Find the following. (0, 1), v = (5, -5) (a) lu|| (b) v|| (c) ||u + v|| (d) (e) ||v|| u+v

Q: Find the diameter of the circle 4x? + 4y² + 24y – 4x – 35 = 0. B. 6V2 C. 3V6 A. 6V3 D. 3/2 E. None…

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Q: Consider the function f(x) whose second derivative is f"(x) = 4x + 4 sin(x). If f(0) = 2 and %3D %3D…

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Q: 1. Find the area swept out by the spiral r = 0 from 0 = 0 to 0 = 2m. 2. Find the slope of the curve…

A: The expert is supposed to answer the first question only as per the guidelines of bartleby.com.

Q: 15. Apply the Mean Value Theorem to f(x) = Vx – 2x using the interval [0.4]

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Q: Question Evaluate the following limit using L'Hospital's rule. 168 2.x lim X12 [5x2 - 85x + 300…

A: topic - limits

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Q: Use the General Power Rule to find the derivative of the function. 4 g(x) (5x² + 3x)7

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Q: 4. Represent each of the following in the exponential form: (a) 1+i (b) Vz (c) vi, V-i

A: The objective is to find the exponential form.

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Q: (-1) Investigar la convergencia o divergencia de la serie E1 n+2

A: answer is in next step

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Q: Given the function f(x) = 2x + 3 f(r + h) – f(x) Find the difference quotient f(x + h) – f(x) Find…

A: f(x)=2x+3f(x+h)-f(x)h=2(x+h)+3-(2x+3)h                     =2x+2h+3-2x-3h                      =2hh…

Q: 4. Find the area under the following curves over the indicated interval: (c) z = -3t2, y = 2t, for 2…

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Q: nsider the Integral I when answering the following questions. g(x) dx

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Q: (1 2. 14 Approximate | * -6) dx using 4 rectangles. It is approximatley : (If necessary, round to…

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Q: Trapezoidal Rule. Use the Trapezoidal rule to approximate the integral 3e* dx with n = 4…

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Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Plan -A: f(t)=3090000e0.03t⇒f(5)=3090000e0.03(5)⇒f(5)≈3590068

Q: The function given below is discontinuous at x = 1 - 4 I1 O TRUE O FALSE

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Q: Let y = 2x + 2x +3. If Ar = 0.2 at a = 2, use linear approximation to estimate Ay %3D Ay Submit…

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Q: 3. Rewrite the following equation for a circle in standard form, identify center and radius. a² + y?…

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Q: Let ā = (– 1, 4) and b = (4, 5). Find the projection of b onto ä. proją b > Next Question

A: answer is in next step

Q: Use the formula k(t) ||r'(t) × r"(t)|| to find k(t). ||r(t)| r(t) = 11 cos(t)i+ 11 sin(t)j + 6tk

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Q: Question A vertical cylinder is leaking water at a rate of 8 m³/sec. If the cylinder has a height of…

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Q: ピ+5 1 lim t一+0|5t2 +6'2t (?, ?)

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Q: Compute the first four partial sums S1, .., S4 for the series having n th term an starting with n =1…

A: In this question we have to find partial sum.

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A: Given f(x) = 8√x^3

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A: Solve the following

Q: Trapezoidal Rule. Use the Trapezoidal rule to approximate the integral •2 X dx with n = 4…

A: The objective is to use trapezoidal rule to approximate the integral.

Q: 4 -2x?y = 1 r = sin(0) (b) Pick a coordinate that lies on the graph of the equation you picked from…

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Q: If f is decreasing on (a, b), then f ' (x) < 0 for each x in (a, b).   a) True b) False

A: We know that the function is said to be decreasing on I then f′(x) &lt; 0 at each point in an…

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 410 N/m as shown in the…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 7 %3! +3y +z 8 Find the normal vector, n,,…

A: We have to check whether the given plans are parallel or not or we have to find distance between the…

Q: ) t) P(t) = Poe(In(2) · where t is the number of subdivision periods (time), and P(t) is the size at…

A: Suppose a value was A and is now B, we work out the percentage increase (or decrease) as follows:…

Q: Evaluate the definite integral. 7t ej+t O e? - 1 i - elj+ 7 2 O e? - 1 i+ 7 k - O eľ - 1 i - 7 1 k -…

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Q: Question A spherical balloon is being filled with air at the constant rate of 10 cm'/sec. How fast…

A: This is a problem related to rate of changes. Based on the formula of volume of sphere we will…

Q: Question For the function f(x), whose graph is shown below in blue, find lim f(x). The red vertical…

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Q: If the function / is continuous for all real numbers and if f(x)= ² when x*-2, x+2 then f(-2) = O…

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Q: Apply Theorems 5 and 6 to find general solutions of the dif- ferential equations given in Problems…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Question 3 Assume y is a differentiable function of x which satisfies the following equation: y2 +…

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Q: 里() t² + 5 1 lim t一+05t2 +6'2t (?, ?)

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Q: 9) Given the function f(x)=-x+4 , find the net signed area between f (x) and the x-axis over the…

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Q: Find the direction cosines and angles of u and show that cos a + cos B + cos y = 1. (Round your…

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Q: Solve the given differential equation by separation of variables. dy - ху + 4y — х - 4 xp ху — 5у +…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. CSC x…

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Q: A differentiable function /has one critical number at x 6. Identify the relative extrema of f at the…

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Q: Use the Mean Value Theorem in applications Question If a rock is dropped from a height of 37 ft.,…

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Q: 3 Consider the function f(x) Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(æ) =…

A: Here, the given function is: f(x)=5x3-3x6