√3/2 1 √1-x2 arcsinx 1/2 dx = 2

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A: Explanation:The operator in the logarithm (∣⋅∣) denotes the absolute operator which signifies taking…

Q: For the following function f and real number a, a. find the slope of the tangent line mtan = f' (a),…

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A: Step 1: Step 2:

Q: Here is a region R in Quadrant I. y 2.0 T 1.5 1.0 0.5 0.0 + 55 0.0 0.5 1.0 1.5 2.0 X It is bounded…

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Q: Write a formula for the function g that results when the graph of the function f(x) = = 4 X is…

A: If you have any questions let me know in the comment box immediately.

Q: Calculate the max value of the directional derivate

A: Given : ​​Step : 1 ​​Step : 2 ​​Step : 3 ​​       Your question's image has "√" symbol to left, so I…

Q: 10 pls

A: Here is the step-by-step explanation:We will solve each problem step by step, using the relationship…

Q: Showing all working and using row operations determine all solutions to the follow- ing system of…

A: Given System:Step 1: Write the Augmented MatrixStep 2: Perform Row OperationsRow Operation 1: Swap…

Q: Consider the sequence below: 1 1 1 (a) Express this sequence as a recurrence relation (b) Express…

A: Step 1:Step 2:Step 3:

Q: help on this integral below?

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Q: Both in images okk. Instructions.   "I have written solutions in text form, but I need experts to…

A: I hope this may be helpful to you 🙏 If you have any query then ask me in comment box.Thanks

Q: Tangent planes Find an equation of the plane tangent to the following surfaces at the given points…

A: Step 1:Step 2: Step 3: Step 4:

Q: Calculus lll  May I please have the solution for the following question? Thank you

A: The dot product formula using magnitudes and the angle between vectors is:u ⋅ v = ∣∣u∣∣ ⋅ ∣∣v∣∣ ⋅…

Q: please show all the work

A: Part (a): Calculate the derivative of g(x) = ln(x2+ 4x + 7) We can use the chain rule to find the…

Q: Use the information in the following table to find h' (a) at the given value for a. x|f(x) g(x)…

A: Step 1: Understanding the ProblemWe're given:A table of values for functions f(x), g(x), and their…

Q: (10 points) Let f(x, y, z) = ze²²+y². Let E = {(x, y, z) | x² + y² ≤ 4,2 ≤ z < 3}. Calculate the…

A: Step 1:Step 2:

Q: Use the two methods "real number solution space basis" and "complex solution space basis"…

A: Method 1: Real Number Solution Space Basis Step 1: Solve the Characteristic EquationThe…

Q: A population of deer in Pierce County currently has 1875 deer, but due to urban development, the…

A: List given:Initial population, P0 = 1875Decay rate = 1.1% per year = 0.011 per yearPopulation after…

Q: Question 3 Rewrite 4 = log₂(16) in exponential form. Question 4 症 If log, (6x+3)= 4, then r

A: Step 1: Step 2: Step 3: Step 4:

Q: Solve the following heat equation by method of separation variables: ди = at subject to u(0,t) =0,…

A:

Q: 3.10 (A/B). A beam ABCDE is simply supported at A and D. It carries the following loading: a…

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Q: Find the maximum and minimum values of the function f(x, y) = e² subject to ï³ + y³ = 128 Please…

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Q: (c) sphere S10 (0) of radius 10 centred at 0. [5 Marks] 2. Let C([a, b]) be the metric space of…

A: To solve the given problem, we need to find the maximum difference between the functions f(x)=1−x2…

Q: determine the final and initial value of the expression below: Help

A: Step 1:

Q: Evaluate the following integrals, showing all your working

A: Step 1:Step 2: Step 3: Step 4:

Q: Please draw a detailed graph

A: Step 1:  Step 2: Step 3: Step 4:

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

A:

Q: The parametric equations of the function are given as x = 3cos 0 - sin³0 and y = 3sin 0 - cos³0. dy…

A: If you have any questions let me know in the comment box immediately thankyou.

Q: The evolution of a population of Hippos, R(t), in hundreds, time in years, in an African National…

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Q: 2 Graph of h 6. The graph of the function h is given in the xy-plane. Which of the following…

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Q: y'''-3y''+4y=e^2x Find particular solution

A: Please feel free to comment if you have any questions

Q: f(x) = = x - 3 x²-9 f(x) = {x + 1 x > 3 4 x < 3 -10 5 10 5 5. 10 5- 07. 10 -10 -5 0 10 5 -101 :: The…

A: Function 1: f(x) = (x - 3) / (x² - 9)Simplification: f(x) = (x - 3) / [(x - 3)(x + 3)] = 1 / (x + 3)…

Q: 20. Find the general solution to the differential equation y(4) − 8y′′ + 16y = 0A. y = c1e^2x +…

A: To find the general solution of the differential equation y^(4) - 8y'' + 16y = 0, we'll follow these…

Q: Please focus on vi.

A: Problem vi: Find det(AB⁻¹) Given:Matrix A = [3 5 4; 0 -2 3; 0 0 6]Matrix B = [2 9 4; 0 3 3; 0 0…

Q: 2. Consider the following: Prove that x, x2, and 1/x are the solutions to the homogeneous equation…

A: We are given the differential equation:x3y′′′+x2y′′+2xy′+2y=2x4 (a) Verifying that x, x2 and 1/x are…

Q: practice for test please help!

A:

Q: 3 2 Find: ƒ(1) lim f(x) 14-x 2 ƒ(2) lim f(x) x-2- lim f(x) x+2+ lim f(x) x→4 3 y=f(x)

A:

Q: i need help please hand written

A: Solve this question step by step with full calculations.

Q: Do the Laplace Transformation and give the answer in Partial Fractions. Also do the Inverted Laplace…

A: We will solve the given differential equation using the **Laplace Transform** method and find the…

Q: Find area of the sector

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the indefinite integral. Check Answer: 7x 4 + 1x dx

A: The indefinite integral,∫4+x7x​dx  Step 1: Simplify the Integrand express numerator in terms of the…

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Q: 48. f(x) = { 4 x if x < 2 2x 2 if x 2

A: Step 1:    Step 2: Step 3: Step 4:

Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). √4(1–2²…

A: Understanding the ProblemThe goal of the problem is to evaluate a double integral over a specific…

Q: use Lagrange multipliers to solve

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Q: Assignment #1 Q1: Test the following series for convergence. Specify the test you use: 1 n+5 (-1)n…

A: (a)  ∑n=0∞​n2+1​(−1)n​  Step 1: Check Alternating Series Test (Leibniz Test)  For the Alternating…

Q: Let w(x, y, z) = x² + y² + z² where x = sin(-3), y = cos(−8t), z = e5t. Calculate dw dt dx dy dz by…

A:

Q: Find the differential of the function f(x, y) = 2x² - 2xy – 5y² at the point (-6, -5) using Ax = 0.3…

A: Given​​ STEP 1 ​​.STEP 2 ​​STEP 3 ​​Compare dz and Δz:We got :dz=−1.1,Δz=−0.9625 Since dz is an…

Q: eliminate the parameter to find the cartesian equation of the curve and sketch the graph. On the…

A: Explanation:

Q: 4. Suppose that the population of a certain collection of rare Brazilian ants is given by…

A: On the third day (𝑡 = 3), the population change rate P′(3) is roughly 22.21. On the third day, the…