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Q: - 3x³ - 5: For the function y = f(x) = df a. Find at z = 2. dx f'(2) = b. Find a formula for x = f…

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Q: a. x²-16 lim- x-4 x-4

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5. Does the function f(x) = If yes, what are they? If no, explain your reasoning. have absolute…

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Q: QUESTION 9 Eliminate the parameter to find a Cartesian equation of the curve. x = e²¹ - 1, y = 4f

A: Given that    x = e2t - 1  ,  y = e4t  We have to find the cartesian equation of the curve to…

Q: ind the area of the blue region. It is the area under the curve. y y = 3x+1 y=7-x 6 8 4 2 4 00

A: Follow next step

Q: f(x)= = x+1 1³ - 2x² + 1

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Q: Let f (x) = x³ 3x². - Find the absolute minimum value of f(x) on the interval [1, 4].

A: We have to find the function value

Q: Use Newton's method to approximate a root of the equation 3z7 + 2z¹ + 2 = 0 as follows. 3 be the…

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Q: √x²√9 - x² dx

A: We will solve the integration,

Q: Algurant substitut 1. Jx √x - 2 dx X

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Q: Ultrasound is often used to make images of developing fetuses. In particular, by measuring the size…

A: Given query is to find the rate of change.

Q: 11. The arc length of the graph of a function f(x) on the interval [a, b] is defined as follows. L =…

A: Arc length of Function

Q: 14 mm 11 mm X h mm 12 mm Part 1: Part 2: Part 3: Part 4: Let ʼn be the height of AWXY. Find the…

A: This question is based on traingle Area.

Q: (r2 – 4xy – 2y2) dx + (y2 +4xy – 2x2) dy = 0 - Solve

A: To solve the differential equation.

Q: IPIAI Evaluate p²^z^¸¶= J=

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: Strontium-90 is a radioactive material that decays according to the function A(t) = A e scientist…

A: This question can be solved using the concept of exponential growth and decay.

Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 200 + 1000t - 150t², where t…

A: To find out the numbe of cars pass through the intersection between 6 am and 11 am.

Q: 2. Evaluate the indefinite integrals. (a) fx² - 2e*dx (b) Evaluate (3-4x)¹5 dx

A: We have to evaluate the indefinite integral

Q: Question 2 Suppose f(6) = - 5 and f'(6) 5. Find the following. = d + 3x dz ((7x². : + 5)ef (²)) at x…

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Q: For the function y = f(x) = 4 1+x²³ a. Find the slope of the line tangent to its inverse function at…

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Q: Find the area of the region enclosed by the graphs of x = y³ - 14y and y + 3x = 0.

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Q: 1.57 1 (1.5,2) (-0.7,02) (0.7,0.2) -1.5 -0.5 1 1.5 --0.5+ -1.5 Where does f have absolute minimums?…

A: Recall:  In graph, y-coordinate at the lowest and highest points are called the absolute minimum and…

Q: Find the derivative of the function. f(x) = (5x + 7)³ (06² +00) ² f1(x)

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Q: 2π сos20 Using complex variable techniques evaluate the real integral: 2 dᎾ . 4-3cos0 Classify the…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for…

Q: Decide if the limit exists. If it exists, find it. x²-25 a. lim b. lim X-5 x+5 x²-36 x-5 x-5

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Q: Exercise (2) - Solve using paper solution. d²y dy 2- - y + x = 0 dx² dx Solve using…

A: Find your answer below

Q: * (2 √x (2+x) dx

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Q: Q8/ A tank contains 100 gal of fresh water. A solution containing 1 lb/gal of soluble lawn…

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Q: The graph of g consists of two straight lines and a semicircle as shown in the figure. y 20 y = g(x)…

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Q: 5. 39+5 dy (59-7)2

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Q: (-0.7, 0) -0.5 (2-1) 2 ده - د.0 - گا - 2t (0.7,0.2) (1.5.2) ۱۰

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Q: -1.5 (-0.7,02) -0.5 2+ 1.57 1 3 0.5 (0.7,0.2) -0.5- (-1.2,-1) -1.5- -2 are the critical values of f?…

A: Given query is to find critical points and interval where derivative is greater than zero and less…

Q: Find Ay and f '(x) Ax for the given function. y = f(x) = =, x = 4, and Ax = 0.5 O-0.02778; -0.125 O…

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Q: Consider the function g defined as g(x) = { Evaluate the following limits. 1.) lim g(x) 3x+2 X-2…

A: limit of a function f(x) at a point x=a exists iff limx→a-f(x)=limx→a+f(x)

Q: Find the general solution to the differential equation. xy x-6 Preview TIP Enter your answer as an…

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Q: he conclusion of Green's Theorem by evaluating both sides of each of the two forms of Green's…

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Q: If f(x) = 6(a-3/+7), find f'(2). Find f'(5).

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Q: 8. Using any work found in Question 7, det 2 3x (x²-5)³ dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2. Calculate the following transcendental integrals: a) S² exee* dx X b) S (x²+1)In (x²+1) dx cos…

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Q: 1 Andrea deposited $5,000 into a 30-year retirement account which compounds continuously. If she…

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Q: Consider the curve parametrized by a = e-sin(0) and y = ecos(8) for 0 ≤ 0 < 2π. At what points (x,…

A: The parametrized curve x=e-sinθ and y=ecosθ for 0≤θ&lt;2π.

Q: As shown in the figure below, Isabel is looking at a tree that is leaning at an angle of 87° with…

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Q: Va - 2 find: Va + 2 If f(x) = f'(x) = f'(2) = %3D Submit Question

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Q: X 0 2000 A television camera at ground level is 2000 feet away from the launching pad of a space…

A: Solution is done in step 2

Q: 8x³ + 4xy - y³ = 1

A: Given :

Q: The relationship between the number of decibels ßand the intensity of a sound I (in watts per square…

A: Solution is done in step 2

Q: Consider the following. y 4 y=x³ - 2x -2 y = 2x (a) Find the points of intersection of the curves.…

A: This question is based on definite integral.

Q: sec7(t) tan(t) dt Evaluate the following integral using substitution rule or integration by…

A: We have to find the solutions

Q: Find the length of the curve parameterized by x = 2 + 3t² and y = 3 + 2t³ from t = 0 to t = 3.

A: To find the length of the curve parameterized by x=2+3t2 and y=3+2t3 from t=0 to t=3.