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Q: Current Attempt in Progress Find the exact arc length of the curve .x = 1 = = √ ( ₁² + 2) ²/² ₁ +…

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Q: 1. Find the derivatives of the following function (a) y=4²+2√² (b) y=++ 2x+3

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Q: y = 2-ex 3x-1

A: We know that differential power rule is given as - d(xn)/dx = nxn-1.   Here i attached the solution…

Q: 3. What is the FIRST derivative of the given function? y = 3x³ - 2x² + x - √√2

A: Given,            y=3x3-2x2+x-2To find : What is the first derivative of the given function.

Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 7A…

A: Area of the Rectangle =(Length)(width). Perimeter of the Rectangle=2(length+width).

Q: 1. A circle with radius 2 is centered at the origin (0,0). For an angle (measured counter- clockwise…

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Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t= 0. [Choose the correct answer.]…

A: A detailed solution is given below.

Q: A cat darts around a room chasing a ball. The cat first travels along the vector (-1,2) and then…

A: Given ,  A cat darts around a room chasing a ball. the cat first travels along the vector < -1, 2…

Q: Given the function f(x) = -1+52², calculate the following values: f(a) = f(a+h) f(a+h)-f(a) h =

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Q: 11. Given the function below, what is its derivative? * f(x) = 2x - √x f'(x) = 2x C f'(x) = 2 - a 1…

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Q: 91_در lim 2-3 z²+4z-21 LIMIT VALUE: lim 2--1 LIMIT VALUE: lim (x³ +7x² - 2x + 4) 2-2 LIMIT VALUE:…

A: Solved below

Q: 7. Determine each of the following for the function, f(x, y) = 7x³y² - 2x + 3y. Show all ^~^ints.…

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Q: Select all of the following tables which represent y as a function of and are one-to-one. I 5 8 8 Y…

A: Given query is to find which function is one to one.

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions: a = 30,…

A: I am attaching image so that you understand each and every step.

Q: Determine if y=5 cos x and x=31²-5t+3 dx

A: Given,             y=5cosx , x=3t2-5t+3To find : Determine dydt

Q: Circles, arc length, and Area of sector. (a) Draw a circle with radius r (b) Convert angle 0 to…

A: Given :   Radius : 4 inches Angle =135°

Q: 13. Find the mass of a thin funnel in the shape of a cone z = √x² + y²,1 ≤ z ≤ 4, if its density…

A: answer is in next step

Q: Eliminate the parameter and write the resulting rectangular equation whose graph represents the…

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Q: Write the equation of a sine or cosine function to describe the graph. MA

A: This is a problem related to graph of the trigonometric function. Based on the general formula of…

Q: 8. Use the method of Lagrange multipliers to find the maximum value of the function f(x, y) = xy…

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Q: Given f(x)= (b) 4x+3x² - 6x. Find All critical points of f(x) The interval on which f(x) is…

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Q: Find the area of the triangle formed by the functions using definite integrals f(x) = 2x+4 g(x) =…

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Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

A: We have to calculate first and second number

Q: Complete the proof of the identity by choosing the Rule that justifies each step. (1+tan ²x) cotx =…

A: The given identity,     1+tan2xcotx=secx cscx

Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. y 0 4 5 16 7 8 9…

A: Given

Q: Q1: Find partial derivatives of the function with respect with each variable 1) f(x, y) = 2x²-3y-4…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: nd f such that f'(x) = 2x² + 9x-9 and f(0) = 8. x) =

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Q: What can you say about the series Σan in each of the following cases using the Ratio Test? Answer…

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Q: 1. y = 3x? – 2x4 - 3x3 + − − 2x + 1; y(4) - 8

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Q: A firm has the marginal-demand function D'(x) = D=11,000 when x = $3 per unit. The demand function…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min.…

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Q: B) Estimate the next root of the function f(x)=x^3-x-1 using Muller method, let x0=1, x1=2, x2=1.5

A: Muller method: The Muller approach is applicable to any root-finding programme, but it is especially…

Q: Find T(t) and N(t) at the given point. T(0) N(0) x = e cost, y = et sint, z=et; t = 0

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Q: Mode QuesX 4) Cor + (y + 5)² + (y + 5)²

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Q: 000 000 000 000 OSE

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Q: The graph of y = f(x) has ƒ(5) = − 5, ƒ'(5) = 1, - - and f''(5) = - 1. Which of the following might…

A: Given query is to find the graph of the function.

Q: 15. What is the derivative of the function: F(x) = x cos(5x) F(x) = x cos(5x) F'(x) = (x)…

A: Solving

Q: Select the answers that best complete the given statement. The product rule for logarithms states…

A: Fill the blanks with the help of log rule

Q: Solve the differential equation below using series methods. y' 4xy' y = 0, y(0) = 4, y'(0) = 2 The…

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Q: Select the answers that best complete the given statement. The power rule for logarithms states that…

A: We can find the correct answer using the properties of log as below.

Q: erify the following identities: (Warning: Two-Column Proof will NOT be accepted) sin + cos 0 cot 0 =…

A: Solve as general

Q: 2. x' + - y3 = 1, D2y 3

A: Given :

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). X18 8118 3x² - 1 f(x) = Enter an…

A: The given function is f(x) = 3x2-1-x+3 We have to find the limit   ,    limx→∞f(x)    and…

Q: 2. Use the guidelines to sketch the curve. Y In x x²

A: The given function is: y=ln xx2 Note that the domain of the function is (0,∞). First of all, let's…

Q: Solve the given equation in the interval [0,2 π]. Note: The answer must be written as a multiple of…

A: This question can be solved using the concept of solution of trigonometric equations.

Q: Find the Maclaurin series and corresponding interval of convergence of the following function. 1…

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Q: Given sin(a)= and a is in quadrant IV and sin(B) = and /2<B<. Use sum and difference formulas to…

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Q: Logarithms (a) Expand the logarithm: In () (b) Solve the logarithm equation for x: log(x) + log(x +…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. | ti + t²³j|| dt = [

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Q: Question 5 Given the function: 5x 6 x < 0 ƒ(z) = { 5x 12 x 20 Calculate the following values: f(-1)…

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