a. Find the equation of the line tangent to the function at the given value of x. b. Use a graphing utility to plot the curve and the tangent line. y = cotx; x = T 3

Q: . The average rate of change of f(x)=x² +3x+4 over the interval 0≤x≤a is: (A) 3a (B) a² +3 (C) a +3…

A: To find the average rate of change of given function.

Q: Solve the right triangle for the unknown sides and angle. Round values to 1 decimal place if…

A: We can find the answers in the below steps.

Q: 3) Using the same graph of the function below, estimate the instantaneous rate of change of the…

A: Instantaneous rate of change:- it is a change at a perticular point as tangent.

Q: y(3x² + y²) dx + x(x² + 3y2)dy = 0

A: The given differential equation is; y(3x2+y2)dx+x(x2+3y2)dy=0

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Q: Given f (x) = x³ – 3x, What is the rate of change between domain [1, 3]?

A: Given f(x)=x3-3x

Q: Let f(x) = Sx²-5, x≤c 4x9, x>c If f(x) is continuous everywhere, then c =

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Q: Find the derivative of f(x)=√√8x³+27. O O O O a.) f'(x) = b.) f'(x) = d.) 1 2 3(24x3) 3 c.) f'(x) =…

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Q: Evaluate the following indefinite integral. 7 /²4v-[ dy 29- 5

A: This question can be solved usingthe concept on integration by substitution.

Q: 3 1. lim h→0 √√3h+1+1 2. lim √22 - 10 z→4 x-5 x 5 x²-25 3. lim 4. lim x→-3 2-√√x²-5 x+3

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Q: A calculator may be used for this question. An isosceles triangle is inscribed in a semicircle, as…

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Q: Given the following table of values, compute f(g(4)). z 1 2 3 Do not include "f(g(4))"In your…

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Q: Consider the following curve. y = 3x² - 9x + 1 Find the slope m of the tangent line at the point (4,…

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Q: d'y dx²* (a) y = 2x³ - 5x² + x d²y dx² (b) y = 7x² – 3x +8 d²y 14 x 3 dx² Find (c) y d²y dx² = 6x² -…

A: Given; a) y=2x3-5x2+x b) y=7x2-3x+8 c) y=(x+6)/x Repost the next part.

Q: Check here for instructional material to complete this problem. Graph y = 1 7x x+4.

A: To graph, y=-(1/4)x+4

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Q: I. Let z = √x2 + y¹. 1. Find 82 z дудх

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Q: Find the derivative of y2=x3

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Q: Differentiate the function

A: The question is differentiate the function G(t)=5t+7t This can be solved using the formula…

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

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Q: Find the derivative. d dx In x+4 (x-4)

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Q: A can of soda is placed inside the refrigerator. The soda has an initial temperature of T = 70-F.…

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Q: Solve the following differential equation 1. x²sin (y) dx - cot(y) dy=0

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the first partial derivatives of (Z). 4x f(x, y, z) = Caution: ay/bx and ay/(bx) are very…

A: Given partial derivative, zx,y,z=z.arctan-y4x

Q: Which piecewise function corresponds to this graph? -6-5-4-3-2-1 9 8 7 65 4 3 N ادانان -1 -2 -3 -51…

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Q: (4) Find the integral I = J (x³ - 7x² + 14x − 8)dx. Explain why this is not the same as the area you…

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Q: What is the total weight of the four cars in the table? Enter your answer in the box. kg Car 1 Car 2…

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Q: Find the values of the trigonometric functions of t from the given information. tan(t) = -9, csc(t)…

A: We have to find the trigonometry value

Q: Find the first partial derivatives of the function u(r, t) = 3 sin(r cost)). 1. u, (r, t) = [ 2.…

A: Topic- Partial derivative We are given, u(r,t)=3sin(rcost) in evaluationg ur(r,t), we will assume r…

Q: Marginal Revenus of a Commuter Air Service Williams Commuter Air Service realizes a monthly revenue…

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Q: Find the derivative of f(x) = -5x4+7-2x² a.) f'(x) = -20x³-4x-7-2x² b.) f'(x) = -20x³-4x-7-2x² In7…

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Q: Consider the following points: A(1, 1, −2), B(−1, 2, 1) and C(1, 0, 1). Determine the parametric

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Q: 1. Solve the following first order ordinary differential equations: dy_2x+6y-1 (a) = dx x + 3y + 2

A: The given differential equation is; dy/dx=(2x+6y-1)/(x+3y+2). Repost the next questions.

Q: x = 600 - p - 4p P + 2

A: Given the equation:- x=600-p-4pp+2    -----(i)

Q: j(t) = + +1 t +O Find j' (4)

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Q: 6. The following table gives values of two new functions f(x) and g(x). Use the table to find the…

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Q: Find the second derivative of y = 6xcosx.

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Q: Consider the following points: A(1, 1, −2), B(−1, 2, 1) and C(1, 0, 1). Determine the parametric…

A: We have to find the line passing through the point B that is perpendicular to the vector AB→ &…

Q: Use the graph to answer # 3-6. 2 0 -2 $ y 6 1 x² 3. On which intervals is the function increasing?…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the function is increasing…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. a =e⁹n/(n +…

A: Solution

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Find y′ if y=x^5 ln x

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Q: d Find (sin 2x) using sin 2x=2 sin x cos x dx d dx (sin 2x)= Express the derivative of sin 2x in…

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Q: A) Evaluate G(2011). Explain the meaning of this value in the context of the problem. Use correct…

A: To find out the value of G(2011), and also need to write down the meaning of this.

Q: A boat is anchored offshore. From the bow of the boat, 36 ft of anchor line is out with 5 ft of line…

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Q: 2. a) Find algebraically the x-intercept of y = 2 log x. b) Show algebraically that y 3log has an…

A: In order to find  x - intercept put y=0 in all three given function

Q: (d). ANS: lim an an = sin() n = 1. (Use l'Hôpital's rule to show that limg-00 sin(1/2) 1/2 = 1.) =

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Q: Find the derivative of the function at P in the direction of u g(x,y) = x-y xy +3' Po(-1,2), u=5i +…

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