If f(x) = v4x + 1 find f"(2). %3D

Q: Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. If the limit…

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Q: #3) Rewrite the integral 27 .2 p dr d0 0. in rectangular coordinates.

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Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

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Q: Differentiate the function. t(t? + 1)4 n 8t – 1 g(t) = In %3D

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Q: Let R be the region of the 1st quadrant enclosed by x=y^2 , x=2-y^2 ,y=0 . 1.1 Draw an area R.…

A: Given that;  x = y^2   and x = 2 - y^2       Let's find area between two curve in 1st quadrant.

Q: Use the chart below to find the average rate of change of the function f(x) over the interval given.…

A: Our Aim is to find the average rate of change of the function f(x) over the interval given.

Q: 1. Evaluate: f(x) = S- dx %3D 3D 0 14x2

A: To find the integral of given function. Note : As per our company guidelines we are supposed to…

Q: problem

A: We have to find the value of the given following conditions according to the given information

Q: ven the function f(x) = -x* – 4x termine its critical points and assify then, determine the point(s)…

A: Topic:- calculus

Q: The curve below has a horizontal tangent line at the point (1, 1) and at one other point. Find the…

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Q: Problem 11 Explain what it means that F(x) = x7 is an antiderivative of the function f(x) = 7x6.…

A: Solved below.

Q: Find the area of the region between the curves y = 12 – a? and y = x² – 6. Area between curves =

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Q: Find all angles, 0° < 0 < 360°, that satisfy the equation below, to the nearest 1oth of a degree. 4…

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Q: 1. When do find a volume by the slic (a) A type I region rotated abou (b) A type I region rotated…

A: Given question:- When do find a volume by the slicing method? Circle all that apply.

Q: Evaluate the limit In(x) lim x+1 x- 15x+ 14

A: Given,  limx→1ln(x)x2-15x+14

Q: 1. Consider A = (0,4, 2), B = (6,0,0) and C = (3,0,-1). %3D %3D (a) Find the unit vector in the same…

A: B-2A+C=&lt;6,0,0&gt;-2&lt;0,4,2&gt;+&lt;3,0,-1&gt;…

Q: only

A: Please refer to the image below

Q: Qu 1 a). Determine the LaPlace transform of the differential equation y"- y = e2 ; y(0) =0 and y"(0)…

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Q: Use implicit differentiation to find the equation of the tangent line to the curve xy + xy : (8, 1).…

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Q: x-6 Let f(x) = Use the properties of limits to find the indicated limits, if they exist. x -6x (A)…

A: Given: f(x)=x-6x2-6x

Q: A tire swing attached to a tree branch swings with an arc length of 40 feet on its first swing. On…

A: Question- A tire swing attached to a tree branch swings with an arc length of 40 feet on its first…

Q: A chemical factory tank stores an amount of liquid. After it has started to drain, it has a given…

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Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral s…

A: Arc length

Q: dy given the dx Use implicit differentiation to determine equation x° + y? 10. - dy dx

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Q: Q2 The following graph shows the position function r(t) of a mass attached to a spring. Note that…

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Q: 4. State whether the given measurements determine zero, one, or two triangles. A = 43° a = 8 b= 10…

A: We will use Sine /Cosine rule to find the triangle.

Q: Assume Za is opposite side a, 2B is opposite side b, and Zy is opposite side c. Solve triangle ABC…

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Q: Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If…

A: Use l hospital rule for finding the limit.

Q: V1. y=x' +1, the axes, x=3; 0X 1 y =-, , y-axis , y=1 & y =3 ; OY

A: Here we have to find the volume.

Q: Use implicit differentiation to find the point in the first quadrant on the ellipse 8x2 + 4y? slope…

A: Question- Use implicit differentiation to find the point in the first quadrant on the ellipse 8x² +…

Q: [6]. Consider the following set of parametric equations: x = r° - 3t y = 312 – 9 On which intervals…

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Q: of the indicated portion of the curve. K.

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Q: To find two real numbers whose difference i and whose product is minimum, we can find minimum value…

A: Topic:- calculus

Q: Decide from the graph whether a limit exists If a limit exists, find its value. lim F(x) X→1 What is…

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Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

A: For a given vector v→, length of the vector is denoted by v→  and direction vector is obtained by…

Q: Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If…

A: To find the limit.

Q: -2 Let -1 <r< 1, the series r na" is the power series representation of the n-1 function

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Q: 8. Using the Mean Value Theorem and Rolle's Theorem, show that3 + x – 1 =0 has exactly one real…

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Q: dz dz and at 3. Let z = x? + y, a = 2st and y = s - t2. Compute for

A: Answer (3)  Let z = x2 + y3 , x = 2st and y = s - t2  We have to compute for ∂z/∂x and ∂z/∂t

Q: Q2. Do as required 3. Evaluate: lim (-) X0 sinx

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Q: x+729 If k(x) = complete the table and use the results to find lim k(x). X+9 X-9 -9.1 -9.01 -9.001 -…

A: Using L hospital rule find limit

Q: A = (Round to thế heares There is no solution. e the value of a. Select the correct choice below…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: A power representation of the function f(r) = for -1<r<1i %3D 1+z Select one: 00 8n n-0

A: Given Rewrite where  a = 1

Q: 20. Find f2x/(5x-3)dx

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Q: Assuming annual compounding, find how long it would take for the general level of prices to double…

A: Given query is to find the time taken to double the amount.

Q: Find the volume of the solid of revolution when the region bounded by y = x + 1, the x – axis, and…

A: Recall: Shell method,  V=2π∫abr(x)h(x)dx We have, a=0, b=2, r(x)=3-x, h(x)=x+1

Q: Find each function value and limit. Use -∞ or co where appropriate. 7x* - 14x2 f(x) = 8x° +4 (A) f(-…

A: topic- functions and limits

Q: dy Find dt y = (21+ et) In t dy %D dt (Type an exact answer.)

A: To find the derivative of following function

Q: 7. Let f(x) = -3x + 9x - 3. a. Determine the x values where f"(x) = 0. b. Fill in the table below to…

A: In this question we have to find first three subpart.