car on a Curved Road: A vehicle travels along a curved road where the horizontal and vertical A2…

A: A2:Given,x(t)=at2 and y(t)=bt2The coordinates of car position after 10 seconds can be found by…

Q: Consider following function f(x) = ln(x2 - 16) for x > 4Attached figure shows a part of graph of…

A: f(x)=ln(x^2−16) for x>4. The graph cuts the x-axis at a point A(a,0) and has a tangent line L at…

Q: 1) Solve for x: log(x) + log(x + 4) = 2 2) A sector of a circle has a central angle of 45°. Find the…

A: 1. log(x)+log(x+4)=2Addition Property: loga+logb=logablog[x(x+4)]=2log(x2+4x)=2Convert to an…

Q: d) 28 28 Solve for x: - log(x) + log(x+4)=2 Upload Choose a File D Question 2 3 pts A sector of a…

A: Question 1Solve for x:log(x) + log(x + 4) = 2 We use the logarithmic property log(a) + log(b) =…

Q: 1- Prove that 1 = ½ ? at 2-Prove that t=. 3- Prove that th= 1 S-a ? n! 54+1 ? 4- Prove that sinbt =…

A: Answer - Explanation -

Q: solve the two

A: 1.Remember:f">0 where f is concave upf"<0 where f is concave downf"=0 where f has a possible…

Q: Hi, I am having trouble with this problem and I need help. Thank you.  The problem is: A particle…

A: The position of the particle is given by:s=f(t)=t3−9t2+24t The velocity of the particle, v(t), is…

Q: Standardized lest Lou! d 70. True or False (sin x) = cos x, if x is measured in degrees dx or…

A: In trigonometry, sine and cosine are two fundamental functions. They are related, but they are not…

Q: Instruction: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 1. Solution must…

A:

Q: 1 √x(x² + 4x + 5) dx

A: To solve this integral, we can use the method of partial fraction decomposition. Let's go through…

Q: b) Ving after July). (2) c) what kind of time will: lation (5) 5) A bank advertises that it…

A: Because the bank employs continuous compounding, your money will increase steadily over time. We…

Q: 3. Use the definition of the derivative f'(a) = lim 04-4 h to compute f'(3) for the following…

A: Let's start with function (a) f(x) = (x-3)^2 + 2. We will use the definition of the derivative to…

Q: 1) If a is a positive constant, what is the maximum value of the function In(z) f(x) = -?

A:

Q: Find the upper and lower bound for ²²dA where R = {(x,y)| -1<<4,-1<y≤2} √ √ R Double Integral Plot…

A: Step-by-Step Solution:1. Define the FunctionWe are given f(x,y)=x2y2 , which is non-negative, so…

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: 6) A certain radioactive element has a decay rate of 7 % per day, that is it satisfies the equation:…

A: Given: A0​=800g;t=0day;dtdA​=−0.07AStep 1: Write the derivative equation so that it can be…

Q: 2 f'(x) = x² cos(x² + 2x) Ь How can I tell what values of x have a point of inflection in the…

A: Step 1:The given expression is:f′′(x)=x2cos(6x2+2x​) Step 2:Recall that a point of inflection occurs…

Q: Approximate x4. dx using Simpson's Rule with n = 8. Although you will use a calculator to calculate…

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

Q: Question 1 1 pts The function z = 2x²y+2xy² +x² + 2x has exactly two critical points. If the…

A: Step 1: Step 2: Step 3: Step 4:

Q: Help explain step by step

A:

Q: Find the surface area of the portion of the hemisphere z = (25 - x2 - y2)1/2 that lies above the…

A: To find the surface area of the portion of the hemisphere z=25−x2−y2​ that lies above the region R…

Q: Find the following using the table below. X 1 2 3 4 f(x) 2 1 3 4 f'(x) 1 4 2 3 g(x) 2 1 4 3 g'(x) 2…

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

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

A: We are given two functions, f(u) and g(x), and we are asked to find the derivative of the composite…

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: solve it

A:

Q: If f(x)=8 sin(x) +11 cos(x), what is f'(x) and f'(pi/4)?

A: Step 1: Step 2: Step 3: Step 4:

Q: I need to solve this question

A: Step 1:C3: The path of the drone is given byx(t)=vx​t,y(t)=vy​t−0.5at2The position of the drone…

Q: Compute the derivative, f'(²), for ƒ(z) = (7 (1+2i)z (2-i)z²+9i 3

A:

Q: Hi i need help with Derivatives of Hyperbolic functions.  How do I differentiate and simplify y =…

A: Step 1: Step 2: Step 3: Step 4:

Q: ما ning Resources ils Sketch the region enclosed by the curves x-6= 2y and x-16=(y-5)², and compute…

A: See the attachments below.

Q: The graphs of the functions f and g are shown in the figure. y 4 3. 'f 2 g 1 -1 1 2 3 4 Let u(x) =…

A: Solution: The function value f(1)=2 and g(1)=1 is obtained by the observation of the graph. The…

Q: x+1 The function f is defined by f(x)= 1 Simplify lim f(x) using limit theorems. 1 x-0 X lim (x+1) X…

A: The function f(x) = (x+1)/(x-1) can be simplified using limit theorems to the following…

Q: part d

A:

Q: 2 Suppose that f(x, y, z) = 4x+5y + 2z at which x² + y² + z ² ≤ 3 ². 1. Absolute minimum of f(x, y,…

A:

Q: If g(x)= x² 2 -2x, then g'(x) is equal to which of the following? Og'(x) = x²-2 Og'(x)=x-2 ○ g'(x) =…

A:

Q: = 0.) Express the function as the sum of a power series by first using partial fractions. (Give your…

A: Step 1: Step 2: Step 3: Step 4:

Q: 0 The matrices are 2 A = 0 4 = (22), B = ( 10 ), C = 0 - ( 1 ) -2 0 0 2 Compute the following…

A:

Q: Help sketching this

A: From the image, I can see a function graphing problem. Let me help solve it step by step.The problem…

Q: .Gridlines True FullRowSelect True .View 1vwReport إضافة عناوين البيانات H .ColumnHeaders.Add…

A: A detailed step-by-step explanation along with the overall purpose of this code. GIST:This is code…

Q: Solve and show formulas

A: Centroid of the region bounded by the curve y=4−x2 and the x-axis. The formula for the coordinates…

Q: No Chatgpt please

A:

Q: Solve for these, it is a .001 not a 0.01

A:

Q: Find the eigenvalues and eigenvectors of two following matrices

A: What are Eigenvalues and Eigenvectors?For a given square matrix A, an eigenvector v is a non-zero…

Q: 16x g(x) {0 ≤ x ≤ x} 4x + 1 (a) Use calculus to find the maximum value of the func- tion f(x): g(x)…

A: Both f(x) and g(x) is defined for x ≥ 0

Q: Consider this function y = f(x) on the domain (-∞, ∞). f(x): = :{ 8 x sin()+ 38 if x = 0 38 X if x =…

A: To solve part (a) of the problem, we need to differentiate the given function f(x) with respect to…

Q: Find all first and second order partial derivatives of the given function. f(x,y) =xcos(y) sin(x)…

A: Step 1: Step 2: Step 3: Step 4:

Q: Consider an object moving in the plane whose location at time t seconds is given by the parametric…

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

Q: Sketch the region enclosed by the curves y = 2 sin(x), y = 2 csc²(x), x = and x = 3, and compute its…

A: Step 1:The graph of two function is given belowStep 2:Obviously2csc2x≥2sinxfor all x∈[4π​,43π​]So…

Q: Differentiate the function. v = (√x+· v' = Enhanced Feedback 1 2 3

A: Step 1: Given function v=(x​+3x​1​)2. We have to find v'. (differentiation of the function v) Step…

Q: 6

A: Step 1:To find the values of a and d for the function f(x) = a cos(x) + d, let's analyze the given…